1,1,73,102,3.812693,"\text{Not used}","int(tan(c + d*x)^5*(a + a*tan(c + d*x)*1i),x)","\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{3}+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}}{5}+a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}","Not used",1,"(a*tan(c + d*x)*1i - (a*tan(c + d*x)^2)/2 - (a*tan(c + d*x)^3*1i)/3 + (a*tan(c + d*x)^4)/4 + (a*tan(c + d*x)^5*1i)/5 + a*log(tan(c + d*x) + 1i))/d","B"
2,1,63,83,3.707424,"\text{Not used}","int(tan(c + d*x)^4*(a + a*tan(c + d*x)*1i),x)","\frac{\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2}-a\,\mathrm{tan}\left(c+d\,x\right)+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{4}+a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((a*tan(c + d*x)^3)/3 - (a*tan(c + d*x)^2*1i)/2 - a*tan(c + d*x) + (a*tan(c + d*x)^4*1i)/4 + a*log(tan(c + d*x) + 1i)*1i)/d","B"
3,1,51,67,3.688758,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i),x)","-\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{3}+a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}","Not used",1,"-(a*tan(c + d*x)*1i - (a*tan(c + d*x)^2)/2 - (a*tan(c + d*x)^3*1i)/3 + a*log(tan(c + d*x) + 1i))/d","B"
4,1,39,49,3.747756,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i),x)","\frac{a\,\left(2\,\mathrm{tan}\left(c+d\,x\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}\right)}{2\,d}","Not used",1,"(a*(2*tan(c + d*x) - log(tan(c + d*x) + 1i)*2i + tan(c + d*x)^2*1i))/(2*d)","B"
5,1,25,34,3.776743,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i),x)","\frac{a\,\left(\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{d}","Not used",1,"(a*(log(tan(c + d*x) + 1i) + tan(c + d*x)*1i))/d","B"
6,1,17,19,3.761440,"\text{Not used}","int(a + a*tan(c + d*x)*1i,x)","\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(a*log(tan(c + d*x) + 1i)*1i)/d","B"
7,1,19,19,3.778881,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i),x)","\frac{a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(a*atan(2*tan(c + d*x) + 1i)*2i)/d","B"
8,1,27,32,3.733843,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i),x)","-\frac{a\,\left(\mathrm{cot}\left(c+d\,x\right)+2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\right)}{d}","Not used",1,"-(a*(cot(c + d*x) + 2*atan(2*tan(c + d*x) + 1i)))/d","B"
9,1,47,50,3.790349,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i),x)","-\frac{a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}-\frac{\frac{a}{2}+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^2}","Not used",1,"- (a*atan(2*tan(c + d*x) + 1i)*2i)/d - (a/2 + a*tan(c + d*x)*1i)/(d*tan(c + d*x)^2)","B"
10,1,57,64,3.871709,"\text{Not used}","int(cot(c + d*x)^4*(a + a*tan(c + d*x)*1i),x)","\frac{2\,a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{-a\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{1{}\mathrm{i}\,a\,\mathrm{tan}\left(c+d\,x\right)}{2}+\frac{a}{3}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^3}","Not used",1,"(2*a*atan(2*tan(c + d*x) + 1i))/d - (a/3 + (a*tan(c + d*x)*1i)/2 - a*tan(c + d*x)^2)/(d*tan(c + d*x)^3)","B"
11,1,70,83,3.978083,"\text{Not used}","int(cot(c + d*x)^5*(a + a*tan(c + d*x)*1i),x)","\frac{a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}-\frac{-1{}\mathrm{i}\,a\,{\mathrm{tan}\left(c+d\,x\right)}^3-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{1{}\mathrm{i}\,a\,\mathrm{tan}\left(c+d\,x\right)}{3}+\frac{a}{4}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}","Not used",1,"(a*atan(2*tan(c + d*x) + 1i)*2i)/d - (a/4 + (a*tan(c + d*x)*1i)/3 - (a*tan(c + d*x)^2)/2 - a*tan(c + d*x)^3*1i)/(d*tan(c + d*x)^4)","B"
12,1,79,100,4.065454,"\text{Not used}","int(cot(c + d*x)^6*(a + a*tan(c + d*x)*1i),x)","-\frac{2\,a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^4-\frac{1{}\mathrm{i}\,a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{2}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{3}+\frac{1{}\mathrm{i}\,a\,\mathrm{tan}\left(c+d\,x\right)}{4}+\frac{a}{5}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^5}","Not used",1,"- (2*a*atan(2*tan(c + d*x) + 1i))/d - (a/5 + (a*tan(c + d*x)*1i)/4 - (a*tan(c + d*x)^2)/3 - (a*tan(c + d*x)^3*1i)/2 + a*tan(c + d*x)^4)/(d*tan(c + d*x)^5)","B"
13,1,86,112,3.702185,"\text{Not used}","int(tan(c + d*x)^4*(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{2\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}-2\,a^2\,\mathrm{tan}\left(c+d\,x\right)-\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}-a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{2}}{d}","Not used",1,"(a^2*log(tan(c + d*x) + 1i)*2i - 2*a^2*tan(c + d*x) - a^2*tan(c + d*x)^2*1i + (2*a^2*tan(c + d*x)^3)/3 + (a^2*tan(c + d*x)^4*1i)/2 - (a^2*tan(c + d*x)^5)/5)/d","B"
14,1,73,93,3.801628,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{2\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)-a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}+a^2\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}-\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3\,2{}\mathrm{i}}{3}}{d}","Not used",1,"-(2*a^2*log(tan(c + d*x) + 1i) + a^2*tan(c + d*x)*2i - a^2*tan(c + d*x)^2 - (a^2*tan(c + d*x)^3*2i)/3 + (a^2*tan(c + d*x)^4)/4)/d","B"
15,1,60,64,3.787155,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}-2\,a^2\,\mathrm{tan}\left(c+d\,x\right)+a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}-a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{d}","Not used",1,"-(a^2*log(tan(c + d*x) + 1i)*2i - 2*a^2*tan(c + d*x) - a^2*tan(c + d*x)^2*1i + (a^2*tan(c + d*x)^3)/3)/d","B"
16,1,40,62,3.742388,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^2,x)","\frac{a^2\,\left(4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)-{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}\right)}{2\,d}","Not used",1,"(a^2*(4*log(tan(c + d*x) + 1i) + tan(c + d*x)*4i - tan(c + d*x)^2))/(2*d)","B"
17,1,29,38,3.678764,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2,x)","\frac{a^2\,\left(-\mathrm{tan}\left(c+d\,x\right)+\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}\right)}{d}","Not used",1,"(a^2*(log(tan(c + d*x) + 1i)*2i - tan(c + d*x)))/d","B"
18,1,30,37,3.733036,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{a^2\,\left(2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\right)}{d}","Not used",1,"-(a^2*(2*log(tan(c + d*x) + 1i) - log(tan(c + d*x))))/d","B"
19,1,29,38,3.826308,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{a^2\,\left(\mathrm{cot}\left(c+d\,x\right)+4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\right)}{d}","Not used",1,"-(a^2*(cot(c + d*x) + 4*atan(2*tan(c + d*x) + 1i)))/d","B"
20,1,53,58,3.840263,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{\frac{a^2}{2}+a^2\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\frac{a^2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d}","Not used",1,"- (a^2*tan(c + d*x)*2i + a^2/2)/(d*tan(c + d*x)^2) - (a^2*atan(2*tan(c + d*x) + 1i)*4i)/d","B"
21,1,68,74,3.811994,"\text{Not used}","int(cot(c + d*x)^4*(a + a*tan(c + d*x)*1i)^2,x)","\frac{2\,a^2\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{4\,a^2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{a^2\,{\mathrm{cot}\left(c+d\,x\right)}^3}{3\,d}-\frac{a^2\,{\mathrm{cot}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{d}","Not used",1,"(2*a^2*cot(c + d*x))/d + (4*a^2*atan(2*tan(c + d*x) + 1i))/d - (a^2*cot(c + d*x)^2*1i)/d - (a^2*cot(c + d*x)^3)/(3*d)","B"
22,1,80,93,3.915215,"\text{Not used}","int(cot(c + d*x)^5*(a + a*tan(c + d*x)*1i)^2,x)","\frac{a^2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d}-\frac{-a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3\,2{}\mathrm{i}-a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{3}+\frac{a^2}{4}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}","Not used",1,"(a^2*atan(2*tan(c + d*x) + 1i)*4i)/d - ((a^2*tan(c + d*x)*2i)/3 + a^2/4 - a^2*tan(c + d*x)^2 - a^2*tan(c + d*x)^3*2i)/(d*tan(c + d*x)^4)","B"
23,1,92,112,4.155632,"\text{Not used}","int(cot(c + d*x)^6*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{4\,a^2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{2\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^4-a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}-\frac{2\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{3}+\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{2}+\frac{a^2}{5}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^5}","Not used",1,"- (4*a^2*atan(2*tan(c + d*x) + 1i))/d - ((a^2*tan(c + d*x)*1i)/2 + a^2/5 - (2*a^2*tan(c + d*x)^2)/3 - a^2*tan(c + d*x)^3*1i + 2*a^2*tan(c + d*x)^4)/(d*tan(c + d*x)^5)","B"
24,1,87,126,3.792245,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{4\,a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)+a^3\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}-2\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2-\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}}{3}+\frac{3\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}+\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}}{5}}{d}","Not used",1,"-(4*a^3*log(tan(c + d*x) + 1i) + a^3*tan(c + d*x)*4i - 2*a^3*tan(c + d*x)^2 - (a^3*tan(c + d*x)^3*4i)/3 + (3*a^3*tan(c + d*x)^4)/4 + (a^3*tan(c + d*x)^5*1i)/5)/d","B"
25,1,73,90,3.803664,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,4{}\mathrm{i}-4\,a^3\,\mathrm{tan}\left(c+d\,x\right)-a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2\,2{}\mathrm{i}+a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3+\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{4}}{d}","Not used",1,"-(a^3*log(tan(c + d*x) + 1i)*4i - 4*a^3*tan(c + d*x) - a^3*tan(c + d*x)^2*2i + a^3*tan(c + d*x)^3 + (a^3*tan(c + d*x)^4*1i)/4)/d","B"
26,1,59,85,3.728080,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^3,x)","\frac{4\,a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)+a^3\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}-\frac{3\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}-\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{3}}{d}","Not used",1,"(4*a^3*log(tan(c + d*x) + 1i) + a^3*tan(c + d*x)*4i - (3*a^3*tan(c + d*x)^2)/2 - (a^3*tan(c + d*x)^3*1i)/3)/d","B"
27,1,41,63,3.682501,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3,x)","-\frac{a^3\,\left(6\,\mathrm{tan}\left(c+d\,x\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}\right)}{2\,d}","Not used",1,"-(a^3*(6*tan(c + d*x) - log(tan(c + d*x) + 1i)*8i + tan(c + d*x)^2*1i))/(2*d)","B"
28,1,39,60,3.770871,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{a^3\,\left(4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{d}","Not used",1,"-(a^3*(4*log(tan(c + d*x) + 1i) + tan(c + d*x)*1i - log(tan(c + d*x))))/d","B"
29,1,38,69,3.809456,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{a^3\,\left(\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,4{}\mathrm{i}+\mathrm{cot}\left(c+d\,x\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,3{}\mathrm{i}\right)}{d}","Not used",1,"-(a^3*(log(tan(c + d*x) + 1i)*4i + cot(c + d*x) - log(tan(c + d*x))*3i))/d","B"
30,1,53,71,3.781588,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\frac{a^3}{2}+a^3\,\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\frac{a^3\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}}{d}","Not used",1,"- (a^3*tan(c + d*x)*3i + a^3/2)/(d*tan(c + d*x)^2) - (a^3*atan(2*tan(c + d*x) + 1i)*8i)/d","B"
31,1,68,101,3.793696,"\text{Not used}","int(cot(c + d*x)^4*(a + a*tan(c + d*x)*1i)^3,x)","\frac{4\,a^3\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{8\,a^3\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{a^3\,{\mathrm{cot}\left(c+d\,x\right)}^3}{3\,d}-\frac{a^3\,{\mathrm{cot}\left(c+d\,x\right)}^2\,3{}\mathrm{i}}{2\,d}","Not used",1,"(4*a^3*cot(c + d*x))/d + (8*a^3*atan(2*tan(c + d*x) + 1i))/d - (a^3*cot(c + d*x)^2*3i)/(2*d) - (a^3*cot(c + d*x)^3)/(3*d)","B"
32,1,80,108,3.905025,"\text{Not used}","int(cot(c + d*x)^5*(a + a*tan(c + d*x)*1i)^3,x)","\frac{a^3\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}}{d}-\frac{-a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}-2\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2+a^3\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}+\frac{a^3}{4}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}","Not used",1,"(a^3*atan(2*tan(c + d*x) + 1i)*8i)/d - (a^3*tan(c + d*x)*1i + a^3/4 - 2*a^3*tan(c + d*x)^2 - a^3*tan(c + d*x)^3*4i)/(d*tan(c + d*x)^4)","B"
33,1,92,126,4.105022,"\text{Not used}","int(cot(c + d*x)^6*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{8\,a^3\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{4\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^4-a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,2{}\mathrm{i}-\frac{4\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{3}+\frac{a^3\,\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}}{4}+\frac{a^3}{5}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^5}","Not used",1,"- (8*a^3*atan(2*tan(c + d*x) + 1i))/d - ((a^3*tan(c + d*x)*3i)/4 + a^3/5 - (4*a^3*tan(c + d*x)^2)/3 - a^3*tan(c + d*x)^3*2i + 4*a^3*tan(c + d*x)^4)/(d*tan(c + d*x)^5)","B"
34,1,100,160,3.763662,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)-4\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{7\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}-\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^6}{6}+a^4\,\mathrm{tan}\left(c+d\,x\right)\,8{}\mathrm{i}-\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3\,8{}\mathrm{i}}{3}+\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^5\,4{}\mathrm{i}}{5}}{d}","Not used",1,"-(8*a^4*log(tan(c + d*x) + 1i) + a^4*tan(c + d*x)*8i - 4*a^4*tan(c + d*x)^2 - (a^4*tan(c + d*x)^3*8i)/3 + (7*a^4*tan(c + d*x)^4)/4 + (a^4*tan(c + d*x)^5*4i)/5 - (a^4*tan(c + d*x)^6)/6)/d","B"
35,1,87,116,3.731710,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{\frac{7\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}-8\,a^4\,\mathrm{tan}\left(c+d\,x\right)-\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}-a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2\,4{}\mathrm{i}+a^4\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{d}","Not used",1,"-(a^4*log(tan(c + d*x) + 1i)*8i - 8*a^4*tan(c + d*x) - a^4*tan(c + d*x)^2*4i + (7*a^4*tan(c + d*x)^3)/3 + a^4*tan(c + d*x)^4*1i - (a^4*tan(c + d*x)^5)/5)/d","B"
36,1,72,108,3.721832,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^4,x)","\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)-\frac{7\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}+a^4\,\mathrm{tan}\left(c+d\,x\right)\,8{}\mathrm{i}-\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}}{3}}{d}","Not used",1,"(8*a^4*log(tan(c + d*x) + 1i) + a^4*tan(c + d*x)*8i - (7*a^4*tan(c + d*x)^2)/2 - (a^4*tan(c + d*x)^3*4i)/3 + (a^4*tan(c + d*x)^4)/4)/d","B"
37,1,59,89,3.691479,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4,x)","\frac{\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}-7\,a^4\,\mathrm{tan}\left(c+d\,x\right)+a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}-a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2\,2{}\mathrm{i}}{d}","Not used",1,"(a^4*log(tan(c + d*x) + 1i)*8i - 7*a^4*tan(c + d*x) - a^4*tan(c + d*x)^2*2i + (a^4*tan(c + d*x)^3)/3)/d","B"
38,1,64,86,3.800498,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^4,x)","\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}-\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}+\frac{a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{a^4\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{d}","Not used",1,"(a^4*tan(c + d*x)^2)/(2*d) - (a^4*tan(c + d*x)*4i)/d - (8*a^4*log(tan(c + d*x) + 1i))/d + (a^4*log(tan(c + d*x)))/d","B"
39,1,63,71,4.000355,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^4,x)","\frac{a^4\,\mathrm{tan}\left(c+d\,x\right)}{d}-\frac{a^4\,\mathrm{cot}\left(c+d\,x\right)}{d}-\frac{a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}}{d}+\frac{a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,4{}\mathrm{i}}{d}","Not used",1,"(a^4*tan(c + d*x))/d - (a^4*cot(c + d*x))/d - (a^4*log(tan(c + d*x) + 1i)*8i)/d + (a^4*log(tan(c + d*x))*4i)/d","B"
40,1,65,103,3.965807,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^4,x)","\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{a^4\,{\mathrm{cot}\left(c+d\,x\right)}^2}{2\,d}-\frac{7\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{a^4\,\mathrm{cot}\left(c+d\,x\right)\,4{}\mathrm{i}}{d}","Not used",1,"(8*a^4*log(tan(c + d*x) + 1i))/d - (a^4*cot(c + d*x)*4i)/d - (a^4*cot(c + d*x)^2)/(2*d) - (7*a^4*log(tan(c + d*x)))/d","B"
41,1,68,103,3.977155,"\text{Not used}","int(cot(c + d*x)^4*(a + a*tan(c + d*x)*1i)^4,x)","\frac{7\,a^4\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{16\,a^4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{a^4\,{\mathrm{cot}\left(c+d\,x\right)}^3}{3\,d}-\frac{a^4\,{\mathrm{cot}\left(c+d\,x\right)}^2\,2{}\mathrm{i}}{d}","Not used",1,"(7*a^4*cot(c + d*x))/d + (16*a^4*atan(2*tan(c + d*x) + 1i))/d - (a^4*cot(c + d*x)^2*2i)/d - (a^4*cot(c + d*x)^3)/(3*d)","B"
42,1,80,134,4.009024,"\text{Not used}","int(cot(c + d*x)^5*(a + a*tan(c + d*x)*1i)^4,x)","\frac{a^4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,16{}\mathrm{i}}{d}-\frac{-a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3\,8{}\mathrm{i}-\frac{7\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{a^4\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{3}+\frac{a^4}{4}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}","Not used",1,"(a^4*atan(2*tan(c + d*x) + 1i)*16i)/d - ((a^4*tan(c + d*x)*4i)/3 + a^4/4 - (7*a^4*tan(c + d*x)^2)/2 - a^4*tan(c + d*x)^3*8i)/(d*tan(c + d*x)^4)","B"
43,1,92,142,4.271179,"\text{Not used}","int(cot(c + d*x)^6*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{16\,a^4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{8\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^4-a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}-\frac{7\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{3}+a^4\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}+\frac{a^4}{5}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^5}","Not used",1,"- (16*a^4*atan(2*tan(c + d*x) + 1i))/d - (a^4*tan(c + d*x)*1i + a^4/5 - (7*a^4*tan(c + d*x)^2)/3 - a^4*tan(c + d*x)^3*4i + 8*a^4*tan(c + d*x)^4)/(d*tan(c + d*x)^5)","B"
44,1,107,162,4.679564,"\text{Not used}","int(cot(c + d*x)^7*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{a^4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,16{}\mathrm{i}}{d}-\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^5\,8{}\mathrm{i}+4\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^4-\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3\,8{}\mathrm{i}}{3}-\frac{7\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{4}+\frac{a^4\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{5}+\frac{a^4}{6}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^6}","Not used",1,"- (a^4*atan(2*tan(c + d*x) + 1i)*16i)/d - ((a^4*tan(c + d*x)*4i)/5 + a^4/6 - (7*a^4*tan(c + d*x)^2)/4 - (a^4*tan(c + d*x)^3*8i)/3 + 4*a^4*tan(c + d*x)^4 + a^4*tan(c + d*x)^5*8i)/(d*tan(c + d*x)^6)","B"
45,1,125,130,4.069709,"\text{Not used}","int(tan(c + d*x)^6/(a + a*tan(c + d*x)*1i),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a\,d}-\frac{2\,\mathrm{tan}\left(c+d\,x\right)}{a\,d}-\frac{1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,11{}\mathrm{i}}{4\,a\,d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{4\,a\,d}","Not used",1,"(tan(c + d*x)^2*1i)/(a*d) - (log(tan(c + d*x) + 1i)*1i)/(4*a*d) - (2*tan(c + d*x))/(a*d) - 1i/(2*a*d*(tan(c + d*x)*1i + 1)) - (log(tan(c + d*x) - 1i)*11i)/(4*a*d) + tan(c + d*x)^3/(3*a*d) - (tan(c + d*x)^4*1i)/(4*a*d)","B"
46,1,106,109,3.978963,"\text{Not used}","int(tan(c + d*x)^5/(a + a*tan(c + d*x)*1i),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{4\,a\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{a\,d}-\frac{1}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{9\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{4\,a\,d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{3\,a\,d}","Not used",1,"log(tan(c + d*x) + 1i)/(4*a*d) - (9*log(tan(c + d*x) - 1i))/(4*a*d) + (tan(c + d*x)*2i)/(a*d) - 1/(2*a*d*(tan(c + d*x)*1i + 1)) + tan(c + d*x)^2/(2*a*d) - (tan(c + d*x)^3*1i)/(3*a*d)","B"
47,1,91,90,4.006046,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,7{}\mathrm{i}}{4\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)}{a\,d}+\frac{1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*7i)/(4*a*d) + (log(tan(c + d*x) + 1i)*1i)/(4*a*d) + tan(c + d*x)/(a*d) + 1i/(2*a*d*(tan(c + d*x)*1i + 1)) - (tan(c + d*x)^2*1i)/(2*a*d)","B"
48,1,73,74,3.999986,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i),x)","\frac{5\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{4\,a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{4\,a\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{a\,d}+\frac{1}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(5*log(tan(c + d*x) - 1i))/(4*a*d) - log(tan(c + d*x) + 1i)/(4*a*d) - (tan(c + d*x)*1i)/(a*d) + 1/(2*a*d*(tan(c + d*x)*1i + 1))","B"
49,1,61,50,3.947063,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,3{}\mathrm{i}}{4\,a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a\,d}-\frac{1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"- (log(tan(c + d*x) - 1i)*3i)/(4*a*d) - (log(tan(c + d*x) + 1i)*1i)/(4*a*d) - 1i/(2*a*d*(tan(c + d*x)*1i + 1))","B"
50,1,29,33,3.941879,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i),x)","-\frac{x\,1{}\mathrm{i}}{2\,a}-\frac{1}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"- (x*1i)/(2*a) - 1/(2*a*d*(tan(c + d*x)*1i + 1))","B"
51,1,29,33,3.951367,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i),x)","\frac{x}{2\,a}+\frac{1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"x/(2*a) + 1i/(2*a*d*(tan(c + d*x)*1i + 1))","B"
52,1,72,47,4.041536,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{4\,a\,d}+\frac{1}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{4\,a\,d}","Not used",1,"1/(2*a*d*(tan(c + d*x)*1i + 1)) - log(tan(c + d*x) + 1i)/(4*a*d) - (3*log(tan(c + d*x) - 1i))/(4*a*d) + log(tan(c + d*x))/(a*d)","B"
53,1,96,70,3.985922,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,5{}\mathrm{i}}{4\,a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a\,d}-\frac{\frac{1}{a}+\frac{\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}}{2\,a}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,1{}\mathrm{i}}{a\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*5i)/(4*a*d) - (log(tan(c + d*x) + 1i)*1i)/(4*a*d) - ((tan(c + d*x)*3i)/(2*a) + 1/a)/(d*(tan(c + d*x) + tan(c + d*x)^2*1i)) - (log(tan(c + d*x))*1i)/(a*d)","B"
54,1,110,90,3.973248,"\text{Not used}","int(cot(c + d*x)^3/(a + a*tan(c + d*x)*1i),x)","\frac{7\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{4\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{4\,a\,d}-\frac{2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a\,d}-\frac{\frac{1}{2\,a}+\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,a}-\frac{\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,a}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^2\right)}","Not used",1,"(7*log(tan(c + d*x) - 1i))/(4*a*d) + log(tan(c + d*x) + 1i)/(4*a*d) - (2*log(tan(c + d*x)))/(a*d) - (1/(2*a) - (tan(c + d*x)*1i)/(2*a) + (3*tan(c + d*x)^2)/(2*a))/(d*(tan(c + d*x)^2 + tan(c + d*x)^3*1i))","B"
55,1,126,108,4.090589,"\text{Not used}","int(cot(c + d*x)^4/(a + a*tan(c + d*x)*1i),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,9{}\mathrm{i}}{4\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,2{}\mathrm{i}}{a\,d}+\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{6\,a}-\frac{1}{3\,a}+\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,5{}\mathrm{i}}{2\,a}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^3\right)}","Not used",1,"(log(tan(c + d*x) + 1i)*1i)/(4*a*d) - (log(tan(c + d*x) - 1i)*9i)/(4*a*d) + (log(tan(c + d*x))*2i)/(a*d) + ((tan(c + d*x)*1i)/(6*a) - 1/(3*a) + (3*tan(c + d*x)^2)/(2*a) + (tan(c + d*x)^3*5i)/(2*a))/(d*(tan(c + d*x)^3 + tan(c + d*x)^4*1i))","B"
56,1,132,142,4.060780,"\text{Not used}","int(tan(c + d*x)^6/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,49{}\mathrm{i}}{8\,a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^2\,d}+\frac{4\,\mathrm{tan}\left(c+d\,x\right)}{a^2\,d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{a^2\,d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,a^2\,d}+\frac{\frac{5}{2\,a^2}+\frac{\mathrm{tan}\left(c+d\,x\right)\,11{}\mathrm{i}}{4\,a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*49i)/(8*a^2*d) - (log(tan(c + d*x) + 1i)*1i)/(8*a^2*d) + (4*tan(c + d*x))/(a^2*d) - (tan(c + d*x)^2*1i)/(a^2*d) - tan(c + d*x)^3/(3*a^2*d) + ((tan(c + d*x)*11i)/(4*a^2) + 5/(2*a^2))/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i))","B"
57,1,114,124,4.031596,"\text{Not used}","int(tan(c + d*x)^5/(a + a*tan(c + d*x)*1i)^2,x)","\frac{31\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{8\,a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{8\,a^2\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{a^2\,d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,a^2\,d}+\frac{\frac{9\,\mathrm{tan}\left(c+d\,x\right)}{4\,a^2}-\frac{2{}\mathrm{i}}{a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"(31*log(tan(c + d*x) - 1i))/(8*a^2*d) + log(tan(c + d*x) + 1i)/(8*a^2*d) - (tan(c + d*x)*2i)/(a^2*d) - tan(c + d*x)^2/(2*a^2*d) + ((9*tan(c + d*x))/(4*a^2) - 2i/a^2)/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i))","B"
58,1,100,104,4.025631,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,17{}\mathrm{i}}{8\,a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^2\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)}{a^2\,d}-\frac{\frac{3}{2\,a^2}+\frac{\mathrm{tan}\left(c+d\,x\right)\,7{}\mathrm{i}}{4\,a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) + 1i)*1i)/(8*a^2*d) - (log(tan(c + d*x) - 1i)*17i)/(8*a^2*d) - tan(c + d*x)/(a^2*d) - ((tan(c + d*x)*7i)/(4*a^2) + 3/(2*a^2))/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i))","B"
59,1,84,79,4.015327,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{7\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{8\,a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{8\,a^2\,d}-\frac{\frac{5\,\mathrm{tan}\left(c+d\,x\right)}{4\,a^2}-\frac{1{}\mathrm{i}}{a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"- (7*log(tan(c + d*x) - 1i))/(8*a^2*d) - log(tan(c + d*x) + 1i)/(8*a^2*d) - ((5*tan(c + d*x))/(4*a^2) - 1i/a^2)/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i))","B"
60,1,39,59,3.968846,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{x}{4\,a^2}-\frac{\frac{3\,\mathrm{tan}\left(c+d\,x\right)}{4}-\frac{1}{2}{}\mathrm{i}}{a^2\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"- x/(4*a^2) - ((3*tan(c + d*x))/4 - 1i/2)/(a^2*d*(tan(c + d*x)*1i + 1)^2)","B"
61,1,46,59,3.969331,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{x\,1{}\mathrm{i}}{4\,a^2}+\frac{\mathrm{tan}\left(c+d\,x\right)}{4\,a^2\,d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"tan(c + d*x)/(4*a^2*d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i)) - (x*1i)/(4*a^2)","B"
62,1,39,61,3.943858,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^2,x)","\frac{x}{4\,a^2}-\frac{\frac{\mathrm{tan}\left(c+d\,x\right)}{4}-\frac{1}{2}{}\mathrm{i}}{a^2\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"x/(4*a^2) - (tan(c + d*x)/4 - 1i/2)/(a^2*d*(tan(c + d*x)*1i + 1)^2)","B"
63,1,97,71,3.940880,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{8\,a^2\,d}-\frac{7\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{8\,a^2\,d}+\frac{\frac{3\,\mathrm{tan}\left(c+d\,x\right)}{4\,a^2}-\frac{1{}\mathrm{i}}{a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x))/(a^2*d) - log(tan(c + d*x) + 1i)/(8*a^2*d) - (7*log(tan(c + d*x) - 1i))/(8*a^2*d) + ((3*tan(c + d*x))/(4*a^2) - 1i/a^2)/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i))","B"
64,1,125,97,3.957809,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{\frac{7\,\mathrm{tan}\left(c+d\,x\right)}{2\,a^2}-\frac{1{}\mathrm{i}}{a^2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,9{}\mathrm{i}}{4\,a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}+2\,{\mathrm{tan}\left(c+d\,x\right)}^2-\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,17{}\mathrm{i}}{8\,a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,2{}\mathrm{i}}{a^2\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*17i)/(8*a^2*d) - ((7*tan(c + d*x))/(2*a^2) - 1i/a^2 + (tan(c + d*x)^2*9i)/(4*a^2))/(d*(2*tan(c + d*x)^2 - tan(c + d*x)*1i + tan(c + d*x)^3*1i)) - (log(tan(c + d*x) + 1i)*1i)/(8*a^2*d) - (log(tan(c + d*x))*2i)/(a^2*d)","B"
65,1,135,122,4.007084,"\text{Not used}","int(cot(c + d*x)^3/(a + a*tan(c + d*x)*1i)^2,x)","\frac{31\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{8\,a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{8\,a^2\,d}+\frac{\frac{\mathrm{tan}\left(c+d\,x\right)}{a^2}-\frac{15\,{\mathrm{tan}\left(c+d\,x\right)}^3}{4\,a^2}+\frac{1{}\mathrm{i}}{2\,a^2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,11{}\mathrm{i}}{2\,a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}+2\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}\right)}-\frac{4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^2\,d}","Not used",1,"(31*log(tan(c + d*x) - 1i))/(8*a^2*d) + log(tan(c + d*x) + 1i)/(8*a^2*d) + (tan(c + d*x)/a^2 + 1i/(2*a^2) + (tan(c + d*x)^2*11i)/(2*a^2) - (15*tan(c + d*x)^3)/(4*a^2))/(d*(2*tan(c + d*x)^3 - tan(c + d*x)^2*1i + tan(c + d*x)^4*1i)) - (4*log(tan(c + d*x)))/(a^2*d)","B"
66,1,140,161,3.949448,"\text{Not used}","int(tan(c + d*x)^6/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{87\,\mathrm{tan}\left(c+d\,x\right)}{8\,a^3}-\frac{59{}\mathrm{i}}{12\,a^3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,49{}\mathrm{i}}{8\,a^3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}+1\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,111{}\mathrm{i}}{16\,a^3\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^3\,d}-\frac{3\,\mathrm{tan}\left(c+d\,x\right)}{a^3\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a^3\,d}","Not used",1,"((87*tan(c + d*x))/(8*a^3) - 59i/(12*a^3) + (tan(c + d*x)^2*49i)/(8*a^3))/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) - (log(tan(c + d*x) - 1i)*111i)/(16*a^3*d) - (log(tan(c + d*x) + 1i)*1i)/(16*a^3*d) - (3*tan(c + d*x))/(a^3*d) + (tan(c + d*x)^2*1i)/(2*a^3*d)","B"
67,1,122,143,3.808547,"\text{Not used}","int(tan(c + d*x)^5/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\frac{35}{12\,a^3}-\frac{31\,{\mathrm{tan}\left(c+d\,x\right)}^2}{8\,a^3}+\frac{\mathrm{tan}\left(c+d\,x\right)\,53{}\mathrm{i}}{8\,a^3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}+1\right)}-\frac{49\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{16\,a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{16\,a^3\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{a^3\,d}","Not used",1,"log(tan(c + d*x) + 1i)/(16*a^3*d) - (49*log(tan(c + d*x) - 1i))/(16*a^3*d) - ((tan(c + d*x)*53i)/(8*a^3) + 35/(12*a^3) - (31*tan(c + d*x)^2)/(8*a^3))/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) + (tan(c + d*x)*1i)/(a^3*d)","B"
68,1,110,119,3.851339,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\frac{27\,\mathrm{tan}\left(c+d\,x\right)}{8\,a^3}-\frac{17{}\mathrm{i}}{12\,a^3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,17{}\mathrm{i}}{8\,a^3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}+1\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,15{}\mathrm{i}}{16\,a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^3\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*15i)/(16*a^3*d) - ((27*tan(c + d*x))/(8*a^3) - 17i/(12*a^3) + (tan(c + d*x)^2*17i)/(8*a^3))/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) + (log(tan(c + d*x) + 1i)*1i)/(16*a^3*d)","B"
69,1,49,92,3.769299,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^3,x)","\frac{x\,1{}\mathrm{i}}{8\,a^3}+\frac{-\frac{7\,{\mathrm{tan}\left(c+d\,x\right)}^2}{8}+\frac{\mathrm{tan}\left(c+d\,x\right)\,9{}\mathrm{i}}{8}+\frac{5}{12}}{a^3\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"(x*1i)/(8*a^3) + ((tan(c + d*x)*9i)/8 - (7*tan(c + d*x)^2)/8 + 5/12)/(a^3*d*(tan(c + d*x)*1i + 1)^3)","B"
70,1,49,88,3.756793,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{x}{8\,a^3}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{8}-\frac{\mathrm{tan}\left(c+d\,x\right)}{8}+\frac{1}{12}{}\mathrm{i}}{a^3\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"((tan(c + d*x)^2*1i)/8 - tan(c + d*x)/8 + 1i/12)/(a^3*d*(tan(c + d*x)*1i + 1)^3) - x/(8*a^3)","B"
71,1,49,84,3.774998,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{x\,1{}\mathrm{i}}{8\,a^3}+\frac{-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{8}+\frac{\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}}{8}+\frac{1}{12}}{a^3\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"((tan(c + d*x)*3i)/8 - tan(c + d*x)^2/8 + 1/12)/(a^3*d*(tan(c + d*x)*1i + 1)^3) - (x*1i)/(8*a^3)","B"
72,1,50,88,3.751983,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^3,x)","\frac{x}{8\,a^3}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{8}+\frac{3\,\mathrm{tan}\left(c+d\,x\right)}{8}-\frac{5}{12}{}\mathrm{i}}{a^3\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"x/(8*a^3) - ((3*tan(c + d*x))/8 + (tan(c + d*x)^2*1i)/8 - 5i/12)/(a^3*d*(tan(c + d*x)*1i + 1)^3)","B"
73,1,120,98,3.868079,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{17}{12\,a^3}-\frac{7\,{\mathrm{tan}\left(c+d\,x\right)}^2}{8\,a^3}+\frac{\mathrm{tan}\left(c+d\,x\right)\,17{}\mathrm{i}}{8\,a^3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}+1\right)}-\frac{15\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{16\,a^3\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{16\,a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^3\,d}","Not used",1,"((tan(c + d*x)*17i)/(8*a^3) + 17/(12*a^3) - (7*tan(c + d*x)^2)/(8*a^3))/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) - (15*log(tan(c + d*x) - 1i))/(16*a^3*d) - log(tan(c + d*x) + 1i)/(16*a^3*d) + log(tan(c + d*x))/(a^3*d)","B"
74,1,145,133,4.054384,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,49{}\mathrm{i}}{16\,a^3\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^3\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,3{}\mathrm{i}}{a^3\,d}+\frac{\frac{71\,\mathrm{tan}\left(c+d\,x\right)}{12\,a^3}-\frac{25\,{\mathrm{tan}\left(c+d\,x\right)}^3}{8\,a^3}-\frac{1{}\mathrm{i}}{a^3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,63{}\mathrm{i}}{8\,a^3}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4-{\mathrm{tan}\left(c+d\,x\right)}^3\,3{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*49i)/(16*a^3*d) - (log(tan(c + d*x) + 1i)*1i)/(16*a^3*d) - (log(tan(c + d*x))*3i)/(a^3*d) + ((71*tan(c + d*x))/(12*a^3) - 1i/a^3 + (tan(c + d*x)^2*63i)/(8*a^3) - (25*tan(c + d*x)^3)/(8*a^3))/(d*(tan(c + d*x)*1i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*3i + tan(c + d*x)^4))","B"
75,1,132,171,3.910867,"\text{Not used}","int(tan(c + d*x)^6/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{a^4\,d}-\frac{65\,x}{16\,a^4}+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,2{}\mathrm{i}}{a^4\,d}-\frac{\frac{749\,\mathrm{tan}\left(c+d\,x\right)}{48\,a^4}-\frac{111\,{\mathrm{tan}\left(c+d\,x\right)}^3}{16\,a^4}-\frac{14{}\mathrm{i}}{3\,a^4}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,71{}\mathrm{i}}{4\,a^4}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4-{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}+1\right)}","Not used",1,"tan(c + d*x)/(a^4*d) - (65*x)/(16*a^4) + (log(tan(c + d*x)^2 + 1)*2i)/(a^4*d) - ((749*tan(c + d*x))/(48*a^4) - 14i/(3*a^4) + (tan(c + d*x)^2*71i)/(4*a^4) - (111*tan(c + d*x)^3)/(16*a^4))/(d*(tan(c + d*x)*4i - 6*tan(c + d*x)^2 - tan(c + d*x)^3*4i + tan(c + d*x)^4 + 1))","B"
76,1,128,147,3.979879,"\text{Not used}","int(tan(c + d*x)^5/(a + a*tan(c + d*x)*1i)^4,x)","\frac{31\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{32\,a^4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{32\,a^4\,d}+\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,97{}\mathrm{i}}{16\,a^4}+\frac{7}{4\,a^4}-\frac{29\,{\mathrm{tan}\left(c+d\,x\right)}^2}{4\,a^4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,49{}\mathrm{i}}{16\,a^4}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4-{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}+1\right)}","Not used",1,"(31*log(tan(c + d*x) - 1i))/(32*a^4*d) + log(tan(c + d*x) + 1i)/(32*a^4*d) + ((tan(c + d*x)*97i)/(16*a^4) + 7/(4*a^4) - (29*tan(c + d*x)^2)/(4*a^4) - (tan(c + d*x)^3*49i)/(16*a^4))/(d*(tan(c + d*x)*4i - 6*tan(c + d*x)^2 - tan(c + d*x)^3*4i + tan(c + d*x)^4 + 1))","B"
77,1,59,128,3.937313,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^4,x)","\frac{x}{16\,a^4}+\frac{-\frac{15\,{\mathrm{tan}\left(c+d\,x\right)}^3}{16}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,7{}\mathrm{i}}{4}+\frac{61\,\mathrm{tan}\left(c+d\,x\right)}{48}-\frac{1}{3}{}\mathrm{i}}{a^4\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}","Not used",1,"x/(16*a^4) + ((61*tan(c + d*x))/48 + (tan(c + d*x)^2*7i)/4 - (15*tan(c + d*x)^3)/16 - 1i/3)/(a^4*d*(tan(c + d*x)*1i + 1)^4)","B"
78,1,60,126,3.897644,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^4,x)","\frac{x\,1{}\mathrm{i}}{16\,a^4}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{16}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{4}+\frac{\mathrm{tan}\left(c+d\,x\right)\,13{}\mathrm{i}}{48}+\frac{1}{12}}{a^4\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}","Not used",1,"(x*1i)/(16*a^4) + ((tan(c + d*x)*13i)/48 - tan(c + d*x)^2/4 + (tan(c + d*x)^3*1i)/16 + 1/12)/(a^4*d*(tan(c + d*x)*1i + 1)^4)","B"
79,1,92,116,3.898794,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^4,x)","-\frac{x}{16\,a^4}+\frac{\frac{\mathrm{tan}\left(c+d\,x\right)}{16\,a^4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{16\,a^4}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{4\,a^4}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4-{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}+1\right)}","Not used",1,"(tan(c + d*x)/(16*a^4) + (tan(c + d*x)^2*1i)/(4*a^4) - tan(c + d*x)^3/(16*a^4))/(d*(tan(c + d*x)*4i - 6*tan(c + d*x)^2 - tan(c + d*x)^3*4i + tan(c + d*x)^4 + 1)) - x/(16*a^4)","B"
80,1,60,110,3.896748,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^4,x)","-\frac{x\,1{}\mathrm{i}}{16\,a^4}+\frac{-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{16}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{4}+\frac{\mathrm{tan}\left(c+d\,x\right)\,19{}\mathrm{i}}{48}+\frac{1}{12}}{a^4\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}","Not used",1,"((tan(c + d*x)*19i)/48 - tan(c + d*x)^2/4 - (tan(c + d*x)^3*1i)/16 + 1/12)/(a^4*d*(tan(c + d*x)*1i + 1)^4) - (x*1i)/(16*a^4)","B"
81,1,60,116,3.894355,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^4,x)","\frac{x}{16\,a^4}-\frac{-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{16}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{4}+\frac{19\,\mathrm{tan}\left(c+d\,x\right)}{48}-\frac{1}{3}{}\mathrm{i}}{a^4\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}","Not used",1,"x/(16*a^4) - ((19*tan(c + d*x))/48 + (tan(c + d*x)^2*1i)/4 - tan(c + d*x)^3/16 - 1i/3)/(a^4*d*(tan(c + d*x)*1i + 1)^4)","B"
82,1,142,120,3.839259,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{32\,a^4\,d}-\frac{31\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{32\,a^4\,d}+\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,63{}\mathrm{i}}{16\,a^4}+\frac{7}{4\,a^4}-\frac{13\,{\mathrm{tan}\left(c+d\,x\right)}^2}{4\,a^4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,15{}\mathrm{i}}{16\,a^4}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4-{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}+1\right)}","Not used",1,"log(tan(c + d*x))/(a^4*d) - log(tan(c + d*x) + 1i)/(32*a^4*d) - (31*log(tan(c + d*x) - 1i))/(32*a^4*d) + ((tan(c + d*x)*63i)/(16*a^4) + 7/(4*a^4) - (13*tan(c + d*x)^2)/(4*a^4) - (tan(c + d*x)^3*15i)/(16*a^4))/(d*(tan(c + d*x)*4i - 6*tan(c + d*x)^2 - tan(c + d*x)^3*4i + tan(c + d*x)^4 + 1))","B"
83,1,165,159,4.163208,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,129{}\mathrm{i}}{32\,a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4\,d}-\frac{\frac{1}{a^4}-\frac{851\,{\mathrm{tan}\left(c+d\,x\right)}^2}{48\,a^4}+\frac{65\,{\mathrm{tan}\left(c+d\,x\right)}^4}{16\,a^4}+\frac{\mathrm{tan}\left(c+d\,x\right)\,26{}\mathrm{i}}{3\,a^4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,57{}\mathrm{i}}{4\,a^4}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^5-{\mathrm{tan}\left(c+d\,x\right)}^4\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(c+d\,x\right)}^3+{\mathrm{tan}\left(c+d\,x\right)}^2\,4{}\mathrm{i}+\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,4{}\mathrm{i}}{a^4\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*129i)/(32*a^4*d) - (log(tan(c + d*x) + 1i)*1i)/(32*a^4*d) - ((tan(c + d*x)*26i)/(3*a^4) + 1/a^4 - (851*tan(c + d*x)^2)/(48*a^4) - (tan(c + d*x)^3*57i)/(4*a^4) + (65*tan(c + d*x)^4)/(16*a^4))/(d*(tan(c + d*x) + tan(c + d*x)^2*4i - 6*tan(c + d*x)^3 - tan(c + d*x)^4*4i + tan(c + d*x)^5)) - (log(tan(c + d*x))*4i)/(a^4*d)","B"
84,1,109,168,0.337997,"\text{Not used}","int(tan(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,4{}\mathrm{i}}{3\,a\,d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,4{}\mathrm{i}}{5\,a^2\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}\,2{}\mathrm{i}}{7\,a^3\,d}-\frac{\sqrt{2}\,\sqrt{-a}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((a + a*tan(c + d*x)*1i)^(3/2)*4i)/(3*a*d) - ((a + a*tan(c + d*x)*1i)^(5/2)*4i)/(5*a^2*d) + ((a + a*tan(c + d*x)*1i)^(7/2)*2i)/(7*a^3*d) - (2^(1/2)*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d","B"
85,1,100,127,4.146759,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}+\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a\,d}-\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a^2\,d}-\frac{\sqrt{2}\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a*d) - (2*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2*(a + a*tan(c + d*x)*1i)^(5/2))/(5*a^2*d) - (2^(1/2)*a^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/d","B"
86,1,63,76,0.220669,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,a\,d}+\frac{\sqrt{2}\,\sqrt{-a}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2^(1/2)*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d - ((a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*a*d)","B"
87,1,54,67,4.036594,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{\sqrt{2}\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{d}","Not used",1,"(2*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2^(1/2)*a^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/d","B"
88,1,39,46,3.947997,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{\sqrt{2}\,\sqrt{-a}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"-(2^(1/2)*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d","B"
89,1,61,78,0.170773,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{2\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a}}\right)}{d}+\frac{\sqrt{2}\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{d}","Not used",1,"(2^(1/2)*a^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/d - (2*a^(1/2)*atanh((a + a*tan(c + d*x)*1i)^(1/2)/a^(1/2)))/d","B"
90,1,97,111,4.016340,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{\sqrt{-a}\,\mathrm{atan}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{-a}}\right)\,1{}\mathrm{i}}{d}-\frac{\mathrm{cot}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}+\frac{\sqrt{2}\,\sqrt{-a}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2^(1/2)*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d - (cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2))/d - ((-a)^(1/2)*atan((a + a*tan(c + d*x)*1i)^(1/2)/(-a)^(1/2))*1i)/d","B"
91,1,124,145,4.069841,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,7{}\mathrm{i}}{4\,d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\frac{\sqrt{2}\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2^(1/2)*a^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/d - (a^(1/2)*atan(((a + a*tan(c + d*x)*1i)^(1/2)*1i)/a^(1/2))*7i)/(4*d) - (a + a*tan(c + d*x)*1i)^(3/2)/(4*a*d*tan(c + d*x)^2) - (a + a*tan(c + d*x)*1i)^(1/2)/(4*d*tan(c + d*x)^2)","B"
92,1,120,199,4.231371,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}+\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a\,d}-\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{7\,a^2\,d}-\frac{2\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{\sqrt{2}\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(2*(a + a*tan(c + d*x)*1i)^(5/2))/(5*a*d) - (2*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) - (2*(a + a*tan(c + d*x)*1i)^(7/2))/(7*a^2*d) - (2*a*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2^(1/2)*a^(3/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*2i)/d","B"
93,1,84,101,0.300859,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,2{}\mathrm{i}}{5}-\sqrt{2}\,{\left(-a\right)}^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,2{}\mathrm{i}}{a\,d}-\frac{a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{d}","Not used",1,"- (((a + a*tan(c + d*x)*1i)^(5/2)*2i)/5 - 2^(1/2)*(-a)^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*2i)/(a*d) - (a*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/d","B"
94,1,74,92,4.059456,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}+\frac{2\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{2\,\sqrt{2}\,a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{d}","Not used",1,"(2*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) + (2*a*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2*2^(1/2)*a^(3/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/d","B"
95,1,61,72,0.184223,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{d}+\frac{\sqrt{2}\,{\left(-a\right)}^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(a*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/d + (2^(1/2)*(-a)^(3/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*2i)/d","B"
96,1,76,79,4.087194,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^2}\right)\,\sqrt{a^3}}{d}+\frac{2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,a^2}\right)\,\sqrt{a^3}}{d}","Not used",1,"(2*2^(1/2)*atanh((2^(1/2)*(a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^2))*(a^3)^(1/2))/d - (2*atanh(((a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/a^2)*(a^3)^(1/2))/d","B"
97,1,112,141,4.197142,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^2}\right)\,\sqrt{-a^3}\,3{}\mathrm{i}}{d}-\frac{a\,\mathrm{cot}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,a^2}\right)\,\sqrt{-a^3}\,2{}\mathrm{i}}{d}","Not used",1,"(atan(((-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/a^2)*(-a^3)^(1/2)*3i)/d - (a*cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2^(1/2)*atan((2^(1/2)*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^2))*(-a^3)^(1/2)*2i)/d","B"
98,1,136,184,4.072475,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\mathrm{atan}\left(\frac{\sqrt{a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{a^2}\right)\,\sqrt{a^3}\,11{}\mathrm{i}}{4\,d}-\frac{5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\frac{3\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,a^2}\right)\,\sqrt{a^3}\,2{}\mathrm{i}}{d}","Not used",1,"(3*a*(a + a*tan(c + d*x)*1i)^(1/2))/(4*d*tan(c + d*x)^2) - (5*(a + a*tan(c + d*x)*1i)^(3/2))/(4*d*tan(c + d*x)^2) - (atan(((a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/a^2)*(a^3)^(1/2)*11i)/(4*d) + (2^(1/2)*atan((2^(1/2)*(a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^2))*(a^3)^(1/2)*2i)/d","B"
99,1,142,204,4.294887,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,d}-\frac{4\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}+\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{7\,a\,d}-\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{9/2}}{9\,a^2\,d}-\frac{2\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}-\frac{\sqrt{2}\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,4{}\mathrm{i}}{d}","Not used",1,"(2*(a + a*tan(c + d*x)*1i)^(7/2))/(7*a*d) - (4*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2*(a + a*tan(c + d*x)*1i)^(5/2))/(5*d) - (2*(a + a*tan(c + d*x)*1i)^(9/2))/(9*a^2*d) - (2*a*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) - (2^(1/2)*a^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*4i)/d","B"
100,1,107,130,4.209080,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}\,2{}\mathrm{i}}{7\,a\,d}-\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}+\frac{\sqrt{2}\,{\left(-a\right)}^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,4{}\mathrm{i}}{d}","Not used",1,"(2^(1/2)*(-a)^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*4i)/d - ((a + a*tan(c + d*x)*1i)^(7/2)*2i)/(7*a*d) - (a*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*d) - (a^2*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/d","B"
101,1,98,119,0.321393,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,d}+\frac{4\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}+\frac{2\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}+\frac{\sqrt{2}\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,4{}\mathrm{i}}{d}","Not used",1,"(2*(a + a*tan(c + d*x)*1i)^(5/2))/(5*d) + (4*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/d + (2*a*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) + (2^(1/2)*a^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*4i)/d","B"
102,1,84,101,4.076443,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{d}+\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}-\frac{\sqrt{2}\,{\left(-a\right)}^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,4{}\mathrm{i}}{d}","Not used",1,"(a^2*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/d + (a*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*d) - (2^(1/2)*(-a)^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*4i)/d","B"
103,1,98,104,0.232380,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{2\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^3}\right)\,\sqrt{a^5}}{d}+\frac{4\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,a^3}\right)\,\sqrt{a^5}}{d}","Not used",1,"(4*2^(1/2)*atanh((2^(1/2)*(a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^3))*(a^5)^(1/2))/d - (2*atanh(((a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/a^3)*(a^5)^(1/2))/d - (2*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/d","B"
104,1,114,114,4.110018,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^3}\right)\,\sqrt{-a^5}\,5{}\mathrm{i}}{d}-\frac{a^2\,\mathrm{cot}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,a^3}\right)\,\sqrt{-a^5}\,4{}\mathrm{i}}{d}","Not used",1,"(atan(((-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/a^3)*(-a^5)^(1/2)*5i)/d - (a^2*cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2^(1/2)*atan((2^(1/2)*(-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^3))*(-a^5)^(1/2)*4i)/d","B"
105,1,139,151,4.004416,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{\mathrm{atan}\left(\frac{\sqrt{a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{a^3}\right)\,\sqrt{a^5}\,23{}\mathrm{i}}{4\,d}+\frac{7\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\frac{9\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,a^3}\right)\,\sqrt{a^5}\,4{}\mathrm{i}}{d}","Not used",1,"(7*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/(4*d*tan(c + d*x)^2) - (atan(((a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/a^3)*(a^5)^(1/2)*23i)/(4*d) - (9*a*(a + a*tan(c + d*x)*1i)^(3/2))/(4*d*tan(c + d*x)^2) + (2^(1/2)*atan((2^(1/2)*(a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^3))*(a^5)^(1/2)*4i)/d","B"
106,1,171,190,0.220136,"\text{Not used}","int(cot(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{19\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{8\,d\,{\mathrm{tan}\left(c+d\,x\right)}^3}-\frac{\mathrm{atan}\left(\frac{\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^3}\right)\,\sqrt{-a^5}\,45{}\mathrm{i}}{8\,d}-\frac{13\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{8\,d\,{\mathrm{tan}\left(c+d\,x\right)}^3}+\frac{11\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d\,{\mathrm{tan}\left(c+d\,x\right)}^3}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,a^3}\right)\,\sqrt{-a^5}\,4{}\mathrm{i}}{d}","Not used",1,"(11*a*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d*tan(c + d*x)^3) - (atan(((-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/a^3)*(-a^5)^(1/2)*45i)/(8*d) - (13*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/(8*d*tan(c + d*x)^3) - (19*(a + a*tan(c + d*x)*1i)^(5/2))/(8*d*tan(c + d*x)^3) + (2^(1/2)*atan((2^(1/2)*(-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^3))*(-a^5)^(1/2)*4i)/d","B"
107,1,107,130,4.142323,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(7/2),x)","\frac{a^3\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}}{d}+\frac{a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,4{}\mathrm{i}}{3\,d}+\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,2{}\mathrm{i}}{5\,d}+\frac{\sqrt{2}\,{\left(-a\right)}^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,8{}\mathrm{i}}{d}","Not used",1,"(a^3*(a + a*tan(c + d*x)*1i)^(1/2)*8i)/d + (a^2*(a + a*tan(c + d*x)*1i)^(3/2)*4i)/(3*d) + (a*(a + a*tan(c + d*x)*1i)^(5/2)*2i)/(5*d) + (2^(1/2)*(-a)^(7/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*8i)/d","B"
108,1,144,201,0.450317,"\text{Not used}","int(tan(c + d*x)^5/(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{1}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a\,d}+\frac{8\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^2\,d}-\frac{6\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a^3\,d}+\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{7\,a^4\,d}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,1{}\mathrm{i}}{2\,\sqrt{a}\,d}","Not used",1,"(8*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a^2*d) - (4*(a + a*tan(c + d*x)*1i)^(1/2))/(a*d) - 1/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (6*(a + a*tan(c + d*x)*1i)^(5/2))/(5*a^3*d) + (2*(a + a*tan(c + d*x)*1i)^(7/2))/(7*a^4*d) + (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/(2*a^(1/2)*d)","B"
109,1,129,172,4.181762,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{a\,d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,4{}\mathrm{i}}{3\,a^2\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,2{}\mathrm{i}}{5\,a^3\,d}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{2\,\sqrt{-a}\,d}","Not used",1,"1i/(d*(a + a*tan(c + d*x)*1i)^(1/2)) + ((a + a*tan(c + d*x)*1i)^(1/2)*4i)/(a*d) - ((a + a*tan(c + d*x)*1i)^(3/2)*4i)/(3*a^2*d) + ((a + a*tan(c + d*x)*1i)^(5/2)*2i)/(5*a^3*d) + (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d)","B"
110,1,99,126,4.167364,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{1}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a\,d}-\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^2\,d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,1{}\mathrm{i}}{2\,\sqrt{a}\,d}","Not used",1,"1/(d*(a + a*tan(c + d*x)*1i)^(1/2)) + (2*(a + a*tan(c + d*x)*1i)^(1/2))/(a*d) - (2*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a^2*d) - (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/(2*a^(1/2)*d)","B"
111,1,83,98,0.260839,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a\,d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{2\,\sqrt{-a}\,d}","Not used",1,"- 1i/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - ((a + a*tan(c + d*x)*1i)^(1/2)*2i)/(a*d) - (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d)","B"
112,1,54,67,4.087031,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{1}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{2\,\sqrt{a}\,d}","Not used",1,"- 1/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (2^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(2*a^(1/2)*d)","B"
113,1,60,71,0.227473,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{2\,\sqrt{-a}\,d}","Not used",1,"1i/(d*(a + a*tan(c + d*x)*1i)^(1/2)) + (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d)","B"
114,1,80,99,0.193035,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{1}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a}}\right)}{\sqrt{a}\,d}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{2\,\sqrt{a}\,d}","Not used",1,"1/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (2*atanh((a + a*tan(c + d*x)*1i)^(1/2)/a^(1/2)))/(a^(1/2)*d) + (2^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(2*a^(1/2)*d)","B"
115,1,134,141,4.086952,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}-\frac{a\,1{}\mathrm{i}}{d}}{a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\mathrm{atan}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{-a}}\right)\,1{}\mathrm{i}}{\sqrt{-a}\,d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{2\,\sqrt{-a}\,d}","Not used",1,"(((a + a*tan(c + d*x)*1i)*2i)/d - (a*1i)/d)/(a*(a + a*tan(c + d*x)*1i)^(1/2) - (a + a*tan(c + d*x)*1i)^(3/2)) - (atan((a + a*tan(c + d*x)*1i)^(1/2)/(-a)^(1/2))*1i)/((-a)^(1/2)*d) - (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d)","B"
116,1,155,180,4.115690,"\text{Not used}","int(cot(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{\frac{7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4}-\frac{13\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{4}+a^2}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-2\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}+a^2\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{11\,\mathrm{atanh}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a}}\right)}{4\,\sqrt{a}\,d}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{2\,\sqrt{a}\,d}","Not used",1,"(11*atanh((a + a*tan(c + d*x)*1i)^(1/2)/a^(1/2)))/(4*a^(1/2)*d) - ((7*(a + a*tan(c + d*x)*1i)^2)/4 - (13*a*(a + a*tan(c + d*x)*1i))/4 + a^2)/(d*(a + a*tan(c + d*x)*1i)^(5/2) - 2*a*d*(a + a*tan(c + d*x)*1i)^(3/2) + a^2*d*(a + a*tan(c + d*x)*1i)^(1/2)) - (2^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(2*a^(1/2)*d)","B"
117,1,138,205,4.203798,"\text{Not used}","int(tan(c + d*x)^5/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{8\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^2\,d}-\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{a^3\,d}+\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a^4\,d}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,1{}\mathrm{i}}{4\,a^{3/2}\,d}+\frac{\frac{25\,a}{6}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,9{}\mathrm{i}}{2}}{a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}","Not used",1,"(8*(a + a*tan(c + d*x)*1i)^(1/2))/(a^2*d) - (2*(a + a*tan(c + d*x)*1i)^(3/2))/(a^3*d) + (2*(a + a*tan(c + d*x)*1i)^(5/2))/(5*a^4*d) + (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/(4*a^(3/2)*d) + ((25*a)/6 + (a*tan(c + d*x)*9i)/2)/(a*d*(a + a*tan(c + d*x)*1i)^(3/2))","B"
118,1,129,174,0.276184,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\frac{1{}\mathrm{i}}{3\,d}-\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{2\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{a^2\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,a^3\,d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{3/2}\,d}","Not used",1,"(1i/(3*d) - ((a + a*tan(c + d*x)*1i)*7i)/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2) - ((a + a*tan(c + d*x)*1i)^(1/2)*4i)/(a^2*d) + ((a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*a^3*d) - (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(4*(-a)^(3/2)*d)","B"
119,1,93,133,0.202039,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^2\,d}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{4\,a^{3/2}\,d}-\frac{\frac{13\,a}{6}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}}{2}}{a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(4*a^(3/2)*d) - (2*(a + a*tan(c + d*x)*1i)^(1/2))/(a^2*d) - ((13*a)/6 + (a*tan(c + d*x)*5i)/2)/(a*d*(a + a*tan(c + d*x)*1i)^(3/2))","B"
120,1,84,104,4.045995,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{1{}\mathrm{i}}{3\,d}-\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{3/2}\,d}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(4*(-a)^(3/2)*d) - (1i/(3*d) - ((a + a*tan(c + d*x)*1i)*3i)/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2)","B"
121,1,72,98,3.984945,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,a}-\frac{1}{3}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{4\,a^{3/2}\,d}","Not used",1,"((a + a*tan(c + d*x)*1i)/(2*a) - 1/3)/(d*(a + a*tan(c + d*x)*1i)^(3/2)) - (2^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(4*a^(3/2)*d)","B"
122,1,83,104,3.993818,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\frac{1{}\mathrm{i}}{3\,d}+\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{3/2}\,d}","Not used",1,"(1i/(3*d) + ((a + a*tan(c + d*x)*1i)*1i)/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2) - (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(4*(-a)^(3/2)*d)","B"
123,1,109,132,4.052163,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a^3}}\right)}{d\,\sqrt{a^3}}+\frac{\frac{3\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2\,a}+\frac{1}{3}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a^3}}\right)}{4\,d\,\sqrt{a^3}}","Not used",1,"((3*(a + a*tan(c + d*x)*1i))/(2*a) + 1/3)/(d*(a + a*tan(c + d*x)*1i)^(3/2)) - (2*atanh((a*(a + a*tan(c + d*x)*1i)^(1/2))/(a^3)^(1/2)))/(d*(a^3)^(1/2)) + (2^(1/2)*atanh((2^(1/2)*a*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(a^3)^(1/2))))/(4*d*(a^3)^(1/2))","B"
124,1,178,181,4.019872,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,13{}\mathrm{i}}{6\,d}+\frac{a\,1{}\mathrm{i}}{3\,d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,7{}\mathrm{i}}{2\,a\,d}}{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{\mathrm{atan}\left(\frac{\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^2}\right)\,\sqrt{-a^3}\,3{}\mathrm{i}}{a^3\,d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,a^2}\right)\,\sqrt{-a^3}\,1{}\mathrm{i}}{4\,a^3\,d}","Not used",1,"- (((a + a*tan(c + d*x)*1i)*13i)/(6*d) + (a*1i)/(3*d) - ((a + a*tan(c + d*x)*1i)^2*7i)/(2*a*d))/(a*(a + a*tan(c + d*x)*1i)^(3/2) - (a + a*tan(c + d*x)*1i)^(5/2)) - (atan(((-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/a^2)*(-a^3)^(1/2)*3i)/(a^3*d) - (2^(1/2)*atan((2^(1/2)*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^2))*(-a^3)^(1/2)*1i)/(4*a^3*d)","B"
125,1,186,220,3.939749,"\text{Not used}","int(cot(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{a^2}{3}+\frac{21\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{4\,a}+\frac{17\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6}-\frac{107\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{12}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}-2\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}+a^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}+\frac{23\,\mathrm{atanh}\left(\frac{a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a^3}}\right)}{4\,d\,\sqrt{a^3}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a^3}}\right)}{4\,d\,\sqrt{a^3}}","Not used",1,"(23*atanh((a*(a + a*tan(c + d*x)*1i)^(1/2))/(a^3)^(1/2)))/(4*d*(a^3)^(1/2)) - ((21*(a + a*tan(c + d*x)*1i)^3)/(4*a) - (107*(a + a*tan(c + d*x)*1i)^2)/12 + (17*a*(a + a*tan(c + d*x)*1i))/6 + a^2/3)/(d*(a + a*tan(c + d*x)*1i)^(7/2) - 2*a*d*(a + a*tan(c + d*x)*1i)^(5/2) + a^2*d*(a + a*tan(c + d*x)*1i)^(3/2)) - (2^(1/2)*atanh((2^(1/2)*a*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(a^3)^(1/2))))/(4*d*(a^3)^(1/2))","B"
126,1,140,205,3.914790,"\text{Not used}","int(tan(c + d*x)^5/(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{6\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^3\,d}+\frac{2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^4\,d}-\frac{\frac{31\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4}-\frac{3\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2}+\frac{a^2}{5}}{a^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}}\right)\,1{}\mathrm{i}}{8\,a^{5/2}\,d}","Not used",1,"(2*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a^4*d) - (6*(a + a*tan(c + d*x)*1i)^(1/2))/(a^3*d) - ((31*(a + a*tan(c + d*x)*1i)^2)/4 - (3*a*(a + a*tan(c + d*x)*1i))/2 + a^2/5)/(a^2*d*(a + a*tan(c + d*x)*1i)^(5/2)) + (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/(8*a^(5/2)*d)","B"
127,1,129,176,0.250541,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{1{}\mathrm{i}}{5\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,17{}\mathrm{i}}{4\,a^2\,d}-\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{6\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a^3\,d}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{8\,{\left(-a\right)}^{5/2}\,d}","Not used",1,"(1i/(5*d) + ((a + a*tan(c + d*x)*1i)^2*17i)/(4*a^2*d) - ((a + a*tan(c + d*x)*1i)*7i)/(6*a*d))/(a + a*tan(c + d*x)*1i)^(5/2) + ((a + a*tan(c + d*x)*1i)^(1/2)*2i)/(a^3*d) + (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d)","B"
128,1,93,133,3.863695,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4}-\frac{5\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6}+\frac{a^2}{5}}{a^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{8\,a^{5/2}\,d}","Not used",1,"((7*(a + a*tan(c + d*x)*1i)^2)/4 - (5*a*(a + a*tan(c + d*x)*1i))/6 + a^2/5)/(a^2*d*(a + a*tan(c + d*x)*1i)^(5/2)) + (2^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(8*a^(5/2)*d)","B"
129,1,88,133,0.197046,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{1{}\mathrm{i}}{20\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{4\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{8\,{\left(-a\right)}^{5/2}\,d}","Not used",1,"1i/(20*d*(a + a*tan(c + d*x)*1i)^(5/2)) + (tan(c + d*x)^2*1i)/(4*d*(a + a*tan(c + d*x)*1i)^(5/2)) - (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d)","B"
130,1,91,125,0.203466,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{6\,a}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4\,a^2}-\frac{1}{5}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}}\right)}{8\,a^{5/2}\,d}","Not used",1,"((a + a*tan(c + d*x)*1i)/(6*a) + (a + a*tan(c + d*x)*1i)^2/(4*a^2) - 1/5)/(d*(a + a*tan(c + d*x)*1i)^(5/2)) - (2^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(8*a^(5/2)*d)","B"
131,1,106,133,3.806427,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{1{}\mathrm{i}}{5\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{4\,a^2\,d}+\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{6\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{8\,{\left(-a\right)}^{5/2}\,d}","Not used",1,"(1i/(5*d) + ((a + a*tan(c + d*x)*1i)^2*1i)/(4*a^2*d) + ((a + a*tan(c + d*x)*1i)*1i)/(6*a*d))/(a + a*tan(c + d*x)*1i)^(5/2) + (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d)","B"
132,1,132,159,0.248476,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a^5}}\right)}{d\,\sqrt{a^5}}+\frac{\frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,a}+\frac{7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4\,a^2}+\frac{1}{5}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a^5}}\right)}{8\,d\,\sqrt{a^5}}","Not used",1,"((a + a*tan(c + d*x)*1i)/(2*a) + (7*(a + a*tan(c + d*x)*1i)^2)/(4*a^2) + 1/5)/(d*(a + a*tan(c + d*x)*1i)^(5/2)) - (2*atanh((a^2*(a + a*tan(c + d*x)*1i)^(1/2))/(a^5)^(1/2)))/(d*(a^5)^(1/2)) + (2^(1/2)*atanh((2^(1/2)*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(a^5)^(1/2))))/(8*d*(a^5)^(1/2))","B"
133,1,201,214,4.056624,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,19{}\mathrm{i}}{30\,d}+\frac{a\,1{}\mathrm{i}}{5\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,41{}\mathrm{i}}{12\,a\,d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3\,21{}\mathrm{i}}{4\,a^2\,d}}{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}-\frac{\mathrm{atan}\left(\frac{\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^3}\right)\,\sqrt{-a^5}\,5{}\mathrm{i}}{a^5\,d}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,a^3}\right)\,\sqrt{-a^5}\,1{}\mathrm{i}}{8\,a^5\,d}","Not used",1,"- (((a + a*tan(c + d*x)*1i)*19i)/(30*d) + (a*1i)/(5*d) + ((a + a*tan(c + d*x)*1i)^2*41i)/(12*a*d) - ((a + a*tan(c + d*x)*1i)^3*21i)/(4*a^2*d))/(a*(a + a*tan(c + d*x)*1i)^(5/2) - (a + a*tan(c + d*x)*1i)^(7/2)) - (atan(((-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/a^3)*(-a^5)^(1/2)*5i)/(a^5*d) - (2^(1/2)*atan((2^(1/2)*(-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^3))*(-a^5)^(1/2)*1i)/(8*a^5*d)","B"
134,1,129,162,3.975280,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(7/2),x)","\frac{\frac{1{}\mathrm{i}}{7\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{12\,a^2\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{8\,a^3\,d}+\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{10\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}}\right)\,1{}\mathrm{i}}{16\,{\left(-a\right)}^{7/2}\,d}","Not used",1,"(1i/(7*d) + ((a + a*tan(c + d*x)*1i)^2*1i)/(12*a^2*d) + ((a + a*tan(c + d*x)*1i)^3*1i)/(8*a^3*d) + ((a + a*tan(c + d*x)*1i)*1i)/(10*a*d))/(a + a*tan(c + d*x)*1i)^(7/2) - (2^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(16*(-a)^(7/2)*d)","B"
135,1,114,107,4.933333,"\text{Not used}","int((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x)*1i),x)","\frac{2\,a\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}+\frac{a\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,2{}\mathrm{i}}{5\,f}-\frac{a\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{f}-\frac{{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"(a*(d*tan(e + f*x))^(5/2)*2i)/(5*f) + (2*a*d*(d*tan(e + f*x))^(3/2))/(3*f) - (a*d^2*(d*tan(e + f*x))^(1/2)*2i)/f - ((-1)^(1/4)*a*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2)*1i)/d^(1/2))*1i)/f + ((-1)^(1/4)*a*d^(5/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
136,1,65,82,4.602201,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x)*1i),x)","\frac{a\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}{3\,f}+\frac{2\,a\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(a*(d*tan(e + f*x))^(3/2)*2i)/(3*f) + (2*a*d*(d*tan(e + f*x))^(1/2))/f + ((-1)^(1/4)*a*d^(3/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/f","B"
137,1,128,61,4.257610,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x)*1i),x)","\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\left(\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)-\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\right)}{f}-\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}-\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}+\frac{a\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{f}","Not used",1,"(a*(d*tan(e + f*x))^(1/2)*2i)/f - ((-1)^(1/4)*a*d^(1/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f - ((-1)^(1/4)*a*d^(1/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f + ((-1)^(1/4)*a*d^(1/2)*(atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)) - atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))))/f","B"
138,1,30,40,4.290133,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(1/2),x)","-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{\sqrt{d}\,f}","Not used",1,"-((-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/(d^(1/2)*f)","B"
139,1,50,62,4.362686,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(3/2),x)","\frac{2\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}-\frac{2\,a}{d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}","Not used",1,"(2*(-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f) - (2*a)/(d*f*(d*tan(e + f*x))^(1/2))","B"
140,1,70,87,4.936878,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(5/2),x)","-\frac{a\,2{}\mathrm{i}}{d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{2\,a}{3\,d\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{d^{5/2}\,f}","Not used",1,"((-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/(d^(5/2)*f) - (2*a)/(3*d*f*(d*tan(e + f*x))^(3/2)) - (a*2i)/(d^2*f*(d*tan(e + f*x))^(1/2))","B"
141,1,87,110,5.284797,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(7/2),x)","-\frac{\frac{2\,a}{5\,d}-\frac{2\,a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{d}}{f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}-\frac{2\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{7/2}\,f}-\frac{a\,2{}\mathrm{i}}{3\,d^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"- ((2*a)/(5*d) - (2*a*tan(e + f*x)^2)/d)/(f*(d*tan(e + f*x))^(5/2)) - (a*2i)/(3*d^2*f*(d*tan(e + f*x))^(3/2)) - (2*(-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(7/2)*f)","B"
142,1,143,107,4.576973,"\text{Not used}","int((d*tan(e + f*x))^(5/2)*(a - a*tan(e + f*x)*1i),x)","\frac{2\,a\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}-\frac{2\,{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}-\frac{a\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,2{}\mathrm{i}}{5\,f}+\frac{a\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"(2*a*d*(d*tan(e + f*x))^(3/2))/(3*f) - (a*(d*tan(e + f*x))^(5/2)*2i)/(5*f) + (a*d^2*(d*tan(e + f*x))^(1/2)*2i)/f - (2*(-1)^(1/4)*a*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f + ((-1)^(1/4)*a*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2)*1i)/d^(1/2))*1i)/f + ((-1)^(1/4)*a*d^(5/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
143,1,65,82,4.257532,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(a - a*tan(e + f*x)*1i),x)","\frac{2\,a\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}-\frac{a\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}{3\,f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(2*a*d*(d*tan(e + f*x))^(1/2))/f - (a*(d*tan(e + f*x))^(3/2)*2i)/(3*f) + ((-1)^(1/4)*a*d^(3/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/f","B"
144,1,126,61,3.944053,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(a - a*tan(e + f*x)*1i),x)","\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\left(\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)-\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\right)}{f}-\frac{a\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{f}","Not used",1,"((-1)^(1/4)*a*d^(1/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f - (a*(d*tan(e + f*x))^(1/2)*2i)/f + ((-1)^(1/4)*a*d^(1/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f + ((-1)^(1/4)*a*d^(1/2)*(atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)) - atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))))/f","B"
145,1,30,40,4.217381,"\text{Not used}","int((a - a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(1/2),x)","-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{\sqrt{d}\,f}","Not used",1,"-((-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/(d^(1/2)*f)","B"
146,1,50,62,4.300758,"\text{Not used}","int((a - a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(3/2),x)","-\frac{2\,a}{d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{2\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"- (2*a)/(d*f*(d*tan(e + f*x))^(1/2)) - (2*(-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f)","B"
147,1,70,87,4.618079,"\text{Not used}","int((a - a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(5/2),x)","\frac{a\,2{}\mathrm{i}}{d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{2\,a}{3\,d\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{d^{5/2}\,f}","Not used",1,"(a*2i)/(d^2*f*(d*tan(e + f*x))^(1/2)) - (2*a)/(3*d*f*(d*tan(e + f*x))^(3/2)) + ((-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/(d^(5/2)*f)","B"
148,1,87,110,4.906225,"\text{Not used}","int((a - a*tan(e + f*x)*1i)/(d*tan(e + f*x))^(7/2),x)","\frac{2\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{7/2}\,f}-\frac{\frac{2\,a}{5\,d}-\frac{2\,a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{d}}{f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}+\frac{a\,2{}\mathrm{i}}{3\,d^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"(a*2i)/(3*d^2*f*(d*tan(e + f*x))^(3/2)) - ((2*a)/(5*d) - (2*a*tan(e + f*x)^2)/d)/(f*(d*tan(e + f*x))^(5/2)) + (2*(-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(7/2)*f)","B"
149,1,115,140,4.639737,"\text{Not used}","int((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x)*1i)^2,x)","\frac{a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,4{}\mathrm{i}}{5\,f}-\frac{a^2\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,4{}\mathrm{i}}{f}-\frac{2\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d\,f}+\frac{4\,a^2\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}-\frac{\sqrt{4{}\mathrm{i}}\,a^2\,d^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{2\,\sqrt{d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(a^2*(d*tan(e + f*x))^(5/2)*4i)/(5*f) - (a^2*d^2*(d*tan(e + f*x))^(1/2)*4i)/f - (2*a^2*(d*tan(e + f*x))^(7/2))/(7*d*f) + (4*a^2*d*(d*tan(e + f*x))^(3/2))/(3*f) - (4i^(1/2)*a^2*d^(5/2)*atan((4i^(1/2)*(d*tan(e + f*x))^(1/2)*1i)/(2*d^(1/2)))*2i)/f","B"
150,1,97,113,4.541606,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x)*1i)^2,x)","\frac{a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,4{}\mathrm{i}}{3\,f}-\frac{2\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d\,f}+\frac{4\,a^2\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}-\frac{\sqrt{4{}\mathrm{i}}\,a^2\,{\left(-d\right)}^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{-d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(a^2*(d*tan(e + f*x))^(3/2)*4i)/(3*f) - (2*a^2*(d*tan(e + f*x))^(5/2))/(5*d*f) + (4*a^2*d*(d*tan(e + f*x))^(1/2))/f - (4i^(1/2)*a^2*(-d)^(3/2)*atan((4i^(1/2)*(d*tan(e + f*x))^(1/2))/(2*(-d)^(1/2)))*2i)/f","B"
151,1,74,90,4.281287,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x)*1i)^2,x)","\frac{a^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,4{}\mathrm{i}}{f}-\frac{2\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,d\,f}-\frac{2\,\sqrt{4{}\mathrm{i}}\,a^2\,\sqrt{d}\,\mathrm{atanh}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)}{f}","Not used",1,"(a^2*(d*tan(e + f*x))^(1/2)*4i)/f - (2*a^2*(d*tan(e + f*x))^(3/2))/(3*d*f) - (2*4i^(1/2)*a^2*d^(1/2)*atanh((4i^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))))/f","B"
152,1,59,66,4.153390,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(d*tan(e + f*x))^(1/2),x)","-\frac{2\,a^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{d\,f}+\frac{\sqrt{4{}\mathrm{i}}\,a^2\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{-d}}\right)\,2{}\mathrm{i}}{\sqrt{-d}\,f}","Not used",1,"(4i^(1/2)*a^2*atan((4i^(1/2)*(d*tan(e + f*x))^(1/2))/(2*(-d)^(1/2)))*2i)/((-d)^(1/2)*f) - (2*a^2*(d*tan(e + f*x))^(1/2))/(d*f)","B"
153,1,55,66,4.292611,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(d*tan(e + f*x))^(3/2),x)","-\frac{2\,a^2}{d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}+\frac{2\,\sqrt{4{}\mathrm{i}}\,a^2\,\mathrm{atanh}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"(2*4i^(1/2)*a^2*atanh((4i^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))))/(d^(3/2)*f) - (2*a^2)/(d*f*(d*tan(e + f*x))^(1/2))","B"
154,1,80,93,4.375136,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(d*tan(e + f*x))^(5/2),x)","-\frac{\frac{2\,a^2}{3\,d\,f}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}}{d\,f}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}-\frac{\sqrt{4{}\mathrm{i}}\,a^2\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{-d}}\right)\,2{}\mathrm{i}}{{\left(-d\right)}^{5/2}\,f}","Not used",1,"- ((2*a^2)/(3*d*f) + (a^2*tan(e + f*x)*4i)/(d*f))/(d*tan(e + f*x))^(3/2) - (4i^(1/2)*a^2*atan((4i^(1/2)*(d*tan(e + f*x))^(1/2))/(2*(-d)^(1/2)))*2i)/((-d)^(5/2)*f)","B"
155,1,95,118,4.661885,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(d*tan(e + f*x))^(7/2),x)","-\frac{\frac{2\,a^2}{5\,d\,f}-\frac{4\,a^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{d\,f}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}}{3\,d\,f}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}-\frac{2\,\sqrt{4{}\mathrm{i}}\,a^2\,\mathrm{atanh}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)}{d^{7/2}\,f}","Not used",1,"- ((2*a^2)/(5*d*f) + (a^2*tan(e + f*x)*4i)/(3*d*f) - (4*a^2*tan(e + f*x)^2)/(d*f))/(d*tan(e + f*x))^(5/2) - (2*4i^(1/2)*a^2*atanh((4i^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))))/(d^(7/2)*f)","B"
156,1,137,179,4.974656,"\text{Not used}","int((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x)*1i)^3,x)","\frac{a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,8{}\mathrm{i}}{5\,f}-\frac{a^3\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,8{}\mathrm{i}}{f}-\frac{6\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d\,f}-\frac{a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{9/2}\,2{}\mathrm{i}}{9\,d^2\,f}+\frac{8\,a^3\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}-\frac{\sqrt{16{}\mathrm{i}}\,a^3\,d^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{4\,\sqrt{d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(a^3*(d*tan(e + f*x))^(5/2)*8i)/(5*f) - (a^3*d^2*(d*tan(e + f*x))^(1/2)*8i)/f - (6*a^3*(d*tan(e + f*x))^(7/2))/(7*d*f) - (a^3*(d*tan(e + f*x))^(9/2)*2i)/(9*d^2*f) + (8*a^3*d*(d*tan(e + f*x))^(3/2))/(3*f) - (16i^(1/2)*a^3*d^(5/2)*atan((16i^(1/2)*(d*tan(e + f*x))^(1/2)*1i)/(4*d^(1/2)))*2i)/f","B"
157,1,119,152,4.772220,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x)*1i)^3,x)","\frac{a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,8{}\mathrm{i}}{3\,f}-\frac{6\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d\,f}-\frac{a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}\,2{}\mathrm{i}}{7\,d^2\,f}+\frac{8\,a^3\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}-\frac{\sqrt{16{}\mathrm{i}}\,a^3\,{\left(-d\right)}^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,\sqrt{-d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(a^3*(d*tan(e + f*x))^(3/2)*8i)/(3*f) - (6*a^3*(d*tan(e + f*x))^(5/2))/(5*d*f) - (a^3*(d*tan(e + f*x))^(7/2)*2i)/(7*d^2*f) + (8*a^3*d*(d*tan(e + f*x))^(1/2))/f - (16i^(1/2)*a^3*(-d)^(3/2)*atan((16i^(1/2)*(d*tan(e + f*x))^(1/2))/(4*(-d)^(1/2)))*2i)/f","B"
158,1,96,129,4.440866,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x)*1i)^3,x)","\frac{a^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,8{}\mathrm{i}}{f}-\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{d\,f}-\frac{a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,2{}\mathrm{i}}{5\,d^2\,f}+\frac{\sqrt{16{}\mathrm{i}}\,a^3\,\sqrt{d}\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{4\,\sqrt{d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(a^3*(d*tan(e + f*x))^(1/2)*8i)/f - (2*a^3*(d*tan(e + f*x))^(3/2))/(d*f) - (a^3*(d*tan(e + f*x))^(5/2)*2i)/(5*d^2*f) + (16i^(1/2)*a^3*d^(1/2)*atan((16i^(1/2)*(d*tan(e + f*x))^(1/2)*1i)/(4*d^(1/2)))*2i)/f","B"
159,1,81,107,4.378418,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(d*tan(e + f*x))^(1/2),x)","-\frac{6\,a^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{d\,f}-\frac{a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}{3\,d^2\,f}+\frac{\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,\sqrt{-d}}\right)\,2{}\mathrm{i}}{\sqrt{-d}\,f}","Not used",1,"(16i^(1/2)*a^3*atan((16i^(1/2)*(d*tan(e + f*x))^(1/2))/(4*(-d)^(1/2)))*2i)/((-d)^(1/2)*f) - (a^3*(d*tan(e + f*x))^(3/2)*2i)/(3*d^2*f) - (6*a^3*(d*tan(e + f*x))^(1/2))/(d*f)","B"
160,1,77,80,4.329426,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(d*tan(e + f*x))^(3/2),x)","-\frac{2\,a^3}{d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{a^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{d^2\,f}+\frac{2\,\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atanh}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"(2*16i^(1/2)*a^3*atanh((16i^(1/2)*(d*tan(e + f*x))^(1/2))/(4*d^(1/2))))/(d^(3/2)*f) - (a^3*(d*tan(e + f*x))^(1/2)*2i)/(d^2*f) - (2*a^3)/(d*f*(d*tan(e + f*x))^(1/2))","B"
161,1,80,109,4.441855,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(d*tan(e + f*x))^(5/2),x)","-\frac{\frac{2\,a^3}{3\,d\,f}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,6{}\mathrm{i}}{d\,f}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}-\frac{\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,\sqrt{-d}}\right)\,2{}\mathrm{i}}{{\left(-d\right)}^{5/2}\,f}","Not used",1,"- ((2*a^3)/(3*d*f) + (a^3*tan(e + f*x)*6i)/(d*f))/(d*tan(e + f*x))^(3/2) - (16i^(1/2)*a^3*atan((16i^(1/2)*(d*tan(e + f*x))^(1/2))/(4*(-d)^(1/2)))*2i)/((-d)^(5/2)*f)","B"
162,1,95,132,4.657514,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(d*tan(e + f*x))^(7/2),x)","-\frac{\frac{2\,a^3}{5\,d\,f}-\frac{8\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{d\,f}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}}{d\,f}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}-\frac{2\,\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atanh}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,\sqrt{d}}\right)}{d^{7/2}\,f}","Not used",1,"- ((2*a^3)/(5*d*f) + (a^3*tan(e + f*x)*2i)/(d*f) - (8*a^3*tan(e + f*x)^2)/(d*f))/(d*tan(e + f*x))^(5/2) - (2*16i^(1/2)*a^3*atanh((16i^(1/2)*(d*tan(e + f*x))^(1/2))/(4*d^(1/2))))/(d^(7/2)*f)","B"
163,1,119,159,5.006656,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(d*tan(e + f*x))^(9/2),x)","-\frac{\frac{2\,a^3}{7\,d\,f}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,6{}\mathrm{i}}{5\,d\,f}-\frac{8\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{3\,d\,f}-\frac{a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3\,8{}\mathrm{i}}{d\,f}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}+\frac{\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,\sqrt{-d}}\right)\,2{}\mathrm{i}}{{\left(-d\right)}^{9/2}\,f}","Not used",1,"(16i^(1/2)*a^3*atan((16i^(1/2)*(d*tan(e + f*x))^(1/2))/(4*(-d)^(1/2)))*2i)/((-d)^(9/2)*f) - ((2*a^3)/(7*d*f) + (a^3*tan(e + f*x)*6i)/(5*d*f) - (8*a^3*tan(e + f*x)^2)/(3*d*f) - (a^3*tan(e + f*x)^3*8i)/(d*f))/(d*tan(e + f*x))^(7/2)","B"
164,1,180,312,6.213256,"\text{Not used}","int((d*tan(e + f*x))^(7/2)/(a + a*tan(e + f*x)*1i),x)","\mathrm{atan}\left(\frac{2\,a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^7\,9{}\mathrm{i}}{4\,a^2\,f^2}}}{3\,d^4}\right)\,\sqrt{\frac{d^7\,9{}\mathrm{i}}{4\,a^2\,f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{4\,a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^7\,1{}\mathrm{i}}{16\,a^2\,f^2}}}{d^4}\right)\,\sqrt{-\frac{d^7\,1{}\mathrm{i}}{16\,a^2\,f^2}}\,2{}\mathrm{i}+\frac{2\,d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{a\,f}-\frac{d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}{3\,a\,f}+\frac{d^4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)}","Not used",1,"atan((2*a*f*(d*tan(e + f*x))^(1/2)*((d^7*9i)/(4*a^2*f^2))^(1/2))/(3*d^4))*((d^7*9i)/(4*a^2*f^2))^(1/2)*2i + atan((4*a*f*(d*tan(e + f*x))^(1/2)*(-(d^7*1i)/(16*a^2*f^2))^(1/2))/d^4)*(-(d^7*1i)/(16*a^2*f^2))^(1/2)*2i + (2*d^3*(d*tan(e + f*x))^(1/2))/(a*f) - (d^2*(d*tan(e + f*x))^(3/2)*2i)/(3*a*f) + (d^4*(d*tan(e + f*x))^(1/2)*1i)/(2*a*f*(d*1i - d*tan(e + f*x)))","B"
165,1,160,287,6.164314,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i),x)","\mathrm{atan}\left(\frac{a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^5\,1{}\mathrm{i}}{a^2\,f^2}}\,1{}\mathrm{i}}{d^3}\right)\,\sqrt{-\frac{d^5\,1{}\mathrm{i}}{a^2\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^5\,1{}\mathrm{i}}{16\,a^2\,f^2}}\,4{}\mathrm{i}}{d^3}\right)\,\sqrt{\frac{d^5\,1{}\mathrm{i}}{16\,a^2\,f^2}}\,2{}\mathrm{i}-\frac{d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{a\,f}+\frac{d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)}","Not used",1,"atan((a*f*(d*tan(e + f*x))^(1/2)*(-(d^5*1i)/(a^2*f^2))^(1/2)*1i)/d^3)*(-(d^5*1i)/(a^2*f^2))^(1/2)*2i - atan((a*f*(d*tan(e + f*x))^(1/2)*((d^5*1i)/(16*a^2*f^2))^(1/2)*4i)/d^3)*((d^5*1i)/(16*a^2*f^2))^(1/2)*2i - (d^2*(d*tan(e + f*x))^(1/2)*2i)/(a*f) + (d^3*(d*tan(e + f*x))^(1/2))/(2*a*f*(d*1i - d*tan(e + f*x)))","B"
166,1,137,260,5.885286,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i),x)","-\mathrm{atan}\left(\frac{2\,a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^3\,1{}\mathrm{i}}{4\,a^2\,f^2}}}{d^2}\right)\,\sqrt{\frac{d^3\,1{}\mathrm{i}}{4\,a^2\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{4\,a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^3\,1{}\mathrm{i}}{16\,a^2\,f^2}}}{d^2}\right)\,\sqrt{-\frac{d^3\,1{}\mathrm{i}}{16\,a^2\,f^2}}\,2{}\mathrm{i}-\frac{d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)}","Not used",1,"- atan((2*a*f*(d*tan(e + f*x))^(1/2)*((d^3*1i)/(4*a^2*f^2))^(1/2))/d^2)*((d^3*1i)/(4*a^2*f^2))^(1/2)*2i - atan((4*a*f*(d*tan(e + f*x))^(1/2)*(-(d^3*1i)/(16*a^2*f^2))^(1/2))/d^2)*(-(d^3*1i)/(16*a^2*f^2))^(1/2)*2i - (d^2*(d*tan(e + f*x))^(1/2)*1i)/(2*a*f*(d*1i - d*tan(e + f*x)))","B"
167,1,71,81,4.229802,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i),x)","-\frac{2\,\sqrt{\frac{1}{16}{}\mathrm{i}}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{4\,\sqrt{\frac{1}{16}{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{a\,f}-\frac{d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)}","Not used",1,"- (2*(1i/16)^(1/2)*d^(1/2)*atanh((4*(1i/16)^(1/2)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(a*f) - (d*(d*tan(e + f*x))^(1/2))/(2*a*f*(d*1i - d*tan(e + f*x)))","B"
168,1,128,262,5.922639,"\text{Not used}","int(1/((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x)*1i)),x)","-\mathrm{atan}\left(2\,a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,a^2\,d\,f^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,a^2\,d\,f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(4\,a\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{16\,a^2\,d\,f^2}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{16\,a^2\,d\,f^2}}\,2{}\mathrm{i}+\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)}","Not used",1,"atan(4*a*f*(d*tan(e + f*x))^(1/2)*(-1i/(16*a^2*d*f^2))^(1/2))*(-1i/(16*a^2*d*f^2))^(1/2)*2i - atan(2*a*f*(d*tan(e + f*x))^(1/2)*(1i/(4*a^2*d*f^2))^(1/2))*(1i/(4*a^2*d*f^2))^(1/2)*2i + ((d*tan(e + f*x))^(1/2)*1i)/(2*a*f*(d*1i - d*tan(e + f*x)))","B"
169,1,147,287,6.057932,"\text{Not used}","int(1/((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x)*1i)),x)","-\frac{-\frac{5\,\mathrm{tan}\left(e+f\,x\right)}{2\,a\,f}+\frac{2{}\mathrm{i}}{a\,f}}{-{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}+d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}+2\,\mathrm{atanh}\left(a\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{a^2\,d^3\,f^2}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{a^2\,d^3\,f^2}}+2\,\mathrm{atanh}\left(4\,a\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{16\,a^2\,d^3\,f^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{16\,a^2\,d^3\,f^2}}","Not used",1,"2*atanh(a*d*f*(d*tan(e + f*x))^(1/2)*(-1i/(a^2*d^3*f^2))^(1/2))*(-1i/(a^2*d^3*f^2))^(1/2) - (2i/(a*f) - (5*tan(e + f*x))/(2*a*f))/(d*(d*tan(e + f*x))^(1/2)*1i - (d*tan(e + f*x))^(3/2)) + 2*atanh(4*a*d*f*(d*tan(e + f*x))^(1/2)*(1i/(16*a^2*d^3*f^2))^(1/2))*(1i/(16*a^2*d^3*f^2))^(1/2)","B"
170,1,171,314,6.661166,"\text{Not used}","int(1/((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x)*1i)),x)","\mathrm{atan}\left(\frac{2\,a\,d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{9{}\mathrm{i}}{4\,a^2\,d^5\,f^2}}}{3}\right)\,\sqrt{\frac{9{}\mathrm{i}}{4\,a^2\,d^5\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(4\,a\,d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{16\,a^2\,d^5\,f^2}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{16\,a^2\,d^5\,f^2}}\,2{}\mathrm{i}-\frac{\frac{2{}\mathrm{i}}{3\,a\,f}+\frac{4\,\mathrm{tan}\left(e+f\,x\right)}{3\,a\,f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,5{}\mathrm{i}}{2\,a\,f}}{-{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}+d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,1{}\mathrm{i}}","Not used",1,"atan((2*a*d^2*f*(d*tan(e + f*x))^(1/2)*(9i/(4*a^2*d^5*f^2))^(1/2))/3)*(9i/(4*a^2*d^5*f^2))^(1/2)*2i - atan(4*a*d^2*f*(d*tan(e + f*x))^(1/2)*(-1i/(16*a^2*d^5*f^2))^(1/2))*(-1i/(16*a^2*d^5*f^2))^(1/2)*2i - (2i/(3*a*f) + (4*tan(e + f*x))/(3*a*f) + (tan(e + f*x)^2*5i)/(2*a*f))/(d*(d*tan(e + f*x))^(3/2)*1i - (d*tan(e + f*x))^(5/2))","B"
171,1,225,353,5.637107,"\text{Not used}","int((d*tan(e + f*x))^(9/2)/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{-\frac{15\,d^5\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8\,a^2\,f}+\frac{d^6\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,13{}\mathrm{i}}{8\,a^2\,f}}{-d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+d^2\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+d^2}-\frac{2\,d^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,a^2\,f}+\mathrm{atan}\left(\frac{a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^9\,1{}\mathrm{i}}{64\,a^4\,f^2}}\,8{}\mathrm{i}}{d^5}\right)\,\sqrt{\frac{d^9\,1{}\mathrm{i}}{64\,a^4\,f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^9\,2209{}\mathrm{i}}{256\,a^4\,f^2}}\,16{}\mathrm{i}}{47\,d^5}\right)\,\sqrt{-\frac{d^9\,2209{}\mathrm{i}}{256\,a^4\,f^2}}\,2{}\mathrm{i}-\frac{d^4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,4{}\mathrm{i}}{a^2\,f}","Not used",1,"atan((a^2*f*(d*tan(e + f*x))^(1/2)*((d^9*1i)/(64*a^4*f^2))^(1/2)*8i)/d^5)*((d^9*1i)/(64*a^4*f^2))^(1/2)*2i - ((d^6*(d*tan(e + f*x))^(1/2)*13i)/(8*a^2*f) - (15*d^5*(d*tan(e + f*x))^(3/2))/(8*a^2*f))/(d^2*tan(e + f*x)*2i + d^2 - d^2*tan(e + f*x)^2) + atan((a^2*f*(d*tan(e + f*x))^(1/2)*(-(d^9*2209i)/(256*a^4*f^2))^(1/2)*16i)/(47*d^5))*(-(d^9*2209i)/(256*a^4*f^2))^(1/2)*2i - (d^4*(d*tan(e + f*x))^(1/2)*4i)/(a^2*f) - (2*d^3*(d*tan(e + f*x))^(3/2))/(3*a^2*f)","B"
172,1,201,326,5.564626,"\text{Not used}","int((d*tan(e + f*x))^(7/2)/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{\frac{9\,d^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8\,a^2\,f}+\frac{d^4\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,11{}\mathrm{i}}{8\,a^2\,f}}{-d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+d^2\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+d^2}-\frac{2\,d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{a^2\,f}+\mathrm{atan}\left(\frac{8\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^7\,1{}\mathrm{i}}{64\,a^4\,f^2}}}{d^4}\right)\,\sqrt{-\frac{d^7\,1{}\mathrm{i}}{64\,a^4\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^7\,529{}\mathrm{i}}{256\,a^4\,f^2}}}{23\,d^4}\right)\,\sqrt{\frac{d^7\,529{}\mathrm{i}}{256\,a^4\,f^2}}\,2{}\mathrm{i}","Not used",1,"atan((8*a^2*f*(d*tan(e + f*x))^(1/2)*(-(d^7*1i)/(64*a^4*f^2))^(1/2))/d^4)*(-(d^7*1i)/(64*a^4*f^2))^(1/2)*2i - ((9*d^5*(d*tan(e + f*x))^(1/2))/(8*a^2*f) + (d^4*(d*tan(e + f*x))^(3/2)*11i)/(8*a^2*f))/(d^2*tan(e + f*x)*2i + d^2 - d^2*tan(e + f*x)^2) - atan((16*a^2*f*(d*tan(e + f*x))^(1/2)*((d^7*529i)/(256*a^4*f^2))^(1/2))/(23*d^4))*((d^7*529i)/(256*a^4*f^2))^(1/2)*2i - (2*d^3*(d*tan(e + f*x))^(1/2))/(a^2*f)","B"
173,1,177,301,5.667751,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^2,x)","\frac{-\frac{7\,d^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8\,a^2\,f}+\frac{d^4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,5{}\mathrm{i}}{8\,a^2\,f}}{-d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+d^2\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+d^2}+2\,\mathrm{atanh}\left(\frac{8\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^5\,1{}\mathrm{i}}{64\,a^4\,f^2}}}{d^3}\right)\,\sqrt{\frac{d^5\,1{}\mathrm{i}}{64\,a^4\,f^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^5\,49{}\mathrm{i}}{256\,a^4\,f^2}}}{7\,d^3}\right)\,\sqrt{-\frac{d^5\,49{}\mathrm{i}}{256\,a^4\,f^2}}","Not used",1,"((d^4*(d*tan(e + f*x))^(1/2)*5i)/(8*a^2*f) - (7*d^3*(d*tan(e + f*x))^(3/2))/(8*a^2*f))/(d^2*tan(e + f*x)*2i + d^2 - d^2*tan(e + f*x)^2) + 2*atanh((8*a^2*f*(d*tan(e + f*x))^(1/2)*((d^5*1i)/(64*a^4*f^2))^(1/2))/d^3)*((d^5*1i)/(64*a^4*f^2))^(1/2) + 2*atanh((16*a^2*f*(d*tan(e + f*x))^(1/2)*(-(d^5*49i)/(256*a^4*f^2))^(1/2))/(7*d^3))*(-(d^5*49i)/(256*a^4*f^2))^(1/2)","B"
174,1,179,297,5.550215,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\frac{d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8\,a^2\,f}+\frac{d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,3{}\mathrm{i}}{8\,a^2\,f}}{-d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+d^2\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+d^2}-\mathrm{atan}\left(\frac{8\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^3\,1{}\mathrm{i}}{64\,a^4\,f^2}}}{d^2}\right)\,\sqrt{-\frac{d^3\,1{}\mathrm{i}}{64\,a^4\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^3\,1{}\mathrm{i}}{256\,a^4\,f^2}}}{d^2}\right)\,\sqrt{\frac{d^3\,1{}\mathrm{i}}{256\,a^4\,f^2}}\,2{}\mathrm{i}","Not used",1,"((d^3*(d*tan(e + f*x))^(1/2))/(8*a^2*f) + (d^2*(d*tan(e + f*x))^(3/2)*3i)/(8*a^2*f))/(d^2*tan(e + f*x)*2i + d^2 - d^2*tan(e + f*x)^2) - atan((8*a^2*f*(d*tan(e + f*x))^(1/2)*(-(d^3*1i)/(64*a^4*f^2))^(1/2))/d^2)*(-(d^3*1i)/(64*a^4*f^2))^(1/2)*2i - atan((16*a^2*f*(d*tan(e + f*x))^(1/2)*((d^3*1i)/(256*a^4*f^2))^(1/2))/d^2)*((d^3*1i)/(256*a^4*f^2))^(1/2)*2i","B"
175,1,147,299,5.203858,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^2,x)","\frac{-\frac{d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8\,a^2\,f}+\frac{d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,3{}\mathrm{i}}{8\,a^2\,f}}{-d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+d^2\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+d^2}+\frac{\mathrm{atanh}\left(\frac{2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d\,1{}\mathrm{i}}{4}}}{d}\right)\,\sqrt{-\frac{d\,1{}\mathrm{i}}{4}}}{4\,a^2\,f}-\frac{\mathrm{atanh}\left(\frac{4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d\,1{}\mathrm{i}}{16}}}{d}\right)\,\sqrt{\frac{d\,1{}\mathrm{i}}{16}}}{a^2\,f}","Not used",1,"((d^2*(d*tan(e + f*x))^(1/2)*3i)/(8*a^2*f) - (d*(d*tan(e + f*x))^(3/2))/(8*a^2*f))/(d^2*tan(e + f*x)*2i + d^2 - d^2*tan(e + f*x)^2) + (atanh((2*(d*tan(e + f*x))^(1/2)*(-(d*1i)/4)^(1/2))/d)*(-(d*1i)/4)^(1/2))/(4*a^2*f) - (atanh((4*(d*tan(e + f*x))^(1/2)*((d*1i)/16)^(1/2))/d)*((d*1i)/16)^(1/2))/(a^2*f)","B"
176,1,168,301,5.477799,"\text{Not used}","int(1/((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x)*1i)^2),x)","\frac{\frac{7\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8\,a^2\,f}+\frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,5{}\mathrm{i}}{8\,a^2\,f}}{-d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+d^2\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+d^2}+\mathrm{atan}\left(8\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{64\,a^4\,d\,f^2}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{64\,a^4\,d\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{49{}\mathrm{i}}{256\,a^4\,d\,f^2}}}{7}\right)\,\sqrt{\frac{49{}\mathrm{i}}{256\,a^4\,d\,f^2}}\,2{}\mathrm{i}","Not used",1,"(((d*tan(e + f*x))^(3/2)*5i)/(8*a^2*f) + (7*d*(d*tan(e + f*x))^(1/2))/(8*a^2*f))/(d^2*tan(e + f*x)*2i + d^2 - d^2*tan(e + f*x)^2) + atan(8*a^2*f*(d*tan(e + f*x))^(1/2)*(-1i/(64*a^4*d*f^2))^(1/2))*(-1i/(64*a^4*d*f^2))^(1/2)*2i - atan((16*a^2*f*(d*tan(e + f*x))^(1/2)*(49i/(256*a^4*d*f^2))^(1/2))/7)*(49i/(256*a^4*d*f^2))^(1/2)*2i","B"
177,1,185,326,5.963124,"\text{Not used}","int(1/((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x)*1i)^2),x)","2\,\mathrm{atanh}\left(8\,a^2\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{64\,a^4\,d^3\,f^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{64\,a^4\,d^3\,f^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{529{}\mathrm{i}}{256\,a^4\,d^3\,f^2}}}{23}\right)\,\sqrt{-\frac{529{}\mathrm{i}}{256\,a^4\,d^3\,f^2}}-\frac{\frac{2\,d}{a^2\,f}-\frac{25\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8\,a^2\,f}+\frac{d\,\mathrm{tan}\left(e+f\,x\right)\,43{}\mathrm{i}}{8\,a^2\,f}}{d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}-{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}+d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}","Not used",1,"2*atanh(8*a^2*d*f*(d*tan(e + f*x))^(1/2)*(1i/(64*a^4*d^3*f^2))^(1/2))*(1i/(64*a^4*d^3*f^2))^(1/2) + 2*atanh((16*a^2*d*f*(d*tan(e + f*x))^(1/2)*(-529i/(256*a^4*d^3*f^2))^(1/2))/23)*(-529i/(256*a^4*d^3*f^2))^(1/2) - ((2*d)/(a^2*f) - (25*d*tan(e + f*x)^2)/(8*a^2*f) + (d*tan(e + f*x)*43i)/(8*a^2*f))/(d*(d*tan(e + f*x))^(3/2)*2i - (d*tan(e + f*x))^(5/2) + d^2*(d*tan(e + f*x))^(1/2))","B"
178,1,209,353,6.279982,"\text{Not used}","int(1/((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x)*1i)^2),x)","-\mathrm{atan}\left(8\,a^2\,d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{64\,a^4\,d^5\,f^2}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{64\,a^4\,d^5\,f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{16\,a^2\,d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{2209{}\mathrm{i}}{256\,a^4\,d^5\,f^2}}}{47}\right)\,\sqrt{\frac{2209{}\mathrm{i}}{256\,a^4\,d^5\,f^2}}\,2{}\mathrm{i}-\frac{\frac{2\,d}{3\,a^2\,f}+\frac{221\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2}{24\,a^2\,f}+\frac{d\,{\mathrm{tan}\left(e+f\,x\right)}^3\,45{}\mathrm{i}}{8\,a^2\,f}-\frac{d\,\mathrm{tan}\left(e+f\,x\right)\,8{}\mathrm{i}}{3\,a^2\,f}}{d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}+d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,2{}\mathrm{i}}","Not used",1,"atan((16*a^2*d^2*f*(d*tan(e + f*x))^(1/2)*(2209i/(256*a^4*d^5*f^2))^(1/2))/47)*(2209i/(256*a^4*d^5*f^2))^(1/2)*2i - atan(8*a^2*d^2*f*(d*tan(e + f*x))^(1/2)*(-1i/(64*a^4*d^5*f^2))^(1/2))*(-1i/(64*a^4*d^5*f^2))^(1/2)*2i - ((2*d)/(3*a^2*f) + (221*d*tan(e + f*x)^2)/(24*a^2*f) + (d*tan(e + f*x)^3*45i)/(8*a^2*f) - (d*tan(e + f*x)*8i)/(3*a^2*f))/(d*(d*tan(e + f*x))^(5/2)*2i - (d*tan(e + f*x))^(7/2) + d^2*(d*tan(e + f*x))^(3/2))","B"
179,1,240,370,5.484564,"\text{Not used}","int((d*tan(e + f*x))^(9/2)/(a + a*tan(e + f*x)*1i)^3,x)","\mathrm{atan}\left(\frac{a^3\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^9\,1{}\mathrm{i}}{256\,a^6\,f^2}}\,16{}\mathrm{i}}{d^5}\right)\,\sqrt{\frac{d^9\,1{}\mathrm{i}}{256\,a^6\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a^3\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^9\,841{}\mathrm{i}}{256\,a^6\,f^2}}\,16{}\mathrm{i}}{29\,d^5}\right)\,\sqrt{-\frac{d^9\,841{}\mathrm{i}}{256\,a^6\,f^2}}\,2{}\mathrm{i}+\frac{\frac{7\,d^7\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,a^3\,f}-\frac{5\,d^5\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{2\,a^3\,f}+\frac{d^6\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,49{}\mathrm{i}}{12\,a^3\,f}}{-d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3+d^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,d^3\,\mathrm{tan}\left(e+f\,x\right)-d^3\,1{}\mathrm{i}}+\frac{d^4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{a^3\,f}","Not used",1,"atan((a^3*f*(d*tan(e + f*x))^(1/2)*((d^9*1i)/(256*a^6*f^2))^(1/2)*16i)/d^5)*((d^9*1i)/(256*a^6*f^2))^(1/2)*2i - atan((a^3*f*(d*tan(e + f*x))^(1/2)*(-(d^9*841i)/(256*a^6*f^2))^(1/2)*16i)/(29*d^5))*(-(d^9*841i)/(256*a^6*f^2))^(1/2)*2i + ((7*d^7*(d*tan(e + f*x))^(1/2))/(4*a^3*f) + (d^6*(d*tan(e + f*x))^(3/2)*49i)/(12*a^3*f) - (5*d^5*(d*tan(e + f*x))^(5/2))/(2*a^3*f))/(3*d^3*tan(e + f*x) - d^3*1i + d^3*tan(e + f*x)^2*3i - d^3*tan(e + f*x)^3) + (d^4*(d*tan(e + f*x))^(1/2)*2i)/(a^3*f)","B"
180,1,217,343,5.778129,"\text{Not used}","int((d*tan(e + f*x))^(7/2)/(a + a*tan(e + f*x)*1i)^3,x)","\mathrm{atan}\left(\frac{8\,a^3\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d^7\,9{}\mathrm{i}}{64\,a^6\,f^2}}}{3\,d^4}\right)\,\sqrt{\frac{d^7\,9{}\mathrm{i}}{64\,a^6\,f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{16\,a^3\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d^7\,1{}\mathrm{i}}{256\,a^6\,f^2}}}{d^4}\right)\,\sqrt{-\frac{d^7\,1{}\mathrm{i}}{256\,a^6\,f^2}}\,2{}\mathrm{i}+\frac{\frac{19\,d^5\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{12\,a^3\,f}-\frac{d^6\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,5{}\mathrm{i}}{8\,a^3\,f}+\frac{d^4\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,9{}\mathrm{i}}{8\,a^3\,f}}{-d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3+d^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,d^3\,\mathrm{tan}\left(e+f\,x\right)-d^3\,1{}\mathrm{i}}","Not used",1,"atan((8*a^3*f*(d*tan(e + f*x))^(1/2)*((d^7*9i)/(64*a^6*f^2))^(1/2))/(3*d^4))*((d^7*9i)/(64*a^6*f^2))^(1/2)*2i + atan((16*a^3*f*(d*tan(e + f*x))^(1/2)*(-(d^7*1i)/(256*a^6*f^2))^(1/2))/d^4)*(-(d^7*1i)/(256*a^6*f^2))^(1/2)*2i + ((19*d^5*(d*tan(e + f*x))^(3/2))/(12*a^3*f) - (d^6*(d*tan(e + f*x))^(1/2)*5i)/(8*a^3*f) + (d^4*(d*tan(e + f*x))^(5/2)*9i)/(8*a^3*f))/(3*d^3*tan(e + f*x) - d^3*1i + d^3*tan(e + f*x)^2*3i - d^3*tan(e + f*x)^3)","B"
181,1,158,329,4.162014,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{{\left(-1\right)}^{1/4}\,d^{5/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}-\frac{{\left(-1\right)}^{1/4}\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}-\frac{-\frac{d^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{4\,a^3\,f}+\frac{d^4\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,1{}\mathrm{i}}{12\,a^3\,f}}{-d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3+d^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,d^3\,\mathrm{tan}\left(e+f\,x\right)-d^3\,1{}\mathrm{i}}","Not used",1,"((-1)^(1/4)*d^(5/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(8*a^3*f) - ((-1)^(1/4)*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(8*a^3*f) - ((d^4*(d*tan(e + f*x))^(3/2)*1i)/(12*a^3*f) - (d^3*(d*tan(e + f*x))^(5/2))/(4*a^3*f))/(3*d^3*tan(e + f*x) - d^3*1i + d^3*tan(e + f*x)^2*3i - d^3*tan(e + f*x)^3)","B"
182,1,155,157,4.216773,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{5\,d^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{12\,a^3\,f}-\frac{d^4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{8\,a^3\,f}+\frac{d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,1{}\mathrm{i}}{8\,a^3\,f}}{-d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3+d^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,d^3\,\mathrm{tan}\left(e+f\,x\right)-d^3\,1{}\mathrm{i}}-\frac{\sqrt{\frac{1}{256}{}\mathrm{i}}\,{\left(-d\right)}^{3/2}\,\mathrm{atan}\left(\frac{16\,\sqrt{\frac{1}{256}{}\mathrm{i}}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{-d}}\right)\,2{}\mathrm{i}}{a^3\,f}","Not used",1,"((5*d^3*(d*tan(e + f*x))^(3/2))/(12*a^3*f) - (d^4*(d*tan(e + f*x))^(1/2)*1i)/(8*a^3*f) + (d^2*(d*tan(e + f*x))^(5/2)*1i)/(8*a^3*f))/(3*d^3*tan(e + f*x) - d^3*1i + d^3*tan(e + f*x)^2*3i - d^3*tan(e + f*x)^3) - ((1i/256)^(1/2)*(-d)^(3/2)*atan((16*(1i/256)^(1/2)*(d*tan(e + f*x))^(1/2))/(-d)^(1/2))*2i)/(a^3*f)","B"
183,1,157,292,4.180024,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{4\,a^3\,f}+\frac{d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,1{}\mathrm{i}}{12\,a^3\,f}}{-d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3+d^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,d^3\,\mathrm{tan}\left(e+f\,x\right)-d^3\,1{}\mathrm{i}}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}","Not used",1,"((d^3*(d*tan(e + f*x))^(1/2))/(4*a^3*f) + (d^2*(d*tan(e + f*x))^(3/2)*1i)/(12*a^3*f))/(3*d^3*tan(e + f*x) - d^3*1i + d^3*tan(e + f*x)^2*3i - d^3*tan(e + f*x)^3) - ((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(8*a^3*f) - ((-1)^(1/4)*d^(1/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(8*a^3*f)","B"
184,1,206,343,5.683071,"\text{Not used}","int(1/((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x)*1i)^3),x)","\frac{\frac{19\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{12\,a^3\,f}+\frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,5{}\mathrm{i}}{8\,a^3\,f}-\frac{d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,9{}\mathrm{i}}{8\,a^3\,f}}{-d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3+d^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,d^3\,\mathrm{tan}\left(e+f\,x\right)-d^3\,1{}\mathrm{i}}-\mathrm{atan}\left(\frac{8\,a^3\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{9{}\mathrm{i}}{64\,a^6\,d\,f^2}}}{3}\right)\,\sqrt{\frac{9{}\mathrm{i}}{64\,a^6\,d\,f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(16\,a^3\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{256\,a^6\,d\,f^2}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{256\,a^6\,d\,f^2}}\,2{}\mathrm{i}","Not used",1,"(((d*tan(e + f*x))^(5/2)*5i)/(8*a^3*f) - (d^2*(d*tan(e + f*x))^(1/2)*9i)/(8*a^3*f) + (19*d*(d*tan(e + f*x))^(3/2))/(12*a^3*f))/(3*d^3*tan(e + f*x) - d^3*1i + d^3*tan(e + f*x)^2*3i - d^3*tan(e + f*x)^3) - atan((8*a^3*f*(d*tan(e + f*x))^(1/2)*(9i/(64*a^6*d*f^2))^(1/2))/3)*(9i/(64*a^6*d*f^2))^(1/2)*2i + atan(16*a^3*f*(d*tan(e + f*x))^(1/2)*(-1i/(256*a^6*d*f^2))^(1/2))*(-1i/(256*a^6*d*f^2))^(1/2)*2i","B"
185,1,227,368,6.119215,"\text{Not used}","int(1/((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x)*1i)^3),x)","\frac{\frac{15\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{4\,a^3\,f}-\frac{17\,d^2\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^3\,f}+\frac{d^2\,2{}\mathrm{i}}{a^3\,f}-\frac{d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\,121{}\mathrm{i}}{12\,a^3\,f}}{3\,d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}+d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,3{}\mathrm{i}-d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}+2\,\mathrm{atanh}\left(16\,a^3\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{256\,a^6\,d^3\,f^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{256\,a^6\,d^3\,f^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^3\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{841{}\mathrm{i}}{256\,a^6\,d^3\,f^2}}}{29}\right)\,\sqrt{-\frac{841{}\mathrm{i}}{256\,a^6\,d^3\,f^2}}","Not used",1,"((d^2*2i)/(a^3*f) - (17*d^2*tan(e + f*x))/(2*a^3*f) - (d^2*tan(e + f*x)^2*121i)/(12*a^3*f) + (15*d^2*tan(e + f*x)^3)/(4*a^3*f))/(d*(d*tan(e + f*x))^(5/2)*3i - (d*tan(e + f*x))^(7/2) - d^3*(d*tan(e + f*x))^(1/2)*1i + 3*d^2*(d*tan(e + f*x))^(3/2)) + 2*atanh(16*a^3*d*f*(d*tan(e + f*x))^(1/2)*(1i/(256*a^6*d^3*f^2))^(1/2))*(1i/(256*a^6*d^3*f^2))^(1/2) + 2*atanh((16*a^3*d*f*(d*tan(e + f*x))^(1/2)*(-841i/(256*a^6*d^3*f^2))^(1/2))/29)*(-841i/(256*a^6*d^3*f^2))^(1/2)","B"
186,0,-1,176,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
187,0,-1,135,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
188,1,278,104,7.314147,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{\sqrt{a}\,\ln\left(\frac{\sqrt{a}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2-2{}\mathrm{i}\right)}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}}-\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{d}-\frac{\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,\ln\left(-\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+\frac{2\,{\left(-1\right)}^{3/4}\,\sqrt{2}\,\sqrt{a}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}}+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{a}\,\ln\left({\left(-1\right)}^{3/4}+\frac{\sqrt{a}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}}\right)}{d}+\frac{\sqrt{2}\,\sqrt{a}\,\ln\left(\sqrt{2}\,\left(1-\mathrm{i}\right)+\frac{2\,\sqrt{a}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}}\right)\,\left(1+1{}\mathrm{i}\right)}{d}","Not used",1,"(a^(1/2)*log((a^(1/2)*tan(c + d*x)^(1/2)*(2 - 2i))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2)) - (a*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + 1i)*(1/2 + 1i/2))/d - ((1i/2)^(1/2)*a^(1/2)*log((2*(-1)^(3/4)*2^(1/2)*a^(1/2)*tan(c + d*x)^(1/2))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2)) - (a*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + 1i))/d - (4i^(1/2)*a^(1/2)*log((-1)^(3/4) + (a^(1/2)*tan(c + d*x)^(1/2))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))))/d + (2^(1/2)*a^(1/2)*log(2^(1/2)*(1 - 1i) + (2*a^(1/2)*tan(c + d*x)^(1/2))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2)))*(1 + 1i))/d","B"
189,1,89,49,5.121372,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(1/2),x)","\frac{2\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{-a}\,\mathrm{atanh}\left(\frac{2\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{-a}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{a\,\mathrm{tan}\left(c+d\,x\right)-a\,1{}\mathrm{i}+\sqrt{a}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}\right)}{d}","Not used",1,"(2*(1i/2)^(1/2)*(-a)^(1/2)*atanh((2*(1i/2)^(1/2)*(-a)^(1/2)*tan(c + d*x)^(1/2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2)))/(a*tan(c + d*x) - a*1i + a^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)))/d","B"
190,0,-1,82,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(3/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(3/2), x)","F"
191,0,-1,120,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(5/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(5/2), x)","F"
192,0,-1,154,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(7/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(7/2), x)","F"
193,0,-1,254,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
194,0,-1,217,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
195,0,-1,176,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
196,0,-1,104,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(1/2), x)","F"
197,0,-1,83,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(3/2), x)","F"
198,0,-1,119,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(5/2), x)","F"
199,0,-1,198,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(7/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(7/2), x)","F"
200,0,-1,235,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(9/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(9/2), x)","F"
201,0,-1,258,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
202,0,-1,219,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
203,0,-1,182,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
204,0,-1,139,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(1/2), x)","F"
205,0,-1,139,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(3/2), x)","F"
206,0,-1,122,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(5/2), x)","F"
207,0,-1,156,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(7/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(7/2), x)","F"
208,0,-1,202,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(9/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(9/2), x)","F"
209,0,-1,239,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(11/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{11/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/tan(c + d*x)^(11/2), x)","F"
210,0,-1,218,0.000000,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(tan(c + d*x)^(7/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
211,0,-1,177,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
212,0,-1,140,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
213,1,242,88,6.708865,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{\ln\left(2+\frac{\sqrt{a}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{\sqrt{a}\,d}-\frac{2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(d\,1{}\mathrm{i}-\frac{a\,d\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)}-\frac{\sqrt{\frac{1}{8}{}\mathrm{i}}\,\ln\left(-\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+\frac{2\,{\left(-1\right)}^{3/4}\,\sqrt{2}\,\sqrt{a}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}}+1{}\mathrm{i}\right)}{\sqrt{a}\,d}","Not used",1,"(log((a*tan(c + d*x)*2i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (a^(1/2)*tan(c + d*x)^(1/2)*(4 + 4i))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2)) + 2)*(1/4 + 1i/4))/(a^(1/2)*d) - (2*tan(c + d*x)^(1/2))/(((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*(d*1i - (a*d*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)) - ((1i/8)^(1/2)*log((2*(-1)^(3/4)*2^(1/2)*a^(1/2)*tan(c + d*x)^(1/2))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2)) - (a*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + 1i))/(a^(1/2)*d)","B"
214,1,171,85,6.088602,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(d\,1{}\mathrm{i}-\frac{a\,d\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)}+\frac{2\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,\mathrm{atanh}\left(\frac{32\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{9/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(a^4\,4{}\mathrm{i}-\frac{4\,a^5\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}\right)}{\sqrt{-a}\,d}","Not used",1,"(tan(c + d*x)^(1/2)*2i)/(((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*(d*1i - (a*d*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)) + (2*(1i/8)^(1/2)*atanh((32*(1i/8)^(1/2)*(-a)^(9/2)*tan(c + d*x)^(1/2))/((a^4*4i - (4*a^5*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2)))))/((-a)^(1/2)*d)","B"
215,0,-1,120,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
216,0,-1,161,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
217,0,-1,198,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
218,0,-1,218,0.000000,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(7/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
219,0,-1,181,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
220,0,-1,127,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
221,0,-1,127,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
222,0,-1,125,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
223,0,-1,162,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
224,0,-1,201,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
225,0,-1,257,0.000000,"\text{Not used}","int(tan(c + d*x)^(9/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(9/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
226,0,-1,218,0.000000,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(7/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
227,0,-1,166,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
228,0,-1,164,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
229,0,-1,168,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
230,0,-1,162,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
231,0,-1,199,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
232,0,-1,238,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
233,1,655,343,5.716191,"\text{Not used}","int(tan(c + d*x)^(10/3)/(a + a*tan(c + d*x)*1i),x)","\ln\left(\left(a^3\,d^3\,703584{}\mathrm{i}-414720\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}+a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,182376{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}+\ln\left(\left(a^3\,d^3\,703584{}\mathrm{i}-414720\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}+a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,182376{}\mathrm{i}\right)\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}+\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{a\,d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}\,3{}\mathrm{i}}{4\,a\,d}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,703584{}\mathrm{i}-103680\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}+a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,182376{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,703584{}\mathrm{i}-103680\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}-a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,182376{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,703584{}\mathrm{i}-103680\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}+a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,182376{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,703584{}\mathrm{i}-103680\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,182376{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{4913{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"log((a^3*d^3*703584i - 414720*a^5*d^5*tan(c + d*x)^(1/3)*(1i/(64*a^3*d^3))^(2/3))*(1i/(64*a^3*d^3))^(1/3) + a^2*d^2*tan(c + d*x)^(1/3)*182376i)*(1i/(64*a^3*d^3))^(1/3) + log((a^3*d^3*703584i - 414720*a^5*d^5*tan(c + d*x)^(1/3)*(4913i/(1728*a^3*d^3))^(2/3))*(4913i/(1728*a^3*d^3))^(1/3) + a^2*d^2*tan(c + d*x)^(1/3)*182376i)*(4913i/(1728*a^3*d^3))^(1/3) + (3*tan(c + d*x)^(1/3))/(a*d) - (tan(c + d*x)^(4/3)*3i)/(4*a*d) + (log(((3^(1/2)*1i - 1)*(a^3*d^3*703584i - 103680*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(1i/(64*a^3*d^3))^(2/3))*(1i/(64*a^3*d^3))^(1/3))/2 + a^2*d^2*tan(c + d*x)^(1/3)*182376i)*(3^(1/2)*1i - 1)*(1i/(64*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*(a^3*d^3*703584i - 103680*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(1i/(64*a^3*d^3))^(2/3))*(1i/(64*a^3*d^3))^(1/3))/2 - a^2*d^2*tan(c + d*x)^(1/3)*182376i)*(3^(1/2)*1i + 1)*(1i/(64*a^3*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)*(a^3*d^3*703584i - 103680*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(4913i/(1728*a^3*d^3))^(2/3))*(4913i/(1728*a^3*d^3))^(1/3))/2 + a^2*d^2*tan(c + d*x)^(1/3)*182376i)*(3^(1/2)*1i - 1)*(4913i/(1728*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*(a^3*d^3*703584i - 103680*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(4913i/(1728*a^3*d^3))^(2/3))*(4913i/(1728*a^3*d^3))^(1/3))/2 - a^2*d^2*tan(c + d*x)^(1/3)*182376i)*(3^(1/2)*1i + 1)*(4913i/(1728*a^3*d^3))^(1/3))/2 + tan(c + d*x)^(1/3)/(2*a*d*(tan(c + d*x)*1i + 1))","B"
234,1,616,319,5.438108,"\text{Not used}","int(tan(c + d*x)^(8/3)/(a + a*tan(c + d*x)*1i),x)","\ln\left(\left(a^3\,d^3\,312480{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}\,307584{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}+24336\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}+\ln\left(\left(a^3\,d^3\,312480{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}\,307584{}\mathrm{i}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}+24336\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,3{}\mathrm{i}}{2\,a\,d}+\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,312480{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}\,153792{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}}{4}+24336\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,312480{}\mathrm{i}+a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}\,153792{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}}{4}+24336\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,312480{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}\,153792{}\mathrm{i}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}}{4}+24336\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,312480{}\mathrm{i}+a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}\,153792{}\mathrm{i}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}}{4}+24336\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{2197{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"log((a^3*d^3*312480i - a^4*d^4*tan(c + d*x)^(1/3)*(-1i/(64*a^3*d^3))^(1/3)*307584i)*(-1i/(64*a^3*d^3))^(2/3) + 24336*a*d*tan(c + d*x)^(1/3))*(-1i/(64*a^3*d^3))^(1/3) + log((a^3*d^3*312480i - a^4*d^4*tan(c + d*x)^(1/3)*(-2197i/(1728*a^3*d^3))^(1/3)*307584i)*(-2197i/(1728*a^3*d^3))^(2/3) + 24336*a*d*tan(c + d*x)^(1/3))*(-2197i/(1728*a^3*d^3))^(1/3) - (tan(c + d*x)^(2/3)*3i)/(2*a*d) + (log(((3^(1/2)*1i - 1)^2*(a^3*d^3*312480i - a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(-1i/(64*a^3*d^3))^(1/3)*153792i)*(-1i/(64*a^3*d^3))^(2/3))/4 + 24336*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i - 1)*(-1i/(64*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(a^3*d^3*312480i + a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(-1i/(64*a^3*d^3))^(1/3)*153792i)*(-1i/(64*a^3*d^3))^(2/3))/4 + 24336*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i + 1)*(-1i/(64*a^3*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)^2*(a^3*d^3*312480i - a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(-2197i/(1728*a^3*d^3))^(1/3)*153792i)*(-2197i/(1728*a^3*d^3))^(2/3))/4 + 24336*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i - 1)*(-2197i/(1728*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(a^3*d^3*312480i + a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(-2197i/(1728*a^3*d^3))^(1/3)*153792i)*(-2197i/(1728*a^3*d^3))^(2/3))/4 + 24336*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i + 1)*(-2197i/(1728*a^3*d^3))^(1/3))/2 - (tan(c + d*x)^(2/3)*1i)/(2*a*d*(tan(c + d*x)*1i + 1))","B"
235,1,622,299,5.163011,"\text{Not used}","int(tan(c + d*x)^(4/3)/(a + a*tan(c + d*x)*1i),x)","\ln\left(\left(a^3\,d^3\,14112{}\mathrm{i}-165888\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}-a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,6120{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}+\ln\left(\left(a^3\,d^3\,14112{}\mathrm{i}-165888\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}-a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,6120{}\mathrm{i}\right)\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,14112{}\mathrm{i}-41472\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}-a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,6120{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,14112{}\mathrm{i}-41472\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}+a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,6120{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,14112{}\mathrm{i}-41472\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,6120{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,14112{}\mathrm{i}-41472\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}+a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,6120{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{125{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"log((a^3*d^3*14112i - 165888*a^5*d^5*tan(c + d*x)^(1/3)*(-1i/(64*a^3*d^3))^(2/3))*(-1i/(64*a^3*d^3))^(1/3) - a^2*d^2*tan(c + d*x)^(1/3)*6120i)*(-1i/(64*a^3*d^3))^(1/3) + log((a^3*d^3*14112i - 165888*a^5*d^5*tan(c + d*x)^(1/3)*(-125i/(1728*a^3*d^3))^(2/3))*(-125i/(1728*a^3*d^3))^(1/3) - a^2*d^2*tan(c + d*x)^(1/3)*6120i)*(-125i/(1728*a^3*d^3))^(1/3) + (log(((3^(1/2)*1i - 1)*(a^3*d^3*14112i - 41472*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(-1i/(64*a^3*d^3))^(2/3))*(-1i/(64*a^3*d^3))^(1/3))/2 - a^2*d^2*tan(c + d*x)^(1/3)*6120i)*(3^(1/2)*1i - 1)*(-1i/(64*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*(a^3*d^3*14112i - 41472*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(-1i/(64*a^3*d^3))^(2/3))*(-1i/(64*a^3*d^3))^(1/3))/2 + a^2*d^2*tan(c + d*x)^(1/3)*6120i)*(3^(1/2)*1i + 1)*(-1i/(64*a^3*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)*(a^3*d^3*14112i - 41472*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(-125i/(1728*a^3*d^3))^(2/3))*(-125i/(1728*a^3*d^3))^(1/3))/2 - a^2*d^2*tan(c + d*x)^(1/3)*6120i)*(3^(1/2)*1i - 1)*(-125i/(1728*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*(a^3*d^3*14112i - 41472*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(-125i/(1728*a^3*d^3))^(2/3))*(-125i/(1728*a^3*d^3))^(1/3))/2 + a^2*d^2*tan(c + d*x)^(1/3)*6120i)*(3^(1/2)*1i + 1)*(-125i/(1728*a^3*d^3))^(1/3))/2 - tan(c + d*x)^(1/3)/(2*a*d*(tan(c + d*x)*1i + 1))","B"
236,1,599,303,5.290864,"\text{Not used}","int(tan(c + d*x)^(2/3)/(a + a*tan(c + d*x)*1i),x)","\ln\left(\left(a^3\,d^3\,3744{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}\,17280{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}-36\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}+\ln\left(\left(a^3\,d^3\,3744{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}\,17280{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}-36\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}+\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,3744{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}\,8640{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}}{4}-36\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,3744{}\mathrm{i}+a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}\,8640{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{2/3}}{4}-36\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{64\,a^3\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,3744{}\mathrm{i}-a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}\,8640{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}}{4}-36\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,3744{}\mathrm{i}+a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}\,8640{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{2/3}}{4}-36\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{1728\,a^3\,d^3}\right)}^{1/3}}{2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"log((a^3*d^3*3744i - a^4*d^4*tan(c + d*x)^(1/3)*(1i/(64*a^3*d^3))^(1/3)*17280i)*(1i/(64*a^3*d^3))^(2/3) - 36*a*d*tan(c + d*x)^(1/3))*(1i/(64*a^3*d^3))^(1/3) + log((a^3*d^3*3744i - a^4*d^4*tan(c + d*x)^(1/3)*(1i/(1728*a^3*d^3))^(1/3)*17280i)*(1i/(1728*a^3*d^3))^(2/3) - 36*a*d*tan(c + d*x)^(1/3))*(1i/(1728*a^3*d^3))^(1/3) + (log(((3^(1/2)*1i - 1)^2*(a^3*d^3*3744i - a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(1i/(64*a^3*d^3))^(1/3)*8640i)*(1i/(64*a^3*d^3))^(2/3))/4 - 36*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i - 1)*(1i/(64*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(a^3*d^3*3744i + a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(1i/(64*a^3*d^3))^(1/3)*8640i)*(1i/(64*a^3*d^3))^(2/3))/4 - 36*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i + 1)*(1i/(64*a^3*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)^2*(a^3*d^3*3744i - a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(1i/(1728*a^3*d^3))^(1/3)*8640i)*(1i/(1728*a^3*d^3))^(2/3))/4 - 36*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i - 1)*(1i/(1728*a^3*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(a^3*d^3*3744i + a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(1i/(1728*a^3*d^3))^(1/3)*8640i)*(1i/(1728*a^3*d^3))^(2/3))/4 - 36*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i + 1)*(1i/(1728*a^3*d^3))^(1/3))/2 + (tan(c + d*x)^(2/3)*1i)/(2*a*d*(tan(c + d*x)*1i + 1))","B"
237,1,587,303,5.312856,"\text{Not used}","int(1/(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)),x)","\frac{5\,\ln\left(\frac{25\,\left(24480\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}+a^3\,d^3\,14112{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{2/3}}{144}-1800\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{12}+\ln\left(\left(58752\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}+a^3\,d^3\,14112{}\mathrm{i}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{2/3}-1800\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}+\frac{5\,\ln\left(\frac{25\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,14112{}\mathrm{i}+12240\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{2/3}}{576}-1800\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}-\frac{5\,\ln\left(\frac{25\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,14112{}\mathrm{i}-12240\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{2/3}}{576}-1800\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}+\ln\left({\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(a^3\,d^3\,14112{}\mathrm{i}+58752\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{2/3}-1800\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}-\ln\left({\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(a^3\,d^3\,14112{}\mathrm{i}-58752\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{2/3}-1800\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(5*log((25*(a^3*d^3*14112i + 24480*a^4*d^4*tan(c + d*x)^(1/3)*(1/(a^3*d^3))^(1/3))*(1/(a^3*d^3))^(2/3))/144 - 1800*a*d*tan(c + d*x)^(1/3))*(1/(a^3*d^3))^(1/3))/12 + log((a^3*d^3*14112i + 58752*a^4*d^4*tan(c + d*x)^(1/3)*(1/(64*a^3*d^3))^(1/3))*(1/(64*a^3*d^3))^(2/3) - 1800*a*d*tan(c + d*x)^(1/3))*(1/(64*a^3*d^3))^(1/3) + (5*log((25*(3^(1/2)*1i - 1)^2*(a^3*d^3*14112i + 12240*a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(1/(a^3*d^3))^(1/3))*(1/(a^3*d^3))^(2/3))/576 - 1800*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i - 1)*(1/(a^3*d^3))^(1/3))/24 - (5*log((25*(3^(1/2)*1i + 1)^2*(a^3*d^3*14112i - 12240*a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(1/(a^3*d^3))^(1/3))*(1/(a^3*d^3))^(2/3))/576 - 1800*a*d*tan(c + d*x)^(1/3))*(3^(1/2)*1i + 1)*(1/(a^3*d^3))^(1/3))/24 + log(((3^(1/2)*1i)/2 - 1/2)^2*(a^3*d^3*14112i + 58752*a^4*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(1/(64*a^3*d^3))^(1/3))*(1/(64*a^3*d^3))^(2/3) - 1800*a*d*tan(c + d*x)^(1/3))*((3^(1/2)*1i)/2 - 1/2)*(1/(64*a^3*d^3))^(1/3) - log(((3^(1/2)*1i)/2 + 1/2)^2*(a^3*d^3*14112i - 58752*a^4*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(1/(64*a^3*d^3))^(1/3))*(1/(64*a^3*d^3))^(2/3) - 1800*a*d*tan(c + d*x)^(1/3))*((3^(1/2)*1i)/2 + 1/2)*(1/(64*a^3*d^3))^(1/3) + tan(c + d*x)^(2/3)/(2*a*d*(tan(c + d*x)*1i + 1))","B"
238,1,630,321,5.363668,"\text{Not used}","int(1/(tan(c + d*x)^(5/3)*(a + a*tan(c + d*x)*1i)),x)","-\frac{\frac{3}{2\,a\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{a\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}+{\mathrm{tan}\left(c+d\,x\right)}^{5/3}\,1{}\mathrm{i}}+\ln\left(\left(331776\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{2/3}+a^3\,d^3\,312480{}\mathrm{i}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}-83304\,a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}+\frac{13\,\ln\left(\frac{13\,\left(389376\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{a^3\,d^3}\right)}^{2/3}+a^3\,d^3\,312480{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{12}-83304\,a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{12}+\frac{13\,\ln\left(\frac{13\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,312480{}\mathrm{i}+97344\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}-83304\,a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}-\frac{13\,\ln\left(\frac{13\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^3\,d^3\,312480{}\mathrm{i}+97344\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}+83304\,a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}+\ln\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^3\,d^3\,312480{}\mathrm{i}+331776\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}-83304\,a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}-\ln\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^3\,d^3\,312480{}\mathrm{i}+331776\,a^5\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}+83304\,a^2\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{64\,a^3\,d^3}\right)}^{1/3}","Not used",1,"log((a^3*d^3*312480i + 331776*a^5*d^5*tan(c + d*x)^(1/3)*(1/(64*a^3*d^3))^(2/3))*(1/(64*a^3*d^3))^(1/3) - 83304*a^2*d^2*tan(c + d*x)^(1/3))*(1/(64*a^3*d^3))^(1/3) - (3/(2*a*d) + (tan(c + d*x)*2i)/(a*d))/(tan(c + d*x)^(2/3) + tan(c + d*x)^(5/3)*1i) + (13*log((13*(a^3*d^3*312480i + 389376*a^5*d^5*tan(c + d*x)^(1/3)*(1/(a^3*d^3))^(2/3))*(1/(a^3*d^3))^(1/3))/12 - 83304*a^2*d^2*tan(c + d*x)^(1/3))*(1/(a^3*d^3))^(1/3))/12 + (13*log((13*(3^(1/2)*1i - 1)*(a^3*d^3*312480i + 97344*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(1/(a^3*d^3))^(2/3))*(1/(a^3*d^3))^(1/3))/24 - 83304*a^2*d^2*tan(c + d*x)^(1/3))*(3^(1/2)*1i - 1)*(1/(a^3*d^3))^(1/3))/24 - (13*log((13*(3^(1/2)*1i + 1)*(a^3*d^3*312480i + 97344*a^5*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(1/(a^3*d^3))^(2/3))*(1/(a^3*d^3))^(1/3))/24 + 83304*a^2*d^2*tan(c + d*x)^(1/3))*(3^(1/2)*1i + 1)*(1/(a^3*d^3))^(1/3))/24 + log(((3^(1/2)*1i)/2 - 1/2)*(a^3*d^3*312480i + 331776*a^5*d^5*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 - 1/2)^2*(1/(64*a^3*d^3))^(2/3))*(1/(64*a^3*d^3))^(1/3) - 83304*a^2*d^2*tan(c + d*x)^(1/3))*((3^(1/2)*1i)/2 - 1/2)*(1/(64*a^3*d^3))^(1/3) - log(((3^(1/2)*1i)/2 + 1/2)*(a^3*d^3*312480i + 331776*a^5*d^5*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 + 1/2)^2*(1/(64*a^3*d^3))^(2/3))*(1/(64*a^3*d^3))^(1/3) + 83304*a^2*d^2*tan(c + d*x)^(1/3))*((3^(1/2)*1i)/2 + 1/2)*(1/(64*a^3*d^3))^(1/3)","B"
239,1,611,347,5.753596,"\text{Not used}","int(1/(tan(c + d*x)^(7/3)*(a + a*tan(c + d*x)*1i)),x)","\ln\left(52020\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}-\left(-514944\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{1/3}+a^3\,d^3\,703584{}\mathrm{i}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{1/3}+\frac{17\,\ln\left(52020\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}-\frac{289\,\left(-729504\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1}{a^3\,d^3}\right)}^{1/3}+a^3\,d^3\,703584{}\mathrm{i}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{2/3}}{144}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{1/3}}{12}-\frac{\frac{3}{4\,a\,d}+\frac{7\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,a\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,9{}\mathrm{i}}{4\,a\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}+{\mathrm{tan}\left(c+d\,x\right)}^{7/3}\,1{}\mathrm{i}}+\frac{17\,\ln\left(52020\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}-\frac{289\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,703584{}\mathrm{i}-364752\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{2/3}}{576}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}-\frac{17\,\ln\left(52020\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}-\frac{289\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,703584{}\mathrm{i}+364752\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{2/3}}{576}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^3\,d^3}\right)}^{1/3}}{24}+\ln\left(52020\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}-{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(a^3\,d^3\,703584{}\mathrm{i}-514944\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{2/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{1/3}-\ln\left(52020\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}-{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(a^3\,d^3\,703584{}\mathrm{i}+514944\,a^4\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{2/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{64\,a^3\,d^3}\right)}^{1/3}","Not used",1,"log(52020*a*d*tan(c + d*x)^(1/3) - (a^3*d^3*703584i - 514944*a^4*d^4*tan(c + d*x)^(1/3)*(-1/(64*a^3*d^3))^(1/3))*(-1/(64*a^3*d^3))^(2/3))*(-1/(64*a^3*d^3))^(1/3) + (17*log(52020*a*d*tan(c + d*x)^(1/3) - (289*(a^3*d^3*703584i - 729504*a^4*d^4*tan(c + d*x)^(1/3)*(-1/(a^3*d^3))^(1/3))*(-1/(a^3*d^3))^(2/3))/144)*(-1/(a^3*d^3))^(1/3))/12 - (3/(4*a*d) - (tan(c + d*x)*9i)/(4*a*d) + (7*tan(c + d*x)^2)/(2*a*d))/(tan(c + d*x)^(4/3) + tan(c + d*x)^(7/3)*1i) + (17*log(52020*a*d*tan(c + d*x)^(1/3) - (289*(3^(1/2)*1i - 1)^2*(a^3*d^3*703584i - 364752*a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(-1/(a^3*d^3))^(1/3))*(-1/(a^3*d^3))^(2/3))/576)*(3^(1/2)*1i - 1)*(-1/(a^3*d^3))^(1/3))/24 - (17*log(52020*a*d*tan(c + d*x)^(1/3) - (289*(3^(1/2)*1i + 1)^2*(a^3*d^3*703584i + 364752*a^4*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(-1/(a^3*d^3))^(1/3))*(-1/(a^3*d^3))^(2/3))/576)*(3^(1/2)*1i + 1)*(-1/(a^3*d^3))^(1/3))/24 + log(52020*a*d*tan(c + d*x)^(1/3) - ((3^(1/2)*1i)/2 - 1/2)^2*(a^3*d^3*703584i - 514944*a^4*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(-1/(64*a^3*d^3))^(1/3))*(-1/(64*a^3*d^3))^(2/3))*((3^(1/2)*1i)/2 - 1/2)*(-1/(64*a^3*d^3))^(1/3) - log(52020*a*d*tan(c + d*x)^(1/3) - ((3^(1/2)*1i)/2 + 1/2)^2*(a^3*d^3*703584i + 514944*a^4*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(-1/(64*a^3*d^3))^(1/3))*(-1/(64*a^3*d^3))^(2/3))*((3^(1/2)*1i)/2 + 1/2)*(-1/(64*a^3*d^3))^(1/3)","B"
240,1,674,379,5.458950,"\text{Not used}","int(tan(c + d*x)^(14/3)/(a + a*tan(c + d*x)*1i)^2,x)","\ln\left(\left(\frac{a^6\,d^3\,1619208448{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,167024640{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}+\frac{24321472\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}+\ln\left(\left(\frac{a^6\,d^3\,1619208448{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,167024640{}\mathrm{i}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}+\frac{24321472\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}-\frac{\frac{5\,{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}{3\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/3}\,23{}\mathrm{i}}{12\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,3{}\mathrm{i}}{a^2\,d}-\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/3}}{5\,a^2\,d}+\frac{\ln\left(\frac{24321472\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,1619208448{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,83512320{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{24321472\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,1619208448{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,83512320{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{24321472\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,1619208448{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,83512320{}\mathrm{i}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{24321472\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,1619208448{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,83512320{}\mathrm{i}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{12649337{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(((a^6*d^3*1619208448i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(1i/(512*a^6*d^3))^(1/3)*167024640i)*(1i/(512*a^6*d^3))^(2/3) + (24321472*a^2*d*tan(c + d*x)^(1/3))/3)*(1i/(512*a^6*d^3))^(1/3) + log(((a^6*d^3*1619208448i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(-12649337i/(373248*a^6*d^3))^(1/3)*167024640i)*(-12649337i/(373248*a^6*d^3))^(2/3) + (24321472*a^2*d*tan(c + d*x)^(1/3))/3)*(-12649337i/(373248*a^6*d^3))^(1/3) - ((5*tan(c + d*x)^(2/3))/(3*a^2*d) + (tan(c + d*x)^(5/3)*23i)/(12*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) - (tan(c + d*x)^(2/3)*3i)/(a^2*d) - (3*tan(c + d*x)^(5/3))/(5*a^2*d) + (log((24321472*a^2*d*tan(c + d*x)^(1/3))/3 + ((3^(1/2)*1i - 1)^2*((a^6*d^3*1619208448i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(1i/(512*a^6*d^3))^(1/3)*83512320i)*(1i/(512*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i - 1)*(1i/(512*a^6*d^3))^(1/3))/2 - (log((24321472*a^2*d*tan(c + d*x)^(1/3))/3 + ((3^(1/2)*1i + 1)^2*((a^6*d^3*1619208448i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(1i/(512*a^6*d^3))^(1/3)*83512320i)*(1i/(512*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i + 1)*(1i/(512*a^6*d^3))^(1/3))/2 + (log((24321472*a^2*d*tan(c + d*x)^(1/3))/3 + ((3^(1/2)*1i - 1)^2*((a^6*d^3*1619208448i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(-12649337i/(373248*a^6*d^3))^(1/3)*83512320i)*(-12649337i/(373248*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i - 1)*(-12649337i/(373248*a^6*d^3))^(1/3))/2 - (log((24321472*a^2*d*tan(c + d*x)^(1/3))/3 + ((3^(1/2)*1i + 1)^2*((a^6*d^3*1619208448i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(-12649337i/(373248*a^6*d^3))^(1/3)*83512320i)*(-12649337i/(373248*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i + 1)*(-12649337i/(373248*a^6*d^3))^(1/3))/2","B"
241,1,668,357,5.239835,"\text{Not used}","int(tan(c + d*x)^(10/3)/(a + a*tan(c + d*x)*1i)^2,x)","\ln\left(\left(\frac{a^6\,d^3\,90329344{}\mathrm{i}}{3}-17694720\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,11394848{}\mathrm{i}}{3}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}+\ln\left(\left(\frac{a^6\,d^3\,90329344{}\mathrm{i}}{3}-17694720\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,11394848{}\mathrm{i}}{3}\right)\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}+\frac{-\frac{4\,{\mathrm{tan}\left(c+d\,x\right)}^{4/3}}{3\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,13{}\mathrm{i}}{12\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}-\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{a^2\,d}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,90329344{}\mathrm{i}}{3}-4423680\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,11394848{}\mathrm{i}}{3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,90329344{}\mathrm{i}}{3}-4423680\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,11394848{}\mathrm{i}}{3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,90329344{}\mathrm{i}}{3}-4423680\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,11394848{}\mathrm{i}}{3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,90329344{}\mathrm{i}}{3}-4423680\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,11394848{}\mathrm{i}}{3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{704969{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(((a^6*d^3*90329344i)/3 - 17694720*a^10*d^5*tan(c + d*x)^(1/3)*(1i/(512*a^6*d^3))^(2/3))*(1i/(512*a^6*d^3))^(1/3) + (a^4*d^2*tan(c + d*x)^(1/3)*11394848i)/3)*(1i/(512*a^6*d^3))^(1/3) + log(((a^6*d^3*90329344i)/3 - 17694720*a^10*d^5*tan(c + d*x)^(1/3)*(-704969i/(373248*a^6*d^3))^(2/3))*(-704969i/(373248*a^6*d^3))^(1/3) + (a^4*d^2*tan(c + d*x)^(1/3)*11394848i)/3)*(-704969i/(373248*a^6*d^3))^(1/3) + ((tan(c + d*x)^(1/3)*13i)/(12*a^2*d) - (4*tan(c + d*x)^(4/3))/(3*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) - (3*tan(c + d*x)^(1/3))/(a^2*d) + (log(((3^(1/2)*1i - 1)*((a^6*d^3*90329344i)/3 - 4423680*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(1i/(512*a^6*d^3))^(2/3))*(1i/(512*a^6*d^3))^(1/3))/2 + (a^4*d^2*tan(c + d*x)^(1/3)*11394848i)/3)*(3^(1/2)*1i - 1)*(1i/(512*a^6*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*((a^6*d^3*90329344i)/3 - 4423680*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(1i/(512*a^6*d^3))^(2/3))*(1i/(512*a^6*d^3))^(1/3))/2 - (a^4*d^2*tan(c + d*x)^(1/3)*11394848i)/3)*(3^(1/2)*1i + 1)*(1i/(512*a^6*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)*((a^6*d^3*90329344i)/3 - 4423680*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(-704969i/(373248*a^6*d^3))^(2/3))*(-704969i/(373248*a^6*d^3))^(1/3))/2 + (a^4*d^2*tan(c + d*x)^(1/3)*11394848i)/3)*(3^(1/2)*1i - 1)*(-704969i/(373248*a^6*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*((a^6*d^3*90329344i)/3 - 4423680*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(-704969i/(373248*a^6*d^3))^(2/3))*(-704969i/(373248*a^6*d^3))^(1/3))/2 - (a^4*d^2*tan(c + d*x)^(1/3)*11394848i)/3)*(3^(1/2)*1i + 1)*(-704969i/(373248*a^6*d^3))^(1/3))/2","B"
242,1,642,337,5.255125,"\text{Not used}","int(tan(c + d*x)^(8/3)/(a + a*tan(c + d*x)*1i)^2,x)","\ln\left(-\left(\frac{a^6\,d^3\,8915200{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,5412864{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}-\frac{107584\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}+\ln\left(-\left(\frac{a^6\,d^3\,8915200{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,5412864{}\mathrm{i}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}-\frac{107584\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}+\frac{\frac{2\,{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}{3\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/3}\,11{}\mathrm{i}}{12\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}+\frac{\ln\left(-\frac{107584\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,8915200{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,2706432{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{107584\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,8915200{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,2706432{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(-\frac{107584\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,8915200{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,2706432{}\mathrm{i}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{107584\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,8915200{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,2706432{}\mathrm{i}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{68921{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(- ((a^6*d^3*8915200i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(-1i/(512*a^6*d^3))^(1/3)*5412864i)*(-1i/(512*a^6*d^3))^(2/3) - (107584*a^2*d*tan(c + d*x)^(1/3))/3)*(-1i/(512*a^6*d^3))^(1/3) + log(- ((a^6*d^3*8915200i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(68921i/(373248*a^6*d^3))^(1/3)*5412864i)*(68921i/(373248*a^6*d^3))^(2/3) - (107584*a^2*d*tan(c + d*x)^(1/3))/3)*(68921i/(373248*a^6*d^3))^(1/3) + ((2*tan(c + d*x)^(2/3))/(3*a^2*d) + (tan(c + d*x)^(5/3)*11i)/(12*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + (log(- (107584*a^2*d*tan(c + d*x)^(1/3))/3 - ((3^(1/2)*1i - 1)^2*((a^6*d^3*8915200i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(-1i/(512*a^6*d^3))^(1/3)*2706432i)*(-1i/(512*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i - 1)*(-1i/(512*a^6*d^3))^(1/3))/2 - (log(- (107584*a^2*d*tan(c + d*x)^(1/3))/3 - ((3^(1/2)*1i + 1)^2*((a^6*d^3*8915200i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(-1i/(512*a^6*d^3))^(1/3)*2706432i)*(-1i/(512*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i + 1)*(-1i/(512*a^6*d^3))^(1/3))/2 + (log(- (107584*a^2*d*tan(c + d*x)^(1/3))/3 - ((3^(1/2)*1i - 1)^2*((a^6*d^3*8915200i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(68921i/(373248*a^6*d^3))^(1/3)*2706432i)*(68921i/(373248*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i - 1)*(68921i/(373248*a^6*d^3))^(1/3))/2 - (log(- (107584*a^2*d*tan(c + d*x)^(1/3))/3 - ((3^(1/2)*1i + 1)^2*((a^6*d^3*8915200i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(68921i/(373248*a^6*d^3))^(1/3)*2706432i)*(68921i/(373248*a^6*d^3))^(2/3))/4)*(3^(1/2)*1i + 1)*(68921i/(373248*a^6*d^3))^(1/3))/2","B"
243,1,653,335,5.175619,"\text{Not used}","int(tan(c + d*x)^(4/3)/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}}{3\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,1{}\mathrm{i}}{12\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}+\ln\left(\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+3538944\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,14560{}\mathrm{i}}{3}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}+\ln\left(\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+3538944\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,14560{}\mathrm{i}}{3}\right)\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+884736\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,14560{}\mathrm{i}}{3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+884736\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,14560{}\mathrm{i}}{3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+884736\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,14560{}\mathrm{i}}{3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+884736\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,14560{}\mathrm{i}}{3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(((a^6*d^3*49408i)/3 + 3538944*a^10*d^5*tan(c + d*x)^(1/3)*(-1i/(512*a^6*d^3))^(2/3))*(-1i/(512*a^6*d^3))^(1/3) + (a^4*d^2*tan(c + d*x)^(1/3)*14560i)/3)*(-1i/(512*a^6*d^3))^(1/3) - ((tan(c + d*x)^(1/3)*1i)/(12*a^2*d) - tan(c + d*x)^(4/3)/(3*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + log(((a^6*d^3*49408i)/3 + 3538944*a^10*d^5*tan(c + d*x)^(1/3)*(-343i/(373248*a^6*d^3))^(2/3))*(-343i/(373248*a^6*d^3))^(1/3) + (a^4*d^2*tan(c + d*x)^(1/3)*14560i)/3)*(-343i/(373248*a^6*d^3))^(1/3) + (log(((3^(1/2)*1i - 1)*((a^6*d^3*49408i)/3 + 884736*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(-1i/(512*a^6*d^3))^(2/3))*(-1i/(512*a^6*d^3))^(1/3))/2 + (a^4*d^2*tan(c + d*x)^(1/3)*14560i)/3)*(3^(1/2)*1i - 1)*(-1i/(512*a^6*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*((a^6*d^3*49408i)/3 + 884736*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(-1i/(512*a^6*d^3))^(2/3))*(-1i/(512*a^6*d^3))^(1/3))/2 - (a^4*d^2*tan(c + d*x)^(1/3)*14560i)/3)*(3^(1/2)*1i + 1)*(-1i/(512*a^6*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)*((a^6*d^3*49408i)/3 + 884736*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(-343i/(373248*a^6*d^3))^(2/3))*(-343i/(373248*a^6*d^3))^(1/3))/2 + (a^4*d^2*tan(c + d*x)^(1/3)*14560i)/3)*(3^(1/2)*1i - 1)*(-343i/(373248*a^6*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)*((a^6*d^3*49408i)/3 + 884736*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(-343i/(373248*a^6*d^3))^(2/3))*(-343i/(373248*a^6*d^3))^(1/3))/2 - (a^4*d^2*tan(c + d*x)^(1/3)*14560i)/3)*(3^(1/2)*1i + 1)*(-343i/(373248*a^6*d^3))^(1/3))/2","B"
244,1,640,337,5.059845,"\text{Not used}","int(tan(c + d*x)^(2/3)/(a + a*tan(c + d*x)*1i)^2,x)","\ln\left(\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,399360{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}-\frac{1568\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}+\ln\left(\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,399360{}\mathrm{i}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}-\frac{1568\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}{3\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/3}\,1{}\mathrm{i}}{12\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}+\frac{\ln\left(-\frac{1568\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,199680{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{1568\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}\,199680{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{512\,a^6\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(-\frac{1568\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}-a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,199680{}\mathrm{i}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{1568\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,49408{}\mathrm{i}}{3}+a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}\,199680{}\mathrm{i}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{343{}\mathrm{i}}{373248\,a^6\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(((a^6*d^3*49408i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(1i/(512*a^6*d^3))^(1/3)*399360i)*(1i/(512*a^6*d^3))^(2/3) - (1568*a^2*d*tan(c + d*x)^(1/3))/3)*(1i/(512*a^6*d^3))^(1/3) + log(((a^6*d^3*49408i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(343i/(373248*a^6*d^3))^(1/3)*399360i)*(343i/(373248*a^6*d^3))^(2/3) - (1568*a^2*d*tan(c + d*x)^(1/3))/3)*(343i/(373248*a^6*d^3))^(1/3) + (tan(c + d*x)^(2/3)/(3*a^2*d) + (tan(c + d*x)^(5/3)*1i)/(12*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + (log(((3^(1/2)*1i - 1)^2*((a^6*d^3*49408i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(1i/(512*a^6*d^3))^(1/3)*199680i)*(1i/(512*a^6*d^3))^(2/3))/4 - (1568*a^2*d*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i - 1)*(1i/(512*a^6*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*((a^6*d^3*49408i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(1i/(512*a^6*d^3))^(1/3)*199680i)*(1i/(512*a^6*d^3))^(2/3))/4 - (1568*a^2*d*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i + 1)*(1i/(512*a^6*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)^2*((a^6*d^3*49408i)/3 - a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(343i/(373248*a^6*d^3))^(1/3)*199680i)*(343i/(373248*a^6*d^3))^(2/3))/4 - (1568*a^2*d*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i - 1)*(343i/(373248*a^6*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*((a^6*d^3*49408i)/3 + a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(343i/(373248*a^6*d^3))^(1/3)*199680i)*(343i/(373248*a^6*d^3))^(2/3))/4 - (1568*a^2*d*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i + 1)*(343i/(373248*a^6*d^3))^(1/3))/2","B"
245,1,630,339,5.190440,"\text{Not used}","int(1/(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^2),x)","\frac{23\,\ln\left(\frac{529\,\left(\frac{1795840\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{3}+\frac{a^6\,d^3\,1464064{}\mathrm{i}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{2/3}}{5184}-\frac{33856\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{72}+\ln\left(\left(1873920\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}+\frac{a^6\,d^3\,1464064{}\mathrm{i}}{3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{2/3}-\frac{33856\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}-\frac{-\frac{7\,{\mathrm{tan}\left(c+d\,x\right)}^{5/3}}{12\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,5{}\mathrm{i}}{6\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}+\frac{23\,\ln\left(-\frac{33856\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{529\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,1464064{}\mathrm{i}}{3}+\frac{897920\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{2/3}}{20736}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}-\frac{23\,\ln\left(-\frac{33856\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+\frac{529\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,1464064{}\mathrm{i}}{3}-\frac{897920\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{2/3}}{20736}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}+\ln\left(-\frac{33856\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(\frac{a^6\,d^3\,1464064{}\mathrm{i}}{3}+1873920\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{2/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}-\ln\left(-\frac{33856\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}+{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(\frac{a^6\,d^3\,1464064{}\mathrm{i}}{3}-1873920\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{2/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}","Not used",1,"(23*log((529*((a^6*d^3*1464064i)/3 + (1795840*a^8*d^4*tan(c + d*x)^(1/3)*(1/(a^6*d^3))^(1/3))/3)*(1/(a^6*d^3))^(2/3))/5184 - (33856*a^2*d*tan(c + d*x)^(1/3))/3)*(1/(a^6*d^3))^(1/3))/72 + log(((a^6*d^3*1464064i)/3 + 1873920*a^8*d^4*tan(c + d*x)^(1/3)*(1/(512*a^6*d^3))^(1/3))*(1/(512*a^6*d^3))^(2/3) - (33856*a^2*d*tan(c + d*x)^(1/3))/3)*(1/(512*a^6*d^3))^(1/3) - ((tan(c + d*x)^(2/3)*5i)/(6*a^2*d) - (7*tan(c + d*x)^(5/3))/(12*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + (23*log((529*(3^(1/2)*1i - 1)^2*((a^6*d^3*1464064i)/3 + (897920*a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(1/(a^6*d^3))^(1/3))/3)*(1/(a^6*d^3))^(2/3))/20736 - (33856*a^2*d*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i - 1)*(1/(a^6*d^3))^(1/3))/144 - (23*log((529*(3^(1/2)*1i + 1)^2*((a^6*d^3*1464064i)/3 - (897920*a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(1/(a^6*d^3))^(1/3))/3)*(1/(a^6*d^3))^(2/3))/20736 - (33856*a^2*d*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i + 1)*(1/(a^6*d^3))^(1/3))/144 + log(((3^(1/2)*1i)/2 - 1/2)^2*((a^6*d^3*1464064i)/3 + 1873920*a^8*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(1/(512*a^6*d^3))^(1/3))*(1/(512*a^6*d^3))^(2/3) - (33856*a^2*d*tan(c + d*x)^(1/3))/3)*((3^(1/2)*1i)/2 - 1/2)*(1/(512*a^6*d^3))^(1/3) - log(((3^(1/2)*1i)/2 + 1/2)^2*((a^6*d^3*1464064i)/3 - 1873920*a^8*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(1/(512*a^6*d^3))^(1/3))*(1/(512*a^6*d^3))^(2/3) - (33856*a^2*d*tan(c + d*x)^(1/3))/3)*((3^(1/2)*1i)/2 + 1/2)*(1/(512*a^6*d^3))^(1/3)","B"
246,1,660,359,5.257317,"\text{Not used}","int(1/(tan(c + d*x)^(5/3)*(a + a*tan(c + d*x)*1i)^2),x)","\ln\left(\left(28311552\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{2/3}+\frac{a^6\,d^3\,215607040{}\mathrm{i}}{3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}-\frac{27116768\,a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}+\frac{119\,\ln\left(\frac{119\,\left(\frac{232013824\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{a^6\,d^3}\right)}^{2/3}}{3}+\frac{a^6\,d^3\,215607040{}\mathrm{i}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{72}-\frac{27116768\,a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{72}-\frac{\frac{53\,\mathrm{tan}\left(c+d\,x\right)}{12\,a^2\,d}-\frac{3{}\mathrm{i}}{2\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,8{}\mathrm{i}}{3\,a^2\,d}}{2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/3}-{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^{8/3}\,1{}\mathrm{i}}+\ln\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{a^6\,d^3\,215607040{}\mathrm{i}}{3}+28311552\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}-\frac{27116768\,a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}-\ln\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{a^6\,d^3\,215607040{}\mathrm{i}}{3}+28311552\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}+\frac{27116768\,a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{1}{512\,a^6\,d^3}\right)}^{1/3}+\frac{119\,\ln\left(\frac{119\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,215607040{}\mathrm{i}}{3}+\frac{58003456\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^6\,d^3}\right)}^{2/3}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}-\frac{27116768\,a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}-\frac{119\,\ln\left(\frac{119\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{a^6\,d^3\,215607040{}\mathrm{i}}{3}+\frac{58003456\,a^{10}\,d^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^6\,d^3}\right)}^{2/3}}{3}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}+\frac{27116768\,a^4\,d^2\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}","Not used",1,"log(((a^6*d^3*215607040i)/3 + 28311552*a^10*d^5*tan(c + d*x)^(1/3)*(1/(512*a^6*d^3))^(2/3))*(1/(512*a^6*d^3))^(1/3) - (27116768*a^4*d^2*tan(c + d*x)^(1/3))/3)*(1/(512*a^6*d^3))^(1/3) + (119*log((119*((a^6*d^3*215607040i)/3 + (232013824*a^10*d^5*tan(c + d*x)^(1/3)*(1/(a^6*d^3))^(2/3))/3)*(1/(a^6*d^3))^(1/3))/72 - (27116768*a^4*d^2*tan(c + d*x)^(1/3))/3)*(1/(a^6*d^3))^(1/3))/72 - ((53*tan(c + d*x))/(12*a^2*d) - 3i/(2*a^2*d) + (tan(c + d*x)^2*8i)/(3*a^2*d))/(2*tan(c + d*x)^(5/3) - tan(c + d*x)^(2/3)*1i + tan(c + d*x)^(8/3)*1i) + log(((3^(1/2)*1i)/2 - 1/2)*((a^6*d^3*215607040i)/3 + 28311552*a^10*d^5*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 - 1/2)^2*(1/(512*a^6*d^3))^(2/3))*(1/(512*a^6*d^3))^(1/3) - (27116768*a^4*d^2*tan(c + d*x)^(1/3))/3)*((3^(1/2)*1i)/2 - 1/2)*(1/(512*a^6*d^3))^(1/3) - log(((3^(1/2)*1i)/2 + 1/2)*((a^6*d^3*215607040i)/3 + 28311552*a^10*d^5*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 + 1/2)^2*(1/(512*a^6*d^3))^(2/3))*(1/(512*a^6*d^3))^(1/3) + (27116768*a^4*d^2*tan(c + d*x)^(1/3))/3)*((3^(1/2)*1i)/2 + 1/2)*(1/(512*a^6*d^3))^(1/3) + (119*log((119*(3^(1/2)*1i - 1)*((a^6*d^3*215607040i)/3 + (58003456*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)^2*(1/(a^6*d^3))^(2/3))/3)*(1/(a^6*d^3))^(1/3))/144 - (27116768*a^4*d^2*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i - 1)*(1/(a^6*d^3))^(1/3))/144 - (119*log((119*(3^(1/2)*1i + 1)*((a^6*d^3*215607040i)/3 + (58003456*a^10*d^5*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)^2*(1/(a^6*d^3))^(2/3))/3)*(1/(a^6*d^3))^(1/3))/144 + (27116768*a^4*d^2*tan(c + d*x)^(1/3))/3)*(3^(1/2)*1i + 1)*(1/(a^6*d^3))^(1/3))/144","B"
247,1,652,381,5.462218,"\text{Not used}","int(1/(tan(c + d*x)^(7/3)*(a + a*tan(c + d*x)*1i)^2),x)","\frac{191\,\ln\left(\frac{14592400\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\frac{36481\,\left(-\frac{893867776\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1}{a^6\,d^3}\right)}^{1/3}}{3}+\frac{a^6\,d^3\,891794176{}\mathrm{i}}{3}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{2/3}}{5184}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{1/3}}{72}+\frac{\frac{9\,\mathrm{tan}\left(c+d\,x\right)}{2\,a^2\,d}-\frac{91\,{\mathrm{tan}\left(c+d\,x\right)}^3}{12\,a^2\,d}+\frac{3{}\mathrm{i}}{4\,a^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,157{}\mathrm{i}}{12\,a^2\,d}}{2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/3}-{\mathrm{tan}\left(c+d\,x\right)}^{4/3}\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^{10/3}\,1{}\mathrm{i}}+\ln\left(\frac{14592400\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\left(-112318464\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{1/3}+\frac{a^6\,d^3\,891794176{}\mathrm{i}}{3}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{1/3}+\ln\left(\frac{14592400\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(\frac{a^6\,d^3\,891794176{}\mathrm{i}}{3}-112318464\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{2/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{1/3}-\ln\left(\frac{14592400\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(\frac{a^6\,d^3\,891794176{}\mathrm{i}}{3}+112318464\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{2/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{512\,a^6\,d^3}\right)}^{1/3}+\frac{191\,\ln\left(\frac{14592400\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\frac{36481\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,891794176{}\mathrm{i}}{3}-\frac{446933888\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{1/3}}{3}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{2/3}}{20736}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}-\frac{191\,\ln\left(\frac{14592400\,a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{3}-\frac{36481\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{a^6\,d^3\,891794176{}\mathrm{i}}{3}+\frac{446933888\,a^8\,d^4\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{1/3}}{3}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{2/3}}{20736}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{a^6\,d^3}\right)}^{1/3}}{144}","Not used",1,"(191*log((14592400*a^2*d*tan(c + d*x)^(1/3))/3 - (36481*((a^6*d^3*891794176i)/3 - (893867776*a^8*d^4*tan(c + d*x)^(1/3)*(-1/(a^6*d^3))^(1/3))/3)*(-1/(a^6*d^3))^(2/3))/5184)*(-1/(a^6*d^3))^(1/3))/72 + (3i/(4*a^2*d) + (9*tan(c + d*x))/(2*a^2*d) + (tan(c + d*x)^2*157i)/(12*a^2*d) - (91*tan(c + d*x)^3)/(12*a^2*d))/(2*tan(c + d*x)^(7/3) - tan(c + d*x)^(4/3)*1i + tan(c + d*x)^(10/3)*1i) + log((14592400*a^2*d*tan(c + d*x)^(1/3))/3 - ((a^6*d^3*891794176i)/3 - 112318464*a^8*d^4*tan(c + d*x)^(1/3)*(-1/(512*a^6*d^3))^(1/3))*(-1/(512*a^6*d^3))^(2/3))*(-1/(512*a^6*d^3))^(1/3) + log((14592400*a^2*d*tan(c + d*x)^(1/3))/3 - ((3^(1/2)*1i)/2 - 1/2)^2*((a^6*d^3*891794176i)/3 - 112318464*a^8*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(-1/(512*a^6*d^3))^(1/3))*(-1/(512*a^6*d^3))^(2/3))*((3^(1/2)*1i)/2 - 1/2)*(-1/(512*a^6*d^3))^(1/3) - log((14592400*a^2*d*tan(c + d*x)^(1/3))/3 - ((3^(1/2)*1i)/2 + 1/2)^2*((a^6*d^3*891794176i)/3 + 112318464*a^8*d^4*tan(c + d*x)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(-1/(512*a^6*d^3))^(1/3))*(-1/(512*a^6*d^3))^(2/3))*((3^(1/2)*1i)/2 + 1/2)*(-1/(512*a^6*d^3))^(1/3) + (191*log((14592400*a^2*d*tan(c + d*x)^(1/3))/3 - (36481*(3^(1/2)*1i - 1)^2*((a^6*d^3*891794176i)/3 - (446933888*a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i - 1)*(-1/(a^6*d^3))^(1/3))/3)*(-1/(a^6*d^3))^(2/3))/20736)*(3^(1/2)*1i - 1)*(-1/(a^6*d^3))^(1/3))/144 - (191*log((14592400*a^2*d*tan(c + d*x)^(1/3))/3 - (36481*(3^(1/2)*1i + 1)^2*((a^6*d^3*891794176i)/3 + (446933888*a^8*d^4*tan(c + d*x)^(1/3)*(3^(1/2)*1i + 1)*(-1/(a^6*d^3))^(1/3))/3)*(-1/(a^6*d^3))^(2/3))/20736)*(3^(1/2)*1i + 1)*(-1/(a^6*d^3))^(1/3))/144","B"
248,0,-1,82,0.000000,"\text{Not used}","int(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{4/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
249,0,-1,82,0.000000,"\text{Not used}","int(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
250,0,-1,82,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
251,0,-1,82,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(1/3),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(1/3), x)","F"
252,0,-1,80,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(2/3),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(2/3), x)","F"
253,0,-1,80,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(4/3),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/tan(c + d*x)^(4/3), x)","F"
254,0,-1,82,0.000000,"\text{Not used}","int(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{4/3}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
255,0,-1,82,0.000000,"\text{Not used}","int(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
256,0,-1,82,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
257,0,-1,82,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(1/3),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(1/3), x)","F"
258,0,-1,80,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(2/3),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(2/3), x)","F"
259,0,-1,80,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(4/3),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/tan(c + d*x)^(4/3), x)","F"
260,0,-1,81,0.000000,"\text{Not used}","int(tan(c + d*x)^(4/3)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(tan(c + d*x)^(4/3)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
261,0,-1,81,0.000000,"\text{Not used}","int(tan(c + d*x)^(2/3)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(tan(c + d*x)^(2/3)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
262,0,-1,81,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/3)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(tan(c + d*x)^(1/3)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
263,0,-1,81,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
264,0,-1,79,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
265,0,-1,79,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
266,0,-1,84,0.000000,"\text{Not used}","int(tan(c + d*x)^(4/3)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(4/3)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
267,0,-1,84,0.000000,"\text{Not used}","int(tan(c + d*x)^(2/3)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(2/3)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
268,0,-1,84,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/3)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(1/3)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
269,0,-1,84,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(1/3)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
270,0,-1,82,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(2/3)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
271,0,-1,82,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(4/3)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
272,1,235,234,0.626087,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(1/3),x)","-\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}{4\,a\,d}-\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/3}}{7\,a^2\,d}+\frac{2^{1/3}\,{\left(-a\right)}^{1/3}\,\ln\left(9\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-9\,2^{1/3}\,{\left(-a\right)}^{4/3}\right)}{2\,d}+\frac{4^{2/3}\,{\left(-a\right)}^{1/3}\,\ln\left(\frac{9\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}-\frac{9\,2^{1/3}\,{\left(-a\right)}^{4/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,d}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,d}-\frac{4^{2/3}\,{\left(-a\right)}^{1/3}\,\ln\left(\frac{9\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{9\,2^{1/3}\,{\left(-a\right)}^{4/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,d}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,d}","Not used",1,"(3*(a + a*tan(c + d*x)*1i)^(4/3))/(4*a*d) - (3*(a + a*tan(c + d*x)*1i)^(1/3))/d - (3*(a + a*tan(c + d*x)*1i)^(7/3))/(7*a^2*d) + (2^(1/3)*(-a)^(1/3)*log(9*a*(a*(tan(c + d*x)*1i + 1))^(1/3) - 9*2^(1/3)*(-a)^(4/3)))/(2*d) + (4^(2/3)*(-a)^(1/3)*log((9*a*(a + a*tan(c + d*x)*1i)^(1/3))/d - (9*2^(1/3)*(-a)^(4/3)*(3^(1/2)*1i - 1))/(2*d))*((3^(1/2)*1i)/2 - 1/2))/(4*d) - (4^(2/3)*(-a)^(1/3)*log((9*a*(a + a*tan(c + d*x)*1i)^(1/3))/d + (9*2^(1/3)*(-a)^(4/3)*(3^(1/2)*1i + 1))/(2*d))*((3^(1/2)*1i)/2 + 1/2))/(4*d)","B"
273,1,195,185,4.070320,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(1/3),x)","-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}\,3{}\mathrm{i}}{4\,a\,d}+\frac{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,a^{1/3}\,\ln\left(18\,{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,d^2+a\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,9{}\mathrm{i}\right)}{d}+\frac{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,a^{1/3}\,\ln\left(a\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,9{}\mathrm{i}+18\,{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,d^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}-\frac{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,a^{1/3}\,\ln\left(a\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,9{}\mathrm{i}-18\,{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,d^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"((1i/4)^(1/3)*a^(1/3)*log(18*(1i/4)^(1/3)*a^(4/3)*d^2 + a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i))/d - ((a + a*tan(c + d*x)*1i)^(4/3)*3i)/(4*a*d) + ((1i/4)^(1/3)*a^(1/3)*log(a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i + 18*(1i/4)^(1/3)*a^(4/3)*d^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/d - ((1i/4)^(1/3)*a^(1/3)*log(a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i - 18*(1i/4)^(1/3)*a^(4/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/d","B"
274,1,176,174,4.276311,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{2^{1/3}\,a^{1/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-2^{1/3}\,a^{1/3}\right)}{2\,d}+\frac{4^{2/3}\,a^{1/3}\,\ln\left(\frac{9\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}-\frac{9\,2^{1/3}\,a^{4/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,d}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,d}-\frac{4^{2/3}\,a^{1/3}\,\ln\left(\frac{9\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{9\,2^{1/3}\,a^{4/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,d}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,d}","Not used",1,"(3*(a + a*tan(c + d*x)*1i)^(1/3))/d + (2^(1/3)*a^(1/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*a^(1/3)))/(2*d) + (4^(2/3)*a^(1/3)*log((9*a*(a + a*tan(c + d*x)*1i)^(1/3))/d - (9*2^(1/3)*a^(4/3)*(3^(1/2)*1i - 1))/(2*d))*((3^(1/2)*1i)/2 - 1/2))/(4*d) - (4^(2/3)*a^(1/3)*log((9*a*(a + a*tan(c + d*x)*1i)^(1/3))/d + (9*2^(1/3)*a^(4/3)*(3^(1/2)*1i + 1))/(2*d))*((3^(1/2)*1i)/2 + 1/2))/(4*d)","B"
275,1,184,156,3.967945,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{1/3}\,\ln\left(18\,{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{4/3}\,d^2+a\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,9{}\mathrm{i}\right)}{d}+\frac{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{1/3}\,\ln\left(a\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,9{}\mathrm{i}+18\,{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{4/3}\,d^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}-\frac{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{1/3}\,\ln\left(a\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,9{}\mathrm{i}-18\,{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{4/3}\,d^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"((1i/4)^(1/3)*(-a)^(1/3)*log(18*(1i/4)^(1/3)*(-a)^(4/3)*d^2 + a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i))/d + ((1i/4)^(1/3)*(-a)^(1/3)*log(a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i + 18*(1i/4)^(1/3)*(-a)^(4/3)*d^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/d - ((1i/4)^(1/3)*(-a)^(1/3)*log(a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i - 18*(1i/4)^(1/3)*(-a)^(4/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/d","B"
276,1,328,260,4.305388,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/3),x)","\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-d\,{\left(\frac{a}{d^3}\right)}^{1/3}\right)\,{\left(\frac{a}{d^3}\right)}^{1/3}+\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+2^{1/3}\,d\,{\left(-\frac{a}{d^3}\right)}^{1/3}\right)\,{\left(-\frac{a}{4\,d^3}\right)}^{1/3}-\ln\left(\frac{2^{1/3}\,d\,{\left(-\frac{a}{d^3}\right)}^{1/3}}{2}-{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\frac{2^{1/3}\,\sqrt{3}\,d\,{\left(-\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a}{4\,d^3}\right)}^{1/3}+\frac{\ln\left(2\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+d\,{\left(\frac{a}{d^3}\right)}^{1/3}-\sqrt{3}\,d\,{\left(\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a}{d^3}\right)}^{1/3}}{2}-\frac{\ln\left(2\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+d\,{\left(\frac{a}{d^3}\right)}^{1/3}+\sqrt{3}\,d\,{\left(\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a}{d^3}\right)}^{1/3}}{2}+\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-\frac{2^{1/3}\,d\,{\left(-\frac{a}{d^3}\right)}^{1/3}}{2}+\frac{2^{1/3}\,\sqrt{3}\,d\,{\left(-\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a}{4\,d^3}\right)}^{1/3}","Not used",1,"log((a*(tan(c + d*x)*1i + 1))^(1/3) - d*(a/d^3)^(1/3))*(a/d^3)^(1/3) + log((a*(tan(c + d*x)*1i + 1))^(1/3) + 2^(1/3)*d*(-a/d^3)^(1/3))*(-a/(4*d^3))^(1/3) - log((2^(1/3)*d*(-a/d^3)^(1/3))/2 - (a*(tan(c + d*x)*1i + 1))^(1/3) + (2^(1/3)*3^(1/2)*d*(-a/d^3)^(1/3)*1i)/2)*((3^(1/2)*1i)/2 + 1/2)*(-a/(4*d^3))^(1/3) + (log(2*(a*(tan(c + d*x)*1i + 1))^(1/3) + d*(a/d^3)^(1/3) - 3^(1/2)*d*(a/d^3)^(1/3)*1i)*(3^(1/2)*1i - 1)*(a/d^3)^(1/3))/2 - (log(2*(a*(tan(c + d*x)*1i + 1))^(1/3) + d*(a/d^3)^(1/3) + 3^(1/2)*d*(a/d^3)^(1/3)*1i)*(3^(1/2)*1i + 1)*(a/d^3)^(1/3))/2 + log((a*(tan(c + d*x)*1i + 1))^(1/3) - (2^(1/3)*d*(-a/d^3)^(1/3))/2 + (2^(1/3)*3^(1/2)*d*(-a/d^3)^(1/3)*1i)/2)*((3^(1/2)*1i)/2 - 1/2)*(-a/(4*d^3))^(1/3)","B"
277,1,806,299,4.199678,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(1/3),x)","\ln\left(\left(\left(a^7\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,81{}\mathrm{i}-1458\,a^7\,d^6\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{2/3}+a^8\,d^3\,225{}\mathrm{i}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}+90\,a^8\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}+\ln\left(\left(\left(a^7\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,81{}\mathrm{i}-1458\,a^7\,d^6\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{2/3}+a^8\,d^3\,225{}\mathrm{i}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}+90\,a^8\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}+\frac{\ln\left(90\,a^8\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^8\,d^3\,225{}\mathrm{i}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^7\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,81{}\mathrm{i}-729\,a^7\,d^6\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(90\,a^8\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^8\,d^3\,225{}\mathrm{i}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^7\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,81{}\mathrm{i}+729\,a^7\,d^6\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a\,1{}\mathrm{i}}{4\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(90\,a^8\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^8\,d^3\,225{}\mathrm{i}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^7\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,81{}\mathrm{i}-729\,a^7\,d^6\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(90\,a^8\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^8\,d^3\,225{}\mathrm{i}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^7\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,81{}\mathrm{i}+729\,a^7\,d^6\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a\,1{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d\,\mathrm{tan}\left(c+d\,x\right)}","Not used",1,"log(((a^7*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*81i - 1458*a^7*d^6*((a*1i)/(4*d^3))^(1/3))*((a*1i)/(4*d^3))^(2/3) + a^8*d^3*225i)*((a*1i)/(4*d^3))^(1/3) + 90*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/3))*((a*1i)/(4*d^3))^(1/3) + log(((a^7*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*81i - 1458*a^7*d^6*(-(a*1i)/(27*d^3))^(1/3))*(-(a*1i)/(27*d^3))^(2/3) + a^8*d^3*225i)*(-(a*1i)/(27*d^3))^(1/3) + 90*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/3))*(-(a*1i)/(27*d^3))^(1/3) + (log(90*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/3) + ((3^(1/2)*1i - 1)*(a^8*d^3*225i + ((3^(1/2)*1i - 1)^2*(a^7*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*81i - 729*a^7*d^6*(3^(1/2)*1i - 1)*((a*1i)/(4*d^3))^(1/3))*((a*1i)/(4*d^3))^(2/3))/4)*((a*1i)/(4*d^3))^(1/3))/2)*(3^(1/2)*1i - 1)*((a*1i)/(4*d^3))^(1/3))/2 - (log(90*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i + 1)*(a^8*d^3*225i + ((3^(1/2)*1i + 1)^2*(a^7*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*81i + 729*a^7*d^6*(3^(1/2)*1i + 1)*((a*1i)/(4*d^3))^(1/3))*((a*1i)/(4*d^3))^(2/3))/4)*((a*1i)/(4*d^3))^(1/3))/2)*(3^(1/2)*1i + 1)*((a*1i)/(4*d^3))^(1/3))/2 + (log(90*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/3) + ((3^(1/2)*1i - 1)*(a^8*d^3*225i + ((3^(1/2)*1i - 1)^2*(a^7*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*81i - 729*a^7*d^6*(3^(1/2)*1i - 1)*(-(a*1i)/(27*d^3))^(1/3))*(-(a*1i)/(27*d^3))^(2/3))/4)*(-(a*1i)/(27*d^3))^(1/3))/2)*(3^(1/2)*1i - 1)*(-(a*1i)/(27*d^3))^(1/3))/2 - (log(90*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i + 1)*(a^8*d^3*225i + ((3^(1/2)*1i + 1)^2*(a^7*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*81i + 729*a^7*d^6*(3^(1/2)*1i + 1)*(-(a*1i)/(27*d^3))^(1/3))*(-(a*1i)/(27*d^3))^(2/3))/4)*(-(a*1i)/(27*d^3))^(1/3))/2)*(3^(1/2)*1i + 1)*(-(a*1i)/(27*d^3))^(1/3))/2 - (a + a*tan(c + d*x)*1i)^(1/3)/(d*tan(c + d*x))","B"
278,1,417,327,4.408419,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{8\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+d\,{\left(-\frac{a}{d^3}\right)}^{1/3}\right)\,{\left(-\frac{a}{d^3}\right)}^{1/3}}{9}+\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-2^{1/3}\,d\,{\left(\frac{a}{d^3}\right)}^{1/3}\right)\,{\left(\frac{a}{4\,d^3}\right)}^{1/3}+\frac{\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}{6}+\frac{a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{3}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2+a^2\,d-2\,a\,d\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{4\,\ln\left(d\,{\left(-\frac{a}{d^3}\right)}^{1/3}-2\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\sqrt{3}\,d\,{\left(-\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a}{d^3}\right)}^{1/3}}{9}+\frac{4\,\ln\left(2\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-d\,{\left(-\frac{a}{d^3}\right)}^{1/3}+\sqrt{3}\,d\,{\left(-\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a}{d^3}\right)}^{1/3}}{9}+\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\frac{2^{1/3}\,d\,{\left(\frac{a}{d^3}\right)}^{1/3}}{2}-\frac{2^{1/3}\,\sqrt{3}\,d\,{\left(\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{a}{4\,d^3}\right)}^{1/3}-\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\frac{2^{1/3}\,d\,{\left(\frac{a}{d^3}\right)}^{1/3}}{2}+\frac{2^{1/3}\,\sqrt{3}\,d\,{\left(\frac{a}{d^3}\right)}^{1/3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{a}{4\,d^3}\right)}^{1/3}","Not used",1,"(8*log((a*(tan(c + d*x)*1i + 1))^(1/3) + d*(-a/d^3)^(1/3))*(-a/d^3)^(1/3))/9 + log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*d*(a/d^3)^(1/3))*(a/(4*d^3))^(1/3) + ((a*(a + a*tan(c + d*x)*1i)^(4/3))/6 + (a^2*(a + a*tan(c + d*x)*1i)^(1/3))/3)/(d*(a + a*tan(c + d*x)*1i)^2 + a^2*d - 2*a*d*(a + a*tan(c + d*x)*1i)) - (4*log(d*(-a/d^3)^(1/3) - 2*(a*(tan(c + d*x)*1i + 1))^(1/3) + 3^(1/2)*d*(-a/d^3)^(1/3)*1i)*(3^(1/2)*1i + 1)*(-a/d^3)^(1/3))/9 + (4*log(2*(a*(tan(c + d*x)*1i + 1))^(1/3) - d*(-a/d^3)^(1/3) + 3^(1/2)*d*(-a/d^3)^(1/3)*1i)*(3^(1/2)*1i - 1)*(-a/d^3)^(1/3))/9 + log((a*(tan(c + d*x)*1i + 1))^(1/3) + (2^(1/3)*d*(a/d^3)^(1/3))/2 - (2^(1/3)*3^(1/2)*d*(a/d^3)^(1/3)*1i)/2)*((3^(1/2)*1i)/2 - 1/2)*(a/(4*d^3))^(1/3) - log((a*(tan(c + d*x)*1i + 1))^(1/3) + (2^(1/3)*d*(a/d^3)^(1/3))/2 + (2^(1/3)*3^(1/2)*d*(a/d^3)^(1/3)*1i)/2)*((3^(1/2)*1i)/2 + 1/2)*(a/(4*d^3))^(1/3)","B"
279,1,171,156,4.558344,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(2/3),x)","-\frac{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,a^{2/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}\right)}{d}+\frac{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,a^{2/3}\,\ln\left(-\frac{9\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{7/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}-\frac{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,a^{2/3}\,\ln\left(-\frac{9\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}+\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{7/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"((1i/2)^(1/3)*a^(2/3)*log(- (9*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (9*(-1)^(1/3)*2^(1/3)*a^(7/3)*(3^(1/2)*1i - 1))/(2*d^2))*((3^(1/2)*1i)/2 + 1/2))/d - ((1i/2)^(1/3)*a^(2/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) + (-1)^(1/3)*2^(1/3)*a^(1/3)))/d - ((1i/2)^(1/3)*a^(2/3)*log((9*(-1)^(1/3)*2^(1/3)*a^(7/3)*(3^(1/2)*1i + 1))/(2*d^2) - (9*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2)*((3^(1/2)*1i)/2 - 1/2))/d","B"
280,1,243,251,4.384960,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(4/3),x)","-\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}{4\,d}+\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/3}}{7\,a\,d}-\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{10/3}}{10\,a^2\,d}-\frac{3\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}-\frac{2^{1/3}\,a^{4/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-2^{1/3}\,a^{1/3}\right)}{d}-\frac{2^{1/3}\,a^{4/3}\,\ln\left(\frac{18\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}-\frac{9\,2^{1/3}\,a^{7/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{d}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}+\frac{2^{1/3}\,a^{4/3}\,\ln\left(\frac{18\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{9\,2^{1/3}\,a^{7/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{d}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(3*(a + a*tan(c + d*x)*1i)^(7/3))/(7*a*d) - (3*(a + a*tan(c + d*x)*1i)^(4/3))/(4*d) - (3*(a + a*tan(c + d*x)*1i)^(10/3))/(10*a^2*d) - (3*a*(a + a*tan(c + d*x)*1i)^(1/3))/d - (2^(1/3)*a^(4/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*a^(1/3)))/d - (2^(1/3)*a^(4/3)*log((18*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d - (9*2^(1/3)*a^(7/3)*(3^(1/2)*1i - 1))/d)*((3^(1/2)*1i)/2 - 1/2))/d + (2^(1/3)*a^(4/3)*log((18*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d + (9*2^(1/3)*a^(7/3)*(3^(1/2)*1i + 1))/d)*((3^(1/2)*1i)/2 + 1/2))/d","B"
281,1,218,203,4.065138,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(4/3),x)","-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/3}\,3{}\mathrm{i}}{7\,a\,d}-\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,3{}\mathrm{i}}{d}+\frac{{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,18{}\mathrm{i}+18\,{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{7/3}\,d^2\right)}{d}+\frac{{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,18{}\mathrm{i}+18\,{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{7/3}\,d^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}-\frac{{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,18{}\mathrm{i}-18\,{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{7/3}\,d^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(2i^(1/3)*a^(4/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*18i + 18*2i^(1/3)*a^(7/3)*d^2))/d - (a*(a + a*tan(c + d*x)*1i)^(1/3)*3i)/d - ((a + a*tan(c + d*x)*1i)^(7/3)*3i)/(7*a*d) + (2i^(1/3)*a^(4/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*18i + 18*2i^(1/3)*a^(7/3)*d^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/d - (2i^(1/3)*a^(4/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*18i - 18*2i^(1/3)*a^(7/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/d","B"
282,1,198,192,4.318173,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(4/3),x)","\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}{4\,d}+\frac{3\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{2^{1/3}\,a^{4/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-2^{1/3}\,a^{1/3}\right)}{d}+\frac{2^{1/3}\,a^{4/3}\,\ln\left(\frac{18\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}-\frac{9\,2^{1/3}\,a^{7/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{d}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}-\frac{2^{1/3}\,a^{4/3}\,\ln\left(\frac{18\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{9\,2^{1/3}\,a^{7/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{d}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(3*(a + a*tan(c + d*x)*1i)^(4/3))/(4*d) + (3*a*(a + a*tan(c + d*x)*1i)^(1/3))/d + (2^(1/3)*a^(4/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*a^(1/3)))/d + (2^(1/3)*a^(4/3)*log((18*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d - (9*2^(1/3)*a^(7/3)*(3^(1/2)*1i - 1))/d)*((3^(1/2)*1i)/2 - 1/2))/d - (2^(1/3)*a^(4/3)*log((18*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d + (9*2^(1/3)*a^(7/3)*(3^(1/2)*1i + 1))/d)*((3^(1/2)*1i)/2 + 1/2))/d","B"
283,1,195,175,3.986934,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(4/3),x)","\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,3{}\mathrm{i}}{d}-\frac{{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,18{}\mathrm{i}+18\,{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{7/3}\,d^2\right)}{d}-\frac{{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,18{}\mathrm{i}+18\,{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{7/3}\,d^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}+\frac{{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{4/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,18{}\mathrm{i}-18\,{\left(2{}\mathrm{i}\right)}^{1/3}\,a^{7/3}\,d^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(a*(a + a*tan(c + d*x)*1i)^(1/3)*3i)/d - (2i^(1/3)*a^(4/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*18i + 18*2i^(1/3)*a^(7/3)*d^2))/d - (2i^(1/3)*a^(4/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*18i + 18*2i^(1/3)*a^(7/3)*d^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/d + (2i^(1/3)*a^(4/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*18i - 18*2i^(1/3)*a^(7/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/d","B"
284,1,369,254,4.303055,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(4/3),x)","\ln\left(-d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}+a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}\right)\,{\left(\frac{a^4}{d^3}\right)}^{1/3}+\ln\left(a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+2^{1/3}\,d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}\right)\,{\left(-\frac{2\,a^4}{d^3}\right)}^{1/3}+\frac{\ln\left(d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}+2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-\sqrt{3}\,d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a^4}{d^3}\right)}^{1/3}}{2}-\frac{\ln\left(d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}+2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\sqrt{3}\,d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a^4}{d^3}\right)}^{1/3}}{2}-\ln\left(2^{1/3}\,d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}-2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+2^{1/3}\,\sqrt{3}\,d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{2\,a^4}{d^3}\right)}^{1/3}+\ln\left(2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-2^{1/3}\,d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}+2^{1/3}\,\sqrt{3}\,d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{2\,a^4}{d^3}\right)}^{1/3}","Not used",1,"log(a*(a*(tan(c + d*x)*1i + 1))^(1/3) - d*(a^4/d^3)^(1/3))*(a^4/d^3)^(1/3) + log(a*(a*(tan(c + d*x)*1i + 1))^(1/3) + 2^(1/3)*d*(-a^4/d^3)^(1/3))*(-(2*a^4)/d^3)^(1/3) + (log(d*(a^4/d^3)^(1/3) + 2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) - 3^(1/2)*d*(a^4/d^3)^(1/3)*1i)*(3^(1/2)*1i - 1)*(a^4/d^3)^(1/3))/2 - (log(d*(a^4/d^3)^(1/3) + 2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) + 3^(1/2)*d*(a^4/d^3)^(1/3)*1i)*(3^(1/2)*1i + 1)*(a^4/d^3)^(1/3))/2 - log(2^(1/3)*d*(-a^4/d^3)^(1/3) - 2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) + 2^(1/3)*3^(1/2)*d*(-a^4/d^3)^(1/3)*1i)*((3^(1/2)*1i)/2 + 1/2)*(-(2*a^4)/d^3)^(1/3) + log(2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*d*(-a^4/d^3)^(1/3) + 2^(1/3)*3^(1/2)*d*(-a^4/d^3)^(1/3)*1i)*((3^(1/2)*1i)/2 - 1/2)*(-(2*a^4)/d^3)^(1/3)","B"
285,1,855,315,0.527785,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(4/3),x)","\ln\left(\left(\left(1458\,a^7\,d^6\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}-a^8\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,810{}\mathrm{i}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{2/3}-a^{11}\,d^3\,792{}\mathrm{i}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}-3744\,a^{12}\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}+\ln\left(\left(\left(1458\,a^7\,d^6\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}-a^8\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,810{}\mathrm{i}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{2/3}-a^{11}\,d^3\,792{}\mathrm{i}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}-3744\,a^{12}\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}+\frac{\ln\left(3744\,a^{12}\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^{11}\,d^3\,792{}\mathrm{i}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^8\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,810{}\mathrm{i}-729\,a^7\,d^6\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}-\frac{\ln\left(3744\,a^{12}\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^{11}\,d^3\,792{}\mathrm{i}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^8\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,810{}\mathrm{i}+729\,a^7\,d^6\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{a^4\,2{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}+\frac{\ln\left(3744\,a^{12}\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^{11}\,d^3\,792{}\mathrm{i}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^8\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,810{}\mathrm{i}-729\,a^7\,d^6\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(3744\,a^{12}\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^{11}\,d^3\,792{}\mathrm{i}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^8\,d^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,810{}\mathrm{i}+729\,a^7\,d^6\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a^4\,64{}\mathrm{i}}{27\,d^3}\right)}^{1/3}}{2}-\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d\,\mathrm{tan}\left(c+d\,x\right)}","Not used",1,"log(((1458*a^7*d^6*((a^4*2i)/d^3)^(1/3) - a^8*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*810i)*((a^4*2i)/d^3)^(2/3) - a^11*d^3*792i)*((a^4*2i)/d^3)^(1/3) - 3744*a^12*d^2*(a + a*tan(c + d*x)*1i)^(1/3))*((a^4*2i)/d^3)^(1/3) + log(((1458*a^7*d^6*(-(a^4*64i)/(27*d^3))^(1/3) - a^8*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*810i)*(-(a^4*64i)/(27*d^3))^(2/3) - a^11*d^3*792i)*(-(a^4*64i)/(27*d^3))^(1/3) - 3744*a^12*d^2*(a + a*tan(c + d*x)*1i)^(1/3))*(-(a^4*64i)/(27*d^3))^(1/3) + (log(3744*a^12*d^2*(a + a*tan(c + d*x)*1i)^(1/3) + ((3^(1/2)*1i - 1)*(a^11*d^3*792i + ((3^(1/2)*1i - 1)^2*(a^8*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*810i - 729*a^7*d^6*(3^(1/2)*1i - 1)*((a^4*2i)/d^3)^(1/3))*((a^4*2i)/d^3)^(2/3))/4)*((a^4*2i)/d^3)^(1/3))/2)*(3^(1/2)*1i - 1)*((a^4*2i)/d^3)^(1/3))/2 - (log(3744*a^12*d^2*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i + 1)*(a^11*d^3*792i + ((3^(1/2)*1i + 1)^2*(a^8*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*810i + 729*a^7*d^6*(3^(1/2)*1i + 1)*((a^4*2i)/d^3)^(1/3))*((a^4*2i)/d^3)^(2/3))/4)*((a^4*2i)/d^3)^(1/3))/2)*(3^(1/2)*1i + 1)*((a^4*2i)/d^3)^(1/3))/2 + (log(3744*a^12*d^2*(a + a*tan(c + d*x)*1i)^(1/3) + ((3^(1/2)*1i - 1)*(a^11*d^3*792i + ((3^(1/2)*1i - 1)^2*(a^8*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*810i - 729*a^7*d^6*(3^(1/2)*1i - 1)*(-(a^4*64i)/(27*d^3))^(1/3))*(-(a^4*64i)/(27*d^3))^(2/3))/4)*(-(a^4*64i)/(27*d^3))^(1/3))/2)*(3^(1/2)*1i - 1)*(-(a^4*64i)/(27*d^3))^(1/3))/2 - (log(3744*a^12*d^2*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i + 1)*(a^11*d^3*792i + ((3^(1/2)*1i + 1)^2*(a^8*d^5*(a + a*tan(c + d*x)*1i)^(1/3)*810i + 729*a^7*d^6*(3^(1/2)*1i + 1)*(-(a^4*64i)/(27*d^3))^(1/3))*(-(a^4*64i)/(27*d^3))^(2/3))/4)*(-(a^4*64i)/(27*d^3))^(1/3))/2)*(3^(1/2)*1i + 1)*(-(a^4*64i)/(27*d^3))^(1/3))/2 - (a*(a + a*tan(c + d*x)*1i)^(1/3))/(d*tan(c + d*x))","B"
286,1,460,321,4.405676,"\text{Not used}","int(cot(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(4/3),x)","-\frac{\frac{2\,a^3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{3}-\frac{7\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}{6}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2+a^2\,d-2\,a\,d\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}+\frac{11\,\ln\left(d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}+a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}\right)\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}}{9}+\ln\left(a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-2^{1/3}\,d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}\right)\,{\left(\frac{2\,a^4}{d^3}\right)}^{1/3}-\frac{11\,\ln\left(d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}-2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\sqrt{3}\,d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}}{18}+\frac{11\,\ln\left(-d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}+2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\sqrt{3}\,d\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a^4}{d^3}\right)}^{1/3}}{18}+\ln\left(2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+2^{1/3}\,d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}-2^{1/3}\,\sqrt{3}\,d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{2\,a^4}{d^3}\right)}^{1/3}-\ln\left(2\,a\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+2^{1/3}\,d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}+2^{1/3}\,\sqrt{3}\,d\,{\left(\frac{a^4}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{2\,a^4}{d^3}\right)}^{1/3}","Not used",1,"(11*log(d*(-a^4/d^3)^(1/3) + a*(a*(tan(c + d*x)*1i + 1))^(1/3))*(-a^4/d^3)^(1/3))/9 - ((2*a^3*(a + a*tan(c + d*x)*1i)^(1/3))/3 - (7*a^2*(a + a*tan(c + d*x)*1i)^(4/3))/6)/(d*(a + a*tan(c + d*x)*1i)^2 + a^2*d - 2*a*d*(a + a*tan(c + d*x)*1i)) + log(a*(a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*d*(a^4/d^3)^(1/3))*((2*a^4)/d^3)^(1/3) - (11*log(d*(-a^4/d^3)^(1/3) - 2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) + 3^(1/2)*d*(-a^4/d^3)^(1/3)*1i)*(3^(1/2)*1i + 1)*(-a^4/d^3)^(1/3))/18 + (11*log(2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) - d*(-a^4/d^3)^(1/3) + 3^(1/2)*d*(-a^4/d^3)^(1/3)*1i)*(3^(1/2)*1i - 1)*(-a^4/d^3)^(1/3))/18 + log(2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) + 2^(1/3)*d*(a^4/d^3)^(1/3) - 2^(1/3)*3^(1/2)*d*(a^4/d^3)^(1/3)*1i)*((3^(1/2)*1i)/2 - 1/2)*((2*a^4)/d^3)^(1/3) - log(2*a*(a*(tan(c + d*x)*1i + 1))^(1/3) + 2^(1/3)*d*(a^4/d^3)^(1/3) + 2^(1/3)*3^(1/2)*d*(a^4/d^3)^(1/3)*1i)*((3^(1/2)*1i)/2 + 1/2)*((2*a^4)/d^3)^(1/3)","B"
287,1,208,177,4.544169,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/3),x)","\frac{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}\,3{}\mathrm{i}}{2\,d}+\frac{{\left(4{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{5/3}\,\ln\left(36\,a^4\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-36\,{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{13/3}\right)}{d}-\frac{{\left(4{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{5/3}\,\ln\left(-\frac{36\,a^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}+\frac{18\,{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{13/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}+\frac{{\left(4{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{5/3}\,\ln\left(-\frac{36\,a^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{18\,{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{13/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(a*(a + a*tan(c + d*x)*1i)^(2/3)*3i)/(2*d) + (4i^(1/3)*(-a)^(5/3)*log(36*a^4*(a*(tan(c + d*x)*1i + 1))^(1/3) - 36*(-1)^(1/3)*2^(1/3)*(-a)^(13/3)))/d - (4i^(1/3)*(-a)^(5/3)*log((18*(-1)^(1/3)*2^(1/3)*(-a)^(13/3)*(3^(1/2)*1i - 1))/d^2 - (36*a^4*(a + a*tan(c + d*x)*1i)^(1/3))/d^2)*((3^(1/2)*1i)/2 + 1/2))/d + (4i^(1/3)*(-a)^(5/3)*log(- (36*a^4*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (18*(-1)^(1/3)*2^(1/3)*(-a)^(13/3)*(3^(1/2)*1i + 1))/d^2)*((3^(1/2)*1i)/2 - 1/2))/d","B"
288,0,-1,83,0.000000,"\text{Not used}","int(tan(c + d*x)^m/(a + a*tan(c + d*x)*1i)^(1/3),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}} \,d x","Not used",1,"int(tan(c + d*x)^m/(a + a*tan(c + d*x)*1i)^(1/3), x)","F"
289,0,-1,81,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(1/3),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(1/3), x)","F"
290,1,266,282,4.625288,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{3{}\mathrm{i}}{2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}\,3{}\mathrm{i}}{a\,d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/3}\,6{}\mathrm{i}}{5\,a^2\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{8/3}\,3{}\mathrm{i}}{8\,a^3\,d}+\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{1/3}\right)}{{\left(-a\right)}^{1/3}\,d}-\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{4\,d^2}+\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{8\,d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{1/3}\,d}+\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{4\,d^2}-\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{8\,d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{1/3}\,d}","Not used",1,"3i/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) + ((a + a*tan(c + d*x)*1i)^(2/3)*3i)/(a*d) - ((a + a*tan(c + d*x)*1i)^(5/3)*6i)/(5*a^2*d) + ((a + a*tan(c + d*x)*1i)^(8/3)*3i)/(8*a^3*d) + ((1i/16)^(1/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - (-1)^(1/3)*2^(1/3)*(-a)^(1/3)))/((-a)^(1/3)*d) - ((1i/16)^(1/3)*log((9*(-1)^(1/3)*2^(1/3)*(-a)^(1/3)*(3^(1/2)*1i - 1))/(8*d^2) - (9*(a + a*tan(c + d*x)*1i)^(1/3))/(4*d^2))*((3^(1/2)*1i)/2 + 1/2))/((-a)^(1/3)*d) + ((1i/16)^(1/3)*log(- (9*(a + a*tan(c + d*x)*1i)^(1/3))/(4*d^2) - (9*(-1)^(1/3)*2^(1/3)*(-a)^(1/3)*(3^(1/2)*1i + 1))/(8*d^2))*((3^(1/2)*1i)/2 - 1/2))/((-a)^(1/3)*d)","B"
291,1,228,237,0.361808,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{3}{2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}+\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}{2\,a\,d}-\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/3}}{5\,a^2\,d}+\frac{4^{1/3}\,\ln\left(18\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+9\,4^{2/3}\,{\left(-a\right)}^{1/3}\,d\right)}{4\,{\left(-a\right)}^{1/3}\,d}+\frac{4^{1/3}\,\ln\left(18\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+144\,4^{2/3}\,{\left(-a\right)}^{1/3}\,d\,{\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2\right)\,\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}{{\left(-a\right)}^{1/3}\,d}-\frac{4^{1/3}\,\ln\left(18\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+144\,4^{2/3}\,{\left(-a\right)}^{1/3}\,d\,{\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2\right)\,\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}{{\left(-a\right)}^{1/3}\,d}","Not used",1,"3/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) + (3*(a + a*tan(c + d*x)*1i)^(2/3))/(2*a*d) - (3*(a + a*tan(c + d*x)*1i)^(5/3))/(5*a^2*d) + (4^(1/3)*log(18*d*(a + a*tan(c + d*x)*1i)^(1/3) + 9*4^(2/3)*(-a)^(1/3)*d))/(4*(-a)^(1/3)*d) + (4^(1/3)*log(18*d*(a + a*tan(c + d*x)*1i)^(1/3) + 144*4^(2/3)*(-a)^(1/3)*d*((3^(1/2)*1i)/8 - 1/8)^2)*((3^(1/2)*1i)/8 - 1/8))/((-a)^(1/3)*d) - (4^(1/3)*log(18*d*(a + a*tan(c + d*x)*1i)^(1/3) + 144*4^(2/3)*(-a)^(1/3)*d*((3^(1/2)*1i)/8 + 1/8)^2)*((3^(1/2)*1i)/8 + 1/8))/((-a)^(1/3)*d)","B"
292,1,210,213,4.476767,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(1/3),x)","-\frac{3{}\mathrm{i}}{2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}\,3{}\mathrm{i}}{2\,a\,d}+\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left(9\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}\right)}{a^{1/3}\,d}-\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{4\,d^2}-\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{8\,d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{1/3}\,d}+\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{4\,d^2}+\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{8\,d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{1/3}\,d}","Not used",1,"((1i/16)^(1/3)*log(9*(a*(tan(c + d*x)*1i + 1))^(1/3) + 9*(-1)^(1/3)*2^(1/3)*a^(1/3)))/(a^(1/3)*d) - ((a + a*tan(c + d*x)*1i)^(2/3)*3i)/(2*a*d) - 3i/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) - ((1i/16)^(1/3)*log(- (9*(a + a*tan(c + d*x)*1i)^(1/3))/(4*d^2) - (9*(-1)^(1/3)*2^(1/3)*a^(1/3)*(3^(1/2)*1i - 1))/(8*d^2))*((3^(1/2)*1i)/2 + 1/2))/(a^(1/3)*d) + ((1i/16)^(1/3)*log((9*(-1)^(1/3)*2^(1/3)*a^(1/3)*(3^(1/2)*1i + 1))/(8*d^2) - (9*(a + a*tan(c + d*x)*1i)^(1/3))/(4*d^2))*((3^(1/2)*1i)/2 - 1/2))/(a^(1/3)*d)","B"
293,1,172,178,0.241216,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^(1/3),x)","-\frac{3}{2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}+\frac{4^{1/3}\,\ln\left(18\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-9\,4^{2/3}\,a^{1/3}\,d\right)}{4\,a^{1/3}\,d}+\frac{4^{1/3}\,\ln\left(18\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-144\,4^{2/3}\,a^{1/3}\,d\,{\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2\right)\,\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}{a^{1/3}\,d}-\frac{4^{1/3}\,\ln\left(18\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-144\,4^{2/3}\,a^{1/3}\,d\,{\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2\right)\,\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}{a^{1/3}\,d}","Not used",1,"(4^(1/3)*log(18*d*(a + a*tan(c + d*x)*1i)^(1/3) - 9*4^(2/3)*a^(1/3)*d))/(4*a^(1/3)*d) - 3/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) + (4^(1/3)*log(18*d*(a + a*tan(c + d*x)*1i)^(1/3) - 144*4^(2/3)*a^(1/3)*d*((3^(1/2)*1i)/8 - 1/8)^2)*((3^(1/2)*1i)/8 - 1/8))/(a^(1/3)*d) - (4^(1/3)*log(18*d*(a + a*tan(c + d*x)*1i)^(1/3) - 144*4^(2/3)*a^(1/3)*d*((3^(1/2)*1i)/8 + 1/8)^2)*((3^(1/2)*1i)/8 + 1/8))/(a^(1/3)*d)","B"
294,1,197,184,4.391280,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{3{}\mathrm{i}}{2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}+\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{1/3}\right)}{{\left(-a\right)}^{1/3}\,d}-\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{4\,d^2}+\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{8\,d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{1/3}\,d}+\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{4\,d^2}-\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,{\left(-a\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{8\,d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{1/3}\,d}","Not used",1,"3i/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) + ((1i/16)^(1/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - (-1)^(1/3)*2^(1/3)*(-a)^(1/3)))/((-a)^(1/3)*d) - ((1i/16)^(1/3)*log((9*(-1)^(1/3)*2^(1/3)*(-a)^(1/3)*(3^(1/2)*1i - 1))/(8*d^2) - (9*(a + a*tan(c + d*x)*1i)^(1/3))/(4*d^2))*((3^(1/2)*1i)/2 + 1/2))/((-a)^(1/3)*d) + ((1i/16)^(1/3)*log(- (9*(a + a*tan(c + d*x)*1i)^(1/3))/(4*d^2) - (9*(-1)^(1/3)*2^(1/3)*(-a)^(1/3)*(3^(1/2)*1i + 1))/(8*d^2))*((3^(1/2)*1i)/2 - 1/2))/((-a)^(1/3)*d)","B"
295,1,559,286,0.248034,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{3}{2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}+\ln\left(\left(746496\,a^7\,d^9\,{\left(\frac{1}{a\,d^3}\right)}^{2/3}-528768\,a^6\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{1}{a\,d^3}\right)}^{1/3}-217728\,a^6\,d^6\right)\,{\left(\frac{1}{a\,d^3}\right)}^{1/3}+\ln\left(\left(746496\,a^7\,d^9\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{2/3}-528768\,a^6\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{1/3}-217728\,a^6\,d^6\right)\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{1/3}+\frac{\ln\left(217728\,a^6\,d^6+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(528768\,a^6\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-186624\,a^7\,d^9\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{a\,d^3}\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(217728\,a^6\,d^6-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(528768\,a^6\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-186624\,a^7\,d^9\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{a\,d^3}\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a\,d^3}\right)}^{1/3}}{2}+\ln\left(217728\,a^6\,d^6+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(528768\,a^6\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-746496\,a^7\,d^9\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{1/3}-\ln\left(217728\,a^6\,d^6-\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(528768\,a^6\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-746496\,a^7\,d^9\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{16\,a\,d^3}\right)}^{1/3}","Not used",1,"3/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) + log((746496*a^7*d^9*(1/(a*d^3))^(2/3) - 528768*a^6*d^7*(a + a*tan(c + d*x)*1i)^(1/3))*(1/(a*d^3))^(1/3) - 217728*a^6*d^6)*(1/(a*d^3))^(1/3) + log((746496*a^7*d^9*(-1/(16*a*d^3))^(2/3) - 528768*a^6*d^7*(a + a*tan(c + d*x)*1i)^(1/3))*(-1/(16*a*d^3))^(1/3) - 217728*a^6*d^6)*(-1/(16*a*d^3))^(1/3) + (log(217728*a^6*d^6 + ((3^(1/2)*1i - 1)*(528768*a^6*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 186624*a^7*d^9*(3^(1/2)*1i - 1)^2*(1/(a*d^3))^(2/3))*(1/(a*d^3))^(1/3))/2)*(3^(1/2)*1i - 1)*(1/(a*d^3))^(1/3))/2 - (log(217728*a^6*d^6 - ((3^(1/2)*1i + 1)*(528768*a^6*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 186624*a^7*d^9*(3^(1/2)*1i + 1)^2*(1/(a*d^3))^(2/3))*(1/(a*d^3))^(1/3))/2)*(3^(1/2)*1i + 1)*(1/(a*d^3))^(1/3))/2 + log(217728*a^6*d^6 + ((3^(1/2)*1i)/2 - 1/2)*(528768*a^6*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 746496*a^7*d^9*((3^(1/2)*1i)/2 - 1/2)^2*(-1/(16*a*d^3))^(2/3))*(-1/(16*a*d^3))^(1/3))*((3^(1/2)*1i)/2 - 1/2)*(-1/(16*a*d^3))^(1/3) - log(217728*a^6*d^6 - ((3^(1/2)*1i)/2 + 1/2)*(528768*a^6*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 746496*a^7*d^9*((3^(1/2)*1i)/2 + 1/2)^2*(-1/(16*a*d^3))^(2/3))*(-1/(16*a*d^3))^(1/3))*((3^(1/2)*1i)/2 + 1/2)*(-1/(16*a*d^3))^(1/3)","B"
296,1,887,327,4.568927,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(1/3),x)","\ln\left(-\left(\left(5832\,a^7\,d^6\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{2/3}+675\,a^6\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{1/3}-a^6\,d^3\,315{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{2/3}+a^5\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{1/3}+\ln\left(-\left(\left(5832\,a^7\,d^6\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{2/3}+675\,a^6\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{1/3}-a^6\,d^3\,315{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{2/3}+a^5\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{1/3}+\frac{\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{2\,d}-\frac{a\,3{}\mathrm{i}}{2\,d}}{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}+\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^6\,d^3\,315{}\mathrm{i}-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(675\,a^6\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+1458\,a^7\,d^6\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{2/3}}{4}+a^5\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^6\,d^3\,315{}\mathrm{i}+\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(675\,a^6\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+1458\,a^7\,d^6\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{2/3}}{4}+a^5\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{16\,a\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^6\,d^3\,315{}\mathrm{i}-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(675\,a^6\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+1458\,a^7\,d^6\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{2/3}}{4}+a^5\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^6\,d^3\,315{}\mathrm{i}+\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(675\,a^6\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+1458\,a^7\,d^6\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{2/3}}{4}+a^5\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{27\,a\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(a^5*d*(a + a*tan(c + d*x)*1i)^(1/3)*36i - ((5832*a^7*d^6*(1i/(16*a*d^3))^(2/3) + 675*a^6*d^4*(a + a*tan(c + d*x)*1i)^(1/3))*(1i/(16*a*d^3))^(1/3) - a^6*d^3*315i)*(1i/(16*a*d^3))^(2/3))*(1i/(16*a*d^3))^(1/3) + log(a^5*d*(a + a*tan(c + d*x)*1i)^(1/3)*36i - ((5832*a^7*d^6*(1i/(27*a*d^3))^(2/3) + 675*a^6*d^4*(a + a*tan(c + d*x)*1i)^(1/3))*(1i/(27*a*d^3))^(1/3) - a^6*d^3*315i)*(1i/(27*a*d^3))^(2/3))*(1i/(27*a*d^3))^(1/3) + (((a + a*tan(c + d*x)*1i)*5i)/(2*d) - (a*3i)/(2*d))/(a*(a + a*tan(c + d*x)*1i)^(1/3) - (a + a*tan(c + d*x)*1i)^(4/3)) + (log(((3^(1/2)*1i - 1)^2*(a^6*d^3*315i - ((3^(1/2)*1i - 1)*(675*a^6*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 1458*a^7*d^6*(3^(1/2)*1i - 1)^2*(1i/(16*a*d^3))^(2/3))*(1i/(16*a*d^3))^(1/3))/2)*(1i/(16*a*d^3))^(2/3))/4 + a^5*d*(a + a*tan(c + d*x)*1i)^(1/3)*36i)*(3^(1/2)*1i - 1)*(1i/(16*a*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(a^6*d^3*315i + ((3^(1/2)*1i + 1)*(675*a^6*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 1458*a^7*d^6*(3^(1/2)*1i + 1)^2*(1i/(16*a*d^3))^(2/3))*(1i/(16*a*d^3))^(1/3))/2)*(1i/(16*a*d^3))^(2/3))/4 + a^5*d*(a + a*tan(c + d*x)*1i)^(1/3)*36i)*(3^(1/2)*1i + 1)*(1i/(16*a*d^3))^(1/3))/2 + (log(((3^(1/2)*1i - 1)^2*(a^6*d^3*315i - ((3^(1/2)*1i - 1)*(675*a^6*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 1458*a^7*d^6*(3^(1/2)*1i - 1)^2*(1i/(27*a*d^3))^(2/3))*(1i/(27*a*d^3))^(1/3))/2)*(1i/(27*a*d^3))^(2/3))/4 + a^5*d*(a + a*tan(c + d*x)*1i)^(1/3)*36i)*(3^(1/2)*1i - 1)*(1i/(27*a*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(a^6*d^3*315i + ((3^(1/2)*1i + 1)*(675*a^6*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 1458*a^7*d^6*(3^(1/2)*1i + 1)^2*(1i/(27*a*d^3))^(2/3))*(1i/(27*a*d^3))^(1/3))/2)*(1i/(27*a*d^3))^(2/3))/4 + a^5*d*(a + a*tan(c + d*x)*1i)^(1/3)*36i)*(3^(1/2)*1i + 1)*(1i/(27*a*d^3))^(1/3))/2","B"
297,1,190,184,0.215055,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(2/3),x)","\frac{3{}\mathrm{i}}{4\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}-\frac{{\left(\frac{1}{32}{}\mathrm{i}\right)}^{1/3}\,\ln\left(d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}+144\,{\left(\frac{1}{32}{}\mathrm{i}\right)}^{1/3}\,a^{1/3}\,d^2\right)}{a^{2/3}\,d}-\frac{{\left(\frac{1}{32}{}\mathrm{i}\right)}^{1/3}\,\ln\left(d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}+144\,{\left(\frac{1}{32}{}\mathrm{i}\right)}^{1/3}\,a^{1/3}\,d^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{2/3}\,d}+\frac{{\left(\frac{1}{32}{}\mathrm{i}\right)}^{1/3}\,\ln\left(d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,36{}\mathrm{i}-144\,{\left(\frac{1}{32}{}\mathrm{i}\right)}^{1/3}\,a^{1/3}\,d^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{2/3}\,d}","Not used",1,"3i/(4*d*(a + a*tan(c + d*x)*1i)^(2/3)) - ((1i/32)^(1/3)*log(d^2*(a + a*tan(c + d*x)*1i)^(1/3)*36i + 144*(1i/32)^(1/3)*a^(1/3)*d^2))/(a^(2/3)*d) - ((1i/32)^(1/3)*log(d^2*(a + a*tan(c + d*x)*1i)^(1/3)*36i + 144*(1i/32)^(1/3)*a^(1/3)*d^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(a^(2/3)*d) + ((1i/32)^(1/3)*log(d^2*(a + a*tan(c + d*x)*1i)^(1/3)*36i - 144*(1i/32)^(1/3)*a^(1/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(a^(2/3)*d)","B"
298,0,-1,86,0.000000,"\text{Not used}","int(tan(c + d*x)^m/(a + a*tan(c + d*x)*1i)^(4/3),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}} \,d x","Not used",1,"int(tan(c + d*x)^m/(a + a*tan(c + d*x)*1i)^(4/3), x)","F"
299,0,-1,84,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(4/3),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(4/3), x)","F"
300,1,263,282,4.535624,"\text{Not used}","int(tan(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(4/3),x)","\frac{\frac{3{}\mathrm{i}}{8\,d}-\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,21{}\mathrm{i}}{4\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}\,3{}\mathrm{i}}{a^2\,d}+\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/3}\,3{}\mathrm{i}}{5\,a^3\,d}-\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(9\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}\right)}{a^{4/3}\,d}+\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{16\,a^2\,d^2}-\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{32\,a^{5/3}\,d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}\,d}-\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{16\,a^2\,d^2}+\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{32\,a^{5/3}\,d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}\,d}","Not used",1,"(3i/(8*d) - ((a + a*tan(c + d*x)*1i)*21i)/(4*a*d))/(a + a*tan(c + d*x)*1i)^(4/3) - ((a + a*tan(c + d*x)*1i)^(2/3)*3i)/(a^2*d) + ((a + a*tan(c + d*x)*1i)^(5/3)*3i)/(5*a^3*d) - ((1i/128)^(1/3)*log(9*(a*(tan(c + d*x)*1i + 1))^(1/3) + 9*(-1)^(1/3)*2^(1/3)*a^(1/3)))/(a^(4/3)*d) + ((1i/128)^(1/3)*log(- (9*(a + a*tan(c + d*x)*1i)^(1/3))/(16*a^2*d^2) - (9*(-1)^(1/3)*2^(1/3)*(3^(1/2)*1i - 1))/(32*a^(5/3)*d^2))*((3^(1/2)*1i)/2 + 1/2))/(a^(4/3)*d) - ((1i/128)^(1/3)*log((9*(-1)^(1/3)*2^(1/3)*(3^(1/2)*1i + 1))/(32*a^(5/3)*d^2) - (9*(a + a*tan(c + d*x)*1i)^(1/3))/(16*a^2*d^2))*((3^(1/2)*1i)/2 - 1/2))/(a^(4/3)*d)","B"
301,1,214,237,0.185798,"\text{Not used}","int(tan(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(4/3),x)","-\frac{3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}{2\,a^2\,d}-\frac{4^{1/3}\,\ln\left(36\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-18\,4^{2/3}\,a^{4/3}\,d\right)}{8\,a^{4/3}\,d}-\frac{\frac{27\,a}{8}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,15{}\mathrm{i}}{4}}{a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}-\frac{4^{1/3}\,\ln\left(36\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-1152\,4^{2/3}\,a^{4/3}\,d\,{\left(-\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}^2\right)\,\left(-\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}{a^{4/3}\,d}+\frac{4^{1/3}\,\ln\left(36\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-1152\,4^{2/3}\,a^{4/3}\,d\,{\left(\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}^2\right)\,\left(\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}{a^{4/3}\,d}","Not used",1,"(4^(1/3)*log(36*a*d*(a + a*tan(c + d*x)*1i)^(1/3) - 1152*4^(2/3)*a^(4/3)*d*((3^(1/2)*1i)/16 + 1/16)^2)*((3^(1/2)*1i)/16 + 1/16))/(a^(4/3)*d) - (4^(1/3)*log(36*a*d*(a + a*tan(c + d*x)*1i)^(1/3) - 18*4^(2/3)*a^(4/3)*d))/(8*a^(4/3)*d) - ((27*a)/8 + (a*tan(c + d*x)*15i)/4)/(a*d*(a + a*tan(c + d*x)*1i)^(4/3)) - (4^(1/3)*log(36*a*d*(a + a*tan(c + d*x)*1i)^(1/3) - 1152*4^(2/3)*a^(4/3)*d*((3^(1/2)*1i)/16 - 1/16)^2)*((3^(1/2)*1i)/16 - 1/16))/(a^(4/3)*d) - (3*(a + a*tan(c + d*x)*1i)^(2/3))/(2*a^2*d)","B"
302,1,217,213,0.682354,"\text{Not used}","int(tan(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(4/3),x)","-\frac{\frac{3{}\mathrm{i}}{8\,d}-\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{4\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}+\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(9\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}\right)}{a^{4/3}\,d}-\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{16\,a^2\,d^2}-\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{32\,a^{5/3}\,d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}\,d}+\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{16\,a^2\,d^2}+\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{32\,a^{5/3}\,d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}\,d}","Not used",1,"((1i/128)^(1/3)*log(9*(a*(tan(c + d*x)*1i + 1))^(1/3) + 9*(-1)^(1/3)*2^(1/3)*a^(1/3)))/(a^(4/3)*d) - (3i/(8*d) - ((a + a*tan(c + d*x)*1i)*9i)/(4*a*d))/(a + a*tan(c + d*x)*1i)^(4/3) - ((1i/128)^(1/3)*log(- (9*(a + a*tan(c + d*x)*1i)^(1/3))/(16*a^2*d^2) - (9*(-1)^(1/3)*2^(1/3)*(3^(1/2)*1i - 1))/(32*a^(5/3)*d^2))*((3^(1/2)*1i)/2 + 1/2))/(a^(4/3)*d) + ((1i/128)^(1/3)*log((9*(-1)^(1/3)*2^(1/3)*(3^(1/2)*1i + 1))/(32*a^(5/3)*d^2) - (9*(a + a*tan(c + d*x)*1i)^(1/3))/(16*a^2*d^2))*((3^(1/2)*1i)/2 - 1/2))/(a^(4/3)*d)","B"
303,1,193,205,3.970851,"\text{Not used}","int(tan(c + d*x)/(a + a*tan(c + d*x)*1i)^(4/3),x)","\frac{\frac{3\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{4\,a}-\frac{3}{8}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}+\frac{4^{1/3}\,\ln\left(36\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-18\,4^{2/3}\,a^{4/3}\,d\right)}{8\,a^{4/3}\,d}+\frac{4^{1/3}\,\ln\left(36\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-1152\,4^{2/3}\,a^{4/3}\,d\,{\left(-\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}^2\right)\,\left(-\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}{a^{4/3}\,d}-\frac{4^{1/3}\,\ln\left(36\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-1152\,4^{2/3}\,a^{4/3}\,d\,{\left(\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}^2\right)\,\left(\frac{1}{16}+\frac{\sqrt{3}\,1{}\mathrm{i}}{16}\right)}{a^{4/3}\,d}","Not used",1,"((3*(a + a*tan(c + d*x)*1i))/(4*a) - 3/8)/(d*(a + a*tan(c + d*x)*1i)^(4/3)) + (4^(1/3)*log(36*a*d*(a + a*tan(c + d*x)*1i)^(1/3) - 18*4^(2/3)*a^(4/3)*d))/(8*a^(4/3)*d) + (4^(1/3)*log(36*a*d*(a + a*tan(c + d*x)*1i)^(1/3) - 1152*4^(2/3)*a^(4/3)*d*((3^(1/2)*1i)/16 - 1/16)^2)*((3^(1/2)*1i)/16 - 1/16))/(a^(4/3)*d) - (4^(1/3)*log(36*a*d*(a + a*tan(c + d*x)*1i)^(1/3) - 1152*4^(2/3)*a^(4/3)*d*((3^(1/2)*1i)/16 + 1/16)^2)*((3^(1/2)*1i)/16 + 1/16))/(a^(4/3)*d)","B"
304,1,217,213,4.423433,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(4/3),x)","\frac{\frac{3{}\mathrm{i}}{8\,d}+\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{4\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}-\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(9\,{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}\right)}{a^{4/3}\,d}+\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{16\,a^2\,d^2}-\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{32\,a^{5/3}\,d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}\,d}-\frac{{\left(\frac{1}{128}{}\mathrm{i}\right)}^{1/3}\,\ln\left(-\frac{9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{16\,a^2\,d^2}+\frac{9\,{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{32\,a^{5/3}\,d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}\,d}","Not used",1,"(3i/(8*d) + ((a + a*tan(c + d*x)*1i)*3i)/(4*a*d))/(a + a*tan(c + d*x)*1i)^(4/3) - ((1i/128)^(1/3)*log(9*(a*(tan(c + d*x)*1i + 1))^(1/3) + 9*(-1)^(1/3)*2^(1/3)*a^(1/3)))/(a^(4/3)*d) + ((1i/128)^(1/3)*log(- (9*(a + a*tan(c + d*x)*1i)^(1/3))/(16*a^2*d^2) - (9*(-1)^(1/3)*2^(1/3)*(3^(1/2)*1i - 1))/(32*a^(5/3)*d^2))*((3^(1/2)*1i)/2 + 1/2))/(a^(4/3)*d) - ((1i/128)^(1/3)*log((9*(-1)^(1/3)*2^(1/3)*(3^(1/2)*1i + 1))/(32*a^(5/3)*d^2) - (9*(a + a*tan(c + d*x)*1i)^(1/3))/(16*a^2*d^2))*((3^(1/2)*1i)/2 - 1/2))/(a^(4/3)*d)","B"
305,1,822,313,3.976902,"\text{Not used}","int(cot(c + d*x)/(a + a*tan(c + d*x)*1i)^(4/3),x)","\ln\left(\left(\left(382205952\,a^{16}\,d^9\,{\left(\frac{1}{a^4\,d^3}\right)}^{2/3}-258785280\,a^{13}\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{1/3}-125411328\,a^{12}\,d^6\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{2/3}+1990656\,a^9\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{1/3}+\ln\left(\left(\left(382205952\,a^{16}\,d^9\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{2/3}-258785280\,a^{13}\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{1/3}-125411328\,a^{12}\,d^6\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{2/3}+1990656\,a^9\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{1/3}+\frac{\ln\left(1990656\,a^9\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(125411328\,a^{12}\,d^6+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(258785280\,a^{13}\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-95551488\,a^{16}\,d^9\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(1990656\,a^9\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(125411328\,a^{12}\,d^6-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(258785280\,a^{13}\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-95551488\,a^{16}\,d^9\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^4\,d^3}\right)}^{1/3}}{2}+\ln\left(1990656\,a^9\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(125411328\,a^{12}\,d^6+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(258785280\,a^{13}\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-382205952\,a^{16}\,d^9\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{2/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{1/3}-\ln\left(1990656\,a^9\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(125411328\,a^{12}\,d^6-\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(258785280\,a^{13}\,d^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-382205952\,a^{16}\,d^9\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{2/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{1}{128\,a^4\,d^3}\right)}^{1/3}+\frac{\frac{9\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{4\,a}+\frac{3}{8}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}}","Not used",1,"log(((382205952*a^16*d^9*(1/(a^4*d^3))^(2/3) - 258785280*a^13*d^7*(a + a*tan(c + d*x)*1i)^(1/3))*(1/(a^4*d^3))^(1/3) - 125411328*a^12*d^6)*(1/(a^4*d^3))^(2/3) + 1990656*a^9*d^4*(a + a*tan(c + d*x)*1i)^(1/3))*(1/(a^4*d^3))^(1/3) + log(((382205952*a^16*d^9*(-1/(128*a^4*d^3))^(2/3) - 258785280*a^13*d^7*(a + a*tan(c + d*x)*1i)^(1/3))*(-1/(128*a^4*d^3))^(1/3) - 125411328*a^12*d^6)*(-1/(128*a^4*d^3))^(2/3) + 1990656*a^9*d^4*(a + a*tan(c + d*x)*1i)^(1/3))*(-1/(128*a^4*d^3))^(1/3) + (log(1990656*a^9*d^4*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i - 1)^2*(125411328*a^12*d^6 + ((3^(1/2)*1i - 1)*(258785280*a^13*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 95551488*a^16*d^9*(3^(1/2)*1i - 1)^2*(1/(a^4*d^3))^(2/3))*(1/(a^4*d^3))^(1/3))/2)*(1/(a^4*d^3))^(2/3))/4)*(3^(1/2)*1i - 1)*(1/(a^4*d^3))^(1/3))/2 - (log(1990656*a^9*d^4*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i + 1)^2*(125411328*a^12*d^6 - ((3^(1/2)*1i + 1)*(258785280*a^13*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 95551488*a^16*d^9*(3^(1/2)*1i + 1)^2*(1/(a^4*d^3))^(2/3))*(1/(a^4*d^3))^(1/3))/2)*(1/(a^4*d^3))^(2/3))/4)*(3^(1/2)*1i + 1)*(1/(a^4*d^3))^(1/3))/2 + log(1990656*a^9*d^4*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i)/2 - 1/2)^2*(125411328*a^12*d^6 + ((3^(1/2)*1i)/2 - 1/2)*(258785280*a^13*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 382205952*a^16*d^9*((3^(1/2)*1i)/2 - 1/2)^2*(-1/(128*a^4*d^3))^(2/3))*(-1/(128*a^4*d^3))^(1/3))*(-1/(128*a^4*d^3))^(2/3))*((3^(1/2)*1i)/2 - 1/2)*(-1/(128*a^4*d^3))^(1/3) - log(1990656*a^9*d^4*(a + a*tan(c + d*x)*1i)^(1/3) - ((3^(1/2)*1i)/2 + 1/2)^2*(125411328*a^12*d^6 - ((3^(1/2)*1i)/2 + 1/2)*(258785280*a^13*d^7*(a + a*tan(c + d*x)*1i)^(1/3) - 382205952*a^16*d^9*((3^(1/2)*1i)/2 + 1/2)^2*(-1/(128*a^4*d^3))^(2/3))*(-1/(128*a^4*d^3))^(1/3))*(-1/(128*a^4*d^3))^(2/3))*((3^(1/2)*1i)/2 + 1/2)*(-1/(128*a^4*d^3))^(1/3) + ((9*(a + a*tan(c + d*x)*1i))/(4*a) + 3/8)/(d*(a + a*tan(c + d*x)*1i)^(4/3))","B"
306,1,893,354,5.992983,"\text{Not used}","int(cot(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(4/3),x)","-\frac{\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,27{}\mathrm{i}}{8\,d}+\frac{a\,3{}\mathrm{i}}{8\,d}-\frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,19{}\mathrm{i}}{4\,a\,d}}{a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{4/3}-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/3}}+\ln\left(d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,1584{}\mathrm{i}-\left(\left(46656\,a^7\,d^6\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{2/3}+55782\,a^4\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{1/3}-a^3\,d^3\,37107{}\mathrm{i}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{1/3}+\ln\left(d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,1584{}\mathrm{i}-\left(\left(46656\,a^7\,d^6\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{2/3}+55782\,a^4\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{1/3}-a^3\,d^3\,37107{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{1/3}+\frac{\ln\left(d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,1584{}\mathrm{i}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,37107{}\mathrm{i}-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(55782\,a^4\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+11664\,a^7\,d^6\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,1584{}\mathrm{i}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,37107{}\mathrm{i}+\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(55782\,a^4\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+11664\,a^7\,d^6\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{64{}\mathrm{i}}{27\,a^4\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,1584{}\mathrm{i}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,37107{}\mathrm{i}-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(55782\,a^4\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+11664\,a^7\,d^6\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,1584{}\mathrm{i}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^3\,d^3\,37107{}\mathrm{i}+\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(55782\,a^4\,d^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+11664\,a^7\,d^6\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{2/3}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{128\,a^4\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(d*(a + a*tan(c + d*x)*1i)^(1/3)*1584i - ((46656*a^7*d^6*(64i/(27*a^4*d^3))^(2/3) + 55782*a^4*d^4*(a + a*tan(c + d*x)*1i)^(1/3))*(64i/(27*a^4*d^3))^(1/3) - a^3*d^3*37107i)*(64i/(27*a^4*d^3))^(2/3))*(64i/(27*a^4*d^3))^(1/3) - (((a + a*tan(c + d*x)*1i)*27i)/(8*d) + (a*3i)/(8*d) - ((a + a*tan(c + d*x)*1i)^2*19i)/(4*a*d))/(a*(a + a*tan(c + d*x)*1i)^(4/3) - (a + a*tan(c + d*x)*1i)^(7/3)) + log(d*(a + a*tan(c + d*x)*1i)^(1/3)*1584i - ((46656*a^7*d^6*(1i/(128*a^4*d^3))^(2/3) + 55782*a^4*d^4*(a + a*tan(c + d*x)*1i)^(1/3))*(1i/(128*a^4*d^3))^(1/3) - a^3*d^3*37107i)*(1i/(128*a^4*d^3))^(2/3))*(1i/(128*a^4*d^3))^(1/3) + (log(d*(a + a*tan(c + d*x)*1i)^(1/3)*1584i + ((3^(1/2)*1i - 1)^2*(a^3*d^3*37107i - ((3^(1/2)*1i - 1)*(55782*a^4*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 11664*a^7*d^6*(3^(1/2)*1i - 1)^2*(64i/(27*a^4*d^3))^(2/3))*(64i/(27*a^4*d^3))^(1/3))/2)*(64i/(27*a^4*d^3))^(2/3))/4)*(3^(1/2)*1i - 1)*(64i/(27*a^4*d^3))^(1/3))/2 - (log(d*(a + a*tan(c + d*x)*1i)^(1/3)*1584i + ((3^(1/2)*1i + 1)^2*(a^3*d^3*37107i + ((3^(1/2)*1i + 1)*(55782*a^4*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 11664*a^7*d^6*(3^(1/2)*1i + 1)^2*(64i/(27*a^4*d^3))^(2/3))*(64i/(27*a^4*d^3))^(1/3))/2)*(64i/(27*a^4*d^3))^(2/3))/4)*(3^(1/2)*1i + 1)*(64i/(27*a^4*d^3))^(1/3))/2 + (log(d*(a + a*tan(c + d*x)*1i)^(1/3)*1584i + ((3^(1/2)*1i - 1)^2*(a^3*d^3*37107i - ((3^(1/2)*1i - 1)*(55782*a^4*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 11664*a^7*d^6*(3^(1/2)*1i - 1)^2*(1i/(128*a^4*d^3))^(2/3))*(1i/(128*a^4*d^3))^(1/3))/2)*(1i/(128*a^4*d^3))^(2/3))/4)*(3^(1/2)*1i - 1)*(1i/(128*a^4*d^3))^(1/3))/2 - (log(d*(a + a*tan(c + d*x)*1i)^(1/3)*1584i + ((3^(1/2)*1i + 1)^2*(a^3*d^3*37107i + ((3^(1/2)*1i + 1)*(55782*a^4*d^4*(a + a*tan(c + d*x)*1i)^(1/3) + 11664*a^7*d^6*(3^(1/2)*1i + 1)^2*(1i/(128*a^4*d^3))^(2/3))*(1i/(128*a^4*d^3))^(1/3))/2)*(1i/(128*a^4*d^3))^(2/3))/4)*(3^(1/2)*1i + 1)*(1i/(128*a^4*d^3))^(1/3))/2","B"
307,1,233,213,3.989181,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^(5/3),x)","\frac{\frac{3{}\mathrm{i}}{10\,d}+\frac{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/3}}+\frac{{\left(\frac{1}{256}{}\mathrm{i}\right)}^{1/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,144{}\mathrm{i}-1152\,{\left(\frac{1}{256}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{7/3}\,d^2\right)}{{\left(-a\right)}^{5/3}\,d}+\frac{{\left(\frac{1}{256}{}\mathrm{i}\right)}^{1/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,144{}\mathrm{i}-1152\,{\left(\frac{1}{256}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{7/3}\,d^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{5/3}\,d}-\frac{{\left(\frac{1}{256}{}\mathrm{i}\right)}^{1/3}\,\ln\left(a^2\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,144{}\mathrm{i}+1152\,{\left(\frac{1}{256}{}\mathrm{i}\right)}^{1/3}\,{\left(-a\right)}^{7/3}\,d^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{5/3}\,d}","Not used",1,"(3i/(10*d) + ((a + a*tan(c + d*x)*1i)*3i)/(8*a*d))/(a + a*tan(c + d*x)*1i)^(5/3) + ((1i/256)^(1/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*144i - 1152*(1i/256)^(1/3)*(-a)^(7/3)*d^2))/((-a)^(5/3)*d) + ((1i/256)^(1/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*144i - 1152*(1i/256)^(1/3)*(-a)^(7/3)*d^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/((-a)^(5/3)*d) - ((1i/256)^(1/3)*log(a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*144i + 1152*(1i/256)^(1/3)*(-a)^(7/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/((-a)^(5/3)*d)","B"
308,0,-1,43,0.000000,"\text{Not used}","int((e*tan(c + d*x))^m*(a + a*tan(c + d*x)*1i),x)","\int {\left(e\,\mathrm{tan}\left(c+d\,x\right)\right)}^m\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e*tan(c + d*x))^m*(a + a*tan(c + d*x)*1i), x)","F"
309,0,-1,43,0.000000,"\text{Not used}","int((e*tan(c + d*x))^m*(a - a*tan(c + d*x)*1i),x)","\int {\left(e\,\mathrm{tan}\left(c+d\,x\right)\right)}^m\,\left(a-a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e*tan(c + d*x))^m*(a - a*tan(c + d*x)*1i), x)","F"
310,0,-1,189,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^4,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4 \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^4, x)","F"
311,0,-1,127,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^3,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^3, x)","F"
312,0,-1,75,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^2,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^2, x)","F"
313,0,-1,43,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i), x)","F"
314,0,-1,158,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i), x)","F"
315,0,-1,209,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^2, x)","F"
316,0,-1,274,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^3,x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^3, x)","F"
317,0,-1,326,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^4,x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^4, x)","F"
318,0,-1,43,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a - a*tan(e + f*x)*1i),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,\left(a-a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a - a*tan(e + f*x)*1i), x)","F"
319,0,-1,158,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a - a*tan(e + f*x)*1i),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{a-a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a - a*tan(e + f*x)*1i), x)","F"
320,0,-1,89,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^(3/2),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
321,0,-1,89,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^(1/2),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
322,0,-1,88,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
323,0,-1,91,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
324,0,-1,88,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^m,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x)*1i)^m, x)","F"
325,0,-1,205,0.000000,"\text{Not used}","int(tan(c + d*x)^4*(a + a*tan(c + d*x)*1i)^m,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(tan(c + d*x)^4*(a + a*tan(c + d*x)*1i)^m, x)","F"
326,0,-1,144,0.000000,"\text{Not used}","int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^m,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(tan(c + d*x)^3*(a + a*tan(c + d*x)*1i)^m, x)","F"
327,0,-1,82,0.000000,"\text{Not used}","int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^m,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(tan(c + d*x)^2*(a + a*tan(c + d*x)*1i)^m, x)","F"
328,0,-1,70,0.000000,"\text{Not used}","int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^m,x)","\int \mathrm{tan}\left(c+d\,x\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(tan(c + d*x)*(a + a*tan(c + d*x)*1i)^m, x)","F"
329,0,-1,49,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^m,x)","\int {\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^m, x)","F"
330,0,-1,89,0.000000,"\text{Not used}","int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^m,x)","\int \mathrm{cot}\left(c+d\,x\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(cot(c + d*x)*(a + a*tan(c + d*x)*1i)^m, x)","F"
331,0,-1,116,0.000000,"\text{Not used}","int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^m,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(cot(c + d*x)^2*(a + a*tan(c + d*x)*1i)^m, x)","F"
332,0,-1,81,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^m,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^m, x)","F"
333,0,-1,81,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^m,x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^m, x)","F"
334,0,-1,79,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^m/tan(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^m/tan(c + d*x)^(1/2), x)","F"
335,0,-1,79,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^m/tan(c + d*x)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^m}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^m/tan(c + d*x)^(3/2), x)","F"
336,1,144,115,5.466266,"\text{Not used}","int((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x)),x)","\frac{2\,a\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,f}+\frac{2\,a\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}-\frac{2\,a\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}-\frac{{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(-1-\mathrm{i}\right)}{f}","Not used",1,"(2*a*(d*tan(e + f*x))^(5/2))/(5*f) + (2*a*d*(d*tan(e + f*x))^(3/2))/(3*f) - (2*a*d^2*(d*tan(e + f*x))^(1/2))/f - ((-1)^(1/4)*a*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 + 1i))/f - ((-1)^(1/4)*a*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2)*1i)/d^(1/2)))/f + ((-1)^(1/4)*a*d^(5/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
337,1,98,93,4.835740,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x)),x)","\frac{2\,a\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{2\,a\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(-1+1{}\mathrm{i}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(1+1{}\mathrm{i}\right)}{f}","Not used",1,"(2*a*(d*tan(e + f*x))^(3/2))/(3*f) + (2*a*d*(d*tan(e + f*x))^(1/2))/f - ((-1)^(1/4)*a*d^(3/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 - 1i))/f + ((-1)^(1/4)*a*d^(3/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 + 1i))/f","B"
338,1,125,72,4.463552,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x)),x)","\frac{2\,a\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\left(\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)-\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}+\frac{{\left(-1\right)}^{1/4}\,a\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"(2*a*(d*tan(e + f*x))^(1/2))/f + ((-1)^(1/4)*a*d^(1/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*1i)/f + ((-1)^(1/4)*a*d^(1/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*1i)/f + ((-1)^(1/4)*a*d^(1/2)*(atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)) - atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))))/f","B"
339,1,65,50,4.301987,"\text{Not used}","int((a + a*tan(e + f*x))/(d*tan(e + f*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(1-\mathrm{i}\right)}{\sqrt{d}\,f}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(-1-\mathrm{i}\right)}{\sqrt{d}\,f}","Not used",1,"((-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 - 1i))/(d^(1/2)*f) - ((-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 + 1i))/(d^(1/2)*f)","B"
340,1,84,74,4.576994,"\text{Not used}","int((a + a*tan(e + f*x))/(d*tan(e + f*x))^(3/2),x)","-\frac{2\,a}{d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(-1-\mathrm{i}\right)}{d^{3/2}\,f}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(1-\mathrm{i}\right)}{d^{3/2}\,f}","Not used",1,"((-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 - 1i))/(d^(3/2)*f) - ((-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 + 1i))/(d^(3/2)*f) - (2*a)/(d*f*(d*tan(e + f*x))^(1/2))","B"
341,1,103,98,5.190301,"\text{Not used}","int((a + a*tan(e + f*x))/(d*tan(e + f*x))^(5/2),x)","-\frac{2\,a}{d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{2\,a}{3\,d\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(-1+1{}\mathrm{i}\right)}{d^{5/2}\,f}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(1+1{}\mathrm{i}\right)}{d^{5/2}\,f}","Not used",1,"((-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 + 1i))/(d^(5/2)*f) - (2*a)/(3*d*f*(d*tan(e + f*x))^(3/2)) - ((-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 - 1i))/(d^(5/2)*f) - (2*a)/(d^2*f*(d*tan(e + f*x))^(1/2))","B"
342,1,120,121,5.804972,"\text{Not used}","int((a + a*tan(e + f*x))/(d*tan(e + f*x))^(7/2),x)","-\frac{\frac{2\,a}{5\,d}-\frac{2\,a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{d}}{f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}-\frac{2\,a}{3\,d^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(1+1{}\mathrm{i}\right)}{d^{7/2}\,f}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,\left(-1+1{}\mathrm{i}\right)}{d^{7/2}\,f}","Not used",1,"((-1)^(1/4)*a*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 + 1i))/(d^(7/2)*f) - (2*a)/(3*d^2*f*(d*tan(e + f*x))^(3/2)) - ((2*a)/(5*d) - (2*a*tan(e + f*x)^2)/d)/(f*(d*tan(e + f*x))^(5/2)) - ((-1)^(1/4)*a*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*(1 - 1i))/(d^(7/2)*f)","B"
343,1,125,269,5.304816,"\text{Not used}","int((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x))^2,x)","\frac{4\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,f}-\frac{4\,a^2\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{2\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d\,f}-\frac{{\left(-1\right)}^{1/4}\,a^2\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{f}-\frac{2\,{\left(-1\right)}^{1/4}\,a^2\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)}{f}","Not used",1,"(4*a^2*(d*tan(e + f*x))^(5/2))/(5*f) - (4*a^2*d^2*(d*tan(e + f*x))^(1/2))/f + (2*a^2*(d*tan(e + f*x))^(7/2))/(7*d*f) - ((-1)^(1/4)*a^2*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/f - (2*(-1)^(1/4)*a^2*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2)*1i)/d^(1/2)))/f","B"
344,1,104,246,4.641070,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x))^2,x)","\frac{4\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{2\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d\,f}-\frac{2\,{\left(-1\right)}^{1/4}\,a^2\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}-\frac{{\left(-1\right)}^{1/4}\,a^2\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(4*a^2*(d*tan(e + f*x))^(3/2))/(3*f) + (2*a^2*(d*tan(e + f*x))^(5/2))/(5*d*f) - (2*(-1)^(1/4)*a^2*d^(3/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f - ((-1)^(1/4)*a^2*d^(3/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2)*1i)/d^(1/2))*2i)/f","B"
345,1,104,244,4.379658,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x))^2,x)","\frac{4\,a^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{2\,a^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,d\,f}+\frac{{\left(-1\right)}^{1/4}\,a^2\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{f}+\frac{2\,{\left(-1\right)}^{1/4}\,a^2\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)}{f}","Not used",1,"(4*a^2*(d*tan(e + f*x))^(1/2))/f + (2*a^2*(d*tan(e + f*x))^(3/2))/(3*d*f) + ((-1)^(1/4)*a^2*d^(1/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/f + (2*(-1)^(1/4)*a^2*d^(1/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2)*1i)/d^(1/2)))/f","B"
346,1,86,222,4.064654,"\text{Not used}","int((a + a*tan(e + f*x))^2/(d*tan(e + f*x))^(1/2),x)","\frac{2\,a^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{d\,f}+\frac{2\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{\sqrt{d}\,f}-\frac{2\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{\sqrt{d}\,f}","Not used",1,"(2*a^2*(d*tan(e + f*x))^(1/2))/(d*f) + (2*(-1)^(1/4)*a^2*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f) - (2*(-1)^(1/4)*a^2*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f)","B"
347,1,86,222,4.251947,"\text{Not used}","int((a + a*tan(e + f*x))^2/(d*tan(e + f*x))^(3/2),x)","-\frac{2\,a^2}{d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{d^{3/2}\,f}-\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,2{}\mathrm{i}}{d^{3/2}\,f}","Not used",1,"- (2*a^2)/(d*f*(d*tan(e + f*x))^(1/2)) - ((-1)^(1/4)*a^2*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/(d^(3/2)*f) - ((-1)^(1/4)*a^2*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))*2i)/(d^(3/2)*f)","B"
348,1,100,247,4.346532,"\text{Not used}","int((a + a*tan(e + f*x))^2/(d*tan(e + f*x))^(5/2),x)","\frac{2\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{5/2}\,f}-\frac{2\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{5/2}\,f}-\frac{4\,a^2\,\mathrm{tan}\left(e+f\,x\right)+\frac{2\,a^2}{3}}{d\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"(2*(-1)^(1/4)*a^2*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(5/2)*f) - (2*(-1)^(1/4)*a^2*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/(d^(5/2)*f) - (4*a^2*tan(e + f*x) + (2*a^2)/3)/(d*f*(d*tan(e + f*x))^(3/2))","B"
349,1,185,210,7.039252,"\text{Not used}","int((d*tan(e + f*x))^(7/2)*(a + a*tan(e + f*x))^3,x)","\frac{4\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,f}+\frac{4\,a^3\,d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}-\frac{4\,a^3\,d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{9/2}}{3\,d\,f}+\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{11/2}}{11\,d^2\,f}-\frac{4\,a^3\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,f}+\frac{\sqrt{2}\,a^3\,d^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,a^6\,d^{17/2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,32{}\mathrm{i}}{32\,a^6\,d^9+32\,a^6\,d^9\,\mathrm{tan}\left(e+f\,x\right)}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(4*a^3*(d*tan(e + f*x))^(7/2))/(7*f) + (4*a^3*d^3*(d*tan(e + f*x))^(1/2))/f - (4*a^3*d^2*(d*tan(e + f*x))^(3/2))/(3*f) + (2*a^3*(d*tan(e + f*x))^(9/2))/(3*d*f) + (2*a^3*(d*tan(e + f*x))^(11/2))/(11*d^2*f) - (4*a^3*d*(d*tan(e + f*x))^(5/2))/(5*f) + (2^(1/2)*a^3*d^(7/2)*atan((2^(1/2)*a^6*d^(17/2)*(d*tan(e + f*x))^(1/2)*32i)/(32*a^6*d^9 + 32*a^6*d^9*tan(e + f*x)))*2i)/f","B"
350,1,176,186,5.958953,"\text{Not used}","int((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x))^3,x)","\frac{4\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,f}-\frac{4\,a^3\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{6\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d\,f}+\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{9/2}}{9\,d^2\,f}-\frac{4\,a^3\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{\sqrt{2}\,a^3\,d^{5/2}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{f}","Not used",1,"(4*a^3*(d*tan(e + f*x))^(5/2))/(5*f) - (4*a^3*d^2*(d*tan(e + f*x))^(1/2))/f + (6*a^3*(d*tan(e + f*x))^(7/2))/(7*d*f) + (2*a^3*(d*tan(e + f*x))^(9/2))/(9*d^2*f) - (4*a^3*d*(d*tan(e + f*x))^(3/2))/(3*f) + (2^(1/2)*a^3*d^(5/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/f","B"
351,1,143,160,5.148771,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x))^3,x)","\frac{4\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{6\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d\,f}+\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d^2\,f}-\frac{4\,a^3\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}-\frac{\sqrt{2}\,a^3\,d^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,a^6\,d^{9/2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,32{}\mathrm{i}}{32\,a^6\,d^5+32\,a^6\,d^5\,\mathrm{tan}\left(e+f\,x\right)}\right)\,2{}\mathrm{i}}{f}","Not used",1,"(4*a^3*(d*tan(e + f*x))^(3/2))/(3*f) + (6*a^3*(d*tan(e + f*x))^(5/2))/(5*d*f) + (2*a^3*(d*tan(e + f*x))^(7/2))/(7*d^2*f) - (4*a^3*d*(d*tan(e + f*x))^(1/2))/f - (2^(1/2)*a^3*d^(3/2)*atan((2^(1/2)*a^6*d^(9/2)*(d*tan(e + f*x))^(1/2)*32i)/(32*a^6*d^5 + 32*a^6*d^5*tan(e + f*x)))*2i)/f","B"
352,1,137,138,4.617780,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x))^3,x)","\frac{4\,a^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{d\,f}+\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d^2\,f}-\frac{\sqrt{2}\,a^3\,\sqrt{d}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{f}","Not used",1,"(4*a^3*(d*tan(e + f*x))^(1/2))/f + (2*a^3*(d*tan(e + f*x))^(3/2))/(d*f) + (2*a^3*(d*tan(e + f*x))^(5/2))/(5*d^2*f) - (2^(1/2)*a^3*d^(1/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/f","B"
353,1,100,117,4.259261,"\text{Not used}","int((a + a*tan(e + f*x))^3/(d*tan(e + f*x))^(1/2),x)","\frac{6\,a^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{d\,f}+\frac{2\,a^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,d^2\,f}-\frac{2\,\sqrt{2}\,a^3\,\mathrm{atanh}\left(\frac{32\,\sqrt{2}\,a^6\,\sqrt{d}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{32\,a^6\,d+32\,a^6\,d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{\sqrt{d}\,f}","Not used",1,"(6*a^3*(d*tan(e + f*x))^(1/2))/(d*f) + (2*a^3*(d*tan(e + f*x))^(3/2))/(3*d^2*f) - (2*2^(1/2)*a^3*atanh((32*2^(1/2)*a^6*d^(1/2)*(d*tan(e + f*x))^(1/2))/(32*a^6*d + 32*a^6*d*tan(e + f*x))))/(d^(1/2)*f)","B"
354,1,118,114,4.195774,"\text{Not used}","int((a + a*tan(e + f*x))^3/(d*tan(e + f*x))^(3/2),x)","\frac{2\,a^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{d^2\,f}-\frac{2\,a^3}{d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}+\frac{\sqrt{2}\,a^3\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{d^{3/2}\,f}","Not used",1,"(2*a^3*(d*tan(e + f*x))^(1/2))/(d^2*f) - (2*a^3)/(d*f*(d*tan(e + f*x))^(1/2)) + (2^(1/2)*a^3*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(d^(3/2)*f)","B"
355,1,102,117,4.317643,"\text{Not used}","int((a + a*tan(e + f*x))^3/(d*tan(e + f*x))^(5/2),x)","\frac{2\,\sqrt{2}\,a^3\,\mathrm{atanh}\left(\frac{32\,\sqrt{2}\,a^6\,d^{5/2}\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{32\,a^6\,d^3\,f+32\,a^6\,d^3\,f\,\mathrm{tan}\left(e+f\,x\right)}\right)}{d^{5/2}\,f}-\frac{\frac{2\,a^3\,d}{3}+6\,a^3\,d\,\mathrm{tan}\left(e+f\,x\right)}{d^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"(2*2^(1/2)*a^3*atanh((32*2^(1/2)*a^6*d^(5/2)*f*(d*tan(e + f*x))^(1/2))/(32*a^6*d^3*f + 32*a^6*d^3*f*tan(e + f*x))))/(d^(5/2)*f) - ((2*a^3*d)/3 + 6*a^3*d*tan(e + f*x))/(d^2*f*(d*tan(e + f*x))^(3/2))","B"
356,1,128,141,5.075151,"\text{Not used}","int((a + a*tan(e + f*x))^3/(d*tan(e + f*x))^(7/2),x)","-\frac{4\,d\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,d\,a^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{2\,d\,a^3}{5}}{d^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}-\frac{\sqrt{2}\,a^3\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{d^{7/2}\,f}","Not used",1,"- ((2*a^3*d)/5 + 4*a^3*d*tan(e + f*x)^2 + 2*a^3*d*tan(e + f*x))/(d^2*f*(d*tan(e + f*x))^(5/2)) - (2^(1/2)*a^3*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(d^(7/2)*f)","B"
357,1,130,165,5.751522,"\text{Not used}","int((a + a*tan(e + f*x))^3/(d*tan(e + f*x))^(9/2),x)","-\frac{-4\,d\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3+\frac{4\,d\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{3}+\frac{6\,d\,a^3\,\mathrm{tan}\left(e+f\,x\right)}{5}+\frac{2\,d\,a^3}{7}}{d^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}-\frac{2\,\sqrt{2}\,a^3\,\mathrm{atanh}\left(\frac{32\,\sqrt{2}\,a^6\,d^{9/2}\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{32\,a^6\,d^5\,f+32\,a^6\,d^5\,f\,\mathrm{tan}\left(e+f\,x\right)}\right)}{d^{9/2}\,f}","Not used",1,"- ((2*a^3*d)/7 + (4*a^3*d*tan(e + f*x)^2)/3 - 4*a^3*d*tan(e + f*x)^3 + (6*a^3*d*tan(e + f*x))/5)/(d^2*f*(d*tan(e + f*x))^(7/2)) - (2*2^(1/2)*a^3*atanh((32*2^(1/2)*a^6*d^(9/2)*f*(d*tan(e + f*x))^(1/2))/(32*a^6*d^5*f + 32*a^6*d^5*f*tan(e + f*x))))/(d^(9/2)*f)","B"
358,1,124,111,4.446361,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)),x)","\frac{2\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{a\,f}-\frac{d^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{a\,f}-\frac{\sqrt{2}\,d^{5/2}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{4\,a\,f}","Not used",1,"(2*d^2*(d*tan(e + f*x))^(1/2))/(a*f) - (d^(5/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(a*f) - (2^(1/2)*d^(5/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(4*a*f)","B"
359,1,78,87,4.225355,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)),x)","\frac{d^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{a\,f}-\frac{\sqrt{2}\,d^{3/2}\,\mathrm{atanh}\left(\frac{12\,\sqrt{2}\,d^{25/2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{12\,d^{13}\,\mathrm{tan}\left(e+f\,x\right)+12\,d^{13}}\right)}{2\,a\,f}","Not used",1,"(d^(3/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(a*f) - (2^(1/2)*d^(3/2)*atanh((12*2^(1/2)*d^(25/2)*(d*tan(e + f*x))^(1/2))/(12*d^13*tan(e + f*x) + 12*d^13)))/(2*a*f)","B"
360,1,103,89,4.246453,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)),x)","\frac{\sqrt{2}\,\sqrt{d}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{4\,a\,f}-\frac{\sqrt{d}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{a\,f}","Not used",1,"(2^(1/2)*d^(1/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(4*a*f) - (d^(1/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(a*f)","B"
361,1,78,81,4.341775,"\text{Not used}","int(1/((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x))),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{a\,\sqrt{d}\,f}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{12\,\sqrt{2}\,d^{9/2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{12\,d^5\,\mathrm{tan}\left(e+f\,x\right)+12\,d^5}\right)}{2\,a\,\sqrt{d}\,f}","Not used",1,"atan((d*tan(e + f*x))^(1/2)/d^(1/2))/(a*d^(1/2)*f) + (2^(1/2)*atanh((12*2^(1/2)*d^(9/2)*(d*tan(e + f*x))^(1/2))/(12*d^5*tan(e + f*x) + 12*d^5)))/(2*a*d^(1/2)*f)","B"
362,1,124,111,4.436113,"\text{Not used}","int(1/((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x))),x)","-\frac{2}{a\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{a\,d^{3/2}\,f}-\frac{\sqrt{2}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{4\,a\,d^{3/2}\,f}","Not used",1,"- 2/(a*d*f*(d*tan(e + f*x))^(1/2)) - atan((d*tan(e + f*x))^(1/2)/d^(1/2))/(a*d^(3/2)*f) - (2^(1/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(4*a*d^(3/2)*f)","B"
363,1,130,135,4.821323,"\text{Not used}","int(1/((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x))),x)","\frac{\frac{2\,\mathrm{tan}\left(e+f\,x\right)}{d}-\frac{2}{3\,d}}{a\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{a\,d^{5/2}\,f}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{12\,\sqrt{2}\,a^3\,d^{21/2}\,f^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{12\,a^3\,d^{11}\,f^3+12\,a^3\,d^{11}\,f^3\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,a\,d^{5/2}\,f}","Not used",1,"((2*tan(e + f*x))/d - 2/(3*d))/(a*f*(d*tan(e + f*x))^(3/2)) + atan((d*tan(e + f*x))^(1/2)/d^(1/2))/(a*d^(5/2)*f) - (2^(1/2)*atanh((12*2^(1/2)*a^3*d^(21/2)*f^3*(d*tan(e + f*x))^(1/2))/(12*a^3*d^11*f^3 + 12*a^3*d^11*f^3*tan(e + f*x))))/(2*a*d^(5/2)*f)","B"
364,1,376,281,4.689164,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x))^2,x)","\frac{\mathrm{atan}\left(\frac{4\,d^{20}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^{10}}{a^8\,f^4}\right)}^{1/4}}{\frac{36\,d^{23}}{a^2\,f}-4\,a^2\,d^{18}\,f\,\sqrt{-\frac{d^{10}}{a^8\,f^4}}}+\frac{36\,d^{15}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^{10}}{a^8\,f^4}\right)}^{3/4}}{\frac{36\,d^{23}}{a^6\,f^3}-\frac{4\,d^{18}\,\sqrt{-\frac{d^{10}}{a^8\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{d^{10}}{a^8\,f^4}\right)}^{1/4}}{2}+\mathrm{atan}\left(\frac{d^{20}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^{10}}{256\,a^8\,f^4}\right)}^{1/4}\,16{}\mathrm{i}}{\frac{36\,d^{23}}{a^2\,f}+64\,a^2\,d^{18}\,f\,\sqrt{-\frac{d^{10}}{256\,a^8\,f^4}}}-\frac{d^{15}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^{10}}{256\,a^8\,f^4}\right)}^{3/4}\,2304{}\mathrm{i}}{\frac{36\,d^{23}}{a^6\,f^3}+\frac{64\,d^{18}\,\sqrt{-\frac{d^{10}}{256\,a^8\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{d^{10}}{256\,a^8\,f^4}\right)}^{1/4}\,2{}\mathrm{i}-\frac{d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\left(a^2\,d\,f+a^2\,d\,f\,\mathrm{tan}\left(e+f\,x\right)\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-d^5}\,1{}\mathrm{i}}{d^3}\right)\,\sqrt{-d^5}\,3{}\mathrm{i}}{2\,a^2\,f}","Not used",1,"(atan((4*d^20*(d*tan(e + f*x))^(1/2)*(-d^10/(a^8*f^4))^(1/4))/((36*d^23)/(a^2*f) - 4*a^2*d^18*f*(-d^10/(a^8*f^4))^(1/2)) + (36*d^15*(d*tan(e + f*x))^(1/2)*(-d^10/(a^8*f^4))^(3/4))/((36*d^23)/(a^6*f^3) - (4*d^18*(-d^10/(a^8*f^4))^(1/2))/(a^2*f)))*(-d^10/(a^8*f^4))^(1/4))/2 + atan((d^20*(d*tan(e + f*x))^(1/2)*(-d^10/(256*a^8*f^4))^(1/4)*16i)/((36*d^23)/(a^2*f) + 64*a^2*d^18*f*(-d^10/(256*a^8*f^4))^(1/2)) - (d^15*(d*tan(e + f*x))^(1/2)*(-d^10/(256*a^8*f^4))^(3/4)*2304i)/((36*d^23)/(a^6*f^3) + (64*d^18*(-d^10/(256*a^8*f^4))^(1/2))/(a^2*f)))*(-d^10/(256*a^8*f^4))^(1/4)*2i - (d^3*(d*tan(e + f*x))^(1/2))/(2*(a^2*d*f + a^2*d*f*tan(e + f*x))) + (atan(((d*tan(e + f*x))^(1/2)*(-d^5)^(1/2)*1i)/d^3)*(-d^5)^(1/2)*3i)/(2*a^2*f)","B"
365,1,375,279,4.606533,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x))^2,x)","\frac{\mathrm{atan}\left(\frac{4\,d^{16}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^6}{a^8\,f^4}\right)}^{1/4}}{\frac{4\,d^{18}}{a^2\,f}+4\,a^2\,d^{15}\,f\,\sqrt{-\frac{d^6}{a^8\,f^4}}}+\frac{4\,d^{13}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^6}{a^8\,f^4}\right)}^{3/4}}{\frac{4\,d^{18}}{a^6\,f^3}+\frac{4\,d^{15}\,\sqrt{-\frac{d^6}{a^8\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{d^6}{a^8\,f^4}\right)}^{1/4}}{2}+\mathrm{atan}\left(\frac{d^{16}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^6}{256\,a^8\,f^4}\right)}^{1/4}\,16{}\mathrm{i}}{\frac{4\,d^{18}}{a^2\,f}-64\,a^2\,d^{15}\,f\,\sqrt{-\frac{d^6}{256\,a^8\,f^4}}}-\frac{d^{13}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^6}{256\,a^8\,f^4}\right)}^{3/4}\,256{}\mathrm{i}}{\frac{4\,d^{18}}{a^6\,f^3}-\frac{64\,d^{15}\,\sqrt{-\frac{d^6}{256\,a^8\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{d^6}{256\,a^8\,f^4}\right)}^{1/4}\,2{}\mathrm{i}+\frac{d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\left(a^2\,d\,f+a^2\,d\,f\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-d^3}\,1{}\mathrm{i}}{d^2}\right)\,\sqrt{-d^3}\,1{}\mathrm{i}}{2\,a^2\,f}","Not used",1,"(atan((4*d^16*(d*tan(e + f*x))^(1/2)*(-d^6/(a^8*f^4))^(1/4))/((4*d^18)/(a^2*f) + 4*a^2*d^15*f*(-d^6/(a^8*f^4))^(1/2)) + (4*d^13*(d*tan(e + f*x))^(1/2)*(-d^6/(a^8*f^4))^(3/4))/((4*d^18)/(a^6*f^3) + (4*d^15*(-d^6/(a^8*f^4))^(1/2))/(a^2*f)))*(-d^6/(a^8*f^4))^(1/4))/2 + atan((d^16*(d*tan(e + f*x))^(1/2)*(-d^6/(256*a^8*f^4))^(1/4)*16i)/((4*d^18)/(a^2*f) - 64*a^2*d^15*f*(-d^6/(256*a^8*f^4))^(1/2)) - (d^13*(d*tan(e + f*x))^(1/2)*(-d^6/(256*a^8*f^4))^(3/4)*256i)/((4*d^18)/(a^6*f^3) - (64*d^15*(-d^6/(256*a^8*f^4))^(1/2))/(a^2*f)))*(-d^6/(256*a^8*f^4))^(1/4)*2i + (d^2*(d*tan(e + f*x))^(1/2))/(2*(a^2*d*f + a^2*d*f*tan(e + f*x))) - (atan(((d*tan(e + f*x))^(1/2)*(-d^3)^(1/2)*1i)/d^2)*(-d^3)^(1/2)*1i)/(2*a^2*f)","B"
366,1,367,278,4.577714,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x))^2,x)","-\frac{\mathrm{atan}\left(\frac{4\,d^{12}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^2}{a^8\,f^4}\right)}^{1/4}}{\frac{4\,d^{13}}{a^2\,f}-4\,a^2\,d^{12}\,f\,\sqrt{-\frac{d^2}{a^8\,f^4}}}+\frac{4\,d^{11}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^2}{a^8\,f^4}\right)}^{3/4}}{\frac{4\,d^{13}}{a^6\,f^3}-\frac{4\,d^{12}\,\sqrt{-\frac{d^2}{a^8\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{d^2}{a^8\,f^4}\right)}^{1/4}}{2}-\mathrm{atan}\left(\frac{d^{12}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^2}{256\,a^8\,f^4}\right)}^{1/4}\,16{}\mathrm{i}}{\frac{4\,d^{13}}{a^2\,f}+64\,a^2\,d^{12}\,f\,\sqrt{-\frac{d^2}{256\,a^8\,f^4}}}-\frac{d^{11}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{d^2}{256\,a^8\,f^4}\right)}^{3/4}\,256{}\mathrm{i}}{\frac{4\,d^{13}}{a^6\,f^3}+\frac{64\,d^{12}\,\sqrt{-\frac{d^2}{256\,a^8\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{d^2}{256\,a^8\,f^4}\right)}^{1/4}\,2{}\mathrm{i}-\frac{d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\left(a^2\,d\,f+a^2\,d\,f\,\mathrm{tan}\left(e+f\,x\right)\right)}+\frac{\sqrt{-d}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{-d}}\right)\,1{}\mathrm{i}}{2\,a^2\,f}","Not used",1,"((-d)^(1/2)*atan(((d*tan(e + f*x))^(1/2)*1i)/(-d)^(1/2))*1i)/(2*a^2*f) - atan((d^12*(d*tan(e + f*x))^(1/2)*(-d^2/(256*a^8*f^4))^(1/4)*16i)/((4*d^13)/(a^2*f) + 64*a^2*d^12*f*(-d^2/(256*a^8*f^4))^(1/2)) - (d^11*(d*tan(e + f*x))^(1/2)*(-d^2/(256*a^8*f^4))^(3/4)*256i)/((4*d^13)/(a^6*f^3) + (64*d^12*(-d^2/(256*a^8*f^4))^(1/2))/(a^2*f)))*(-d^2/(256*a^8*f^4))^(1/4)*2i - (d*(d*tan(e + f*x))^(1/2))/(2*(a^2*d*f + a^2*d*f*tan(e + f*x))) - (atan((4*d^12*(d*tan(e + f*x))^(1/2)*(-d^2/(a^8*f^4))^(1/4))/((4*d^13)/(a^2*f) - 4*a^2*d^12*f*(-d^2/(a^8*f^4))^(1/2)) + (4*d^11*(d*tan(e + f*x))^(1/2)*(-d^2/(a^8*f^4))^(3/4))/((4*d^13)/(a^6*f^3) - (4*d^12*(-d^2/(a^8*f^4))^(1/2))/(a^2*f)))*(-d^2/(a^8*f^4))^(1/4))/2","B"
367,1,365,281,4.646249,"\text{Not used}","int(1/((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x))^2),x)","\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\left(a^2\,d\,f+a^2\,d\,f\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{\mathrm{atan}\left(\frac{4\,d^8\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{a^8\,d^2\,f^4}\right)}^{1/4}}{\frac{4\,d^8}{a^2\,f}+36\,a^2\,d^9\,f\,\sqrt{-\frac{1}{a^8\,d^2\,f^4}}}+\frac{36\,d^9\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{a^8\,d^2\,f^4}\right)}^{3/4}}{\frac{4\,d^8}{a^6\,f^3}+\frac{36\,d^9\,\sqrt{-\frac{1}{a^8\,d^2\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{1}{a^8\,d^2\,f^4}\right)}^{1/4}}{2}-\mathrm{atan}\left(\frac{d^8\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{256\,a^8\,d^2\,f^4}\right)}^{1/4}\,16{}\mathrm{i}}{\frac{4\,d^8}{a^2\,f}-576\,a^2\,d^9\,f\,\sqrt{-\frac{1}{256\,a^8\,d^2\,f^4}}}-\frac{d^9\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{256\,a^8\,d^2\,f^4}\right)}^{3/4}\,2304{}\mathrm{i}}{\frac{4\,d^8}{a^6\,f^3}-\frac{576\,d^9\,\sqrt{-\frac{1}{256\,a^8\,d^2\,f^4}}}{a^2\,f}}\right)\,{\left(-\frac{1}{256\,a^8\,d^2\,f^4}\right)}^{1/4}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{-d}}\right)\,3{}\mathrm{i}}{2\,a^2\,\sqrt{-d}\,f}","Not used",1,"(d*tan(e + f*x))^(1/2)/(2*(a^2*d*f + a^2*d*f*tan(e + f*x))) - (atan((4*d^8*(d*tan(e + f*x))^(1/2)*(-1/(a^8*d^2*f^4))^(1/4))/((4*d^8)/(a^2*f) + 36*a^2*d^9*f*(-1/(a^8*d^2*f^4))^(1/2)) + (36*d^9*(d*tan(e + f*x))^(1/2)*(-1/(a^8*d^2*f^4))^(3/4))/((4*d^8)/(a^6*f^3) + (36*d^9*(-1/(a^8*d^2*f^4))^(1/2))/(a^2*f)))*(-1/(a^8*d^2*f^4))^(1/4))/2 - atan((d^8*(d*tan(e + f*x))^(1/2)*(-1/(256*a^8*d^2*f^4))^(1/4)*16i)/((4*d^8)/(a^2*f) - 576*a^2*d^9*f*(-1/(256*a^8*d^2*f^4))^(1/2)) - (d^9*(d*tan(e + f*x))^(1/2)*(-1/(256*a^8*d^2*f^4))^(3/4)*2304i)/((4*d^8)/(a^6*f^3) - (576*d^9*(-1/(256*a^8*d^2*f^4))^(1/2))/(a^2*f)))*(-1/(256*a^8*d^2*f^4))^(1/4)*2i + (atan(((d*tan(e + f*x))^(1/2)*1i)/(-d)^(1/2))*3i)/(2*a^2*(-d)^(1/2)*f)","B"
368,1,415,306,4.715283,"\text{Not used}","int(1/((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x))^2),x)","\frac{\mathrm{atan}\left(\frac{2048\,a^{10}\,d^{13}\,f^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{a^8\,d^6\,f^4}\right)}^{1/4}}{51200\,a^8\,d^{12}\,f^4-2048\,a^{12}\,d^{15}\,f^6\,\sqrt{-\frac{1}{a^8\,d^6\,f^4}}}+\frac{51200\,a^{14}\,d^{16}\,f^7\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{a^8\,d^6\,f^4}\right)}^{3/4}}{51200\,a^8\,d^{12}\,f^4-2048\,a^{12}\,d^{15}\,f^6\,\sqrt{-\frac{1}{a^8\,d^6\,f^4}}}\right)\,{\left(-\frac{1}{a^8\,d^6\,f^4}\right)}^{1/4}}{2}+\mathrm{atan}\left(\frac{a^{10}\,d^{13}\,f^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{256\,a^8\,d^6\,f^4}\right)}^{1/4}\,8192{}\mathrm{i}}{51200\,a^8\,d^{12}\,f^4+32768\,a^{12}\,d^{15}\,f^6\,\sqrt{-\frac{1}{256\,a^8\,d^6\,f^4}}}-\frac{a^{14}\,d^{16}\,f^7\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{256\,a^8\,d^6\,f^4}\right)}^{3/4}\,3276800{}\mathrm{i}}{51200\,a^8\,d^{12}\,f^4+32768\,a^{12}\,d^{15}\,f^6\,\sqrt{-\frac{1}{256\,a^8\,d^6\,f^4}}}\right)\,{\left(-\frac{1}{256\,a^8\,d^6\,f^4}\right)}^{1/4}\,2{}\mathrm{i}-\frac{\frac{5\,\mathrm{tan}\left(e+f\,x\right)}{2}+2}{a^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}+a^2\,d\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-d^3}\,1{}\mathrm{i}}{d^2}\right)\,\sqrt{-d^3}\,5{}\mathrm{i}}{2\,a^2\,d^3\,f}","Not used",1,"(atan((2048*a^10*d^13*f^5*(d*tan(e + f*x))^(1/2)*(-1/(a^8*d^6*f^4))^(1/4))/(51200*a^8*d^12*f^4 - 2048*a^12*d^15*f^6*(-1/(a^8*d^6*f^4))^(1/2)) + (51200*a^14*d^16*f^7*(d*tan(e + f*x))^(1/2)*(-1/(a^8*d^6*f^4))^(3/4))/(51200*a^8*d^12*f^4 - 2048*a^12*d^15*f^6*(-1/(a^8*d^6*f^4))^(1/2)))*(-1/(a^8*d^6*f^4))^(1/4))/2 + atan((a^10*d^13*f^5*(d*tan(e + f*x))^(1/2)*(-1/(256*a^8*d^6*f^4))^(1/4)*8192i)/(51200*a^8*d^12*f^4 + 32768*a^12*d^15*f^6*(-1/(256*a^8*d^6*f^4))^(1/2)) - (a^14*d^16*f^7*(d*tan(e + f*x))^(1/2)*(-1/(256*a^8*d^6*f^4))^(3/4)*3276800i)/(51200*a^8*d^12*f^4 + 32768*a^12*d^15*f^6*(-1/(256*a^8*d^6*f^4))^(1/2)))*(-1/(256*a^8*d^6*f^4))^(1/4)*2i - ((5*tan(e + f*x))/2 + 2)/(a^2*f*(d*tan(e + f*x))^(3/2) + a^2*d*f*(d*tan(e + f*x))^(1/2)) - (atan(((d*tan(e + f*x))^(1/2)*(-d^3)^(1/2)*1i)/d^2)*(-d^3)^(1/2)*5i)/(2*a^2*d^3*f)","B"
369,1,424,331,4.982797,"\text{Not used}","int(1/((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x))^2),x)","\frac{\frac{9\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2}+\frac{10\,\mathrm{tan}\left(e+f\,x\right)}{3}-\frac{2}{3}}{a^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}+a^2\,d\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{\mathrm{atan}\left(\frac{2048\,a^{10}\,d^{18}\,f^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{a^8\,d^{10}\,f^4}\right)}^{1/4}}{2048\,a^8\,d^{16}\,f^4+100352\,a^{12}\,d^{21}\,f^6\,\sqrt{-\frac{1}{a^8\,d^{10}\,f^4}}}+\frac{100352\,a^{14}\,d^{23}\,f^7\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{a^8\,d^{10}\,f^4}\right)}^{3/4}}{2048\,a^8\,d^{16}\,f^4+100352\,a^{12}\,d^{21}\,f^6\,\sqrt{-\frac{1}{a^8\,d^{10}\,f^4}}}\right)\,{\left(-\frac{1}{a^8\,d^{10}\,f^4}\right)}^{1/4}}{2}+\mathrm{atan}\left(\frac{a^{10}\,d^{18}\,f^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{256\,a^8\,d^{10}\,f^4}\right)}^{1/4}\,8192{}\mathrm{i}}{2048\,a^8\,d^{16}\,f^4-1605632\,a^{12}\,d^{21}\,f^6\,\sqrt{-\frac{1}{256\,a^8\,d^{10}\,f^4}}}-\frac{a^{14}\,d^{23}\,f^7\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(-\frac{1}{256\,a^8\,d^{10}\,f^4}\right)}^{3/4}\,6422528{}\mathrm{i}}{2048\,a^8\,d^{16}\,f^4-1605632\,a^{12}\,d^{21}\,f^6\,\sqrt{-\frac{1}{256\,a^8\,d^{10}\,f^4}}}\right)\,{\left(-\frac{1}{256\,a^8\,d^{10}\,f^4}\right)}^{1/4}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-d^5}\,1{}\mathrm{i}}{d^3}\right)\,\sqrt{-d^5}\,7{}\mathrm{i}}{2\,a^2\,d^5\,f}","Not used",1,"((10*tan(e + f*x))/3 + (9*tan(e + f*x)^2)/2 - 2/3)/(a^2*f*(d*tan(e + f*x))^(5/2) + a^2*d*f*(d*tan(e + f*x))^(3/2)) + (atan((2048*a^10*d^18*f^5*(d*tan(e + f*x))^(1/2)*(-1/(a^8*d^10*f^4))^(1/4))/(2048*a^8*d^16*f^4 + 100352*a^12*d^21*f^6*(-1/(a^8*d^10*f^4))^(1/2)) + (100352*a^14*d^23*f^7*(d*tan(e + f*x))^(1/2)*(-1/(a^8*d^10*f^4))^(3/4))/(2048*a^8*d^16*f^4 + 100352*a^12*d^21*f^6*(-1/(a^8*d^10*f^4))^(1/2)))*(-1/(a^8*d^10*f^4))^(1/4))/2 + atan((a^10*d^18*f^5*(d*tan(e + f*x))^(1/2)*(-1/(256*a^8*d^10*f^4))^(1/4)*8192i)/(2048*a^8*d^16*f^4 - 1605632*a^12*d^21*f^6*(-1/(256*a^8*d^10*f^4))^(1/2)) - (a^14*d^23*f^7*(d*tan(e + f*x))^(1/2)*(-1/(256*a^8*d^10*f^4))^(3/4)*6422528i)/(2048*a^8*d^16*f^4 - 1605632*a^12*d^21*f^6*(-1/(256*a^8*d^10*f^4))^(1/2)))*(-1/(256*a^8*d^10*f^4))^(1/4)*2i + (atan(((d*tan(e + f*x))^(1/2)*(-d^5)^(1/2)*1i)/d^3)*(-d^5)^(1/2)*7i)/(2*a^2*d^5*f)","B"
370,1,176,189,4.947741,"\text{Not used}","int((d*tan(e + f*x))^(9/2)/(a + a*tan(e + f*x))^3,x)","\frac{\frac{11\,d^6\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8}+\frac{13\,d^5\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8}}{f\,a^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,f\,a^3\,d^2\,\mathrm{tan}\left(e+f\,x\right)+f\,a^3\,d^2}+\frac{2\,d^4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{a^3\,f}-\frac{31\,d^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}-\frac{\sqrt{2}\,d^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,d^{49/2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,969{}\mathrm{i}}{32\,\left(\frac{969\,d^{25}\,\mathrm{tan}\left(e+f\,x\right)}{32}+\frac{969\,d^{25}}{32}\right)}\right)\,1{}\mathrm{i}}{4\,a^3\,f}","Not used",1,"((11*d^6*(d*tan(e + f*x))^(1/2))/8 + (13*d^5*(d*tan(e + f*x))^(3/2))/8)/(a^3*d^2*f + a^3*d^2*f*tan(e + f*x)^2 + 2*a^3*d^2*f*tan(e + f*x)) + (2*d^4*(d*tan(e + f*x))^(1/2))/(a^3*f) - (31*d^(9/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*f) - (2^(1/2)*d^(9/2)*atan((2^(1/2)*d^(49/2)*(d*tan(e + f*x))^(1/2)*969i)/(32*((969*d^25*tan(e + f*x))/32 + (969*d^25)/32)))*1i)/(4*a^3*f)","B"
371,1,178,165,4.856138,"\text{Not used}","int((d*tan(e + f*x))^(7/2)/(a + a*tan(e + f*x))^3,x)","\frac{11\,d^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}-\frac{\frac{7\,d^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8}+\frac{9\,d^4\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8}}{f\,a^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,f\,a^3\,d^2\,\mathrm{tan}\left(e+f\,x\right)+f\,a^3\,d^2}-\frac{\sqrt{2}\,d^{7/2}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{8\,a^3\,f}","Not used",1,"(11*d^(7/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*f) - ((7*d^5*(d*tan(e + f*x))^(1/2))/8 + (9*d^4*(d*tan(e + f*x))^(3/2))/8)/(a^3*d^2*f + a^3*d^2*f*tan(e + f*x)^2 + 2*a^3*d^2*f*tan(e + f*x)) - (2^(1/2)*d^(7/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(8*a^3*f)","B"
372,1,153,164,4.796335,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x))^3,x)","\frac{\frac{3\,d^4\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8}+\frac{5\,d^3\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8}}{f\,a^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,f\,a^3\,d^2\,\mathrm{tan}\left(e+f\,x\right)+f\,a^3\,d^2}+\frac{d^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}-\frac{\sqrt{2}\,d^{5/2}\,\mathrm{atanh}\left(\frac{9\,\sqrt{2}\,d^{33/2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{32\,\left(\frac{9\,d^{17}\,\mathrm{tan}\left(e+f\,x\right)}{32}+\frac{9\,d^{17}}{32}\right)}\right)}{4\,a^3\,f}","Not used",1,"((3*d^4*(d*tan(e + f*x))^(1/2))/8 + (5*d^3*(d*tan(e + f*x))^(3/2))/8)/(a^3*d^2*f + a^3*d^2*f*tan(e + f*x)^2 + 2*a^3*d^2*f*tan(e + f*x)) + (d^(5/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*f) - (2^(1/2)*d^(5/2)*atanh((9*2^(1/2)*d^(33/2)*(d*tan(e + f*x))^(1/2))/(32*((9*d^17*tan(e + f*x))/32 + (9*d^17)/32))))/(4*a^3*f)","B"
373,1,177,164,4.768122,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x))^3,x)","\frac{\frac{d^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8}-\frac{d^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8}}{f\,a^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,f\,a^3\,d^2\,\mathrm{tan}\left(e+f\,x\right)+f\,a^3\,d^2}-\frac{5\,d^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}+\frac{\sqrt{2}\,d^{3/2}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{8\,a^3\,f}","Not used",1,"((d^3*(d*tan(e + f*x))^(1/2))/8 - (d^2*(d*tan(e + f*x))^(3/2))/8)/(a^3*d^2*f + a^3*d^2*f*tan(e + f*x)^2 + 2*a^3*d^2*f*tan(e + f*x)) - (5*d^(3/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*f) + (2^(1/2)*d^(3/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(8*a^3*f)","B"
374,1,152,161,4.677209,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x))^3,x)","\frac{\sqrt{d}\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,f}-\frac{\frac{3\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8}+\frac{5\,d^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8}}{f\,a^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,f\,a^3\,d^2\,\mathrm{tan}\left(e+f\,x\right)+f\,a^3\,d^2}+\frac{\sqrt{2}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{9\,\sqrt{2}\,d^{17/2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{32\,\left(\frac{9\,d^9\,\mathrm{tan}\left(e+f\,x\right)}{32}+\frac{9\,d^9}{32}\right)}\right)}{4\,a^3\,f}","Not used",1,"(d^(1/2)*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*f) - ((3*d*(d*tan(e + f*x))^(3/2))/8 + (5*d^2*(d*tan(e + f*x))^(1/2))/8)/(a^3*d^2*f + a^3*d^2*f*tan(e + f*x)^2 + 2*a^3*d^2*f*tan(e + f*x)) + (2^(1/2)*d^(1/2)*atanh((9*2^(1/2)*d^(17/2)*(d*tan(e + f*x))^(1/2))/(32*((9*d^9*tan(e + f*x))/32 + (9*d^9)/32))))/(4*a^3*f)","B"
375,1,172,165,4.776446,"\text{Not used}","int(1/((d*tan(e + f*x))^(1/2)*(a + a*tan(e + f*x))^3),x)","\frac{\frac{9\,d\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{8}+\frac{7\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8}}{f\,a^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,f\,a^3\,d^2\,\mathrm{tan}\left(e+f\,x\right)+f\,a^3\,d^2}+\frac{11\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,\sqrt{d}\,f}-\frac{\sqrt{2}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{8\,a^3\,\sqrt{d}\,f}","Not used",1,"((9*d*(d*tan(e + f*x))^(1/2))/8 + (7*(d*tan(e + f*x))^(3/2))/8)/(a^3*d^2*f + a^3*d^2*f*tan(e + f*x)^2 + 2*a^3*d^2*f*tan(e + f*x)) + (11*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*d^(1/2)*f) - (2^(1/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(8*a^3*d^(1/2)*f)","B"
376,1,176,189,4.822387,"\text{Not used}","int(1/((d*tan(e + f*x))^(3/2)*(a + a*tan(e + f*x))^3),x)","-\frac{\frac{27\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8}+\frac{45\,d\,\mathrm{tan}\left(e+f\,x\right)}{8}+2\,d}{a^3\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}+2\,a^3\,d\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}+a^3\,d^2\,f\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}-\frac{31\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,d^{3/2}\,f}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{63504384\,\sqrt{2}\,a^9\,d^{15/2}\,f^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{63504384\,a^9\,d^8\,f^3+63504384\,a^9\,d^8\,f^3\,\mathrm{tan}\left(e+f\,x\right)}\right)}{4\,a^3\,d^{3/2}\,f}","Not used",1,"- (2*d + (45*d*tan(e + f*x))/8 + (27*d*tan(e + f*x)^2)/8)/(a^3*f*(d*tan(e + f*x))^(5/2) + 2*a^3*d*f*(d*tan(e + f*x))^(3/2) + a^3*d^2*f*(d*tan(e + f*x))^(1/2)) - (31*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*d^(3/2)*f) - (2^(1/2)*atanh((63504384*2^(1/2)*a^9*d^(15/2)*f^3*(d*tan(e + f*x))^(1/2))/(63504384*a^9*d^8*f^3 + 63504384*a^9*d^8*f^3*tan(e + f*x))))/(4*a^3*d^(3/2)*f)","B"
377,1,192,215,5.016359,"\text{Not used}","int(1/((d*tan(e + f*x))^(5/2)*(a + a*tan(e + f*x))^3),x)","\frac{\frac{63\,d\,{\mathrm{tan}\left(e+f\,x\right)}^3}{8}+\frac{323\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2}{24}+\frac{14\,d\,\mathrm{tan}\left(e+f\,x\right)}{3}-\frac{2\,d}{3}}{a^3\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}+2\,a^3\,d\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}+a^3\,d^2\,f\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{59\,\mathrm{atan}\left(\frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{8\,a^3\,d^{5/2}\,f}+\frac{\sqrt{2}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d}}+\frac{\sqrt{2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{2\,d^{3/2}}\right)\right)}{8\,a^3\,d^{5/2}\,f}","Not used",1,"((14*d*tan(e + f*x))/3 - (2*d)/3 + (323*d*tan(e + f*x)^2)/24 + (63*d*tan(e + f*x)^3)/8)/(a^3*f*(d*tan(e + f*x))^(7/2) + 2*a^3*d*f*(d*tan(e + f*x))^(5/2) + a^3*d^2*f*(d*tan(e + f*x))^(3/2)) + (59*atan((d*tan(e + f*x))^(1/2)/d^(1/2)))/(8*a^3*d^(5/2)*f) + (2^(1/2)*(2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2))) + 2*atan((2^(1/2)*(d*tan(e + f*x))^(1/2))/(2*d^(1/2)) + (2^(1/2)*(d*tan(e + f*x))^(3/2))/(2*d^(3/2)))))/(8*a^3*d^(5/2)*f)","B"
378,1,135,264,6.025713,"\text{Not used}","int(tan(e + f*x)^5*(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}+\frac{4\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{5\,f}-\frac{6\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{7\,f}+\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{9/2}}{9\,f}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1-\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(1/2))/f + (4*(tan(e + f*x) + 1)^(5/2))/(5*f) - (6*(tan(e + f*x) + 1)^(7/2))/(7*f) + (2*(tan(e + f*x) + 1)^(9/2))/(9*f) - atan(f*((1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 - 1i))*((1/4 - 1i/4)/f^2)^(1/2)*2i + atan(f*((1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((1/4 + 1i/4)/f^2)^(1/2)*2i","B"
379,1,120,208,4.574407,"\text{Not used}","int(tan(e + f*x)^3*(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{5\,f}-\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}-\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1-\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(5/2))/(5*f) - (2*(tan(e + f*x) + 1)^(3/2))/(3*f) - (2*(tan(e + f*x) + 1)^(1/2))/f + atan(f*((1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 - 1i))*((1/4 - 1i/4)/f^2)^(1/2)*2i - atan(f*((1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((1/4 + 1i/4)/f^2)^(1/2)*2i","B"
380,1,90,166,4.100071,"\text{Not used}","int(tan(e + f*x)*(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1-\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(1/2))/f - atan(f*((1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 - 1i))*((1/4 - 1i/4)/f^2)^(1/2)*2i + atan(f*((1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((1/4 + 1i/4)/f^2)^(1/2)*2i","B"
381,1,90,165,0.164400,"\text{Not used}","int(cot(e + f*x)*(tan(e + f*x) + 1)^(1/2),x)","-\frac{2\,\mathrm{atanh}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)}{f}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+2\,\mathrm{atanh}\left(f\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}","Not used",1,"2*atanh(f*((1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((1/4 - 1i/4)/f^2)^(1/2) - atan(f*((1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((1/4 + 1i/4)/f^2)^(1/2)*2i - (2*atanh((tan(e + f*x) + 1)^(1/2)))/f","B"
382,1,149,221,0.188520,"\text{Not used}","int(cot(e + f*x)^3*(tan(e + f*x) + 1)^(1/2),x)","-\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{4\,f}-\frac{\frac{\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{4}+\frac{{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{4}}{f-2\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1-\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"atan(f*((1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((1/4 + 1i/4)/f^2)^(1/2)*2i - ((tan(e + f*x) + 1)^(1/2)/4 + (tan(e + f*x) + 1)^(3/2)/4)/(f - 2*f*(tan(e + f*x) + 1) + f*(tan(e + f*x) + 1)^2) - atan(f*((1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 - 1i))*((1/4 - 1i/4)/f^2)^(1/2)*2i - (atan((tan(e + f*x) + 1)^(1/2)*1i)*9i)/(4*f)","B"
383,1,198,273,0.197979,"\text{Not used}","int(cot(e + f*x)^5*(tan(e + f*x) + 1)^(1/2),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,139{}\mathrm{i}}{64\,f}+\frac{\frac{11\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{64}-\frac{121\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{192}+\frac{7\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{192}+\frac{11\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{64}}{f-4\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+6\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2-4\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^3+f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^4}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1-\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(atan((tan(e + f*x) + 1)^(1/2)*1i)*139i)/(64*f) + ((11*(tan(e + f*x) + 1)^(1/2))/64 - (121*(tan(e + f*x) + 1)^(3/2))/192 + (7*(tan(e + f*x) + 1)^(5/2))/192 + (11*(tan(e + f*x) + 1)^(7/2))/64)/(f - 4*f*(tan(e + f*x) + 1) + 6*f*(tan(e + f*x) + 1)^2 - 4*f*(tan(e + f*x) + 1)^3 + f*(tan(e + f*x) + 1)^4) + atan(f*((1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 - 1i))*((1/4 - 1i/4)/f^2)^(1/2)*2i - atan(f*((1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((1/4 + 1i/4)/f^2)^(1/2)*2i","B"
384,1,107,318,5.108529,"\text{Not used}","int(tan(e + f*x)^4*(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{7\,f}-\frac{4\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{5\,f}-\mathrm{atan}\left(f^3\,{\left(\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}\right)}^{3/2}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,4{}\mathrm{i}\right)\,\sqrt{\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f^3\,{\left(\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}\right)}^{3/2}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,4{}\mathrm{i}\right)\,\sqrt{\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(7/2))/(7*f) - atan(f^3*((- 1/4 + 1i/4)/f^2)^(3/2)*(tan(e + f*x) + 1)^(1/2)*4i)*((- 1/4 + 1i/4)/f^2)^(1/2)*2i - (4*(tan(e + f*x) + 1)^(5/2))/(5*f) - atan(f^3*((- 1/4 - 1i/4)/f^2)^(3/2)*(tan(e + f*x) + 1)^(1/2)*4i)*((- 1/4 - 1i/4)/f^2)^(1/2)*2i","B"
385,1,88,266,4.136664,"\text{Not used}","int(tan(e + f*x)^2*(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}-2\,\mathrm{atanh}\left(4\,f^3\,{\left(\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}\right)}^{3/2}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}-2\,\mathrm{atanh}\left(4\,f^3\,{\left(\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}\right)}^{3/2}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}","Not used",1,"(2*(tan(e + f*x) + 1)^(3/2))/(3*f) - 2*atanh(4*f^3*((- 1/4 + 1i/4)/f^2)^(3/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/4 + 1i/4)/f^2)^(1/2) - 2*atanh(4*f^3*((- 1/4 - 1i/4)/f^2)^(3/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/4 - 1i/4)/f^2)^(1/2)","B"
386,1,73,247,0.184498,"\text{Not used}","int((tan(e + f*x) + 1)^(1/2),x)","2\,\mathrm{atanh}\left(4\,f^3\,{\left(\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}\right)}^{3/2}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}+2\,\mathrm{atanh}\left(4\,f^3\,{\left(\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}\right)}^{3/2}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}","Not used",1,"2*atanh(4*f^3*((- 1/4 - 1i/4)/f^2)^(3/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/4 - 1i/4)/f^2)^(1/2) + 2*atanh(4*f^3*((- 1/4 + 1i/4)/f^2)^(3/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/4 + 1i/4)/f^2)^(1/2)","B"
387,1,121,288,3.893079,"\text{Not used}","int(cot(e + f*x)^2*(tan(e + f*x) + 1)^(1/2),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{f}+\frac{\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f-f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1-\mathrm{i}\right)\right)\,\sqrt{\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(atan((tan(e + f*x) + 1)^(1/2)*1i)*1i)/f + (tan(e + f*x) + 1)^(1/2)/(f - f*(tan(e + f*x) + 1)) + atan(f*((- 1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 - 1i))*((- 1/4 - 1i/4)/f^2)^(1/2)*2i - atan(f*((- 1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((- 1/4 + 1i/4)/f^2)^(1/2)*2i","B"
388,1,175,346,0.191227,"\text{Not used}","int(cot(e + f*x)^4*(tan(e + f*x) + 1)^(1/2),x)","-\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{8\,f}-\frac{\frac{7\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{8}-\frac{7\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3}+\frac{9\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{8}}{f-3\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+3\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2-f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^3}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1-\mathrm{i}\right)\right)\,\sqrt{\frac{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,\left(1+1{}\mathrm{i}\right)\right)\,\sqrt{\frac{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"atan(f*((- 1/4 + 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 + 1i))*((- 1/4 + 1i/4)/f^2)^(1/2)*2i - ((7*(tan(e + f*x) + 1)^(1/2))/8 - (7*(tan(e + f*x) + 1)^(3/2))/3 + (9*(tan(e + f*x) + 1)^(5/2))/8)/(f - 3*f*(tan(e + f*x) + 1) + 3*f*(tan(e + f*x) + 1)^2 - f*(tan(e + f*x) + 1)^3) - atan(f*((- 1/4 - 1i/4)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*(1 - 1i))*((- 1/4 - 1i/4)/f^2)^(1/2)*2i - (atan((tan(e + f*x) + 1)^(1/2)*1i)*7i)/(8*f)","B"
389,1,144,369,6.895422,"\text{Not used}","int(tan(e + f*x)^5*(tan(e + f*x) + 1)^(3/2),x)","\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}+\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}+\frac{4\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{7\,f}-\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{9/2}}{3\,f}+\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{11/2}}{11\,f}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(1/2))/f + (2*(tan(e + f*x) + 1)^(3/2))/(3*f) + (4*(tan(e + f*x) + 1)^(7/2))/(7*f) - (2*(tan(e + f*x) + 1)^(9/2))/(3*f) + (2*(tan(e + f*x) + 1)^(11/2))/(11*f) - atan(f*((- 1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 - 1i/2)/f^2)^(1/2)*2i + atan(f*((- 1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 + 1i/2)/f^2)^(1/2)*2i","B"
390,1,129,315,5.244446,"\text{Not used}","int(tan(e + f*x)^3*(tan(e + f*x) + 1)^(3/2),x)","\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{7\,f}-\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}-\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{5\,f}-\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(7/2))/(7*f) - (2*(tan(e + f*x) + 1)^(3/2))/(3*f) - (2*(tan(e + f*x) + 1)^(5/2))/(5*f) - (2*(tan(e + f*x) + 1)^(1/2))/f + atan(f*((- 1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 - 1i/2)/f^2)^(1/2)*2i - atan(f*((- 1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 + 1i/2)/f^2)^(1/2)*2i","B"
391,1,99,271,4.374689,"\text{Not used}","int(tan(e + f*x)*(tan(e + f*x) + 1)^(3/2),x)","\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}+\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(1/2))/f + (2*(tan(e + f*x) + 1)^(3/2))/(3*f) - atan(f*((- 1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 - 1i/2)/f^2)^(1/2)*2i + atan(f*((- 1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 + 1i/2)/f^2)^(1/2)*2i","B"
392,1,85,253,0.153367,"\text{Not used}","int(cot(e + f*x)*(tan(e + f*x) + 1)^(3/2),x)","-\frac{2\,\mathrm{atanh}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)}{f}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"atan(f*((- 1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 - 1i/2)/f^2)^(1/2)*2i - (2*atanh((tan(e + f*x) + 1)^(1/2)))/f - atan(f*((- 1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 + 1i/2)/f^2)^(1/2)*2i","B"
393,1,142,307,3.974607,"\text{Not used}","int(cot(e + f*x)^3*(tan(e + f*x) + 1)^(3/2),x)","\frac{\frac{3\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{4}-\frac{5\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{4}}{f-2\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2}-\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{4\,f}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"((3*(tan(e + f*x) + 1)^(1/2))/4 - (5*(tan(e + f*x) + 1)^(3/2))/4)/(f - 2*f*(tan(e + f*x) + 1) + f*(tan(e + f*x) + 1)^2) - (atan((tan(e + f*x) + 1)^(1/2)*1i)*5i)/(4*f) - atan(f*((- 1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 - 1i/2)/f^2)^(1/2)*2i + atan(f*((- 1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 + 1i/2)/f^2)^(1/2)*2i","B"
394,1,193,361,3.981237,"\text{Not used}","int(cot(e + f*x)^5*(tan(e + f*x) + 1)^(3/2),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,83{}\mathrm{i}}{64\,f}-\frac{\frac{45\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{64}-\frac{165\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{64}+\frac{219\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{64}-\frac{83\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{64}}{f-4\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+6\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2-4\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^3+f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^4}+\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(atan((tan(e + f*x) + 1)^(1/2)*1i)*83i)/(64*f) - ((45*(tan(e + f*x) + 1)^(1/2))/64 - (165*(tan(e + f*x) + 1)^(3/2))/64 + (219*(tan(e + f*x) + 1)^(5/2))/64 - (83*(tan(e + f*x) + 1)^(7/2))/64)/(f - 4*f*(tan(e + f*x) + 1) + 6*f*(tan(e + f*x) + 1)^2 - 4*f*(tan(e + f*x) + 1)^3 + f*(tan(e + f*x) + 1)^4) + atan(f*((- 1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 - 1i/2)/f^2)^(1/2)*2i - atan(f*((- 1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/2 + 1i/2)/f^2)^(1/2)*2i","B"
395,1,118,227,5.995226,"\text{Not used}","int(tan(e + f*x)^4*(tan(e + f*x) + 1)^(3/2),x)","\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}-\frac{4\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{7\,f}+\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{9/2}}{9\,f}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(1/2))/f - (4*(tan(e + f*x) + 1)^(7/2))/(7*f) + (2*(tan(e + f*x) + 1)^(9/2))/(9*f) + atan(f*((1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 - 1i/2)/f^2)^(1/2)*2i + atan(f*((1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 + 1i/2)/f^2)^(1/2)*2i","B"
396,1,103,173,0.884093,"\text{Not used}","int(tan(e + f*x)^2*(tan(e + f*x) + 1)^(3/2),x)","\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{5\,f}-\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(5/2))/(5*f) - (2*(tan(e + f*x) + 1)^(1/2))/f - atan(f*((1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 - 1i/2)/f^2)^(1/2)*2i - atan(f*((1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 + 1i/2)/f^2)^(1/2)*2i","B"
397,1,82,156,4.147340,"\text{Not used}","int((tan(e + f*x) + 1)^(3/2),x)","\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}-2\,\mathrm{atanh}\left(f\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}-2\,\mathrm{atanh}\left(f\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}","Not used",1,"(2*(tan(e + f*x) + 1)^(1/2))/f - 2*atanh(f*((1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((1/2 - 1i/2)/f^2)^(1/2) - 2*atanh(f*((1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((1/2 + 1i/2)/f^2)^(1/2)","B"
398,1,119,178,0.178053,"\text{Not used}","int(cot(e + f*x)^2*(tan(e + f*x) + 1)^(3/2),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{f}+\frac{\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f-f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(atan((tan(e + f*x) + 1)^(1/2)*1i)*3i)/f + (tan(e + f*x) + 1)^(1/2)/(f - f*(tan(e + f*x) + 1)) - atan(f*((1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 - 1i/2)/f^2)^(1/2)*2i - atan(f*((1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 + 1i/2)/f^2)^(1/2)*2i","B"
399,1,173,238,0.191498,"\text{Not used}","int(cot(e + f*x)^4*(tan(e + f*x) + 1)^(3/2),x)","-\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,25{}\mathrm{i}}{8\,f}-\frac{\frac{9\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{8}-\frac{7\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3}+\frac{7\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{8}}{f-3\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+3\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2-f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^3}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}-\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}+\frac{1}{2}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"atan(f*((1/2 - 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 - 1i/2)/f^2)^(1/2)*2i - ((9*(tan(e + f*x) + 1)^(1/2))/8 - (7*(tan(e + f*x) + 1)^(3/2))/3 + (7*(tan(e + f*x) + 1)^(5/2))/8)/(f - 3*f*(tan(e + f*x) + 1) + 3*f*(tan(e + f*x) + 1)^2 - f*(tan(e + f*x) + 1)^3) - (atan((tan(e + f*x) + 1)^(1/2)*1i)*25i)/(8*f) + atan(f*((1/2 + 1i/2)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*1i)*((1/2 + 1i/2)/f^2)^(1/2)*2i","B"
400,1,118,241,4.415595,"\text{Not used}","int(tan(e + f*x)^5/(tan(e + f*x) + 1)^(1/2),x)","\frac{4\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}-\frac{6\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{5\,f}+\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{7\,f}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(4*(tan(e + f*x) + 1)^(3/2))/(3*f) - (6*(tan(e + f*x) + 1)^(5/2))/(5*f) + (2*(tan(e + f*x) + 1)^(7/2))/(7*f) + atan(f*((1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 - 1i/8)/f^2)^(1/2)*2i + atan(f*((1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 + 1i/8)/f^2)^(1/2)*2i","B"
401,1,103,187,4.134038,"\text{Not used}","int(tan(e + f*x)^3/(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}-\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(3/2))/(3*f) - (2*(tan(e + f*x) + 1)^(1/2))/f - atan(f*((1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 - 1i/8)/f^2)^(1/2)*2i - atan(f*((1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 + 1i/8)/f^2)^(1/2)*2i","B"
402,1,69,143,0.258556,"\text{Not used}","int(tan(e + f*x)/(tan(e + f*x) + 1)^(1/2),x)","-2\,\mathrm{atanh}\left(2\,f\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}-2\,\mathrm{atanh}\left(2\,f\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}","Not used",1,"- 2*atanh(2*f*((1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((1/8 - 1i/8)/f^2)^(1/2) - 2*atanh(2*f*((1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((1/8 + 1i/8)/f^2)^(1/2)","B"
403,1,85,161,0.157198,"\text{Not used}","int(cot(e + f*x)/(tan(e + f*x) + 1)^(1/2),x)","-\frac{2\,\mathrm{atanh}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)}{f}+2\,\mathrm{atanh}\left(2\,f\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}+2\,\mathrm{atanh}\left(2\,f\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}","Not used",1,"2*atanh(2*f*((1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((1/8 - 1i/8)/f^2)^(1/2) - (2*atanh((tan(e + f*x) + 1)^(1/2)))/f + 2*atanh(2*f*((1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((1/8 + 1i/8)/f^2)^(1/2)","B"
404,1,147,215,4.170538,"\text{Not used}","int(cot(e + f*x)^3/(tan(e + f*x) + 1)^(1/2),x)","-\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{4\,f}-\frac{\frac{5\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{4}-\frac{3\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{4}}{f-2\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"atan(f*((1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 - 1i/8)/f^2)^(1/2)*2i - ((5*(tan(e + f*x) + 1)^(1/2))/4 - (3*(tan(e + f*x) + 1)^(3/2))/4)/(f - 2*f*(tan(e + f*x) + 1) + f*(tan(e + f*x) + 1)^2) - (atan((tan(e + f*x) + 1)^(1/2)*1i)*5i)/(4*f) + atan(f*((1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 + 1i/8)/f^2)^(1/2)*2i","B"
405,1,197,269,4.218970,"\text{Not used}","int(cot(e + f*x)^5/(tan(e + f*x) + 1)^(1/2),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,115{}\mathrm{i}}{64\,f}-\frac{\frac{13\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{64}+\frac{113\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{192}-\frac{143\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{192}+\frac{13\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{7/2}}{64}}{f-4\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+6\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2-4\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^3+f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^4}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(f\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,2{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(atan((tan(e + f*x) + 1)^(1/2)*1i)*115i)/(64*f) - ((13*(tan(e + f*x) + 1)^(1/2))/64 + (113*(tan(e + f*x) + 1)^(3/2))/192 - (143*(tan(e + f*x) + 1)^(5/2))/192 + (13*(tan(e + f*x) + 1)^(7/2))/64)/(f - 4*f*(tan(e + f*x) + 1) + 6*f*(tan(e + f*x) + 1)^2 - 4*f*(tan(e + f*x) + 1)^3 + f*(tan(e + f*x) + 1)^4) - atan(f*((1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 - 1i/8)/f^2)^(1/2)*2i - atan(f*((1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2)*2i)*((1/8 + 1i/8)/f^2)^(1/2)*2i","B"
406,1,101,311,0.553194,"\text{Not used}","int(tan(e + f*x)^4/(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{5\,f}-\frac{4\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3\,f}+\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(5/2))/(5*f) - (4*(tan(e + f*x) + 1)^(3/2))/(3*f) + atan(2*f*((- 1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 - 1i/8)/f^2)^(1/2)*2i - atan(2*f*((- 1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 + 1i/8)/f^2)^(1/2)*2i","B"
407,1,86,257,0.281253,"\text{Not used}","int(tan(e + f*x)^2/(tan(e + f*x) + 1)^(1/2),x)","\frac{2\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f}-\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(2*(tan(e + f*x) + 1)^(1/2))/f - atan(2*f*((- 1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 - 1i/8)/f^2)^(1/2)*2i + atan(2*f*((- 1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 + 1i/8)/f^2)^(1/2)*2i","B"
408,1,71,240,4.206806,"\text{Not used}","int(1/(tan(e + f*x) + 1)^(1/2),x)","\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"atan(2*f*((- 1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 - 1i/8)/f^2)^(1/2)*2i - atan(2*f*((- 1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 + 1i/8)/f^2)^(1/2)*2i","B"
409,1,117,280,0.173304,"\text{Not used}","int(cot(e + f*x)^2/(tan(e + f*x) + 1)^(1/2),x)","\frac{\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{f-f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}-\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{f}-\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(tan(e + f*x) + 1)^(1/2)/(f - f*(tan(e + f*x) + 1)) - (atan((tan(e + f*x) + 1)^(1/2)*1i)*1i)/f - atan(2*f*((- 1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 - 1i/8)/f^2)^(1/2)*2i + atan(2*f*((- 1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 + 1i/8)/f^2)^(1/2)*2i","B"
410,1,170,339,4.085413,"\text{Not used}","int(cot(e + f*x)^4/(tan(e + f*x) + 1)^(1/2),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,f}+\frac{\frac{3\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}}{8}+\frac{{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{3/2}}{3}-\frac{3\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^{5/2}}{8}}{f-3\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1\right)+3\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^2-f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1\right)}^3}+\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(2\,f\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,\sqrt{\mathrm{tan}\left(e+f\,x\right)+1}\right)\,\sqrt{\frac{-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}}{f^2}}\,2{}\mathrm{i}","Not used",1,"(atan((tan(e + f*x) + 1)^(1/2)*1i)*3i)/(8*f) + ((3*(tan(e + f*x) + 1)^(1/2))/8 + (tan(e + f*x) + 1)^(3/2)/3 - (3*(tan(e + f*x) + 1)^(5/2))/8)/(f - 3*f*(tan(e + f*x) + 1) + 3*f*(tan(e + f*x) + 1)^2 - f*(tan(e + f*x) + 1)^3) + atan(2*f*((- 1/8 - 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 - 1i/8)/f^2)^(1/2)*2i - atan(2*f*((- 1/8 + 1i/8)/f^2)^(1/2)*(tan(e + f*x) + 1)^(1/2))*((- 1/8 + 1i/8)/f^2)^(1/2)*2i","B"
411,0,-1,161,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + a*tan(e + f*x))^m,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + a*tan(e + f*x))^m, x)","F"
412,1,76,93,4.103797,"\text{Not used}","int(tan(c + d*x)^5*(a + b*tan(c + d*x)),x)","\frac{b\,\mathrm{tan}\left(c+d\,x\right)+\frac{a\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}-\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}-b\,d\,x}{d}","Not used",1,"(b*tan(c + d*x) + (a*log(tan(c + d*x)^2 + 1))/2 - (a*tan(c + d*x)^2)/2 + (a*tan(c + d*x)^4)/4 - (b*tan(c + d*x)^3)/3 + (b*tan(c + d*x)^5)/5 - b*d*x)/d","B"
413,1,65,77,4.007626,"\text{Not used}","int(tan(c + d*x)^4*(a + b*tan(c + d*x)),x)","\frac{\frac{b\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}-a\,\mathrm{tan}\left(c+d\,x\right)+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}-\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}+a\,d\,x}{d}","Not used",1,"((b*log(tan(c + d*x)^2 + 1))/2 - a*tan(c + d*x) + (a*tan(c + d*x)^3)/3 - (b*tan(c + d*x)^2)/2 + (b*tan(c + d*x)^4)/4 + a*d*x)/d","B"
414,1,54,60,4.042956,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x)),x)","\frac{\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}-\frac{a\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}-b\,\mathrm{tan}\left(c+d\,x\right)+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+b\,d\,x}{d}","Not used",1,"((a*tan(c + d*x)^2)/2 - (a*log(tan(c + d*x)^2 + 1))/2 - b*tan(c + d*x) + (b*tan(c + d*x)^3)/3 + b*d*x)/d","B"
415,1,43,44,4.051392,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x)),x)","\frac{a\,\mathrm{tan}\left(c+d\,x\right)-\frac{b\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}-a\,d\,x}{d}","Not used",1,"(a*tan(c + d*x) - (b*log(tan(c + d*x)^2 + 1))/2 + (b*tan(c + d*x)^2)/2 - a*d*x)/d","B"
416,1,32,29,4.058078,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x)),x)","\frac{b\,\mathrm{tan}\left(c+d\,x\right)+\frac{a\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}-b\,d\,x}{d}","Not used",1,"(b*tan(c + d*x) + (a*log(tan(c + d*x)^2 + 1))/2 - b*d*x)/d","B"
417,1,21,17,3.977595,"\text{Not used}","int(a + b*tan(c + d*x),x)","a\,x+\frac{b\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2\,d}","Not used",1,"a*x + (b*log(tan(c + d*x)^2 + 1))/(2*d)","B"
418,1,79,16,4.151701,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x)),x)","\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d}-\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d}-\frac{b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}+\frac{b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"(a*log(tan(c + d*x)))/d - (a*log(tan(c + d*x) - 1i))/(2*d) - (a*log(tan(c + d*x) + 1i))/(2*d) - (b*log(tan(c + d*x) - 1i)*1i)/(2*d) + (b*log(tan(c + d*x) + 1i)*1i)/(2*d)","B"
419,1,70,29,4.101702,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{b}{2}+\frac{a\,1{}\mathrm{i}}{2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{b}{2}+\frac{a\,1{}\mathrm{i}}{2}\right)}{d}+\frac{b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{a\,\mathrm{cot}\left(c+d\,x\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*((a*1i)/2 - b/2))/d - (log(tan(c + d*x) + 1i)*((a*1i)/2 + b/2))/d + (b*log(tan(c + d*x)))/d - (a*cot(c + d*x))/d","B"
420,1,83,46,4.073951,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x)),x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{a}{2}+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(\frac{a}{2}+\frac{b\,1{}\mathrm{i}}{2}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{a}{2}-\frac{b\,1{}\mathrm{i}}{2}\right)}{d}-\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*(a/2 + (b*1i)/2))/d - (cot(c + d*x)^2*(a/2 + b*tan(c + d*x)))/d + (log(tan(c + d*x) + 1i)*(a/2 - (b*1i)/2))/d - (a*log(tan(c + d*x)))/d","B"
421,1,96,60,3.981685,"\text{Not used}","int(cot(c + d*x)^4*(a + b*tan(c + d*x)),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{b}{2}+\frac{a\,1{}\mathrm{i}}{2}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{b}{2}+\frac{a\,1{}\mathrm{i}}{2}\right)}{d}-\frac{b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(-a\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{b\,\mathrm{tan}\left(c+d\,x\right)}{2}+\frac{a}{3}\right)}{d}","Not used",1,"(log(tan(c + d*x) + 1i)*((a*1i)/2 + b/2))/d - (log(tan(c + d*x) - 1i)*((a*1i)/2 - b/2))/d - (b*log(tan(c + d*x)))/d - (cot(c + d*x)^3*(a/3 + (b*tan(c + d*x))/2 - a*tan(c + d*x)^2))/d","B"
422,1,107,75,4.109345,"\text{Not used}","int(cot(c + d*x)^5*(a + b*tan(c + d*x)),x)","\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{a}{2}-\frac{b\,1{}\mathrm{i}}{2}\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left(-b\,{\mathrm{tan}\left(c+d\,x\right)}^3-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{b\,\mathrm{tan}\left(c+d\,x\right)}{3}+\frac{a}{4}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(\frac{a}{2}+\frac{b\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(a*log(tan(c + d*x)))/d - (log(tan(c + d*x) + 1i)*(a/2 - (b*1i)/2))/d - (cot(c + d*x)^4*(a/4 + (b*tan(c + d*x))/3 - (a*tan(c + d*x)^2)/2 - b*tan(c + d*x)^3))/d - (log(tan(c + d*x) - 1i)*(a/2 + (b*1i)/2))/d","B"
423,1,116,93,4.141795,"\text{Not used}","int(cot(c + d*x)^6*(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{b}{2}+\frac{a\,1{}\mathrm{i}}{2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{b}{2}+\frac{a\,1{}\mathrm{i}}{2}\right)}{d}+\frac{b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^5\,\left(a\,{\mathrm{tan}\left(c+d\,x\right)}^4-\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^3}{2}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{3}+\frac{b\,\mathrm{tan}\left(c+d\,x\right)}{4}+\frac{a}{5}\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*((a*1i)/2 - b/2))/d - (log(tan(c + d*x) + 1i)*((a*1i)/2 + b/2))/d + (b*log(tan(c + d*x)))/d - (cot(c + d*x)^5*(a/5 + (b*tan(c + d*x))/4 - (a*tan(c + d*x)^2)/3 + a*tan(c + d*x)^4 - (b*tan(c + d*x)^3)/2))/d","B"
424,1,146,120,4.092435,"\text{Not used}","int(tan(c + d*x)^4*(a + b*tan(c + d*x))^2,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{a^2}{3}-\frac{b^2}{3}\right)}{d}+\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^2-b^2\right)}{d}+\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a+b\right)\,\left(a-b\right)}{a^2-b^2}\right)\,\left(a+b\right)\,\left(a-b\right)}{d}+\frac{a\,b\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{d}-\frac{a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d}+\frac{a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^4}{2\,d}","Not used",1,"(tan(c + d*x)^3*(a^2/3 - b^2/3))/d + (b^2*tan(c + d*x)^5)/(5*d) - (tan(c + d*x)*(a^2 - b^2))/d + (atan((tan(c + d*x)*(a + b)*(a - b))/(a^2 - b^2))*(a + b)*(a - b))/d + (a*b*log(tan(c + d*x)^2 + 1))/d - (a*b*tan(c + d*x)^2)/d + (a*b*tan(c + d*x)^4)/(2*d)","B"
425,1,90,98,4.074383,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x))^2,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^2}{2}-\frac{b^2}{2}\right)-\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{a^2}{2}-\frac{b^2}{2}\right)+\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}-2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+\frac{2\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+2\,a\,b\,d\,x}{d}","Not used",1,"(tan(c + d*x)^2*(a^2/2 - b^2/2) - log(tan(c + d*x)^2 + 1)*(a^2/2 - b^2/2) + (b^2*tan(c + d*x)^4)/4 - 2*a*b*tan(c + d*x) + (2*a*b*tan(c + d*x)^3)/3 + 2*a*b*d*x)/d","B"
426,1,108,63,4.065804,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x))^2,x)","\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^2-b^2\right)}{d}-\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a+b\right)\,\left(a-b\right)}{a^2-b^2}\right)\,\left(a+b\right)\,\left(a-b\right)}{d}-\frac{a\,b\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{d}+\frac{a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d}","Not used",1,"(b^2*tan(c + d*x)^3)/(3*d) + (tan(c + d*x)*(a^2 - b^2))/d - (atan((tan(c + d*x)*(a + b)*(a - b))/(a^2 - b^2))*(a + b)*(a - b))/d - (a*b*log(tan(c + d*x)^2 + 1))/d + (a*b*tan(c + d*x)^2)/d","B"
427,1,57,58,4.017628,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x))^2,x)","\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{a^2}{2}-\frac{b^2}{2}\right)+\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)-2\,a\,b\,d\,x}{d}","Not used",1,"(log(tan(c + d*x)^2 + 1)*(a^2/2 - b^2/2) + (b^2*tan(c + d*x)^2)/2 + 2*a*b*tan(c + d*x) - 2*a*b*d*x)/d","B"
428,1,136,39,4.093601,"\text{Not used}","int((a + b*tan(c + d*x))^2,x)","\frac{a^2\,\mathrm{atan}\left(\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)}{a^2-b^2}-\frac{b^2\,\mathrm{tan}\left(c+d\,x\right)}{a^2-b^2}\right)}{d}-\frac{b^2\,\mathrm{atan}\left(\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)}{a^2-b^2}-\frac{b^2\,\mathrm{tan}\left(c+d\,x\right)}{a^2-b^2}\right)}{d}+\frac{b^2\,\mathrm{tan}\left(c+d\,x\right)}{d}+\frac{a\,b\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{d}","Not used",1,"(a^2*atan((a^2*tan(c + d*x))/(a^2 - b^2) - (b^2*tan(c + d*x))/(a^2 - b^2)))/d - (b^2*atan((a^2*tan(c + d*x))/(a^2 - b^2) - (b^2*tan(c + d*x))/(a^2 - b^2)))/d + (b^2*tan(c + d*x))/d + (a*b*log(tan(c + d*x)^2 + 1))/d","B"
429,1,61,35,4.186568,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x))^2,x)","\frac{a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^2}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^2}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(a*1i + b)^2)/(2*d) - (log(tan(c + d*x) - 1i)*(a + b*1i)^2)/(2*d) + (a^2*log(tan(c + d*x)))/d","B"
430,1,79,41,4.071935,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x))^2,x)","\frac{2\,a\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{a^2\,\mathrm{cot}\left(c+d\,x\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{2\,d}","Not used",1,"(2*a*b*log(tan(c + d*x)))/d - (a^2*cot(c + d*x))/d - (log(tan(c + d*x) - 1i)*(a*1i - b)^2*1i)/(2*d) - (log(tan(c + d*x) + 1i)*(a - b*1i)^2*1i)/(2*d)","B"
431,1,97,58,4.012334,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^2}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^2}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{a^2}{2}+2\,b\,\mathrm{tan}\left(c+d\,x\right)\,a\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*(a + b*1i)^2)/(2*d) - (log(tan(c + d*x) + 1i)*(a*1i + b)^2)/(2*d) - (log(tan(c + d*x))*(a^2 - b^2))/d - (cot(c + d*x)^2*(a^2/2 + 2*a*b*tan(c + d*x)))/d","B"
432,1,112,78,4.015568,"\text{Not used}","int(cot(c + d*x)^4*(a + b*tan(c + d*x))^2,x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(\frac{a^2}{3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^2-b^2\right)+a\,b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{2\,a\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(a - b*1i)^2*1i)/(2*d) - (cot(c + d*x)^3*(a^2/3 - tan(c + d*x)^2*(a^2 - b^2) + a*b*tan(c + d*x)))/d + (log(tan(c + d*x) - 1i)*(a*1i - b)^2*1i)/(2*d) - (2*a*b*log(tan(c + d*x)))/d","B"
433,1,129,98,3.992932,"\text{Not used}","int(cot(c + d*x)^5*(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^2}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^2}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left(\frac{a^2}{4}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^2}{2}-\frac{b^2}{2}\right)+\frac{2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)}{3}-2\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}{d}","Not used",1,"(log(tan(c + d*x) + 1i)*(a*1i + b)^2)/(2*d) - (log(tan(c + d*x) - 1i)*(a + b*1i)^2)/(2*d) + (log(tan(c + d*x))*(a^2 - b^2))/d - (cot(c + d*x)^4*(a^2/4 - tan(c + d*x)^2*(a^2/2 - b^2/2) + (2*a*b*tan(c + d*x))/3 - 2*a*b*tan(c + d*x)^3))/d","B"
434,1,145,120,3.965837,"\text{Not used}","int(cot(c + d*x)^6*(a + b*tan(c + d*x))^2,x)","\frac{2\,a\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^5\,\left({\mathrm{tan}\left(c+d\,x\right)}^4\,\left(a^2-b^2\right)+\frac{a^2}{5}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^2}{3}-\frac{b^2}{3}\right)+\frac{a\,b\,\mathrm{tan}\left(c+d\,x\right)}{2}-a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{2\,d}","Not used",1,"(2*a*b*log(tan(c + d*x)))/d - (log(tan(c + d*x) + 1i)*(a - b*1i)^2*1i)/(2*d) - (log(tan(c + d*x) - 1i)*(a*1i - b)^2*1i)/(2*d) - (cot(c + d*x)^5*(tan(c + d*x)^4*(a^2 - b^2) + a^2/5 - tan(c + d*x)^2*(a^2/3 - b^2/3) + (a*b*tan(c + d*x))/2 - a*b*tan(c + d*x)^3))/d","B"
435,1,182,147,3.877925,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x))^3,x)","\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a^2\,b-b^3\right)}{d}+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{3\,a\,b^2}{2}-\frac{a^3}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{3\,a\,b^2}{2}-\frac{a^3}{2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(a^2\,b-\frac{b^3}{3}\right)}{d}+\frac{3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}+\frac{b\,\mathrm{atan}\left(\frac{b\,\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a^2-b^2\right)}{3\,a^2\,b-b^3}\right)\,\left(3\,a^2-b^2\right)}{d}","Not used",1,"(b^3*tan(c + d*x)^5)/(5*d) - (tan(c + d*x)*(3*a^2*b - b^3))/d + (log(tan(c + d*x)^2 + 1)*((3*a*b^2)/2 - a^3/2))/d - (tan(c + d*x)^2*((3*a*b^2)/2 - a^3/2))/d + (tan(c + d*x)^3*(a^2*b - b^3/3))/d + (3*a*b^2*tan(c + d*x)^4)/(4*d) + (b*atan((b*tan(c + d*x)*(3*a^2 - b^2))/(3*a^2*b - b^3))*(3*a^2 - b^2))/d","B"
436,1,154,94,3.844869,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x))^3,x)","\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a\,b^2-a^3\right)}{d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{3\,a^2\,b}{2}-\frac{b^3}{2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{3\,a^2\,b}{2}-\frac{b^3}{2}\right)}{d}+\frac{a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{d}+\frac{a\,\mathrm{atan}\left(\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,\left(a^2-3\,b^2\right)}{3\,a\,b^2-a^3}\right)\,\left(a^2-3\,b^2\right)}{d}","Not used",1,"(b^3*tan(c + d*x)^4)/(4*d) - (tan(c + d*x)*(3*a*b^2 - a^3))/d - (log(tan(c + d*x)^2 + 1)*((3*a^2*b)/2 - b^3/2))/d + (tan(c + d*x)^2*((3*a^2*b)/2 - b^3/2))/d + (a*b^2*tan(c + d*x)^3)/d + (a*atan((a*tan(c + d*x)*(a^2 - 3*b^2))/(3*a*b^2 - a^3))*(a^2 - 3*b^2))/d","B"
437,1,135,97,3.825523,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x))^3,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a^2\,b-b^3\right)}{d}+\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{3\,a\,b^2}{2}-\frac{a^3}{2}\right)}{d}+\frac{3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}-\frac{b\,\mathrm{atan}\left(\frac{b\,\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a^2-b^2\right)}{3\,a^2\,b-b^3}\right)\,\left(3\,a^2-b^2\right)}{d}","Not used",1,"(tan(c + d*x)*(3*a^2*b - b^3))/d + (b^3*tan(c + d*x)^3)/(3*d) - (log(tan(c + d*x)^2 + 1)*((3*a*b^2)/2 - a^3/2))/d + (3*a*b^2*tan(c + d*x)^2)/(2*d) - (b*atan((b*tan(c + d*x)*(3*a^2 - b^2))/(3*a^2*b - b^3))*(3*a^2 - b^2))/d","B"
438,1,106,72,3.824306,"\text{Not used}","int((a + b*tan(c + d*x))^3,x)","\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{3\,a^2\,b}{2}-\frac{b^3}{2}\right)}{d}+\frac{3\,a\,b^2\,\mathrm{tan}\left(c+d\,x\right)}{d}-\frac{a\,\mathrm{atan}\left(\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,\left(a^2-3\,b^2\right)}{3\,a\,b^2-a^3}\right)\,\left(a^2-3\,b^2\right)}{d}","Not used",1,"(b^3*tan(c + d*x)^2)/(2*d) + (log(tan(c + d*x)^2 + 1)*((3*a^2*b)/2 - b^3/2))/d + (3*a*b^2*tan(c + d*x))/d - (a*atan((a*tan(c + d*x)*(a^2 - 3*b^2))/(3*a*b^2 - a^3))*(a^2 - 3*b^2))/d","B"
439,1,75,62,3.863391,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x))^3,x)","\frac{b^3\,\mathrm{tan}\left(c+d\,x\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3}{2\,d}+\frac{a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"(b^3*tan(c + d*x))/d - (log(tan(c + d*x) + 1i)*(a*1i + b)^3*1i)/(2*d) - (log(tan(c + d*x) - 1i)*(a + b*1i)^3)/(2*d) + (a^3*log(tan(c + d*x)))/d","B"
440,1,78,69,3.912599,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3}{2\,d}-\frac{a^3\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{3\,a^2\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(a + b*1i)^3*1i)/(2*d) + (log(tan(c + d*x) + 1i)*(a*1i + b)^3)/(2*d) - (a^3*cot(c + d*x))/d + (3*a^2*b*log(tan(c + d*x)))/d","B"
441,1,102,83,4.065431,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a\,b^2-a^3\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{a^3}{2}+3\,b\,\mathrm{tan}\left(c+d\,x\right)\,a^2\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x))*(3*a*b^2 - a^3))/d + (log(tan(c + d*x) - 1i)*(a + b*1i)^3)/(2*d) + (log(tan(c + d*x) + 1i)*(a*1i + b)^3*1i)/(2*d) - (cot(c + d*x)^2*(a^3/2 + 3*a^2*b*tan(c + d*x)))/d","B"
442,1,124,104,3.960990,"\text{Not used}","int(cot(c + d*x)^4*(a + b*tan(c + d*x))^3,x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a^2\,b-b^3\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,\left(3\,a\,b^2-a^3\right)+\frac{a^3}{3}+\frac{3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"- (log(tan(c + d*x))*(3*a^2*b - b^3))/d - (log(tan(c + d*x) - 1i)*(a + b*1i)^3*1i)/(2*d) - (log(tan(c + d*x) + 1i)*(a*1i + b)^3)/(2*d) - (cot(c + d*x)^3*(tan(c + d*x)^2*(3*a*b^2 - a^3) + a^3/3 + (3*a^2*b*tan(c + d*x))/2))/d","B"
443,1,145,130,3.928709,"\text{Not used}","int(cot(c + d*x)^5*(a + b*tan(c + d*x))^3,x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a\,b^2-a^3\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{3\,a\,b^2}{2}-\frac{a^3}{2}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(3\,a^2\,b-b^3\right)+\frac{a^3}{4}+a^2\,b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"- (log(tan(c + d*x))*(3*a*b^2 - a^3))/d - (log(tan(c + d*x) - 1i)*(a + b*1i)^3)/(2*d) - (log(tan(c + d*x) + 1i)*(a*1i + b)^3*1i)/(2*d) - (cot(c + d*x)^4*(tan(c + d*x)^2*((3*a*b^2)/2 - a^3/2) - tan(c + d*x)^3*(3*a^2*b - b^3) + a^3/4 + a^2*b*tan(c + d*x)))/d","B"
444,1,166,157,4.102862,"\text{Not used}","int(cot(c + d*x)^6*(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a^2\,b-b^3\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^5\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a\,b^2-\frac{a^3}{3}\right)-{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(3\,a\,b^2-a^3\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{3\,a^2\,b}{2}-\frac{b^3}{2}\right)+\frac{a^3}{5}+\frac{3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{4}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x))*(3*a^2*b - b^3))/d + (log(tan(c + d*x) - 1i)*(a + b*1i)^3*1i)/(2*d) + (log(tan(c + d*x) + 1i)*(a*1i + b)^3)/(2*d) - (cot(c + d*x)^5*(tan(c + d*x)^2*(a*b^2 - a^3/3) - tan(c + d*x)^4*(3*a*b^2 - a^3) - tan(c + d*x)^3*((3*a^2*b)/2 - b^3/2) + a^3/5 + (3*a^2*b*tan(c + d*x))/4))/d","B"
445,1,225,181,3.974255,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x))^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^4}{2}-3\,a^2\,b^2+\frac{b^4}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{b^4}{4}-\frac{3\,a^2\,b^2}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{4\,a\,b^3}{3}-\frac{4\,a^3\,b}{3}\right)}{d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{a^4}{2}-3\,a^2\,b^2+\frac{b^4}{2}\right)}{d}+\frac{b^4\,{\mathrm{tan}\left(c+d\,x\right)}^6}{6\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(4\,a\,b^3-4\,a^3\,b\right)}{d}+\frac{4\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,d}-\frac{4\,a\,b\,\mathrm{atan}\left(\frac{4\,a\,b\,\mathrm{tan}\left(c+d\,x\right)\,\left(a+b\right)\,\left(a-b\right)}{4\,a\,b^3-4\,a^3\,b}\right)\,\left(a+b\right)\,\left(a-b\right)}{d}","Not used",1,"(tan(c + d*x)^2*(a^4/2 + b^4/2 - 3*a^2*b^2))/d - (tan(c + d*x)^4*(b^4/4 - (3*a^2*b^2)/2))/d - (tan(c + d*x)^3*((4*a*b^3)/3 - (4*a^3*b)/3))/d - (log(tan(c + d*x)^2 + 1)*(a^4/2 + b^4/2 - 3*a^2*b^2))/d + (b^4*tan(c + d*x)^6)/(6*d) + (tan(c + d*x)*(4*a*b^3 - 4*a^3*b))/d + (4*a*b^3*tan(c + d*x)^5)/(5*d) - (4*a*b*atan((4*a*b*tan(c + d*x)*(a + b)*(a - b))/(4*a*b^3 - 4*a^3*b))*(a + b)*(a - b))/d","B"
446,1,221,128,3.978658,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x))^4,x)","\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(2\,a\,b^3-2\,a^3\,b\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{b^4}{3}-2\,a^2\,b^2\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,a\,b^3-2\,a^3\,b\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d}+\frac{b^4\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,d}-\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-a^2+2\,a\,b+b^2\right)\,\left(a^2+2\,a\,b-b^2\right)}{a^4-6\,a^2\,b^2+b^4}\right)\,\left(-a^2+2\,a\,b+b^2\right)\,\left(a^2+2\,a\,b-b^2\right)}{d}+\frac{a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^4}{d}","Not used",1,"(log(tan(c + d*x)^2 + 1)*(2*a*b^3 - 2*a^3*b))/d - (tan(c + d*x)^3*(b^4/3 - 2*a^2*b^2))/d - (tan(c + d*x)^2*(2*a*b^3 - 2*a^3*b))/d + (tan(c + d*x)*(a^4 + b^4 - 6*a^2*b^2))/d + (b^4*tan(c + d*x)^5)/(5*d) - (atan((tan(c + d*x)*(2*a*b - a^2 + b^2)*(2*a*b + a^2 - b^2))/(a^4 + b^4 - 6*a^2*b^2))*(2*a*b - a^2 + b^2)*(2*a*b + a^2 - b^2))/d + (a*b^3*tan(c + d*x)^4)/d","B"
447,1,168,130,3.920578,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x))^4,x)","\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{a^4}{2}-3\,a^2\,b^2+\frac{b^4}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{b^4}{2}-3\,a^2\,b^2\right)}{d}+\frac{b^4\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(4\,a\,b^3-4\,a^3\,b\right)}{d}+\frac{4\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}+\frac{4\,a\,b\,\mathrm{atan}\left(\frac{4\,a\,b\,\mathrm{tan}\left(c+d\,x\right)\,\left(a+b\right)\,\left(a-b\right)}{4\,a\,b^3-4\,a^3\,b}\right)\,\left(a+b\right)\,\left(a-b\right)}{d}","Not used",1,"(log(tan(c + d*x)^2 + 1)*(a^4/2 + b^4/2 - 3*a^2*b^2))/d - (tan(c + d*x)^2*(b^4/2 - 3*a^2*b^2))/d + (b^4*tan(c + d*x)^4)/(4*d) - (tan(c + d*x)*(4*a*b^3 - 4*a^3*b))/d + (4*a*b^3*tan(c + d*x)^3)/(3*d) + (4*a*b*atan((4*a*b*tan(c + d*x)*(a + b)*(a - b))/(4*a*b^3 - 4*a^3*b))*(a + b)*(a - b))/d","B"
448,1,167,103,3.890251,"\text{Not used}","int((a + b*tan(c + d*x))^4,x)","\frac{b^4\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(b^4-6\,a^2\,b^2\right)}{d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(2\,a\,b^3-2\,a^3\,b\right)}{d}+\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-a^2+2\,a\,b+b^2\right)\,\left(a^2+2\,a\,b-b^2\right)}{a^4-6\,a^2\,b^2+b^4}\right)\,\left(-a^2+2\,a\,b+b^2\right)\,\left(a^2+2\,a\,b-b^2\right)}{d}+\frac{2\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d}","Not used",1,"(b^4*tan(c + d*x)^3)/(3*d) - (tan(c + d*x)*(b^4 - 6*a^2*b^2))/d - (log(tan(c + d*x)^2 + 1)*(2*a*b^3 - 2*a^3*b))/d + (atan((tan(c + d*x)*(2*a*b - a^2 + b^2)*(2*a*b + a^2 - b^2))/(a^4 + b^4 - 6*a^2*b^2))*(2*a*b - a^2 + b^2)*(2*a*b + a^2 - b^2))/d + (2*a*b^3*tan(c + d*x)^2)/d","B"
449,1,92,92,3.973728,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x))^4,x)","\frac{b^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^4}{2\,d}+\frac{a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}+\frac{4\,a\,b^3\,\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"(b^4*tan(c + d*x)^2)/(2*d) - (log(tan(c + d*x) + 1i)*(a*1i + b)^4)/(2*d) - (log(tan(c + d*x) - 1i)*(a + b*1i)^4)/(2*d) + (a^4*log(tan(c + d*x)))/d + (4*a*b^3*tan(c + d*x))/d","B"
450,1,94,97,3.955551,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x))^4,x)","\frac{b^4\,\mathrm{tan}\left(c+d\,x\right)}{d}-\frac{a^4\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{4\,a^3\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(-b+a\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{2\,d}","Not used",1,"(b^4*tan(c + d*x))/d - (a^4*cot(c + d*x))/d - (log(tan(c + d*x) + 1i)*(a - b*1i)^4*1i)/(2*d) + (log(tan(c + d*x) - 1i)*(a*1i - b)^4*1i)/(2*d) + (4*a^3*b*log(tan(c + d*x)))/d","B"
451,1,102,99,4.007637,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x))^4,x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^4-6\,a^2\,b^2\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^4}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{a^4}{2}+4\,b\,\mathrm{tan}\left(c+d\,x\right)\,a^3\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*(a + b*1i)^4)/(2*d) - (log(tan(c + d*x))*(a^4 - 6*a^2*b^2))/d + (log(tan(c + d*x) + 1i)*(a*1i + b)^4)/(2*d) - (cot(c + d*x)^2*(a^4/2 + 4*a^3*b*tan(c + d*x)))/d","B"
452,1,127,117,3.982815,"\text{Not used}","int(cot(c + d*x)^4*(a + b*tan(c + d*x))^4,x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(\frac{a^4}{3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^4-6\,a^2\,b^2\right)+2\,a^3\,b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{4\,a\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(-b+a\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(a - b*1i)^4*1i)/(2*d) - (cot(c + d*x)^3*(a^4/3 - tan(c + d*x)^2*(a^4 - 6*a^2*b^2) + 2*a^3*b*tan(c + d*x)))/d - (log(tan(c + d*x) - 1i)*(a*1i - b)^4*1i)/(2*d) - (4*a*b*log(tan(c + d*x))*(a^2 - b^2))/d","B"
453,1,150,141,3.974488,"\text{Not used}","int(cot(c + d*x)^5*(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left({\mathrm{tan}\left(c+d\,x\right)}^3\,\left(4\,a\,b^3-4\,a^3\,b\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^4}{2}-3\,a^2\,b^2\right)+\frac{a^4}{4}+\frac{4\,a^3\,b\,\mathrm{tan}\left(c+d\,x\right)}{3}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^4}{2\,d}","Not used",1,"(log(tan(c + d*x))*(a^4 + b^4 - 6*a^2*b^2))/d - (log(tan(c + d*x) + 1i)*(a*1i + b)^4)/(2*d) - (cot(c + d*x)^4*(tan(c + d*x)^3*(4*a*b^3 - 4*a^3*b) - tan(c + d*x)^2*(a^4/2 - 3*a^2*b^2) + a^4/4 + (4*a^3*b*tan(c + d*x))/3))/d - (log(tan(c + d*x) - 1i)*(a + b*1i)^4)/(2*d)","B"
454,1,174,170,4.064047,"\text{Not used}","int(cot(c + d*x)^6*(a + b*tan(c + d*x))^4,x)","\frac{4\,a\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^5\,\left({\mathrm{tan}\left(c+d\,x\right)}^3\,\left(2\,a\,b^3-2\,a^3\,b\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^4}{3}-2\,a^2\,b^2\right)+\frac{a^4}{5}+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(a^4-6\,a^2\,b^2+b^4\right)+a^3\,b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(-b+a\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(a*1i - b)^4*1i)/(2*d) - (cot(c + d*x)^5*(tan(c + d*x)^3*(2*a*b^3 - 2*a^3*b) - tan(c + d*x)^2*(a^4/3 - 2*a^2*b^2) + a^4/5 + tan(c + d*x)^4*(a^4 + b^4 - 6*a^2*b^2) + a^3*b*tan(c + d*x)))/d - (log(tan(c + d*x) + 1i)*(a - b*1i)^4*1i)/(2*d) + (4*a*b*log(tan(c + d*x))*(a^2 - b^2))/d","B"
455,1,202,198,4.248411,"\text{Not used}","int(cot(c + d*x)^7*(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^4}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^6\,\left({\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{4\,a\,b^3}{3}-\frac{4\,a^3\,b}{3}\right)-{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(4\,a\,b^3-4\,a^3\,b\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^4}{4}-\frac{3\,a^2\,b^2}{2}\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{a^4}{2}-3\,a^2\,b^2+\frac{b^4}{2}\right)+\frac{a^4}{6}+\frac{4\,a^3\,b\,\mathrm{tan}\left(c+d\,x\right)}{5}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*(a + b*1i)^4)/(2*d) + (log(tan(c + d*x) + 1i)*(a*1i + b)^4)/(2*d) - (cot(c + d*x)^6*(tan(c + d*x)^3*((4*a*b^3)/3 - (4*a^3*b)/3) - tan(c + d*x)^5*(4*a*b^3 - 4*a^3*b) - tan(c + d*x)^2*(a^4/4 - (3*a^2*b^2)/2) + tan(c + d*x)^4*(a^4/2 + b^4/2 - 3*a^2*b^2) + a^4/6 + (4*a^3*b*tan(c + d*x))/5))/d - (log(tan(c + d*x))*(a^4 + b^4 - 6*a^2*b^2))/d","B"
456,1,165,154,4.257897,"\text{Not used}","int(tan(c + d*x)^6/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{1}{2\,b}-\frac{a^2}{2\,b^3}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,b\,d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,b^2\,d}+\frac{a^6\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^2\,b^5+b^7\right)}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{1}{b}-\frac{a^2}{b^3}\right)}{b\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) + log(tan(c + d*x) + 1i)/(2*d*(a*1i + b)) - (tan(c + d*x)^2*(1/(2*b) - a^2/(2*b^3)))/d + tan(c + d*x)^4/(4*b*d) - (a*tan(c + d*x)^3)/(3*b^2*d) + (a^6*log(a + b*tan(c + d*x)))/(d*(b^7 + a^2*b^5)) + (a*tan(c + d*x)*(1/b - a^2/b^3))/(b*d)","B"
457,1,138,125,4.078141,"\text{Not used}","int(tan(c + d*x)^5/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{1}{b}-\frac{a^2}{b^3}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,b\,d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b^2\,d}-\frac{a^5\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^2\,b^4+b^6\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x) + 1i)/(2*d*(a - b*1i)) - (tan(c + d*x)*(1/b - a^2/b^3))/d + (log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) + tan(c + d*x)^3/(3*b*d) - (a*tan(c + d*x)^2)/(2*b^2*d) - (a^5*log(a + b*tan(c + d*x)))/(d*(b^6 + a^2*b^4))","B"
458,1,109,97,4.075073,"\text{Not used}","int(tan(c + d*x)^4/(a + b*tan(c + d*x)),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{b^2\,d}+\frac{a^4\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b^3\,d\,\left(a^2+b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"tan(c + d*x)^2/(2*b*d) - log(tan(c + d*x) + 1i)/(2*d*(a*1i + b)) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) - (a*tan(c + d*x))/(b^2*d) + (a^4*log(a + b*tan(c + d*x)))/(b^3*d*(a^2 + b^2))","B"
459,1,94,79,4.109908,"\text{Not used}","int(tan(c + d*x)^3/(a + b*tan(c + d*x)),x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{b\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{a^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b^2\,d\,\left(a^2+b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}","Not used",1,"tan(c + d*x)/(b*d) - log(tan(c + d*x) + 1i)/(2*d*(a - b*1i)) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - (a^3*log(a + b*tan(c + d*x)))/(b^2*d*(a^2 + b^2))","B"
460,1,78,66,4.046103,"\text{Not used}","int(tan(c + d*x)^2/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}+\frac{a^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b\,d\,\left(a^2+b^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) + log(tan(c + d*x) + 1i)/(2*d*(a*1i + b)) + (a^2*log(a + b*tan(c + d*x)))/(b*d*(a^2 + b^2))","B"
461,1,76,46,4.025312,"\text{Not used}","int(tan(c + d*x)/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{a\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^2+b^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x) + 1i)/(2*d*(a - b*1i)) + (log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - (a*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2))","B"
462,1,73,45,4.182286,"\text{Not used}","int(1/(a + b*tan(c + d*x)),x)","\frac{b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^2+b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(b*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)) - log(tan(c + d*x) + 1i)/(2*d*(a*1i + b)) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i))","B"
463,1,95,66,4.129604,"\text{Not used}","int(cot(c + d*x)/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{a\,d\,\left(a^2+b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x))/(a*d) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - log(tan(c + d*x) + 1i)/(2*d*(a - b*1i)) - (b^2*log(a + b*tan(c + d*x)))/(a*d*(a^2 + b^2))","B"
464,1,108,81,4.157441,"\text{Not used}","int(cot(c + d*x)^2/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{\mathrm{cot}\left(c+d\,x\right)}{a\,d}-\frac{b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^2\,d}+\frac{b^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{a^2\,d\,\left(a^2+b^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) + log(tan(c + d*x) + 1i)/(2*d*(a*1i + b)) - cot(c + d*x)/(a*d) - (b*log(tan(c + d*x)))/(a^2*d) + (b^3*log(a + b*tan(c + d*x)))/(a^2*d*(a^2 + b^2))","B"
465,1,137,107,4.196914,"\text{Not used}","int(cot(c + d*x)^3/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{1}{2\,a}-\frac{b\,\mathrm{tan}\left(c+d\,x\right)}{a^2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{a^3\,d}-\frac{b^4\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^5+a^3\,b^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x) + 1i)/(2*d*(a - b*1i)) - (cot(c + d*x)^2*(1/(2*a) - (b*tan(c + d*x))/a^2))/d + (log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - (log(tan(c + d*x))*(a^2 - b^2))/(a^3*d) - (b^4*log(a + b*tan(c + d*x)))/(d*(a^5 + a^3*b^2))","B"
466,1,153,133,4.261112,"\text{Not used}","int(cot(c + d*x)^4/(a + b*tan(c + d*x)),x)","\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^2-b^2\right)}{a^3}-\frac{1}{3\,a}+\frac{b\,\mathrm{tan}\left(c+d\,x\right)}{2\,a^2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}+\frac{b^5\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{a^4\,d\,\left(a^2+b^2\right)}+\frac{b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(cot(c + d*x)^3*((tan(c + d*x)^2*(a^2 - b^2))/a^3 - 1/(3*a) + (b*tan(c + d*x))/(2*a^2)))/d - log(tan(c + d*x) + 1i)/(2*d*(a*1i + b)) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) + (b^5*log(a + b*tan(c + d*x)))/(a^4*d*(a^2 + b^2)) + (b*log(tan(c + d*x))*(a^2 - b^2))/(a^4*d)","B"
467,1,213,239,4.384277,"\text{Not used}","int(tan(c + d*x)^6/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{4\,a^3}{b^5}-\frac{2\,a}{b^3}+\frac{2\,a\,b}{{\left(a^2+b^2\right)}^2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,b^2\,d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{a^2+b^2}{b^4}-\frac{4\,a^2}{b^4}\right)}{d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{b^3\,d}-\frac{a^6}{b\,d\,\left(\mathrm{tan}\left(c+d\,x\right)\,b^5+a\,b^4\right)\,\left(a^2+b^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}","Not used",1,"(log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b*2i - a^2 + b^2)) + log(tan(c + d*x) - 1i)/(2*d*(2*a*b - a^2*1i + b^2*1i)) - (log(a + b*tan(c + d*x))*((4*a^3)/b^5 - (2*a)/b^3 + (2*a*b)/(a^2 + b^2)^2))/d + tan(c + d*x)^3/(3*b^2*d) - (tan(c + d*x)*((a^2 + b^2)/b^4 - (4*a^2)/b^4))/d - (a*tan(c + d*x)^2)/(b^3*d) - a^6/(b*d*(a*b^4 + b^5*tan(c + d*x))*(a^2 + b^2))","B"
468,1,185,197,4.327337,"\text{Not used}","int(tan(c + d*x)^5/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b^2\,d}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a^6+5\,a^4\,b^2\right)}{d\,\left(a^4\,b^4+2\,a^2\,b^6+b^8\right)}-\frac{2\,a\,\mathrm{tan}\left(c+d\,x\right)}{b^3\,d}+\frac{a^5}{b\,d\,\left(\mathrm{tan}\left(c+d\,x\right)\,b^4+a\,b^3\right)\,\left(a^2+b^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x) - 1i)/(2*d*(a*b*2i + a^2 - b^2)) + (log(tan(c + d*x) + 1i)*1i)/(2*d*(2*a*b + a^2*1i - b^2*1i)) + tan(c + d*x)^2/(2*b^2*d) + (log(a + b*tan(c + d*x))*(3*a^6 + 5*a^4*b^2))/(d*(b^8 + 2*a^2*b^6 + a^4*b^4)) - (2*a*tan(c + d*x))/(b^3*d) + a^5/(b*d*(a*b^3 + b^4*tan(c + d*x))*(a^2 + b^2))","B"
469,1,158,155,4.270782,"\text{Not used}","int(tan(c + d*x)^4/(a + b*tan(c + d*x))^2,x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{b^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{a^4}{b\,d\,\left(\mathrm{tan}\left(c+d\,x\right)\,b^3+a\,b^2\right)\,\left(a^2+b^2\right)}-\frac{2\,a^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2+2\,b^2\right)}{b^3\,d\,{\left(a^2+b^2\right)}^2}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}","Not used",1,"tan(c + d*x)/(b^2*d) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b*2i - a^2 + b^2)) - log(tan(c + d*x) - 1i)/(2*d*(2*a*b - a^2*1i + b^2*1i)) - a^4/(b*d*(a*b^2 + b^3*tan(c + d*x))*(a^2 + b^2)) - (2*a^3*log(a + b*tan(c + d*x))*(a^2 + 2*b^2))/(b^3*d*(a^2 + b^2)^2)","B"
470,1,137,114,4.251603,"\text{Not used}","int(tan(c + d*x)^3/(a + b*tan(c + d*x))^2,x)","\frac{a^3}{b^2\,d\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}+\frac{a^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2+3\,b^2\right)}{b^2\,d\,{\left(a^2+b^2\right)}^2}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}","Not used",1,"a^3/(b^2*d*(a^2 + b^2)*(a + b*tan(c + d*x))) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(2*a*b + a^2*1i - b^2*1i)) - log(tan(c + d*x) - 1i)/(2*d*(a*b*2i + a^2 - b^2)) + (a^2*log(a + b*tan(c + d*x))*(a^2 + 3*b^2))/(b^2*d*(a^2 + b^2)^2)","B"
471,1,126,88,4.071687,"\text{Not used}","int(tan(c + d*x)^2/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{a^2}{b\,d\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{2\,a\,b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,{\left(a^2+b^2\right)}^2}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}","Not used",1,"(log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b*2i - a^2 + b^2)) + log(tan(c + d*x) - 1i)/(2*d*(2*a*b - a^2*1i + b^2*1i)) - a^2/(b*d*(a^2 + b^2)*(a + b*tan(c + d*x))) - (2*a*b*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)^2)","B"
472,1,133,82,4.166886,"\text{Not used}","int(tan(c + d*x)/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{1}{a^2+b^2}-\frac{2\,b^2}{{\left(a^2+b^2\right)}^2}\right)}{d}+\frac{a}{d\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x) - 1i)/(2*d*(a*b*2i + a^2 - b^2)) + (log(tan(c + d*x) + 1i)*1i)/(2*d*(2*a*b + a^2*1i - b^2*1i)) - (log(a + b*tan(c + d*x))*(1/(a^2 + b^2) - (2*b^2)/(a^2 + b^2)^2))/d + a/(d*(a^2 + b^2)*(a + b*tan(c + d*x)))","B"
473,1,121,82,4.084789,"\text{Not used}","int(1/(a + b*tan(c + d*x))^2,x)","\frac{2\,a\,b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,{\left(a^2+b^2\right)}^2}-\frac{b}{d\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}","Not used",1,"(2*a*b*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)^2) - log(tan(c + d*x) - 1i)/(2*d*(2*a*b - a^2*1i + b^2*1i)) - b/(d*(a^2 + b^2)*(a + b*tan(c + d*x))) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b*2i - a^2 + b^2))","B"
474,1,152,107,4.288947,"\text{Not used}","int(cot(c + d*x)/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}+\frac{b^2}{a\,d\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a^2+b^2\right)}{a^2\,d\,{\left(a^2+b^2\right)}^2}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x))/(a^2*d) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(2*a*b + a^2*1i - b^2*1i)) - log(tan(c + d*x) - 1i)/(2*d*(a*b*2i + a^2 - b^2)) + b^2/(a*d*(a^2 + b^2)*(a + b*tan(c + d*x))) - (b^2*log(a + b*tan(c + d*x))*(3*a^2 + b^2))/(a^2*d*(a^2 + b^2)^2)","B"
475,1,183,150,4.350847,"\text{Not used}","int(cot(c + d*x)^2/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{\frac{1}{a}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^2\,b+2\,b^3\right)}{a^2\,\left(a^2+b^2\right)}}{d\,\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^2+a\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{2\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^3\,d}+\frac{2\,b^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(2\,a^2+b^2\right)}{a^3\,d\,{\left(a^2+b^2\right)}^2}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}","Not used",1,"(log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b*2i - a^2 + b^2)) + log(tan(c + d*x) - 1i)/(2*d*(2*a*b - a^2*1i + b^2*1i)) - (1/a + (tan(c + d*x)*(a^2*b + 2*b^3))/(a^2*(a^2 + b^2)))/(d*(a*tan(c + d*x) + b*tan(c + d*x)^2)) - (2*b*log(tan(c + d*x)))/(a^3*d) + (2*b^3*log(a + b*tan(c + d*x))*(2*a^2 + b^2))/(a^3*d*(a^2 + b^2)^2)","B"
476,1,222,189,4.462307,"\text{Not used}","int(cot(c + d*x)^3/(a + b*tan(c + d*x))^2,x)","\frac{\frac{3\,b\,\mathrm{tan}\left(c+d\,x\right)}{2\,a^2}-\frac{1}{2\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,a^2\,b^2+3\,b^4\right)}{a^3\,\left(a^2+b^2\right)}}{d\,\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^3+a\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-3\,b^2\right)}{a^4\,d}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(5\,a^2\,b^4+3\,b^6\right)}{d\,\left(a^8+2\,a^6\,b^2+a^4\,b^4\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}","Not used",1,"((3*b*tan(c + d*x))/(2*a^2) - 1/(2*a) + (tan(c + d*x)^2*(3*b^4 + 2*a^2*b^2))/(a^3*(a^2 + b^2)))/(d*(a*tan(c + d*x)^2 + b*tan(c + d*x)^3)) + log(tan(c + d*x) - 1i)/(2*d*(a*b*2i + a^2 - b^2)) + (log(tan(c + d*x) + 1i)*1i)/(2*d*(2*a*b + a^2*1i - b^2*1i)) - (log(tan(c + d*x))*(a^2 - 3*b^2))/(a^4*d) - (log(a + b*tan(c + d*x))*(3*b^6 + 5*a^2*b^4))/(d*(a^8 + a^4*b^4 + 2*a^6*b^2))","B"
477,1,284,283,4.353104,"\text{Not used}","int(tan(c + d*x)^6/(a + b*tan(c + d*x))^3,x)","\frac{\frac{2\,\mathrm{tan}\left(c+d\,x\right)\,\left(2\,a^7+3\,a^5\,b^2\right)}{a^4+2\,a^2\,b^2+b^4}+\frac{7\,a^8+11\,a^6\,b^2}{2\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2\,b^4+2\,a\,b^5\,\mathrm{tan}\left(c+d\,x\right)+b^6\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{b}{{\left(a^2+b^2\right)}^2}-\frac{1}{b^3}+\frac{6\,a^2}{b^5}-\frac{4\,a^2\,b}{{\left(a^2+b^2\right)}^3}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b^3\,d}-\frac{3\,a\,\mathrm{tan}\left(c+d\,x\right)}{b^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}","Not used",1,"((2*tan(c + d*x)*(2*a^7 + 3*a^5*b^2))/(a^4 + b^4 + 2*a^2*b^2) + (7*a^8 + 11*a^6*b^2)/(2*b*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2*b^4 + b^6*tan(c + d*x)^2 + 2*a*b^5*tan(c + d*x))) - log(tan(c + d*x) + 1i)/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) + (log(a + b*tan(c + d*x))*(b/(a^2 + b^2)^2 - 1/b^3 + (6*a^2)/b^5 - (4*a^2*b)/(a^2 + b^2)^3))/d + tan(c + d*x)^2/(2*b^3*d) - (3*a*tan(c + d*x))/(b^4*d)","B"
478,1,263,239,4.251935,"\text{Not used}","int(tan(c + d*x)^5/(a + b*tan(c + d*x))^3,x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{b^3\,d}-\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a^6+5\,a^4\,b^2\right)}{a^4+2\,a^2\,b^2+b^4}+\frac{5\,a^7+9\,a^5\,b^2}{2\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2\,b^3+2\,a\,b^4\,\mathrm{tan}\left(c+d\,x\right)+b^5\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}\right)}-\frac{a^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a^4+9\,a^2\,b^2+10\,b^4\right)}{b^4\,d\,{\left(a^2+b^2\right)}^3}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3\,1{}\mathrm{i}+3\,a^2\,b+a\,b^2\,3{}\mathrm{i}-b^3\right)}","Not used",1,"tan(c + d*x)/(b^3*d) - ((tan(c + d*x)*(3*a^6 + 5*a^4*b^2))/(a^4 + b^4 + 2*a^2*b^2) + (5*a^7 + 9*a^5*b^2)/(2*b*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2*b^3 + b^5*tan(c + d*x)^2 + 2*a*b^4*tan(c + d*x))) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) - log(tan(c + d*x) + 1i)/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)) - (a^3*log(a + b*tan(c + d*x))*(3*a^4 + 10*b^4 + 9*a^2*b^2))/(b^4*d*(a^2 + b^2)^3)","B"
479,1,240,183,4.206142,"\text{Not used}","int(tan(c + d*x)^4/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}+\frac{\frac{3\,a^6+7\,a^4\,b^2}{2\,b^3\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{2\,a^3\,\mathrm{tan}\left(c+d\,x\right)\,\left(a^2+2\,b^2\right)}{b^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}+\frac{a^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^4+3\,a^2\,b^2+6\,b^4\right)}{b^3\,d\,{\left(a^2+b^2\right)}^3}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x) + 1i)/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) + (log(tan(c + d*x) - 1i)*1i)/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) + ((3*a^6 + 7*a^4*b^2)/(2*b^3*(a^4 + b^4 + 2*a^2*b^2)) + (2*a^3*tan(c + d*x)*(a^2 + 2*b^2))/(b^2*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2 + b^2*tan(c + d*x)^2 + 2*a*b*tan(c + d*x))) + (a^2*log(a + b*tan(c + d*x))*(a^4 + 6*b^4 + 3*a^2*b^2))/(b^3*d*(a^2 + b^2)^3)","B"
480,1,236,149,4.120537,"\text{Not used}","int(tan(c + d*x)^3/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{a}{{\left(a^2+b^2\right)}^2}-\frac{4\,a\,b^2}{{\left(a^2+b^2\right)}^3}\right)}{d}-\frac{\frac{a\,\left(a^4+5\,a^2\,b^2\right)}{2\,b^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^4+3\,a^2\,b^2\right)}{b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3\,1{}\mathrm{i}+3\,a^2\,b+a\,b^2\,3{}\mathrm{i}-b^3\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*1i)/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) + log(tan(c + d*x) + 1i)/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)) + (log(a + b*tan(c + d*x))*(a/(a^2 + b^2)^2 - (4*a*b^2)/(a^2 + b^2)^3))/d - ((a*(a^4 + 5*a^2*b^2))/(2*b^2*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(a^4 + 3*a^2*b^2))/(b*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2 + b^2*tan(c + d*x)^2 + 2*a*b*tan(c + d*x)))","B"
481,1,224,129,4.091801,"\text{Not used}","int(tan(c + d*x)^2/(a + b*tan(c + d*x))^3,x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{3\,b}{{\left(a^2+b^2\right)}^2}-\frac{4\,b^3}{{\left(a^2+b^2\right)}^3}\right)}{d}-\frac{\frac{a^4-3\,a^2\,b^2}{2\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{2\,a\,b^2\,\mathrm{tan}\left(c+d\,x\right)}{a^4+2\,a^2\,b^2+b^4}}{d\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}","Not used",1,"- log(tan(c + d*x) + 1i)/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) - (log(a + b*tan(c + d*x))*((3*b)/(a^2 + b^2)^2 - (4*b^3)/(a^2 + b^2)^3))/d - (log(tan(c + d*x) - 1i)*1i)/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - ((a^4 - 3*a^2*b^2)/(2*b*(a^4 + b^4 + 2*a^2*b^2)) - (2*a*b^2*tan(c + d*x))/(a^4 + b^4 + 2*a^2*b^2))/(d*(a^2 + b^2*tan(c + d*x)^2 + 2*a*b*tan(c + d*x)))","B"
482,1,224,129,4.008544,"\text{Not used}","int(tan(c + d*x)/(a + b*tan(c + d*x))^3,x)","-\frac{\frac{a\,b^2-3\,a^3}{2\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^2\,b-b^3\right)}{a^4+2\,a^2\,b^2+b^4}}{d\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}\right)}-\frac{a\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-3\,b^2\right)}{d\,{\left(a^2+b^2\right)}^3}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3\,1{}\mathrm{i}+3\,a^2\,b+a\,b^2\,3{}\mathrm{i}-b^3\right)}","Not used",1,"- ((a*b^2 - 3*a^3)/(2*(a^4 + b^4 + 2*a^2*b^2)) - (tan(c + d*x)*(a^2*b - b^3))/(a^4 + b^4 + 2*a^2*b^2))/(d*(a^2 + b^2*tan(c + d*x)^2 + 2*a*b*tan(c + d*x))) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) - log(tan(c + d*x) + 1i)/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)) - (a*log(a + b*tan(c + d*x))*(a^2 - 3*b^2))/(d*(a^2 + b^2)^3)","B"
483,1,215,122,4.309358,"\text{Not used}","int(1/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}-\frac{\frac{5\,a^2\,b+b^3}{2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{2\,a\,b^2\,\mathrm{tan}\left(c+d\,x\right)}{a^4+2\,a^2\,b^2+b^4}}{d\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}+\frac{b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a^2-b^2\right)}{d\,{\left(a^2+b^2\right)}^3}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}","Not used",1,"log(tan(c + d*x) + 1i)/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) + (log(tan(c + d*x) - 1i)*1i)/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - ((5*a^2*b + b^3)/(2*(a^4 + b^4 + 2*a^2*b^2)) + (2*a*b^2*tan(c + d*x))/(a^4 + b^4 + 2*a^2*b^2))/(d*(a^2 + b^2*tan(c + d*x)^2 + 2*a*b*tan(c + d*x))) + (b*log(a + b*tan(c + d*x))*(3*a^2 - b^2))/(d*(a^2 + b^2)^3)","B"
484,1,256,168,4.679289,"\text{Not used}","int(cot(c + d*x)/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^3\,d}+\frac{\frac{7\,a^2\,b^2+3\,b^4}{2\,a\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a^2\,b^3+b^5\right)}{a^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(6\,a^4+3\,a^2\,b^2+b^4\right)}{a^3\,d\,{\left(a^2+b^2\right)}^3}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3\,1{}\mathrm{i}+3\,a^2\,b+a\,b^2\,3{}\mathrm{i}-b^3\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*1i)/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) + log(tan(c + d*x) + 1i)/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)) + log(tan(c + d*x))/(a^3*d) + ((3*b^4 + 7*a^2*b^2)/(2*a*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(b^5 + 3*a^2*b^3))/(a^2*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2 + b^2*tan(c + d*x)^2 + 2*a*b*tan(c + d*x))) - (b^2*log(a + b*tan(c + d*x))*(6*a^4 + b^4 + 3*a^2*b^2))/(a^3*d*(a^2 + b^2)^3)","B"
485,1,293,211,4.797186,"\text{Not used}","int(cot(c + d*x)^2/(a + b*tan(c + d*x))^3,x)","\frac{b^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(10\,a^4+9\,a^2\,b^2+3\,b^4\right)}{a^4\,d\,{\left(a^2+b^2\right)}^3}-\frac{\frac{1}{a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^4\,b^2+6\,a^2\,b^4+3\,b^6\right)}{a^3\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(4\,a^4\,b+17\,a^2\,b^3+9\,b^5\right)}{2\,a^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2\,\mathrm{tan}\left(c+d\,x\right)+2\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}-\frac{3\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}","Not used",1,"(b^3*log(a + b*tan(c + d*x))*(10*a^4 + 3*b^4 + 9*a^2*b^2))/(a^4*d*(a^2 + b^2)^3) - (log(tan(c + d*x) - 1i)*1i)/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - (1/a + (tan(c + d*x)^2*(3*b^6 + 6*a^2*b^4 + a^4*b^2))/(a^3*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(4*a^4*b + 9*b^5 + 17*a^2*b^3))/(2*a^2*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2*tan(c + d*x) + b^2*tan(c + d*x)^3 + 2*a*b*tan(c + d*x)^2)) - (3*b*log(tan(c + d*x)))/(a^4*d) - log(tan(c + d*x) + 1i)/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3))","B"
486,1,387,315,4.890745,"\text{Not used}","int(tan(c + d*x)^6/(a + b*tan(c + d*x))^4,x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{b^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}-\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(10\,a^9+29\,a^7\,b^2+27\,a^5\,b^4\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+\frac{13\,a^{10}+38\,a^8\,b^2+37\,a^6\,b^4}{3\,b\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(6\,a^8\,b+17\,a^6\,b^3+15\,a^4\,b^5\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{d\,\left(a^3\,b^4+3\,a^2\,b^5\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^6\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^7\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}-\frac{4\,a^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^6+4\,a^4\,b^2+6\,a^2\,b^4+5\,b^6\right)}{b^5\,d\,{\left(a^2+b^2\right)}^4}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}","Not used",1,"tan(c + d*x)/(b^4*d) - log(tan(c + d*x) - 1i)/(2*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)) - ((tan(c + d*x)*(10*a^9 + 27*a^5*b^4 + 29*a^7*b^2))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) + (13*a^10 + 37*a^6*b^4 + 38*a^8*b^2)/(3*b*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(6*a^8*b + 15*a^4*b^5 + 17*a^6*b^3))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2))/(d*(a^3*b^4 + b^7*tan(c + d*x)^3 + 3*a^2*b^5*tan(c + d*x) + 3*a*b^6*tan(c + d*x)^2)) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) - (4*a^3*log(a + b*tan(c + d*x))*(a^6 + 5*b^6 + 6*a^2*b^4 + 4*a^4*b^2))/(b^5*d*(a^2 + b^2)^4)","B"
487,1,373,256,4.678776,"\text{Not used}","int(tan(c + d*x)^5/(a + b*tan(c + d*x))^4,x)","\frac{\frac{11\,a^9+34\,a^7\,b^2+47\,a^5\,b^4}{6\,b^4\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(9\,a^8+28\,a^6\,b^2+35\,a^4\,b^4\right)}{2\,b^3\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(3\,a^6+9\,a^4\,b^2+10\,a^2\,b^4\right)}{b^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}}{d\,\left(a^3+3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4+a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2-a\,b^3\,4{}\mathrm{i}+b^4\right)}+\frac{a^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^6+4\,a^4\,b^2+5\,a^2\,b^4+10\,b^6\right)}{b^4\,d\,{\left(a^2+b^2\right)}^4}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}","Not used",1,"((11*a^9 + 47*a^5*b^4 + 34*a^7*b^2)/(6*b^4*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(9*a^8 + 35*a^4*b^4 + 28*a^6*b^2))/(2*b^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (a*tan(c + d*x)^2*(3*a^6 + 10*a^2*b^4 + 9*a^4*b^2))/(b^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^3 + b^3*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^2 + 3*a^2*b*tan(c + d*x))) + (log(tan(c + d*x) + 1i)*1i)/(2*d*(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)) + log(tan(c + d*x) - 1i)/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2)) + (a^2*log(a + b*tan(c + d*x))*(a^6 + 10*b^6 + 5*a^2*b^4 + 4*a^4*b^2))/(b^4*d*(a^2 + b^2)^4)","B"
488,1,359,208,4.638688,"\text{Not used}","int(tan(c + d*x)^4/(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{4\,a\,b}{{\left(a^2+b^2\right)}^3}-\frac{8\,a\,b^3}{{\left(a^2+b^2\right)}^4}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}-\frac{\frac{a^2\,\left(a^6+2\,a^4\,b^2+13\,a^2\,b^4\right)}{3\,b^3\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^6+3\,a^4\,b^2+6\,a^2\,b^4\right)}{b\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,\left(a^6+3\,a^4\,b^2+10\,a^2\,b^4\right)}{b^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}}{d\,\left(a^3+3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}","Not used",1,"(log(a + b*tan(c + d*x))*((4*a*b)/(a^2 + b^2)^3 - (8*a*b^3)/(a^2 + b^2)^4))/d + log(tan(c + d*x) - 1i)/(2*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)) + (log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) - ((a^2*(a^6 + 13*a^2*b^4 + 2*a^4*b^2))/(3*b^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(a^6 + 6*a^2*b^4 + 3*a^4*b^2))/(b*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (a*tan(c + d*x)*(a^6 + 10*a^2*b^4 + 3*a^4*b^2))/(b^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^3 + b^3*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^2 + 3*a^2*b*tan(c + d*x)))","B"
489,1,359,189,4.640783,"\text{Not used}","int(tan(c + d*x)^3/(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{1}{{\left(a^2+b^2\right)}^2}-\frac{8\,b^2}{{\left(a^2+b^2\right)}^3}+\frac{8\,b^4}{{\left(a^2+b^2\right)}^4}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4+a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2-a\,b^3\,4{}\mathrm{i}+b^4\right)}-\frac{\frac{a\,\left(a^6+14\,a^4\,b^2-11\,a^2\,b^4\right)}{6\,b^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(3\,a\,b^4-a^3\,b^2\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^6+8\,a^4\,b^2-9\,a^2\,b^4\right)}{2\,b\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}}{d\,\left(a^3+3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}","Not used",1,"(log(a + b*tan(c + d*x))*(1/(a^2 + b^2)^2 - (8*b^2)/(a^2 + b^2)^3 + (8*b^4)/(a^2 + b^2)^4))/d - (log(tan(c + d*x) + 1i)*1i)/(2*d*(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)) - log(tan(c + d*x) - 1i)/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2)) - ((a*(a^6 - 11*a^2*b^4 + 14*a^4*b^2))/(6*b^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (tan(c + d*x)^2*(3*a*b^4 - a^3*b^2))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) + (tan(c + d*x)*(a^6 - 9*a^2*b^4 + 8*a^4*b^2))/(2*b*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^3 + b^3*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^2 + 3*a^2*b*tan(c + d*x)))","B"
490,1,326,169,4.530545,"\text{Not used}","int(tan(c + d*x)^2/(a + b*tan(c + d*x))^4,x)","-\frac{\frac{a^6-10\,a^4\,b^2+a^2\,b^4}{3\,b\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(b^5-3\,a^2\,b^3\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a\,b^4-7\,a^3\,b^2\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{d\,\left(a^3+3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}-\frac{4\,a\,b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{d\,{\left(a^2+b^2\right)}^4}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}","Not used",1,"- ((a^6 + a^2*b^4 - 10*a^4*b^2)/(3*b*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(b^5 - 3*a^2*b^3))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) + (tan(c + d*x)*(a*b^4 - 7*a^3*b^2))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2))/(d*(a^3 + b^3*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^2 + 3*a^2*b*tan(c + d*x))) - log(tan(c + d*x) - 1i)/(2*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) - (4*a*b*log(a + b*tan(c + d*x))*(a^2 - b^2))/(d*(a^2 + b^2)^4)","B"
491,1,355,172,4.448489,"\text{Not used}","int(tan(c + d*x)/(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4+a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2-a\,b^3\,4{}\mathrm{i}+b^4\right)}-\frac{\frac{-11\,a^5+14\,a^3\,b^2+a\,b^4}{6\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-5\,a^4\,b+12\,a^2\,b^3+b^5\right)}{2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(3\,a\,b^4-a^3\,b^2\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{d\,\left(a^3+3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{1}{{\left(a^2+b^2\right)}^2}-\frac{8\,b^2}{{\left(a^2+b^2\right)}^3}+\frac{8\,b^4}{{\left(a^2+b^2\right)}^4}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) + 1i)*1i)/(2*d*(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)) + log(tan(c + d*x) - 1i)/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2)) - ((a*b^4 - 11*a^5 + 14*a^3*b^2)/(6*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(b^5 - 5*a^4*b + 12*a^2*b^3))/(2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(3*a*b^4 - a^3*b^2))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2))/(d*(a^3 + b^3*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^2 + 3*a^2*b*tan(c + d*x))) - (log(a + b*tan(c + d*x))*(1/(a^2 + b^2)^2 - (8*b^2)/(a^2 + b^2)^3 + (8*b^4)/(a^2 + b^2)^4))/d","B"
492,1,333,165,4.276661,"\text{Not used}","int(1/(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{4\,a\,b}{{\left(a^2+b^2\right)}^3}-\frac{8\,a\,b^3}{{\left(a^2+b^2\right)}^4}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(b^5-3\,a^2\,b^3\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}-\frac{13\,a^4\,b+2\,a^2\,b^3+b^5}{3\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a\,b^4-7\,a^3\,b^2\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{d\,\left(a^3+3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}","Not used",1,"(log(a + b*tan(c + d*x))*((4*a*b)/(a^2 + b^2)^3 - (8*a*b^3)/(a^2 + b^2)^4))/d + log(tan(c + d*x) - 1i)/(2*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)) + (log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) + ((tan(c + d*x)^2*(b^5 - 3*a^2*b^3))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) - (13*a^4*b + b^5 + 2*a^2*b^3)/(3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(a*b^4 - 7*a^3*b^2))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2))/(d*(a^3 + b^3*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^2 + 3*a^2*b*tan(c + d*x)))","B"
493,1,385,226,4.869427,"\text{Not used}","int(cot(c + d*x)/(a + b*tan(c + d*x))^4,x)","\frac{\frac{47\,a^4\,b^2+34\,a^2\,b^4+11\,b^6}{6\,a\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(27\,a^4\,b^3+16\,a^2\,b^5+5\,b^7\right)}{2\,a^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(6\,a^4\,b^4+3\,a^2\,b^6+b^8\right)}{a^3\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}}{d\,\left(a^3+3\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4+a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2-a\,b^3\,4{}\mathrm{i}+b^4\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^4\,d}-\frac{b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(10\,a^6+5\,a^4\,b^2+4\,a^2\,b^4+b^6\right)}{a^4\,d\,{\left(a^2+b^2\right)}^4}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}","Not used",1,"((11*b^6 + 34*a^2*b^4 + 47*a^4*b^2)/(6*a*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(5*b^7 + 16*a^2*b^5 + 27*a^4*b^3))/(2*a^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(b^8 + 3*a^2*b^6 + 6*a^4*b^4))/(a^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^3 + b^3*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^2 + 3*a^2*b*tan(c + d*x))) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)) - log(tan(c + d*x) - 1i)/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2)) + log(tan(c + d*x))/(a^4*d) - (b^2*log(a + b*tan(c + d*x))*(10*a^6 + b^6 + 4*a^2*b^4 + 5*a^4*b^2))/(a^4*d*(a^2 + b^2)^4)","B"
494,1,430,278,5.548220,"\text{Not used}","int(cot(c + d*x)^2/(a + b*tan(c + d*x))^4,x)","\frac{4\,b^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(5\,a^6+6\,a^4\,b^2+4\,a^2\,b^4+b^6\right)}{a^5\,d\,{\left(a^2+b^2\right)}^4}-\frac{\frac{1}{a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(a^6\,b^3+13\,a^4\,b^5+12\,a^2\,b^7+4\,b^9\right)}{a^4\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(3\,a^6\,b^2+31\,a^4\,b^4+30\,a^2\,b^6+10\,b^8\right)}{a^3\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(9\,a^6\,b+64\,a^4\,b^3+65\,a^2\,b^5+22\,b^7\right)}{3\,a^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}}{d\,\left(a^3\,\mathrm{tan}\left(c+d\,x\right)+3\,a^2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^3+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^4\right)}-\frac{4\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^5\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{2\,d\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}","Not used",1,"(4*b^3*log(a + b*tan(c + d*x))*(5*a^6 + b^6 + 4*a^2*b^4 + 6*a^4*b^2))/(a^5*d*(a^2 + b^2)^4) - (log(tan(c + d*x) + 1i)*1i)/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) - (1/a + (tan(c + d*x)^3*(4*b^9 + 12*a^2*b^7 + 13*a^4*b^5 + a^6*b^3))/(a^4*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(10*b^8 + 30*a^2*b^6 + 31*a^4*b^4 + 3*a^6*b^2))/(a^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(9*a^6*b + 22*b^7 + 65*a^2*b^5 + 64*a^4*b^3))/(3*a^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^3*tan(c + d*x) + b^3*tan(c + d*x)^4 + 3*a^2*b*tan(c + d*x)^2 + 3*a*b^2*tan(c + d*x)^3)) - (4*b*log(tan(c + d*x)))/(a^5*d) - log(tan(c + d*x) - 1i)/(2*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i))","B"
495,1,49,31,4.108356,"\text{Not used}","int(1/(5*tan(c + d*x) + 3),x)","\frac{5\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{3}{5}\right)}{34\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{5}{68}-\frac{3}{68}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-\frac{5}{68}+\frac{3}{68}{}\mathrm{i}\right)}{d}","Not used",1,"(5*log(tan(c + d*x) + 3/5))/(34*d) - (log(tan(c + d*x) + 1i)*(5/68 - 3i/68))/d - (log(tan(c + d*x) - 1i)*(5/68 + 3i/68))/d","B"
496,1,64,50,3.951407,"\text{Not used}","int(1/(5*tan(c + d*x) + 3)^2,x)","\frac{15\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{3}{5}\right)}{578\,d}-\frac{1}{34\,d\,\left(\mathrm{tan}\left(c+d\,x\right)+\frac{3}{5}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{15}{1156}+\frac{2}{289}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-\frac{15}{1156}-\frac{2}{289}{}\mathrm{i}\right)}{d}","Not used",1,"(15*log(tan(c + d*x) + 3/5))/(578*d) - (log(tan(c + d*x) - 1i)*(15/1156 - 2i/289))/d - (log(tan(c + d*x) + 1i)*(15/1156 + 2i/289))/d - 1/(34*d*(tan(c + d*x) + 3/5))","B"
497,1,84,69,4.016846,"\text{Not used}","int(1/(5*tan(c + d*x) + 3)^3,x)","\frac{5\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{3}{5}\right)}{19652\,d}-\frac{\frac{3\,\mathrm{tan}\left(c+d\,x\right)}{578}+\frac{7}{1156}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2+\frac{6\,\mathrm{tan}\left(c+d\,x\right)}{5}+\frac{9}{25}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{5}{39304}+\frac{99}{39304}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-\frac{5}{39304}-\frac{99}{39304}{}\mathrm{i}\right)}{d}","Not used",1,"(5*log(tan(c + d*x) + 3/5))/(19652*d) - (log(tan(c + d*x) + 1i)*(5/39304 + 99i/39304))/d - (log(tan(c + d*x) - 1i)*(5/39304 - 99i/39304))/d - ((3*tan(c + d*x))/578 + 7/1156)/(d*((6*tan(c + d*x))/5 + tan(c + d*x)^2 + 9/25))","B"
498,1,104,88,4.119844,"\text{Not used}","int(1/(5*tan(c + d*x) + 3)^4,x)","-\frac{60\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{3}{5}\right)}{83521\,d}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{19652}+\frac{57\,\mathrm{tan}\left(c+d\,x\right)}{98260}+\frac{266}{368475}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^3+\frac{9\,{\mathrm{tan}\left(c+d\,x\right)}^2}{5}+\frac{27\,\mathrm{tan}\left(c+d\,x\right)}{25}+\frac{27}{125}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(\frac{30}{83521}+\frac{161}{668168}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{30}{83521}-\frac{161}{668168}{}\mathrm{i}\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*(30/83521 + 161i/668168))/d + (log(tan(c + d*x) + 1i)*(30/83521 - 161i/668168))/d - (60*log(tan(c + d*x) + 3/5))/(83521*d) - ((57*tan(c + d*x))/98260 + tan(c + d*x)^2/19652 + 266/368475)/(d*((27*tan(c + d*x))/25 + (9*tan(c + d*x)^2)/5 + tan(c + d*x)^3 + 27/125))","B"
499,1,49,31,4.117831,"\text{Not used}","int(1/(3*tan(c + d*x) + 5),x)","\frac{3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{5}{3}\right)}{34\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{3}{68}-\frac{5}{68}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-\frac{3}{68}+\frac{5}{68}{}\mathrm{i}\right)}{d}","Not used",1,"(3*log(tan(c + d*x) + 5/3))/(34*d) - (log(tan(c + d*x) + 1i)*(3/68 - 5i/68))/d - (log(tan(c + d*x) - 1i)*(3/68 + 5i/68))/d","B"
500,1,64,50,4.084408,"\text{Not used}","int(1/(3*tan(c + d*x) + 5)^2,x)","\frac{15\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{5}{3}\right)}{578\,d}-\frac{1}{34\,d\,\left(\mathrm{tan}\left(c+d\,x\right)+\frac{5}{3}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{15}{1156}-\frac{2}{289}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-\frac{15}{1156}+\frac{2}{289}{}\mathrm{i}\right)}{d}","Not used",1,"(15*log(tan(c + d*x) + 5/3))/(578*d) - (log(tan(c + d*x) - 1i)*(15/1156 + 2i/289))/d - (log(tan(c + d*x) + 1i)*(15/1156 - 2i/289))/d - 1/(34*d*(tan(c + d*x) + 5/3))","B"
501,1,84,69,4.088606,"\text{Not used}","int(1/(3*tan(c + d*x) + 5)^3,x)","\frac{99\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{5}{3}\right)}{19652\,d}-\frac{\frac{5\,\mathrm{tan}\left(c+d\,x\right)}{578}+\frac{67}{3468}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2+\frac{10\,\mathrm{tan}\left(c+d\,x\right)}{3}+\frac{25}{9}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{99}{39304}+\frac{5}{39304}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-\frac{99}{39304}-\frac{5}{39304}{}\mathrm{i}\right)}{d}","Not used",1,"(99*log(tan(c + d*x) + 5/3))/(19652*d) - (log(tan(c + d*x) + 1i)*(99/39304 + 5i/39304))/d - (log(tan(c + d*x) - 1i)*(99/39304 - 5i/39304))/d - ((5*tan(c + d*x))/578 + 67/3468)/(d*((10*tan(c + d*x))/3 + tan(c + d*x)^2 + 25/9))","B"
502,1,104,88,4.068694,"\text{Not used}","int(1/(3*tan(c + d*x) + 5)^4,x)","\frac{60\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+\frac{5}{3}\right)}{83521\,d}-\frac{\frac{33\,{\mathrm{tan}\left(c+d\,x\right)}^2}{19652}+\frac{415\,\mathrm{tan}\left(c+d\,x\right)}{58956}+\frac{1082}{132651}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^3+5\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{25\,\mathrm{tan}\left(c+d\,x\right)}{3}+\frac{125}{27}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-\frac{30}{83521}+\frac{161}{668168}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-\frac{30}{83521}-\frac{161}{668168}{}\mathrm{i}\right)}{d}","Not used",1,"(60*log(tan(c + d*x) + 5/3))/(83521*d) - (log(tan(c + d*x) + 1i)*(30/83521 + 161i/668168))/d - (log(tan(c + d*x) - 1i)*(30/83521 - 161i/668168))/d - ((415*tan(c + d*x))/58956 + (33*tan(c + d*x)^2)/19652 + 1082/132651)/(d*((25*tan(c + d*x))/3 + 5*tan(c + d*x)^2 + tan(c + d*x)^3 + 125/27))","B"
503,1,371,456,17.635720,"\text{Not used}","int(tan(c + d*x)^4*(a + b*tan(c + d*x))^(1/2),x)","\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a\,\left(\frac{4\,a^2}{b^3\,d}-\frac{2\,\left(a^2+b^2\right)}{b^3\,d}\right)-\frac{8\,a^3}{b^3\,d}+\frac{4\,a\,\left(a^2+b^2\right)}{b^3\,d}\right)+\left(\frac{4\,a^2}{3\,b^3\,d}-\frac{2\,\left(a^2+b^2\right)}{3\,b^3\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^3\,d}-\frac{4\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^3\,d}+\mathrm{atan}\left(\frac{d^3\,\left(\frac{16\,\left(b^4-a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(a-b\,1{}\mathrm{i}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{8\,\left(a^2\,b^3+b^5\right)}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{d^3\,\left(\frac{16\,\left(b^4-a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(a+b\,1{}\mathrm{i}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{-\frac{a+b\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{8\,\left(a^2\,b^3+b^5\right)}\right)\,\sqrt{-\frac{a+b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((d^3*((16*(b^4 - a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*(a - b*1i)*(a + b*tan(c + d*x))^(1/2))/d^2)*(-(a - b*1i)/(4*d^2))^(1/2)*1i)/(8*(b^5 + a^2*b^3)))*(-(a - b*1i)/(4*d^2))^(1/2)*2i + atan((d^3*((16*(b^4 - a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*(a + b*1i)*(a + b*tan(c + d*x))^(1/2))/d^2)*(-(a + b*1i)/(4*d^2))^(1/2)*1i)/(8*(b^5 + a^2*b^3)))*(-(a + b*1i)/(4*d^2))^(1/2)*2i + (a + b*tan(c + d*x))^(1/2)*(2*a*((4*a^2)/(b^3*d) - (2*(a^2 + b^2))/(b^3*d)) - (8*a^3)/(b^3*d) + (4*a*(a^2 + b^2))/(b^3*d)) + ((4*a^2)/(3*b^3*d) - (2*(a^2 + b^2))/(3*b^3*d))*(a + b*tan(c + d*x))^(3/2) + (2*(a + b*tan(c + d*x))^(7/2))/(7*b^3*d) - (4*a*(a + b*tan(c + d*x))^(5/2))/(5*b^3*d)","B"
504,1,354,159,8.485032,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x))^(1/2),x)","\left(\frac{2\,a^2}{b^2\,d}-\frac{2\,\left(a^2+b^2\right)}{b^2\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^2\,d}-\frac{2\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^2\,d}+\mathrm{atan}\left(\frac{b^4\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}+\frac{32\,a\,b^3\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b^4\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}-\frac{32\,a\,b^3\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a+b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"((2*a^2)/(b^2*d) - (2*(a^2 + b^2))/(b^2*d))*(a + b*tan(c + d*x))^(1/2) + atan((b^4*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^5*16i)/d + (a^2*b^3*16i)/d) + (32*a*b^3*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^5*16i)/d + (a^2*b^3*16i)/d))*((a - b*1i)/(4*d^2))^(1/2)*2i - atan((b^4*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^5*16i)/d + (a^2*b^3*16i)/d) - (32*a*b^3*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^5*16i)/d + (a^2*b^3*16i)/d))*((a + b*1i)/(4*d^2))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(5/2))/(5*b^2*d) - (2*a*(a + b*tan(c + d*x))^(3/2))/(3*b^2*d)","B"
505,1,231,382,5.465743,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atanh}\left(\frac{d^3\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{d^2}}\,\left(\frac{16\,\left(b^4-a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(a-b\,1{}\mathrm{i}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)}{16\,\left(a^2\,b^3+b^5\right)}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{d^2}}+\mathrm{atanh}\left(\frac{d^3\,\sqrt{-\frac{a+b\,1{}\mathrm{i}}{d^2}}\,\left(\frac{16\,\left(b^4-a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(a+b\,1{}\mathrm{i}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)}{16\,\left(a^2\,b^3+b^5\right)}\right)\,\sqrt{-\frac{a+b\,1{}\mathrm{i}}{d^2}}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b\,d}","Not used",1,"atanh((d^3*(-(a - b*1i)/d^2)^(1/2)*((16*(b^4 - a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*(a - b*1i)*(a + b*tan(c + d*x))^(1/2))/d^2))/(16*(b^5 + a^2*b^3)))*(-(a - b*1i)/d^2)^(1/2) + atanh((d^3*(-(a + b*1i)/d^2)^(1/2)*((16*(b^4 - a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*(a + b*1i)*(a + b*tan(c + d*x))^(1/2))/d^2))/(16*(b^5 + a^2*b^3)))*(-(a + b*1i)/d^2)^(1/2) + (2*(a + b*tan(c + d*x))^(3/2))/(3*b*d)","B"
506,1,290,106,4.792382,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x))^(1/2),x)","\frac{2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{b^4\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}+\frac{32\,a\,b^3\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{b^4\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}-\frac{32\,a\,b^3\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^5\,16{}\mathrm{i}}{d}+\frac{a^2\,b^3\,16{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a+b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"(2*(a + b*tan(c + d*x))^(1/2))/d - atan((b^4*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^5*16i)/d + (a^2*b^3*16i)/d) + (32*a*b^3*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^5*16i)/d + (a^2*b^3*16i)/d))*((a - b*1i)/(4*d^2))^(1/2)*2i + atan((b^4*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^5*16i)/d + (a^2*b^3*16i)/d) - (32*a*b^3*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^5*16i)/d + (a^2*b^3*16i)/d))*((a + b*1i)/(4*d^2))^(1/2)*2i","B"
507,1,213,358,4.177552,"\text{Not used}","int((a + b*tan(c + d*x))^(1/2),x)","-\mathrm{atanh}\left(\frac{d^3\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{d^2}}\,\left(\frac{16\,\left(b^4-a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(a-b\,1{}\mathrm{i}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)}{16\,\left(a^2\,b^3+b^5\right)}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{d^2}}-\mathrm{atanh}\left(\frac{d^3\,\sqrt{-\frac{a+b\,1{}\mathrm{i}}{d^2}}\,\left(\frac{16\,\left(b^4-a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(a+b\,1{}\mathrm{i}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)}{16\,\left(a^2\,b^3+b^5\right)}\right)\,\sqrt{-\frac{a+b\,1{}\mathrm{i}}{d^2}}","Not used",1,"- atanh((d^3*(-(a - b*1i)/d^2)^(1/2)*((16*(b^4 - a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*(a - b*1i)*(a + b*tan(c + d*x))^(1/2))/d^2))/(16*(b^5 + a^2*b^3)))*(-(a - b*1i)/d^2)^(1/2) - atanh((d^3*(-(a + b*1i)/d^2)^(1/2)*((16*(b^4 - a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*(a + b*1i)*(a + b*tan(c + d*x))^(1/2))/d^2))/(16*(b^5 + a^2*b^3)))*(-(a + b*1i)/d^2)^(1/2)","B"
508,1,682,116,4.062085,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x))^(1/2),x)","-\frac{2\,\sqrt{a}\,\mathrm{atanh}\left(\frac{64\,\sqrt{a}\,b^{12}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^5\,b^8+640\,a^3\,b^{10}+64\,a\,b^{12}}+\frac{640\,a^{5/2}\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^5\,b^8+640\,a^3\,b^{10}+64\,a\,b^{12}}+\frac{576\,a^{9/2}\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^5\,b^8+640\,a^3\,b^{10}+64\,a\,b^{12}}\right)}{d}-\mathrm{atan}\left(-\frac{32\,a\,b^{11}\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a\,b^{12}}{d}-\frac{a^2\,b^{11}\,48{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}-\frac{a^4\,b^9\,48{}\mathrm{i}}{d}}+\frac{a^2\,b^{10}\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\frac{16\,a\,b^{12}}{d}-\frac{a^2\,b^{11}\,48{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}-\frac{a^4\,b^9\,48{}\mathrm{i}}{d}}+\frac{96\,a^3\,b^9\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a\,b^{12}}{d}-\frac{a^2\,b^{11}\,48{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}-\frac{a^4\,b^9\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{32\,a\,b^{11}\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,48{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}}+\frac{a^2\,b^{10}\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,48{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^9\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,48{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a+b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"- atan((a^2*b^10*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((16*a*b^12)/d - (a^2*b^11*48i)/d + (16*a^3*b^10)/d - (a^4*b^9*48i)/d) - (32*a*b^11*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a*b^12)/d - (a^2*b^11*48i)/d + (16*a^3*b^10)/d - (a^4*b^9*48i)/d) + (96*a^3*b^9*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a*b^12)/d - (a^2*b^11*48i)/d + (16*a^3*b^10)/d - (a^4*b^9*48i)/d))*((a - b*1i)/(4*d^2))^(1/2)*2i - atan((32*a*b^11*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a*b^12)/d + (a^2*b^11*48i)/d + (16*a^3*b^10)/d + (a^4*b^9*48i)/d) + (a^2*b^10*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((16*a*b^12)/d + (a^2*b^11*48i)/d + (16*a^3*b^10)/d + (a^4*b^9*48i)/d) - (96*a^3*b^9*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a*b^12)/d + (a^2*b^11*48i)/d + (16*a^3*b^10)/d + (a^4*b^9*48i)/d))*((a + b*1i)/(4*d^2))^(1/2)*2i - (2*a^(1/2)*atanh((64*a^(1/2)*b^12*(a + b*tan(c + d*x))^(1/2))/(64*a*b^12 + 640*a^3*b^10 + 576*a^5*b^8) + (640*a^(5/2)*b^10*(a + b*tan(c + d*x))^(1/2))/(64*a*b^12 + 640*a^3*b^10 + 576*a^5*b^8) + (576*a^(9/2)*b^8*(a + b*tan(c + d*x))^(1/2))/(64*a*b^12 + 640*a^3*b^10 + 576*a^5*b^8)))/d","B"
509,1,832,415,4.043819,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atan}\left(-\frac{b^{12}\,\sqrt{-\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,b^{13}}{d}+\frac{32\,a^2\,b^{11}}{d}+\frac{16\,a^4\,b^9}{d}+\frac{a\,b^{12}\,16{}\mathrm{i}}{d}+\frac{a^3\,b^{10}\,16{}\mathrm{i}}{d}}+\frac{64\,a\,b^{11}\,\sqrt{-\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,b^{13}}{d}+\frac{32\,a^2\,b^{11}}{d}+\frac{16\,a^4\,b^9}{d}+\frac{a\,b^{12}\,16{}\mathrm{i}}{d}+\frac{a^3\,b^{10}\,16{}\mathrm{i}}{d}}+\frac{32\,a^3\,b^9\,\sqrt{-\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,b^{13}}{d}+\frac{32\,a^2\,b^{11}}{d}+\frac{16\,a^4\,b^9}{d}+\frac{a\,b^{12}\,16{}\mathrm{i}}{d}+\frac{a^3\,b^{10}\,16{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{a+b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b^{12}\,\sqrt{-\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,b^{13}}{d}+\frac{32\,a^2\,b^{11}}{d}+\frac{16\,a^4\,b^9}{d}-\frac{a\,b^{12}\,16{}\mathrm{i}}{d}-\frac{a^3\,b^{10}\,16{}\mathrm{i}}{d}}+\frac{64\,a\,b^{11}\,\sqrt{-\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,b^{13}}{d}+\frac{32\,a^2\,b^{11}}{d}+\frac{16\,a^4\,b^9}{d}-\frac{a\,b^{12}\,16{}\mathrm{i}}{d}-\frac{a^3\,b^{10}\,16{}\mathrm{i}}{d}}+\frac{32\,a^3\,b^9\,\sqrt{-\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,b^{13}}{d}+\frac{32\,a^2\,b^{11}}{d}+\frac{16\,a^4\,b^9}{d}-\frac{a\,b^{12}\,16{}\mathrm{i}}{d}-\frac{a^3\,b^{10}\,16{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\frac{b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a\,d-d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}+\frac{b\,\mathrm{atan}\left(\frac{b^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\sqrt{a}\,\left(128\,b^{13}+128\,a^2\,b^{11}+32\,a^4\,b^9+\frac{32\,b^{15}}{a^2}\right)}+\frac{a^{3/2}\,b^{11}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{128\,b^{13}+128\,a^2\,b^{11}+32\,a^4\,b^9+\frac{32\,b^{15}}{a^2}}+\frac{a^{7/2}\,b^9\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{128\,b^{13}+128\,a^2\,b^{11}+32\,a^4\,b^9+\frac{32\,b^{15}}{a^2}}+\frac{b^{15}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{a^{5/2}\,\left(128\,b^{13}+128\,a^2\,b^{11}+32\,a^4\,b^9+\frac{32\,b^{15}}{a^2}\right)}\right)\,1{}\mathrm{i}}{\sqrt{a}\,d}","Not used",1,"atan((64*a*b^11*(- a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*b^13)/d + (a*b^12*16i)/d + (32*a^2*b^11)/d + (a^3*b^10*16i)/d + (16*a^4*b^9)/d) - (b^12*(- a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*b^13)/d + (a*b^12*16i)/d + (32*a^2*b^11)/d + (a^3*b^10*16i)/d + (16*a^4*b^9)/d) + (32*a^3*b^9*(- a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*b^13)/d + (a*b^12*16i)/d + (32*a^2*b^11)/d + (a^3*b^10*16i)/d + (16*a^4*b^9)/d))*(-(a + b*1i)/(4*d^2))^(1/2)*2i - atan((b^12*((b*1i)/(4*d^2) - a/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*b^13)/d - (a*b^12*16i)/d + (32*a^2*b^11)/d - (a^3*b^10*16i)/d + (16*a^4*b^9)/d) + (64*a*b^11*((b*1i)/(4*d^2) - a/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*b^13)/d - (a*b^12*16i)/d + (32*a^2*b^11)/d - (a^3*b^10*16i)/d + (16*a^4*b^9)/d) + (32*a^3*b^9*((b*1i)/(4*d^2) - a/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*b^13)/d - (a*b^12*16i)/d + (32*a^2*b^11)/d - (a^3*b^10*16i)/d + (16*a^4*b^9)/d))*(-(a - b*1i)/(4*d^2))^(1/2)*2i + (b*(a + b*tan(c + d*x))^(1/2))/(a*d - d*(a + b*tan(c + d*x))) + (b*atan((b^13*(a + b*tan(c + d*x))^(1/2)*128i)/(a^(1/2)*(128*b^13 + 128*a^2*b^11 + 32*a^4*b^9 + (32*b^15)/a^2)) + (a^(3/2)*b^11*(a + b*tan(c + d*x))^(1/2)*128i)/(128*b^13 + 128*a^2*b^11 + 32*a^4*b^9 + (32*b^15)/a^2) + (a^(7/2)*b^9*(a + b*tan(c + d*x))^(1/2)*32i)/(128*b^13 + 128*a^2*b^11 + 32*a^4*b^9 + (32*b^15)/a^2) + (b^15*(a + b*tan(c + d*x))^(1/2)*32i)/(a^(5/2)*(128*b^13 + 128*a^2*b^11 + 32*a^4*b^9 + (32*b^15)/a^2)))*1i)/(a^(1/2)*d)","B"
510,1,1910,189,4.834329,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x))^(1/2),x)","\frac{\ln\left(-\frac{56\,a^5\,b^{10}+63\,a^3\,b^{12}+7\,a\,b^{14}}{2\,a^2\,d^5}-\frac{\left(a^2+\frac{b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^6\,b^8+16\,a^4\,b^{10}+17\,a^2\,b^{12}-b^{14}\right)}{a^2\,d^4}+\frac{\left(a^2+\frac{b^2}{8}\right)\,\left(\frac{-192\,a^6\,b^8\,d^2-192\,a^4\,b^{10}\,d^2+4\,a^2\,b^{12}\,d^2+4\,b^{14}\,d^2}{2\,a^2\,d^5}-\frac{\left(a^2+\frac{b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2+256\,a^3\,b^{10}\,d^2+4\,a\,b^{12}\,d^2\right)}{a^2\,d^4}-\frac{\left(a^2+\frac{b^2}{8}\right)\,\left(\frac{768\,a^5\,b^8\,d^4+896\,a^3\,b^{10}\,d^4+128\,a\,b^{12}\,d^4}{2\,a^2\,d^5}+\frac{\left(a^2+\frac{b^2}{8}\right)\,\left(768\,a^4\,b^8\,d^4+512\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^5\,\sqrt{a^3}}\right)}{d\,\sqrt{a^3}}\right)}{d\,\sqrt{a^3}}\right)}{d\,\sqrt{a^3}}\right)}{d\,\sqrt{a^3}}\right)\,\left(a^2+\frac{b^2}{8}\right)}{d\,\sqrt{a^3}}-\frac{\frac{b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4}+\frac{b^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{4\,a}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2+a^2\,d-2\,a\,d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\ln\left(\frac{\left(8\,a^2+b^2\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^6\,b^8+16\,a^4\,b^{10}+17\,a^2\,b^{12}-b^{14}\right)}{a^2\,d^4}-\frac{\left(8\,a^2+b^2\right)\,\left(\frac{-192\,a^6\,b^8\,d^2-192\,a^4\,b^{10}\,d^2+4\,a^2\,b^{12}\,d^2+4\,b^{14}\,d^2}{2\,a^2\,d^5}+\frac{\left(8\,a^2+b^2\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2+256\,a^3\,b^{10}\,d^2+4\,a\,b^{12}\,d^2\right)}{a^2\,d^4}+\frac{\left(8\,a^2+b^2\right)\,\left(\frac{768\,a^5\,b^8\,d^4+896\,a^3\,b^{10}\,d^4+128\,a\,b^{12}\,d^4}{2\,a^2\,d^5}-\frac{\left(8\,a^2+b^2\right)\,\left(768\,a^4\,b^8\,d^4+512\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{8\,a^2\,d^5\,\sqrt{a^3}}\right)}{8\,d\,\sqrt{a^3}}\right)}{8\,d\,\sqrt{a^3}}\right)}{8\,d\,\sqrt{a^3}}\right)}{8\,d\,\sqrt{a^3}}-\frac{56\,a^5\,b^{10}+63\,a^3\,b^{12}+7\,a\,b^{14}}{2\,a^2\,d^5}\right)\,\left(8\,a^2+b^2\right)}{8\,d\,\sqrt{a^3}}-\mathrm{atan}\left(\frac{b^{14}\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{\frac{b^{15}\,1{}\mathrm{i}}{d}+\frac{a^2\,b^{13}\,17{}\mathrm{i}}{d}-\frac{16\,a^3\,b^{12}}{d}+\frac{a^4\,b^{11}\,64{}\mathrm{i}}{d}-\frac{16\,a^5\,b^{10}}{d}+\frac{a^6\,b^9\,48{}\mathrm{i}}{d}}+\frac{2\,b^{13}\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{a\,b^{13}\,17{}\mathrm{i}}{d}-\frac{16\,a^2\,b^{12}}{d}+\frac{a^3\,b^{11}\,64{}\mathrm{i}}{d}-\frac{16\,a^4\,b^{10}}{d}+\frac{a^5\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a\,d}}+\frac{b^{12}\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^{13}\,17{}\mathrm{i}}{d}-\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,64{}\mathrm{i}}{d}-\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a^2\,d}}+\frac{a^2\,b^{10}\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\frac{b^{13}\,17{}\mathrm{i}}{d}-\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,64{}\mathrm{i}}{d}-\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a^2\,d}}+\frac{96\,a^3\,b^9\,\sqrt{\frac{a}{4\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^{13}\,17{}\mathrm{i}}{d}-\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,64{}\mathrm{i}}{d}-\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a^2\,d}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{b^{14}\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{\frac{b^{15}\,1{}\mathrm{i}}{d}+\frac{a^2\,b^{13}\,17{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{12}}{d}+\frac{a^4\,b^{11}\,64{}\mathrm{i}}{d}+\frac{16\,a^5\,b^{10}}{d}+\frac{a^6\,b^9\,48{}\mathrm{i}}{d}}-\frac{2\,b^{13}\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{a\,b^{13}\,17{}\mathrm{i}}{d}+\frac{16\,a^2\,b^{12}}{d}+\frac{a^3\,b^{11}\,64{}\mathrm{i}}{d}+\frac{16\,a^4\,b^{10}}{d}+\frac{a^5\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a\,d}}+\frac{b^{12}\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^{13}\,17{}\mathrm{i}}{d}+\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,64{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a^2\,d}}+\frac{a^2\,b^{10}\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\frac{b^{13}\,17{}\mathrm{i}}{d}+\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,64{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a^2\,d}}-\frac{96\,a^3\,b^9\,\sqrt{\frac{a}{4\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^{13}\,17{}\mathrm{i}}{d}+\frac{16\,a\,b^{12}}{d}+\frac{a^2\,b^{11}\,64{}\mathrm{i}}{d}+\frac{16\,a^3\,b^{10}}{d}+\frac{a^4\,b^9\,48{}\mathrm{i}}{d}+\frac{b^{15}\,1{}\mathrm{i}}{a^2\,d}}\right)\,\sqrt{\frac{a+b\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((b^14*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*2i)/((b^15*1i)/d + (a^2*b^13*17i)/d + (16*a^3*b^12)/d + (a^4*b^11*64i)/d + (16*a^5*b^10)/d + (a^6*b^9*48i)/d) - (2*b^13*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((a*b^13*17i)/d + (16*a^2*b^12)/d + (a^3*b^11*64i)/d + (16*a^4*b^10)/d + (a^5*b^9*48i)/d + (b^15*1i)/(a*d)) + (b^12*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^13*17i)/d + (16*a*b^12)/d + (a^2*b^11*64i)/d + (16*a^3*b^10)/d + (a^4*b^9*48i)/d + (b^15*1i)/(a^2*d)) + (a^2*b^10*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((b^13*17i)/d + (16*a*b^12)/d + (a^2*b^11*64i)/d + (16*a^3*b^10)/d + (a^4*b^9*48i)/d + (b^15*1i)/(a^2*d)) - (96*a^3*b^9*(a/(4*d^2) + (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^13*17i)/d + (16*a*b^12)/d + (a^2*b^11*64i)/d + (16*a^3*b^10)/d + (a^4*b^9*48i)/d + (b^15*1i)/(a^2*d)))*((a + b*1i)/(4*d^2))^(1/2)*2i - atan((b^14*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*2i)/((b^15*1i)/d + (a^2*b^13*17i)/d - (16*a^3*b^12)/d + (a^4*b^11*64i)/d - (16*a^5*b^10)/d + (a^6*b^9*48i)/d) + (2*b^13*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((a*b^13*17i)/d - (16*a^2*b^12)/d + (a^3*b^11*64i)/d - (16*a^4*b^10)/d + (a^5*b^9*48i)/d + (b^15*1i)/(a*d)) + (b^12*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^13*17i)/d - (16*a*b^12)/d + (a^2*b^11*64i)/d - (16*a^3*b^10)/d + (a^4*b^9*48i)/d + (b^15*1i)/(a^2*d)) + (a^2*b^10*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((b^13*17i)/d - (16*a*b^12)/d + (a^2*b^11*64i)/d - (16*a^3*b^10)/d + (a^4*b^9*48i)/d + (b^15*1i)/(a^2*d)) + (96*a^3*b^9*(a/(4*d^2) - (b*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^13*17i)/d - (16*a*b^12)/d + (a^2*b^11*64i)/d - (16*a^3*b^10)/d + (a^4*b^9*48i)/d + (b^15*1i)/(a^2*d)))*((a - b*1i)/(4*d^2))^(1/2)*2i - ((b^2*(a + b*tan(c + d*x))^(1/2))/4 + (b^2*(a + b*tan(c + d*x))^(3/2))/(4*a))/(d*(a + b*tan(c + d*x))^2 + a^2*d - 2*a*d*(a + b*tan(c + d*x))) + (log(- (7*a*b^14 + 63*a^3*b^12 + 56*a^5*b^10)/(2*a^2*d^5) - ((a^2 + b^2/8)*(((a + b*tan(c + d*x))^(1/2)*(17*a^2*b^12 - b^14 + 16*a^4*b^10 + 96*a^6*b^8))/(a^2*d^4) + ((a^2 + b^2/8)*((4*b^14*d^2 + 4*a^2*b^12*d^2 - 192*a^4*b^10*d^2 - 192*a^6*b^8*d^2)/(2*a^2*d^5) - ((a^2 + b^2/8)*(((a + b*tan(c + d*x))^(1/2)*(4*a*b^12*d^2 + 256*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(a^2*d^4) - ((a^2 + b^2/8)*((128*a*b^12*d^4 + 896*a^3*b^10*d^4 + 768*a^5*b^8*d^4)/(2*a^2*d^5) + ((a^2 + b^2/8)*(512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^5*(a^3)^(1/2))))/(d*(a^3)^(1/2))))/(d*(a^3)^(1/2))))/(d*(a^3)^(1/2))))/(d*(a^3)^(1/2)))*(a^2 + b^2/8))/(d*(a^3)^(1/2)) - (log(((8*a^2 + b^2)*(((a + b*tan(c + d*x))^(1/2)*(17*a^2*b^12 - b^14 + 16*a^4*b^10 + 96*a^6*b^8))/(a^2*d^4) - ((8*a^2 + b^2)*((4*b^14*d^2 + 4*a^2*b^12*d^2 - 192*a^4*b^10*d^2 - 192*a^6*b^8*d^2)/(2*a^2*d^5) + ((8*a^2 + b^2)*(((a + b*tan(c + d*x))^(1/2)*(4*a*b^12*d^2 + 256*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(a^2*d^4) + ((8*a^2 + b^2)*((128*a*b^12*d^4 + 896*a^3*b^10*d^4 + 768*a^5*b^8*d^4)/(2*a^2*d^5) - ((8*a^2 + b^2)*(512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(8*a^2*d^5*(a^3)^(1/2))))/(8*d*(a^3)^(1/2))))/(8*d*(a^3)^(1/2))))/(8*d*(a^3)^(1/2))))/(8*d*(a^3)^(1/2)) - (7*a*b^14 + 63*a^3*b^12 + 56*a^5*b^10)/(2*a^2*d^5))*(8*a^2 + b^2))/(8*d*(a^3)^(1/2))","B"
511,1,1355,209,41.577276,"\text{Not used}","int(tan(c + d*x)^4*(a + b*tan(c + d*x))^(3/2),x)","\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a\,\left(2\,a\,\left(\frac{4\,a^2}{b^3\,d}-\frac{2\,\left(a^2+b^2\right)}{b^3\,d}\right)-\frac{8\,a^3}{b^3\,d}+\frac{4\,a\,\left(a^2+b^2\right)}{b^3\,d}\right)-\left(\frac{4\,a^2}{b^3\,d}-\frac{2\,\left(a^2+b^2\right)}{b^3\,d}\right)\,\left(a^2+b^2\right)+\frac{2\,a^4}{b^3\,d}\right)+{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}\,\left(\frac{2\,a\,\left(\frac{4\,a^2}{b^3\,d}-\frac{2\,\left(a^2+b^2\right)}{b^3\,d}\right)}{3}-\frac{8\,a^3}{3\,b^3\,d}+\frac{4\,a\,\left(a^2+b^2\right)}{3\,b^3\,d}\right)+\left(\frac{4\,a^2}{5\,b^3\,d}-\frac{2\,\left(a^2+b^2\right)}{5\,b^3\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{9/2}}{9\,b^3\,d}-\frac{4\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^3\,d}-\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}+\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}+\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"(a + b*tan(c + d*x))^(1/2)*(2*a*(2*a*((4*a^2)/(b^3*d) - (2*(a^2 + b^2))/(b^3*d)) - (8*a^3)/(b^3*d) + (4*a*(a^2 + b^2))/(b^3*d)) - ((4*a^2)/(b^3*d) - (2*(a^2 + b^2))/(b^3*d))*(a^2 + b^2) + (2*a^4)/(b^3*d)) - atan((b^6*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) + (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d))*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i - atan((b^6*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) + (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d))*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i + (a + b*tan(c + d*x))^(3/2)*((2*a*((4*a^2)/(b^3*d) - (2*(a^2 + b^2))/(b^3*d)))/3 - (8*a^3)/(3*b^3*d) + (4*a*(a^2 + b^2))/(3*b^3*d)) + ((4*a^2)/(5*b^3*d) - (2*(a^2 + b^2))/(5*b^3*d))*(a + b*tan(c + d*x))^(5/2) + (2*(a + b*tan(c + d*x))^(9/2))/(9*b^3*d) - (4*a*(a + b*tan(c + d*x))^(7/2))/(7*b^3*d)","B"
512,1,1229,181,20.206169,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x))^(3/2),x)","\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a\,\left(\frac{2\,a^2}{b^2\,d}-\frac{2\,\left(a^2+b^2\right)}{b^2\,d}\right)-\frac{2\,a^3}{b^2\,d}+\frac{2\,a\,\left(a^2+b^2\right)}{b^2\,d}\right)+\left(\frac{2\,a^2}{3\,b^2\,d}-\frac{2\,\left(a^2+b^2\right)}{3\,b^2\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^2\,d}-\frac{2\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^2\,d}+\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}+\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}+\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((b^6*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d) + (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i - atan((b^6*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d) + (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i + (a + b*tan(c + d*x))^(1/2)*(2*a*((2*a^2)/(b^2*d) - (2*(a^2 + b^2))/(b^2*d)) - (2*a^3)/(b^2*d) + (2*a*(a^2 + b^2))/(b^2*d)) + ((2*a^2)/(3*b^2*d) - (2*(a^2 + b^2))/(3*b^2*d))*(a + b*tan(c + d*x))^(3/2) + (2*(a + b*tan(c + d*x))^(7/2))/(7*b^2*d) - (2*a*(a + b*tan(c + d*x))^(5/2))/(5*b^2*d)","B"
513,1,1141,135,9.324661,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x))^(3/2),x)","\left(\frac{2\,a^2}{b\,d}-\frac{2\,\left(a^2+b^2\right)}{b\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b\,d}+\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}+\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}+\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((b^6*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) + (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d))*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i + atan((b^6*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) + (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d))*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i + ((2*a^2)/(b*d) - (2*(a^2 + b^2))/(b*d))*(a + b*tan(c + d*x))^(1/2) + (2*(a + b*tan(c + d*x))^(5/2))/(5*b*d)","B"
514,1,1112,128,6.821303,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x))^(3/2),x)","\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{2\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}+\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{16\,b^8}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{32\,a^2\,b^6}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}-\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}+\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^2\,b^6}{d}-\frac{a\,b^7\,16{}\mathrm{i}}{d}-\frac{16\,b^8}{d}+\frac{a^3\,b^5\,32{}\mathrm{i}}{d}+\frac{48\,a^4\,b^4}{d}+\frac{a^5\,b^3\,48{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((b^6*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d) + (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((32*a^2*b^6)/d - (a*b^7*16i)/d - (16*b^8)/d + (a^3*b^5*32i)/d + (48*a^4*b^4)/d + (a^5*b^3*48i)/d))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i - atan((b^6*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d) + (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((16*b^8)/d - (a*b^7*16i)/d - (32*a^2*b^6)/d + (a^3*b^5*32i)/d - (48*a^4*b^4)/d + (a^5*b^3*48i)/d))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(3/2))/(3*d) + (2*a*(a + b*tan(c + d*x))^(1/2))/d","B"
515,1,1099,111,5.425036,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2),x)","\frac{2\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}+\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}+\frac{b^8\,16{}\mathrm{i}}{d}-\frac{a^2\,b^6\,32{}\mathrm{i}}{d}-\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{32\,a\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}-\frac{a^2\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,96{}\mathrm{i}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}+\frac{96\,a^3\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{32\,a^3\,b^5}{d}-\frac{16\,a\,b^7}{d}+\frac{48\,a^5\,b^3}{d}-\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,32{}\mathrm{i}}{d}+\frac{a^4\,b^4\,48{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"(2*b*(a + b*tan(c + d*x))^(1/2))/d - atan((b^6*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d) + (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*((b^3*1i)/(4*d^2) - a^3/(4*d^2) + (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a^2*b^6*32i)/d - (16*a*b^7)/d - (b^8*16i)/d + (32*a^3*b^5)/d + (a^4*b^4*48i)/d + (48*a^5*b^3)/d))*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i - atan((b^6*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*32i)/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) + (32*a*b^5*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (a^2*b^4*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*96i)/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d) - (96*a^3*b^3*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2) - a^3/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((b^8*16i)/d - (16*a*b^7)/d - (a^2*b^6*32i)/d + (32*a^3*b^5)/d - (a^4*b^4*48i)/d + (48*a^5*b^3)/d))*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i","B"
516,1,2260,116,4.670470,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x))^(3/2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{64\,b^{16}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^{10}\,b^8+2304\,a^8\,b^{10}+1920\,a^6\,b^{12}+256\,a^4\,b^{14}+64\,a^2\,b^{16}}+\frac{256\,a^2\,b^{14}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^{10}\,b^8+2304\,a^8\,b^{10}+1920\,a^6\,b^{12}+256\,a^4\,b^{14}+64\,a^2\,b^{16}}+\frac{1920\,a^4\,b^{12}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^{10}\,b^8+2304\,a^8\,b^{10}+1920\,a^6\,b^{12}+256\,a^4\,b^{14}+64\,a^2\,b^{16}}+\frac{2304\,a^6\,b^{10}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^{10}\,b^8+2304\,a^8\,b^{10}+1920\,a^6\,b^{12}+256\,a^4\,b^{14}+64\,a^2\,b^{16}}+\frac{576\,a^8\,b^8\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{576\,a^{10}\,b^8+2304\,a^8\,b^{10}+1920\,a^6\,b^{12}+256\,a^4\,b^{14}+64\,a^2\,b^{16}}\right)\,\sqrt{a^3}}{d}-\mathrm{atan}\left(\frac{32\,a\,b^{15}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}+\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}-\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}-\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}-\frac{a^2\,b^{14}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,64{}\mathrm{i}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}+\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}-\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}-\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}+\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}-\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}-\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}+\frac{96\,a^5\,b^{11}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}+\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}-\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}-\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}+\frac{a^6\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,576{}\mathrm{i}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}+\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}-\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}-\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}-\frac{288\,a^7\,b^9\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}+\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}+\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}-\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}-\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{32\,a\,b^{15}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}-\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}+\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}+\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}+\frac{a^2\,b^{14}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,64{}\mathrm{i}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}-\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}+\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}+\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}-\frac{96\,a^3\,b^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}-\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}+\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}+\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}+\frac{96\,a^5\,b^{11}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}-\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}+\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}+\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}-\frac{a^6\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}\,576{}\mathrm{i}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}-\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}+\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}+\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}-\frac{288\,a^7\,b^9\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^2}{4\,d^2}-\frac{a^2\,b\,3{}\mathrm{i}}{4\,d^2}}}{\frac{a\,b^{17}\,16{}\mathrm{i}}{d}-\frac{64\,a^2\,b^{16}}{d}-\frac{a^3\,b^{15}\,128{}\mathrm{i}}{d}+\frac{128\,a^4\,b^{14}}{d}+\frac{a^5\,b^{13}\,96{}\mathrm{i}}{d}+\frac{192\,a^6\,b^{12}}{d}+\frac{a^7\,b^{11}\,384{}\mathrm{i}}{d}+\frac{a^9\,b^9\,144{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"- atan((32*a*b^15*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d + (64*a^2*b^16)/d - (a^3*b^15*128i)/d - (128*a^4*b^14)/d + (a^5*b^13*96i)/d - (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) - (a^2*b^14*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*64i)/((a*b^17*16i)/d + (64*a^2*b^16)/d - (a^3*b^15*128i)/d - (128*a^4*b^14)/d + (a^5*b^13*96i)/d - (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) - (96*a^3*b^13*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d + (64*a^2*b^16)/d - (a^3*b^15*128i)/d - (128*a^4*b^14)/d + (a^5*b^13*96i)/d - (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) + (96*a^5*b^11*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d + (64*a^2*b^16)/d - (a^3*b^15*128i)/d - (128*a^4*b^14)/d + (a^5*b^13*96i)/d - (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) + (a^6*b^10*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2)*576i)/((a*b^17*16i)/d + (64*a^2*b^16)/d - (a^3*b^15*128i)/d - (128*a^4*b^14)/d + (a^5*b^13*96i)/d - (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) - (288*a^7*b^9*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) - (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) + (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d + (64*a^2*b^16)/d - (a^3*b^15*128i)/d - (128*a^4*b^14)/d + (a^5*b^13*96i)/d - (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i - atan((32*a*b^15*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d - (64*a^2*b^16)/d - (a^3*b^15*128i)/d + (128*a^4*b^14)/d + (a^5*b^13*96i)/d + (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) + (a^2*b^14*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*64i)/((a*b^17*16i)/d - (64*a^2*b^16)/d - (a^3*b^15*128i)/d + (128*a^4*b^14)/d + (a^5*b^13*96i)/d + (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) - (96*a^3*b^13*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d - (64*a^2*b^16)/d - (a^3*b^15*128i)/d + (128*a^4*b^14)/d + (a^5*b^13*96i)/d + (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) + (96*a^5*b^11*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d - (64*a^2*b^16)/d - (a^3*b^15*128i)/d + (128*a^4*b^14)/d + (a^5*b^13*96i)/d + (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) - (a^6*b^10*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2)*576i)/((a*b^17*16i)/d - (64*a^2*b^16)/d - (a^3*b^15*128i)/d + (128*a^4*b^14)/d + (a^5*b^13*96i)/d + (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d) - (288*a^7*b^9*(a + b*tan(c + d*x))^(1/2)*(a^3/(4*d^2) + (b^3*1i)/(4*d^2) - (3*a*b^2)/(4*d^2) - (a^2*b*3i)/(4*d^2))^(1/2))/((a*b^17*16i)/d - (64*a^2*b^16)/d - (a^3*b^15*128i)/d + (128*a^4*b^14)/d + (a^5*b^13*96i)/d + (192*a^6*b^12)/d + (a^7*b^11*384i)/d + (a^9*b^9*144i)/d))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i - (2*atanh((64*b^16*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(64*a^2*b^16 + 256*a^4*b^14 + 1920*a^6*b^12 + 2304*a^8*b^10 + 576*a^10*b^8) + (256*a^2*b^14*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(64*a^2*b^16 + 256*a^4*b^14 + 1920*a^6*b^12 + 2304*a^8*b^10 + 576*a^10*b^8) + (1920*a^4*b^12*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(64*a^2*b^16 + 256*a^4*b^14 + 1920*a^6*b^12 + 2304*a^8*b^10 + 576*a^10*b^8) + (2304*a^6*b^10*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(64*a^2*b^16 + 256*a^4*b^14 + 1920*a^6*b^12 + 2304*a^8*b^10 + 576*a^10*b^8) + (576*a^8*b^8*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(64*a^2*b^16 + 256*a^4*b^14 + 1920*a^6*b^12 + 2304*a^8*b^10 + 576*a^10*b^8))*(a^3)^(1/2))/d","B"
517,1,3623,149,4.740489,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x))^(3/2),x)","\frac{a\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a\,d-d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}-\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}+\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{32\,\left(3\,a^9\,b^9+3\,a^7\,b^{11}+3\,a^3\,b^{15}+3\,a\,b^{17}\right)}{d^5}+\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}-\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}+\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}-\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}+\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{32\,\left(3\,a^9\,b^9+3\,a^7\,b^{11}+3\,a^3\,b^{15}+3\,a\,b^{17}\right)}{d^5}+\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}-\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\left(\left(\frac{16\,\left(40\,a^3\,b^9\,d^4+40\,a\,b^{11}\,d^4\right)}{d^5}+\frac{16\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,a^5\,b^8\,d^2+92\,a^3\,b^{10}\,d^2+44\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-28\,a^6\,b^9\,d^2+22\,a^4\,b^{11}\,d^2+50\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8\,b^8-a^6\,b^{10}+66\,a^4\,b^{12}-a^2\,b^{14}+2\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\frac{\sqrt{a}\,b\,\mathrm{atan}\left(\frac{\sqrt{a}\,b^{17}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,96{}\mathrm{i}}{96\,a^9\,b^9+2112\,a^7\,b^{11}+4896\,a^5\,b^{13}+2976\,a^3\,b^{15}+96\,a\,b^{17}}+\frac{a^{5/2}\,b^{15}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2976{}\mathrm{i}}{96\,a^9\,b^9+2112\,a^7\,b^{11}+4896\,a^5\,b^{13}+2976\,a^3\,b^{15}+96\,a\,b^{17}}+\frac{a^{9/2}\,b^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,4896{}\mathrm{i}}{96\,a^9\,b^9+2112\,a^7\,b^{11}+4896\,a^5\,b^{13}+2976\,a^3\,b^{15}+96\,a\,b^{17}}+\frac{a^{13/2}\,b^{11}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2112{}\mathrm{i}}{96\,a^9\,b^9+2112\,a^7\,b^{11}+4896\,a^5\,b^{13}+2976\,a^3\,b^{15}+96\,a\,b^{17}}+\frac{a^{17/2}\,b^9\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,96{}\mathrm{i}}{96\,a^9\,b^9+2112\,a^7\,b^{11}+4896\,a^5\,b^{13}+2976\,a^3\,b^{15}+96\,a\,b^{17}}\right)\,3{}\mathrm{i}}{d}","Not used",1,"(a*b*(a + b*tan(c + d*x))^(1/2))/(a*d - d*(a + b*tan(c + d*x))) - atan(((((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 - (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*1i - (((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 + (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*1i)/((32*(3*a*b^17 + 3*a^3*b^15 + 3*a^7*b^11 + 3*a^9*b^9))/d^5 + (((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 - (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + (((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 + (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)))*((3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i - atan(((((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 - (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*1i - (((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 + (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*1i)/((32*(3*a*b^17 + 3*a^3*b^15 + 3*a^7*b^11 + 3*a^9*b^9))/d^5 + (((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 - (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + (((((16*(40*a*b^11*d^4 + 40*a^3*b^9*d^4))/d^5 + (16*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(44*a*b^12*d^2 + 92*a^3*b^10*d^2 - 20*a^5*b^8*d^2))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (16*(50*a^2*b^13*d^2 + 22*a^4*b^11*d^2 - 28*a^6*b^9*d^2))/d^5)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*b^16 - a^2*b^14 + 66*a^4*b^12 - a^6*b^10 + 2*a^8*b^8))/d^4)*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)))*((3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i + (a^(1/2)*b*atan((a^(1/2)*b^17*(a + b*tan(c + d*x))^(1/2)*96i)/(96*a*b^17 + 2976*a^3*b^15 + 4896*a^5*b^13 + 2112*a^7*b^11 + 96*a^9*b^9) + (a^(5/2)*b^15*(a + b*tan(c + d*x))^(1/2)*2976i)/(96*a*b^17 + 2976*a^3*b^15 + 4896*a^5*b^13 + 2112*a^7*b^11 + 96*a^9*b^9) + (a^(9/2)*b^13*(a + b*tan(c + d*x))^(1/2)*4896i)/(96*a*b^17 + 2976*a^3*b^15 + 4896*a^5*b^13 + 2112*a^7*b^11 + 96*a^9*b^9) + (a^(13/2)*b^11*(a + b*tan(c + d*x))^(1/2)*2112i)/(96*a*b^17 + 2976*a^3*b^15 + 4896*a^5*b^13 + 2112*a^7*b^11 + 96*a^9*b^9) + (a^(17/2)*b^9*(a + b*tan(c + d*x))^(1/2)*96i)/(96*a*b^17 + 2976*a^3*b^15 + 4896*a^5*b^13 + 2112*a^7*b^11 + 96*a^9*b^9))*3i)/d","B"
518,1,4660,189,4.875647,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x))^(3/2),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}+\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}-\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{216\,a^8\,b^{10}+391\,a^6\,b^{12}+119\,a^4\,b^{14}-71\,a^2\,b^{16}-15\,b^{18}}{d^5}+\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}+\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}-\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}+\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}-\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{216\,a^8\,b^{10}+391\,a^6\,b^{12}+119\,a^4\,b^{14}-71\,a^2\,b^{16}-15\,b^{18}}{d^5}+\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}+\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\left(\left(\frac{768\,a^4\,b^8\,d^4+384\,a^2\,b^{10}\,d^4-384\,b^{12}\,d^4}{2\,d^5}-\frac{\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{192\,a^7\,b^8\,d^2-1344\,a^5\,b^{10}\,d^2-932\,a^3\,b^{12}\,d^2+604\,a\,b^{14}\,d^2}{2\,d^5}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\frac{\frac{5\,b^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{4}-\frac{3\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2+a^2\,d-2\,a\,d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{96\,a^7\,b^8\,d^2-672\,a^5\,b^{10}\,d^2-466\,a^3\,b^{12}\,d^2+302\,a\,b^{14}\,d^2}{d^5}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{384\,a^4\,b^8\,d^4+192\,a^2\,b^{10}\,d^4-192\,b^{12}\,d^4}{d^5}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,d^5}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)\,1{}\mathrm{i}}{\sqrt{a}\,d}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{96\,a^7\,b^8\,d^2-672\,a^5\,b^{10}\,d^2-466\,a^3\,b^{12}\,d^2+302\,a\,b^{14}\,d^2}{d^5}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{384\,a^4\,b^8\,d^4+192\,a^2\,b^{10}\,d^4-192\,b^{12}\,d^4}{d^5}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,d^5}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)\,1{}\mathrm{i}}{\sqrt{a}\,d}}{\frac{216\,a^8\,b^{10}+391\,a^6\,b^{12}+119\,a^4\,b^{14}-71\,a^2\,b^{16}-15\,b^{18}}{d^5}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{96\,a^7\,b^8\,d^2-672\,a^5\,b^{10}\,d^2-466\,a^3\,b^{12}\,d^2+302\,a\,b^{14}\,d^2}{d^5}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{384\,a^4\,b^8\,d^4+192\,a^2\,b^{10}\,d^4-192\,b^{12}\,d^4}{d^5}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,d^5}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^8\,b^8-304\,a^6\,b^{10}+553\,a^4\,b^{12}+26\,a^2\,b^{14}+41\,b^{16}\right)}{d^4}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{96\,a^7\,b^8\,d^2-672\,a^5\,b^{10}\,d^2-466\,a^3\,b^{12}\,d^2+302\,a\,b^{14}\,d^2}{d^5}-\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,a^5\,b^8\,d^2+1088\,a^3\,b^{10}\,d^2+668\,a\,b^{12}\,d^2\right)}{d^4}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(\frac{384\,a^4\,b^8\,d^4+192\,a^2\,b^{10}\,d^4-192\,b^{12}\,d^4}{d^5}+\frac{\left(a^2-\frac{3\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,d^5}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}\right)}{\sqrt{a}\,d}}\right)\,\left(a^2-\frac{3\,b^2}{8}\right)\,2{}\mathrm{i}}{\sqrt{a}\,d}","Not used",1,"- atan(((((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*1i - (((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*1i)/((119*a^4*b^14 - 71*a^2*b^16 - 15*b^18 + 391*a^6*b^12 + 216*a^8*b^10)/d^5 + (((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) + (((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)))*(-(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)/(4*d^2))^(1/2)*2i - atan(((((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*1i - (((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*1i)/((119*a^4*b^14 - 71*a^2*b^16 - 15*b^18 + 391*a^6*b^12 + 216*a^8*b^10)/d^5 + (((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) + (((((384*a^2*b^10*d^4 - 384*b^12*d^4 + 768*a^4*b^8*d^4)/(2*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - (604*a*b^14*d^2 - 932*a^3*b^12*d^2 - 1344*a^5*b^10*d^2 + 192*a^7*b^8*d^2)/(2*d^5))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4)*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)))*(-(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)/(4*d^2))^(1/2)*2i - ((5*b^2*(a + b*tan(c + d*x))^(3/2))/4 - (3*a*b^2*(a + b*tan(c + d*x))^(1/2))/4)/(d*(a + b*tan(c + d*x))^2 + a^2*d - 2*a*d*(a + b*tan(c + d*x))) - (atan((((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4 + ((a^2 - (3*b^2)/8)*((302*a*b^14*d^2 - 466*a^3*b^12*d^2 - 672*a^5*b^10*d^2 + 96*a^7*b^8*d^2)/d^5 + ((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4 - ((a^2 - (3*b^2)/8)*((192*a^2*b^10*d^4 - 192*b^12*d^4 + 384*a^4*b^8*d^4)/d^5 - ((a^2 - (3*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(a^(1/2)*d)))/(a^(1/2)*d)))/(a^(1/2)*d))*1i)/(a^(1/2)*d) + ((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4 - ((a^2 - (3*b^2)/8)*((302*a*b^14*d^2 - 466*a^3*b^12*d^2 - 672*a^5*b^10*d^2 + 96*a^7*b^8*d^2)/d^5 - ((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4 + ((a^2 - (3*b^2)/8)*((192*a^2*b^10*d^4 - 192*b^12*d^4 + 384*a^4*b^8*d^4)/d^5 + ((a^2 - (3*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(a^(1/2)*d)))/(a^(1/2)*d)))/(a^(1/2)*d))*1i)/(a^(1/2)*d))/((119*a^4*b^14 - 71*a^2*b^16 - 15*b^18 + 391*a^6*b^12 + 216*a^8*b^10)/d^5 - ((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4 + ((a^2 - (3*b^2)/8)*((302*a*b^14*d^2 - 466*a^3*b^12*d^2 - 672*a^5*b^10*d^2 + 96*a^7*b^8*d^2)/d^5 + ((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4 - ((a^2 - (3*b^2)/8)*((192*a^2*b^10*d^4 - 192*b^12*d^4 + 384*a^4*b^8*d^4)/d^5 - ((a^2 - (3*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(a^(1/2)*d)))/(a^(1/2)*d)))/(a^(1/2)*d)))/(a^(1/2)*d) + ((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(41*b^16 + 26*a^2*b^14 + 553*a^4*b^12 - 304*a^6*b^10 + 96*a^8*b^8))/d^4 - ((a^2 - (3*b^2)/8)*((302*a*b^14*d^2 - 466*a^3*b^12*d^2 - 672*a^5*b^10*d^2 + 96*a^7*b^8*d^2)/d^5 - ((a^2 - (3*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(668*a*b^12*d^2 + 1088*a^3*b^10*d^2 - 576*a^5*b^8*d^2))/d^4 + ((a^2 - (3*b^2)/8)*((192*a^2*b^10*d^4 - 192*b^12*d^4 + 384*a^4*b^8*d^4)/d^5 + ((a^2 - (3*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(a^(1/2)*d)))/(a^(1/2)*d)))/(a^(1/2)*d)))/(a^(1/2)*d)))*(a^2 - (3*b^2)/8)*2i)/(a^(1/2)*d)","B"
519,1,2384,211,47.856824,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x))^(5/2),x)","{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}\,\left(\frac{2\,a\,\left(\frac{2\,a^2}{b^2\,d}-\frac{2\,\left(a^2+b^2\right)}{b^2\,d}\right)}{3}-\frac{2\,a^3}{3\,b^2\,d}+\frac{2\,a\,\left(a^2+b^2\right)}{3\,b^2\,d}\right)+\left(\frac{2\,a^2}{5\,b^2\,d}-\frac{2\,\left(a^2+b^2\right)}{5\,b^2\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}-\left(\left(\frac{2\,a^2}{b^2\,d}-\frac{2\,\left(a^2+b^2\right)}{b^2\,d}\right)\,\left(a^2+b^2\right)-2\,a\,\left(2\,a\,\left(\frac{2\,a^2}{b^2\,d}-\frac{2\,\left(a^2+b^2\right)}{b^2\,d}\right)-\frac{2\,a^3}{b^2\,d}+\frac{2\,a\,\left(a^2+b^2\right)}{b^2\,d}\right)\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{9/2}}{9\,b^2\,d}-\frac{2\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^2\,d}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-a^9\,b^2+6\,a^5\,b^6+8\,a^3\,b^8+3\,a\,b^{10}\right)}{d^3}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-a^9\,b^2+6\,a^5\,b^6+8\,a^3\,b^8+3\,a\,b^{10}\right)}{d^3}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"(a + b*tan(c + d*x))^(3/2)*((2*a*((2*a^2)/(b^2*d) - (2*(a^2 + b^2))/(b^2*d)))/3 - (2*a^3)/(3*b^2*d) + (2*a*(a^2 + b^2))/(3*b^2*d)) - atan(((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(3*a*b^10 + 8*a^3*b^8 + 6*a^5*b^6 - a^9*b^2))/d^3))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i - atan(((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(3*a*b^10 + 8*a^3*b^8 + 6*a^5*b^6 - a^9*b^2))/d^3))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i + ((2*a^2)/(5*b^2*d) - (2*(a^2 + b^2))/(5*b^2*d))*(a + b*tan(c + d*x))^(5/2) - (((2*a^2)/(b^2*d) - (2*(a^2 + b^2))/(b^2*d))*(a^2 + b^2) - 2*a*(2*a*((2*a^2)/(b^2*d) - (2*(a^2 + b^2))/(b^2*d)) - (2*a^3)/(b^2*d) + (2*a*(a^2 + b^2))/(b^2*d)))*(a + b*tan(c + d*x))^(1/2) + (2*(a + b*tan(c + d*x))^(9/2))/(9*b^2*d) - (2*a*(a + b*tan(c + d*x))^(7/2))/(7*b^2*d)","B"
520,1,2165,158,24.999449,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x))^(5/2),x)","\left(\frac{2\,a^2}{3\,b\,d}-\frac{2\,\left(a^2+b^2\right)}{3\,b\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b\,d}+2\,a\,\left(\frac{2\,a^2}{b\,d}-\frac{2\,\left(a^2+b^2\right)}{b\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(3\,a^8\,b^3+8\,a^6\,b^5+6\,a^4\,b^7-b^{11}\right)}{d^3}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(3\,a^8\,b^3+8\,a^6\,b^5+6\,a^4\,b^7-b^{11}\right)}{d^3}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan(((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(6*a^4*b^7 - b^11 + 8*a^6*b^5 + 3*a^8*b^3))/d^3 + (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i + atan(((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(6*a^4*b^7 - b^11 + 8*a^6*b^5 + 3*a^8*b^3))/d^3 + (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i + ((2*a^2)/(3*b*d) - (2*(a^2 + b^2))/(3*b*d))*(a + b*tan(c + d*x))^(3/2) + (2*(a + b*tan(c + d*x))^(7/2))/(7*b*d) + 2*a*((2*a^2)/(b*d) - (2*(a^2 + b^2))/(b*d))*(a + b*tan(c + d*x))^(1/2)","B"
521,1,2191,158,11.834481,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x))^(5/2),x)","\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,d}-\left(\frac{2\,\left(a^2+b^2\right)}{d}-\frac{4\,a^2}{d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{2\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-a^9\,b^2+6\,a^5\,b^6+8\,a^3\,b^8+3\,a\,b^{10}\right)}{d^3}}\right)\,\sqrt{\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(4\,b^6\,d^2-4\,a^4\,b^2\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\left(-a^9\,b^2+6\,a^5\,b^6+8\,a^3\,b^8+3\,a\,b^{10}\right)}{d^3}}\right)\,\sqrt{\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan(((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(3*a*b^10 + 8*a^3*b^8 + 6*a^5*b^6 - a^9*b^2))/d^3))*((5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i + atan(((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (((8*(4*b^6*d^2 - 4*a^4*b^2*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(3*a*b^10 + 8*a^3*b^8 + 6*a^5*b^6 - a^9*b^2))/d^3))*((5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(5/2))/(5*d) - ((2*(a^2 + b^2))/d - (4*a^2)/d)*(a + b*tan(c + d*x))^(1/2) + (2*a*(a + b*tan(c + d*x))^(3/2))/(3*d)","B"
522,1,2100,134,6.827814,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2),x)","\frac{2\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{4\,a\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(3\,a^8\,b^3+8\,a^6\,b^5+6\,a^4\,b^7-b^{11}\right)}{d^3}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(3\,a^8\,b^3+8\,a^6\,b^5+6\,a^4\,b^7-b^{11}\right)}{d^3}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{8\,\left(8\,a^3\,b^3\,d^2+8\,a\,b^5\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^2+15\,a^4\,b^4-15\,a^2\,b^6+b^8\right)}{d^2}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"(2*b*(a + b*tan(c + d*x))^(3/2))/(3*d) - atan(((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(6*a^4*b^7 - b^11 + 8*a^6*b^5 + 3*a^8*b^3))/d^3 + (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)))*(-(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i - atan(((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i - (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*1i)/((((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(6*a^4*b^7 - b^11 + 8*a^6*b^5 + 3*a^8*b^3))/d^3 + (((8*(8*a*b^5*d^2 + 8*a^3*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^8 - 15*a^2*b^6 + 15*a^4*b^4 - a^6*b^2))/d^2)*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)))*(-(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2)/(4*d^2))^(1/2)*2i + (4*a*b*(a + b*tan(c + d*x))^(1/2))/d","B"
523,1,3333,138,10.737680,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x))^(5/2),x)","\ln\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{128\,a\,b^8\,\left(3\,a^4+4\,a^2\,b^2+b^4\right)}{d}-128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}+\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-51\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{96\,a^2\,b^8\,\left(a^8-24\,a^6\,b^2-10\,a^4\,b^4+16\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}-\frac{32\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^{12}-24\,a^{10}\,b^2+45\,a^8\,b^4+18\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}{d^4}\right)}{2}+\frac{32\,a^3\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(6\,a^4+3\,a^2\,b^2+b^4\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}+\frac{a^5}{4\,d^2}+\frac{5\,a\,b^4}{4\,d^2}-\frac{5\,a^3\,b^2}{2\,d^2}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{128\,a\,b^8\,\left(3\,a^4+4\,a^2\,b^2+b^4\right)}{d}+128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}-\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-51\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{96\,a^2\,b^8\,\left(a^8-24\,a^6\,b^2-10\,a^4\,b^4+16\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}+\frac{32\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^{12}-24\,a^{10}\,b^2+45\,a^8\,b^4+18\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}{d^4}\right)}{2}+\frac{32\,a^3\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(6\,a^4+3\,a^2\,b^2+b^4\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{128\,a\,b^8\,\left(3\,a^4+4\,a^2\,b^2+b^4\right)}{d}+128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}-\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-51\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{96\,a^2\,b^8\,\left(a^8-24\,a^6\,b^2-10\,a^4\,b^4+16\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}+\frac{32\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^{12}-24\,a^{10}\,b^2+45\,a^8\,b^4+18\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}{d^4}\right)}{2}+\frac{32\,a^3\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(6\,a^4+3\,a^2\,b^2+b^4\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{128\,a\,b^8\,\left(3\,a^4+4\,a^2\,b^2+b^4\right)}{d}-128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}+\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-51\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{96\,a^2\,b^8\,\left(a^8-24\,a^6\,b^2-10\,a^4\,b^4+16\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}-\frac{32\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^{12}-24\,a^{10}\,b^2+45\,a^8\,b^4+18\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}{d^4}\right)}{2}+\frac{32\,a^3\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(6\,a^4+3\,a^2\,b^2+b^4\right)}{d^5}\right)\,\sqrt{\frac{a^5}{4\,d^2}-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}+\frac{5\,a\,b^4}{4\,d^2}-\frac{5\,a^3\,b^2}{2\,d^2}}+\frac{2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{\mathrm{atan}\left(\frac{b^{20}\,\sqrt{a^5}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,64{}\mathrm{i}}{576\,a^{15}\,b^8+6016\,a^{13}\,b^{10}+3520\,a^{11}\,b^{12}-1280\,a^9\,b^{14}+960\,a^7\,b^{16}+384\,a^5\,b^{18}+64\,a^3\,b^{20}}+\frac{a^2\,b^{18}\,\sqrt{a^5}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,384{}\mathrm{i}}{576\,a^{15}\,b^8+6016\,a^{13}\,b^{10}+3520\,a^{11}\,b^{12}-1280\,a^9\,b^{14}+960\,a^7\,b^{16}+384\,a^5\,b^{18}+64\,a^3\,b^{20}}+\frac{a^4\,b^{16}\,\sqrt{a^5}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,960{}\mathrm{i}}{576\,a^{15}\,b^8+6016\,a^{13}\,b^{10}+3520\,a^{11}\,b^{12}-1280\,a^9\,b^{14}+960\,a^7\,b^{16}+384\,a^5\,b^{18}+64\,a^3\,b^{20}}-\frac{a^6\,b^{14}\,\sqrt{a^5}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1280{}\mathrm{i}}{576\,a^{15}\,b^8+6016\,a^{13}\,b^{10}+3520\,a^{11}\,b^{12}-1280\,a^9\,b^{14}+960\,a^7\,b^{16}+384\,a^5\,b^{18}+64\,a^3\,b^{20}}+\frac{a^8\,b^{12}\,\sqrt{a^5}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,3520{}\mathrm{i}}{576\,a^{15}\,b^8+6016\,a^{13}\,b^{10}+3520\,a^{11}\,b^{12}-1280\,a^9\,b^{14}+960\,a^7\,b^{16}+384\,a^5\,b^{18}+64\,a^3\,b^{20}}+\frac{a^{10}\,b^{10}\,\sqrt{a^5}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,6016{}\mathrm{i}}{576\,a^{15}\,b^8+6016\,a^{13}\,b^{10}+3520\,a^{11}\,b^{12}-1280\,a^9\,b^{14}+960\,a^7\,b^{16}+384\,a^5\,b^{18}+64\,a^3\,b^{20}}+\frac{a^{12}\,b^8\,\sqrt{a^5}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,576{}\mathrm{i}}{576\,a^{15}\,b^8+6016\,a^{13}\,b^{10}+3520\,a^{11}\,b^{12}-1280\,a^9\,b^{14}+960\,a^7\,b^{16}+384\,a^5\,b^{18}+64\,a^3\,b^{20}}\right)\,\sqrt{a^5}\,2{}\mathrm{i}}{d}","Not used",1,"log(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*((128*a*b^8*(3*a^4 + b^4 + 4*a^2*b^2))/d - 128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 + (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(9*a^6 + 19*b^6 - 5*a^2*b^4 - 51*a^4*b^2))/d^2))/2 - (96*a^2*b^8*(a^8 + b^8 + 16*a^2*b^6 - 10*a^4*b^4 - 24*a^6*b^2))/d^3))/2 - (32*b^8*(a + b*tan(c + d*x))^(1/2)*(3*a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 18*a^6*b^6 + 45*a^8*b^4 - 24*a^10*b^2))/d^4))/2 + (32*a^3*b^10*(a^2 + b^2)^3*(6*a^4 + b^4 + 3*a^2*b^2))/d^5)*((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4) + a^5/(4*d^2) + (5*a*b^4)/(4*d^2) - (5*a^3*b^2)/(2*d^2))^(1/2) - log(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*((128*a*b^8*(3*a^4 + b^4 + 4*a^2*b^2))/d + 128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 - (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(9*a^6 + 19*b^6 - 5*a^2*b^4 - 51*a^4*b^2))/d^2))/2 - (96*a^2*b^8*(a^8 + b^8 + 16*a^2*b^6 - 10*a^4*b^4 - 24*a^6*b^2))/d^3))/2 + (32*b^8*(a + b*tan(c + d*x))^(1/2)*(3*a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 18*a^6*b^6 + 45*a^8*b^4 - 24*a^10*b^2))/d^4))/2 + (32*a^3*b^10*(a^2 + b^2)^3*(6*a^4 + b^4 + 3*a^2*b^2))/d^5)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*d^4))^(1/2) - log(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*((128*a*b^8*(3*a^4 + b^4 + 4*a^2*b^2))/d + 128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 - (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(9*a^6 + 19*b^6 - 5*a^2*b^4 - 51*a^4*b^2))/d^2))/2 - (96*a^2*b^8*(a^8 + b^8 + 16*a^2*b^6 - 10*a^4*b^4 - 24*a^6*b^2))/d^3))/2 + (32*b^8*(a + b*tan(c + d*x))^(1/2)*(3*a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 18*a^6*b^6 + 45*a^8*b^4 - 24*a^10*b^2))/d^4))/2 + (32*a^3*b^10*(a^2 + b^2)^3*(6*a^4 + b^4 + 3*a^2*b^2))/d^5)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*d^4))^(1/2) + log(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*((128*a*b^8*(3*a^4 + b^4 + 4*a^2*b^2))/d - 128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 + (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(9*a^6 + 19*b^6 - 5*a^2*b^4 - 51*a^4*b^2))/d^2))/2 - (96*a^2*b^8*(a^8 + b^8 + 16*a^2*b^6 - 10*a^4*b^4 - 24*a^6*b^2))/d^3))/2 - (32*b^8*(a + b*tan(c + d*x))^(1/2)*(3*a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 18*a^6*b^6 + 45*a^8*b^4 - 24*a^10*b^2))/d^4))/2 + (32*a^3*b^10*(a^2 + b^2)^3*(6*a^4 + b^4 + 3*a^2*b^2))/d^5)*(a^5/(4*d^2) - (20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4) + (5*a*b^4)/(4*d^2) - (5*a^3*b^2)/(2*d^2))^(1/2) + (2*b^2*(a + b*tan(c + d*x))^(1/2))/d + (atan((b^20*(a^5)^(1/2)*(a + b*tan(c + d*x))^(1/2)*64i)/(64*a^3*b^20 + 384*a^5*b^18 + 960*a^7*b^16 - 1280*a^9*b^14 + 3520*a^11*b^12 + 6016*a^13*b^10 + 576*a^15*b^8) + (a^2*b^18*(a^5)^(1/2)*(a + b*tan(c + d*x))^(1/2)*384i)/(64*a^3*b^20 + 384*a^5*b^18 + 960*a^7*b^16 - 1280*a^9*b^14 + 3520*a^11*b^12 + 6016*a^13*b^10 + 576*a^15*b^8) + (a^4*b^16*(a^5)^(1/2)*(a + b*tan(c + d*x))^(1/2)*960i)/(64*a^3*b^20 + 384*a^5*b^18 + 960*a^7*b^16 - 1280*a^9*b^14 + 3520*a^11*b^12 + 6016*a^13*b^10 + 576*a^15*b^8) - (a^6*b^14*(a^5)^(1/2)*(a + b*tan(c + d*x))^(1/2)*1280i)/(64*a^3*b^20 + 384*a^5*b^18 + 960*a^7*b^16 - 1280*a^9*b^14 + 3520*a^11*b^12 + 6016*a^13*b^10 + 576*a^15*b^8) + (a^8*b^12*(a^5)^(1/2)*(a + b*tan(c + d*x))^(1/2)*3520i)/(64*a^3*b^20 + 384*a^5*b^18 + 960*a^7*b^16 - 1280*a^9*b^14 + 3520*a^11*b^12 + 6016*a^13*b^10 + 576*a^15*b^8) + (a^10*b^10*(a^5)^(1/2)*(a + b*tan(c + d*x))^(1/2)*6016i)/(64*a^3*b^20 + 384*a^5*b^18 + 960*a^7*b^16 - 1280*a^9*b^14 + 3520*a^11*b^12 + 6016*a^13*b^10 + 576*a^15*b^8) + (a^12*b^8*(a^5)^(1/2)*(a + b*tan(c + d*x))^(1/2)*576i)/(64*a^3*b^20 + 384*a^5*b^18 + 960*a^7*b^16 - 1280*a^9*b^14 + 3520*a^11*b^12 + 6016*a^13*b^10 + 576*a^15*b^8))*(a^5)^(1/2)*2i)/d","B"
524,1,3366,151,10.359989,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x))^(5/2),x)","\ln\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{1024\,a^2\,b^9\,\left(a^2+b^2\right)}{d}-128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}-\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^6-76\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{32\,a\,b^9\,\left(-23\,a^8+122\,a^6\,b^2+44\,a^4\,b^4-100\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}-\frac{16\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{12}-13\,a^{10}\,b^2+405\,a^8\,b^4-335\,a^6\,b^6+55\,a^4\,b^8+12\,a^2\,b^{10}+2\,b^{12}\right)}{d^4}\right)}{2}+\frac{40\,a^2\,b^9\,{\left(a^2+b^2\right)}^3\,\left(2\,a^6-9\,a^4\,b^2+11\,a^2\,b^4+2\,b^6\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}-\frac{a^5}{4\,d^2}-\frac{5\,a\,b^4}{4\,d^2}+\frac{5\,a^3\,b^2}{2\,d^2}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{1024\,a^2\,b^9\,\left(a^2+b^2\right)}{d}+128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}+\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^6-76\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{32\,a\,b^9\,\left(-23\,a^8+122\,a^6\,b^2+44\,a^4\,b^4-100\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}+\frac{16\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{12}-13\,a^{10}\,b^2+405\,a^8\,b^4-335\,a^6\,b^6+55\,a^4\,b^8+12\,a^2\,b^{10}+2\,b^{12}\right)}{d^4}\right)}{2}+\frac{40\,a^2\,b^9\,{\left(a^2+b^2\right)}^3\,\left(2\,a^6-9\,a^4\,b^2+11\,a^2\,b^4+2\,b^6\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{1024\,a^2\,b^9\,\left(a^2+b^2\right)}{d}+128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}+\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^6-76\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{32\,a\,b^9\,\left(-23\,a^8+122\,a^6\,b^2+44\,a^4\,b^4-100\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}+\frac{16\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{12}-13\,a^{10}\,b^2+405\,a^8\,b^4-335\,a^6\,b^6+55\,a^4\,b^8+12\,a^2\,b^{10}+2\,b^{12}\right)}{d^4}\right)}{2}+\frac{40\,a^2\,b^9\,{\left(a^2+b^2\right)}^3\,\left(2\,a^6-9\,a^4\,b^2+11\,a^2\,b^4+2\,b^6\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{1024\,a^2\,b^9\,\left(a^2+b^2\right)}{d}-128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}-\frac{64\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^6-76\,a^4\,b^2-5\,a^2\,b^4+19\,b^6\right)}{d^2}\right)}{2}-\frac{32\,a\,b^9\,\left(-23\,a^8+122\,a^6\,b^2+44\,a^4\,b^4-100\,a^2\,b^6+b^8\right)}{d^3}\right)}{2}-\frac{16\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{12}-13\,a^{10}\,b^2+405\,a^8\,b^4-335\,a^6\,b^6+55\,a^4\,b^8+12\,a^2\,b^{10}+2\,b^{12}\right)}{d^4}\right)}{2}+\frac{40\,a^2\,b^9\,{\left(a^2+b^2\right)}^3\,\left(2\,a^6-9\,a^4\,b^2+11\,a^2\,b^4+2\,b^6\right)}{d^5}\right)\,\sqrt{\frac{5\,a^3\,b^2}{2\,d^2}-\frac{a^5}{4\,d^2}-\frac{5\,a\,b^4}{4\,d^2}-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}}+\frac{a^2\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a\,d-d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}+\frac{b\,\mathrm{atan}\left(\frac{b^{21}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,160{}\mathrm{i}}{160\,a^{14}\,b^9+8960\,a^{12}\,b^{11}+30400\,a^{10}\,b^{13}+63200\,a^8\,b^{15}+42400\,a^6\,b^{17}+960\,a^4\,b^{19}+160\,a^2\,b^{21}}+\frac{a^2\,b^{19}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,960{}\mathrm{i}}{160\,a^{14}\,b^9+8960\,a^{12}\,b^{11}+30400\,a^{10}\,b^{13}+63200\,a^8\,b^{15}+42400\,a^6\,b^{17}+960\,a^4\,b^{19}+160\,a^2\,b^{21}}+\frac{a^4\,b^{17}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,42400{}\mathrm{i}}{160\,a^{14}\,b^9+8960\,a^{12}\,b^{11}+30400\,a^{10}\,b^{13}+63200\,a^8\,b^{15}+42400\,a^6\,b^{17}+960\,a^4\,b^{19}+160\,a^2\,b^{21}}+\frac{a^6\,b^{15}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,63200{}\mathrm{i}}{160\,a^{14}\,b^9+8960\,a^{12}\,b^{11}+30400\,a^{10}\,b^{13}+63200\,a^8\,b^{15}+42400\,a^6\,b^{17}+960\,a^4\,b^{19}+160\,a^2\,b^{21}}+\frac{a^8\,b^{13}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,30400{}\mathrm{i}}{160\,a^{14}\,b^9+8960\,a^{12}\,b^{11}+30400\,a^{10}\,b^{13}+63200\,a^8\,b^{15}+42400\,a^6\,b^{17}+960\,a^4\,b^{19}+160\,a^2\,b^{21}}+\frac{a^{10}\,b^{11}\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,8960{}\mathrm{i}}{160\,a^{14}\,b^9+8960\,a^{12}\,b^{11}+30400\,a^{10}\,b^{13}+63200\,a^8\,b^{15}+42400\,a^6\,b^{17}+960\,a^4\,b^{19}+160\,a^2\,b^{21}}+\frac{a^{12}\,b^9\,\sqrt{a^3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,160{}\mathrm{i}}{160\,a^{14}\,b^9+8960\,a^{12}\,b^{11}+30400\,a^{10}\,b^{13}+63200\,a^8\,b^{15}+42400\,a^6\,b^{17}+960\,a^4\,b^{19}+160\,a^2\,b^{21}}\right)\,\sqrt{a^3}\,5{}\mathrm{i}}{d}","Not used",1,"log(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*((1024*a^2*b^9*(a^2 + b^2))/d - 128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 - (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(5*a^6 + 19*b^6 - 5*a^2*b^4 - 76*a^4*b^2))/d^2))/2 - (32*a*b^9*(b^8 - 23*a^8 - 100*a^2*b^6 + 44*a^4*b^4 + 122*a^6*b^2))/d^3))/2 - (16*b^8*(a + b*tan(c + d*x))^(1/2)*(2*a^12 + 2*b^12 + 12*a^2*b^10 + 55*a^4*b^8 - 335*a^6*b^6 + 405*a^8*b^4 - 13*a^10*b^2))/d^4))/2 + (40*a^2*b^9*(a^2 + b^2)^3*(2*a^6 + 2*b^6 + 11*a^2*b^4 - 9*a^4*b^2))/d^5)*((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4) - a^5/(4*d^2) - (5*a*b^4)/(4*d^2) + (5*a^3*b^2)/(2*d^2))^(1/2) - log(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*((1024*a^2*b^9*(a^2 + b^2))/d + 128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 + (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(5*a^6 + 19*b^6 - 5*a^2*b^4 - 76*a^4*b^2))/d^2))/2 - (32*a*b^9*(b^8 - 23*a^8 - 100*a^2*b^6 + 44*a^4*b^4 + 122*a^6*b^2))/d^3))/2 + (16*b^8*(a + b*tan(c + d*x))^(1/2)*(2*a^12 + 2*b^12 + 12*a^2*b^10 + 55*a^4*b^8 - 335*a^6*b^6 + 405*a^8*b^4 - 13*a^10*b^2))/d^4))/2 + (40*a^2*b^9*(a^2 + b^2)^3*(2*a^6 + 2*b^6 + 11*a^2*b^4 - 9*a^4*b^2))/d^5)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*d^4))^(1/2) - log(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*((1024*a^2*b^9*(a^2 + b^2))/d + 128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 + (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(5*a^6 + 19*b^6 - 5*a^2*b^4 - 76*a^4*b^2))/d^2))/2 - (32*a*b^9*(b^8 - 23*a^8 - 100*a^2*b^6 + 44*a^4*b^4 + 122*a^6*b^2))/d^3))/2 + (16*b^8*(a + b*tan(c + d*x))^(1/2)*(2*a^12 + 2*b^12 + 12*a^2*b^10 + 55*a^4*b^8 - 335*a^6*b^6 + 405*a^8*b^4 - 13*a^10*b^2))/d^4))/2 + (40*a^2*b^9*(a^2 + b^2)^3*(2*a^6 + 2*b^6 + 11*a^2*b^4 - 9*a^4*b^2))/d^5)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*d^4))^(1/2) + log(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*((1024*a^2*b^9*(a^2 + b^2))/d - 128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 - (64*a*b^8*(a + b*tan(c + d*x))^(1/2)*(5*a^6 + 19*b^6 - 5*a^2*b^4 - 76*a^4*b^2))/d^2))/2 - (32*a*b^9*(b^8 - 23*a^8 - 100*a^2*b^6 + 44*a^4*b^4 + 122*a^6*b^2))/d^3))/2 - (16*b^8*(a + b*tan(c + d*x))^(1/2)*(2*a^12 + 2*b^12 + 12*a^2*b^10 + 55*a^4*b^8 - 335*a^6*b^6 + 405*a^8*b^4 - 13*a^10*b^2))/d^4))/2 + (40*a^2*b^9*(a^2 + b^2)^3*(2*a^6 + 2*b^6 + 11*a^2*b^4 - 9*a^4*b^2))/d^5)*((5*a^3*b^2)/(2*d^2) - a^5/(4*d^2) - (5*a*b^4)/(4*d^2) - (20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4))^(1/2) + (b*atan((b^21*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2)*160i)/(160*a^2*b^21 + 960*a^4*b^19 + 42400*a^6*b^17 + 63200*a^8*b^15 + 30400*a^10*b^13 + 8960*a^12*b^11 + 160*a^14*b^9) + (a^2*b^19*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2)*960i)/(160*a^2*b^21 + 960*a^4*b^19 + 42400*a^6*b^17 + 63200*a^8*b^15 + 30400*a^10*b^13 + 8960*a^12*b^11 + 160*a^14*b^9) + (a^4*b^17*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2)*42400i)/(160*a^2*b^21 + 960*a^4*b^19 + 42400*a^6*b^17 + 63200*a^8*b^15 + 30400*a^10*b^13 + 8960*a^12*b^11 + 160*a^14*b^9) + (a^6*b^15*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2)*63200i)/(160*a^2*b^21 + 960*a^4*b^19 + 42400*a^6*b^17 + 63200*a^8*b^15 + 30400*a^10*b^13 + 8960*a^12*b^11 + 160*a^14*b^9) + (a^8*b^13*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2)*30400i)/(160*a^2*b^21 + 960*a^4*b^19 + 42400*a^6*b^17 + 63200*a^8*b^15 + 30400*a^10*b^13 + 8960*a^12*b^11 + 160*a^14*b^9) + (a^10*b^11*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2)*8960i)/(160*a^2*b^21 + 960*a^4*b^19 + 42400*a^6*b^17 + 63200*a^8*b^15 + 30400*a^10*b^13 + 8960*a^12*b^11 + 160*a^14*b^9) + (a^12*b^9*(a^3)^(1/2)*(a + b*tan(c + d*x))^(1/2)*160i)/(160*a^2*b^21 + 960*a^4*b^19 + 42400*a^6*b^17 + 63200*a^8*b^15 + 30400*a^10*b^13 + 8960*a^12*b^11 + 160*a^14*b^9))*(a^3)^(1/2)*5i)/d + (a^2*b*(a + b*tan(c + d*x))^(1/2))/(a*d - d*(a + b*tan(c + d*x)))","B"
525,1,4304,192,10.777348,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x))^(5/2),x)","\ln\left(-\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\frac{64\,a\,b^8\,\left(-6\,a^4+7\,a^2\,b^2+13\,b^4\right)}{d}\right)}{2}-\frac{4\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(144\,a^6-1056\,a^4\,b^2+145\,a^2\,b^4+304\,b^6\right)}{d^2}\right)}{2}-\frac{6\,a^2\,b^8\,\left(16\,a^8-384\,a^6\,b^2+485\,a^4\,b^4+576\,a^2\,b^6-309\,b^8\right)}{d^3}\right)}{2}+\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}-1008\,a^{10}\,b^2+5265\,a^8\,b^4-6399\,a^6\,b^6+4095\,a^4\,b^8-33\,a^2\,b^{10}+32\,b^{12}\right)}{d^4}\right)}{2}-\frac{a\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(504\,a^6-1113\,a^4\,b^2+379\,a^2\,b^4-120\,b^6\right)}{2\,d^5}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}+\frac{a^5}{4\,d^2}+\frac{5\,a\,b^4}{4\,d^2}-\frac{5\,a^3\,b^2}{2\,d^2}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{64\,a\,b^8\,\left(-6\,a^4+7\,a^2\,b^2+13\,b^4\right)}{d}\right)}{2}-\frac{4\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(144\,a^6-1056\,a^4\,b^2+145\,a^2\,b^4+304\,b^6\right)}{d^2}\right)}{2}+\frac{6\,a^2\,b^8\,\left(16\,a^8-384\,a^6\,b^2+485\,a^4\,b^4+576\,a^2\,b^6-309\,b^8\right)}{d^3}\right)}{2}+\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}-1008\,a^{10}\,b^2+5265\,a^8\,b^4-6399\,a^6\,b^6+4095\,a^4\,b^8-33\,a^2\,b^{10}+32\,b^{12}\right)}{d^4}\right)}{2}-\frac{a\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(504\,a^6-1113\,a^4\,b^2+379\,a^2\,b^4-120\,b^6\right)}{2\,d^5}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{64\,a\,b^8\,\left(-6\,a^4+7\,a^2\,b^2+13\,b^4\right)}{d}\right)}{2}-\frac{4\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(144\,a^6-1056\,a^4\,b^2+145\,a^2\,b^4+304\,b^6\right)}{d^2}\right)}{2}+\frac{6\,a^2\,b^8\,\left(16\,a^8-384\,a^6\,b^2+485\,a^4\,b^4+576\,a^2\,b^6-309\,b^8\right)}{d^3}\right)}{2}+\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}-1008\,a^{10}\,b^2+5265\,a^8\,b^4-6399\,a^6\,b^6+4095\,a^4\,b^8-33\,a^2\,b^{10}+32\,b^{12}\right)}{d^4}\right)}{2}-\frac{a\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(504\,a^6-1113\,a^4\,b^2+379\,a^2\,b^4-120\,b^6\right)}{2\,d^5}\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,d^4}}+\ln\left(-\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\frac{64\,a\,b^8\,\left(-6\,a^4+7\,a^2\,b^2+13\,b^4\right)}{d}\right)}{2}-\frac{4\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(144\,a^6-1056\,a^4\,b^2+145\,a^2\,b^4+304\,b^6\right)}{d^2}\right)}{2}-\frac{6\,a^2\,b^8\,\left(16\,a^8-384\,a^6\,b^2+485\,a^4\,b^4+576\,a^2\,b^6-309\,b^8\right)}{d^3}\right)}{2}+\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}-1008\,a^{10}\,b^2+5265\,a^8\,b^4-6399\,a^6\,b^6+4095\,a^4\,b^8-33\,a^2\,b^{10}+32\,b^{12}\right)}{d^4}\right)}{2}-\frac{a\,b^{10}\,{\left(a^2+b^2\right)}^3\,\left(504\,a^6-1113\,a^4\,b^2+379\,a^2\,b^4-120\,b^6\right)}{2\,d^5}\right)\,\sqrt{\frac{a^5}{4\,d^2}-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}+\frac{5\,a\,b^4}{4\,d^2}-\frac{5\,a^3\,b^2}{2\,d^2}}+\frac{\frac{7\,a^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4}-\frac{9\,a\,b^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{4}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2+a^2\,d-2\,a\,d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}+\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}\,b^8-1008\,a^{10}\,b^{10}+5265\,a^8\,b^{12}-6399\,a^6\,b^{14}+4095\,a^4\,b^{16}-33\,a^2\,b^{18}+32\,b^{20}\right)}{d^4}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{96\,a^{10}\,b^8\,d^2-2304\,a^8\,b^{10}\,d^2+2910\,a^6\,b^{12}\,d^2+3456\,a^4\,b^{14}\,d^2-1854\,a^2\,b^{16}\,d^2}{d^5}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^7\,b^8\,d^2-4224\,a^5\,b^{10}\,d^2+580\,a^3\,b^{12}\,d^2+1216\,a\,b^{14}\,d^2\right)}{d^4}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{-384\,a^5\,b^8\,d^4+448\,a^3\,b^{10}\,d^4+832\,a\,b^{12}\,d^4}{d^5}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{d}\right)}{d}\right)}{d}\right)\,1{}\mathrm{i}}{d}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}\,b^8-1008\,a^{10}\,b^{10}+5265\,a^8\,b^{12}-6399\,a^6\,b^{14}+4095\,a^4\,b^{16}-33\,a^2\,b^{18}+32\,b^{20}\right)}{d^4}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{96\,a^{10}\,b^8\,d^2-2304\,a^8\,b^{10}\,d^2+2910\,a^6\,b^{12}\,d^2+3456\,a^4\,b^{14}\,d^2-1854\,a^2\,b^{16}\,d^2}{d^5}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^7\,b^8\,d^2-4224\,a^5\,b^{10}\,d^2+580\,a^3\,b^{12}\,d^2+1216\,a\,b^{14}\,d^2\right)}{d^4}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{-384\,a^5\,b^8\,d^4+448\,a^3\,b^{10}\,d^4+832\,a\,b^{12}\,d^4}{d^5}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{d}\right)}{d}\right)}{d}\right)\,1{}\mathrm{i}}{d}}{\frac{-504\,a^{13}\,b^{10}-399\,a^{11}\,b^{12}+1448\,a^9\,b^{14}+1818\,a^7\,b^{16}+336\,a^5\,b^{18}-19\,a^3\,b^{20}+120\,a\,b^{22}}{d^5}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}\,b^8-1008\,a^{10}\,b^{10}+5265\,a^8\,b^{12}-6399\,a^6\,b^{14}+4095\,a^4\,b^{16}-33\,a^2\,b^{18}+32\,b^{20}\right)}{d^4}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{96\,a^{10}\,b^8\,d^2-2304\,a^8\,b^{10}\,d^2+2910\,a^6\,b^{12}\,d^2+3456\,a^4\,b^{14}\,d^2-1854\,a^2\,b^{16}\,d^2}{d^5}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^7\,b^8\,d^2-4224\,a^5\,b^{10}\,d^2+580\,a^3\,b^{12}\,d^2+1216\,a\,b^{14}\,d^2\right)}{d^4}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{-384\,a^5\,b^8\,d^4+448\,a^3\,b^{10}\,d^4+832\,a\,b^{12}\,d^4}{d^5}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{d}\right)}{d}\right)}{d}\right)}{d}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{12}\,b^8-1008\,a^{10}\,b^{10}+5265\,a^8\,b^{12}-6399\,a^6\,b^{14}+4095\,a^4\,b^{16}-33\,a^2\,b^{18}+32\,b^{20}\right)}{d^4}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{96\,a^{10}\,b^8\,d^2-2304\,a^8\,b^{10}\,d^2+2910\,a^6\,b^{12}\,d^2+3456\,a^4\,b^{14}\,d^2-1854\,a^2\,b^{16}\,d^2}{d^5}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^7\,b^8\,d^2-4224\,a^5\,b^{10}\,d^2+580\,a^3\,b^{12}\,d^2+1216\,a\,b^{14}\,d^2\right)}{d^4}+\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(\frac{-384\,a^5\,b^8\,d^4+448\,a^3\,b^{10}\,d^4+832\,a\,b^{12}\,d^4}{d^5}-\frac{\sqrt{a}\,\left(a^2-\frac{15\,b^2}{8}\right)\,\left(768\,a^2\,b^8\,d^4+512\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{d}\right)}{d}\right)}{d}\right)}{d}}\right)\,\left(a^2-\frac{15\,b^2}{8}\right)\,2{}\mathrm{i}}{d}","Not used",1,"log(- ((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2) - (64*a*b^8*(13*b^4 - 6*a^4 + 7*a^2*b^2))/d))/2 - (4*a*b^8*(a + b*tan(c + d*x))^(1/2)*(144*a^6 + 304*b^6 + 145*a^2*b^4 - 1056*a^4*b^2))/d^2))/2 - (6*a^2*b^8*(16*a^8 - 309*b^8 + 576*a^2*b^6 + 485*a^4*b^4 - 384*a^6*b^2))/d^3))/2 + (b^8*(a + b*tan(c + d*x))^(1/2)*(96*a^12 + 32*b^12 - 33*a^2*b^10 + 4095*a^4*b^8 - 6399*a^6*b^6 + 5265*a^8*b^4 - 1008*a^10*b^2))/d^4))/2 - (a*b^10*(a^2 + b^2)^3*(504*a^6 - 120*b^6 + 379*a^2*b^4 - 1113*a^4*b^2))/(2*d^5))*((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4) + a^5/(4*d^2) + (5*a*b^4)/(4*d^2) - (5*a^3*b^2)/(2*d^2))^(1/2) - log(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2) + (64*a*b^8*(13*b^4 - 6*a^4 + 7*a^2*b^2))/d))/2 - (4*a*b^8*(a + b*tan(c + d*x))^(1/2)*(144*a^6 + 304*b^6 + 145*a^2*b^4 - 1056*a^4*b^2))/d^2))/2 + (6*a^2*b^8*(16*a^8 - 309*b^8 + 576*a^2*b^6 + 485*a^4*b^4 - 384*a^6*b^2))/d^3))/2 + (b^8*(a + b*tan(c + d*x))^(1/2)*(96*a^12 + 32*b^12 - 33*a^2*b^10 + 4095*a^4*b^8 - 6399*a^6*b^6 + 5265*a^8*b^4 - 1008*a^10*b^2))/d^4))/2 - (a*b^10*(a^2 + b^2)^3*(504*a^6 - 120*b^6 + 379*a^2*b^4 - 1113*a^4*b^2))/(2*d^5))*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*d^4))^(1/2) - log(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2) + (64*a*b^8*(13*b^4 - 6*a^4 + 7*a^2*b^2))/d))/2 - (4*a*b^8*(a + b*tan(c + d*x))^(1/2)*(144*a^6 + 304*b^6 + 145*a^2*b^4 - 1056*a^4*b^2))/d^2))/2 + (6*a^2*b^8*(16*a^8 - 309*b^8 + 576*a^2*b^6 + 485*a^4*b^4 - 384*a^6*b^2))/d^3))/2 + (b^8*(a + b*tan(c + d*x))^(1/2)*(96*a^12 + 32*b^12 - 33*a^2*b^10 + 4095*a^4*b^8 - 6399*a^6*b^6 + 5265*a^8*b^4 - 1008*a^10*b^2))/d^4))/2 - (a*b^10*(a^2 + b^2)^3*(504*a^6 - 120*b^6 + 379*a^2*b^4 - 1113*a^4*b^2))/(2*d^5))*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*d^4))^(1/2) + log(- ((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2) - (64*a*b^8*(13*b^4 - 6*a^4 + 7*a^2*b^2))/d))/2 - (4*a*b^8*(a + b*tan(c + d*x))^(1/2)*(144*a^6 + 304*b^6 + 145*a^2*b^4 - 1056*a^4*b^2))/d^2))/2 - (6*a^2*b^8*(16*a^8 - 309*b^8 + 576*a^2*b^6 + 485*a^4*b^4 - 384*a^6*b^2))/d^3))/2 + (b^8*(a + b*tan(c + d*x))^(1/2)*(96*a^12 + 32*b^12 - 33*a^2*b^10 + 4095*a^4*b^8 - 6399*a^6*b^6 + 5265*a^8*b^4 - 1008*a^10*b^2))/d^4))/2 - (a*b^10*(a^2 + b^2)^3*(504*a^6 - 120*b^6 + 379*a^2*b^4 - 1113*a^4*b^2))/(2*d^5))*(a^5/(4*d^2) - (20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4) + (5*a*b^4)/(4*d^2) - (5*a^3*b^2)/(2*d^2))^(1/2) + ((7*a^2*b^2*(a + b*tan(c + d*x))^(1/2))/4 - (9*a*b^2*(a + b*tan(c + d*x))^(3/2))/4)/(d*(a + b*tan(c + d*x))^2 + a^2*d - 2*a*d*(a + b*tan(c + d*x))) + (a^(1/2)*atan(((a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(32*b^20 - 33*a^2*b^18 + 4095*a^4*b^16 - 6399*a^6*b^14 + 5265*a^8*b^12 - 1008*a^10*b^10 + 96*a^12*b^8))/d^4 + (a^(1/2)*(a^2 - (15*b^2)/8)*((3456*a^4*b^14*d^2 - 1854*a^2*b^16*d^2 + 2910*a^6*b^12*d^2 - 2304*a^8*b^10*d^2 + 96*a^10*b^8*d^2)/d^5 - (a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(1216*a*b^14*d^2 + 580*a^3*b^12*d^2 - 4224*a^5*b^10*d^2 + 576*a^7*b^8*d^2))/d^4 - (a^(1/2)*(a^2 - (15*b^2)/8)*((832*a*b^12*d^4 + 448*a^3*b^10*d^4 - 384*a^5*b^8*d^4)/d^5 + (a^(1/2)*(a^2 - (15*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d)*1i)/d + (a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(32*b^20 - 33*a^2*b^18 + 4095*a^4*b^16 - 6399*a^6*b^14 + 5265*a^8*b^12 - 1008*a^10*b^10 + 96*a^12*b^8))/d^4 - (a^(1/2)*(a^2 - (15*b^2)/8)*((3456*a^4*b^14*d^2 - 1854*a^2*b^16*d^2 + 2910*a^6*b^12*d^2 - 2304*a^8*b^10*d^2 + 96*a^10*b^8*d^2)/d^5 + (a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(1216*a*b^14*d^2 + 580*a^3*b^12*d^2 - 4224*a^5*b^10*d^2 + 576*a^7*b^8*d^2))/d^4 + (a^(1/2)*(a^2 - (15*b^2)/8)*((832*a*b^12*d^4 + 448*a^3*b^10*d^4 - 384*a^5*b^8*d^4)/d^5 - (a^(1/2)*(a^2 - (15*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d)*1i)/d)/((120*a*b^22 - 19*a^3*b^20 + 336*a^5*b^18 + 1818*a^7*b^16 + 1448*a^9*b^14 - 399*a^11*b^12 - 504*a^13*b^10)/d^5 + (a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(32*b^20 - 33*a^2*b^18 + 4095*a^4*b^16 - 6399*a^6*b^14 + 5265*a^8*b^12 - 1008*a^10*b^10 + 96*a^12*b^8))/d^4 + (a^(1/2)*(a^2 - (15*b^2)/8)*((3456*a^4*b^14*d^2 - 1854*a^2*b^16*d^2 + 2910*a^6*b^12*d^2 - 2304*a^8*b^10*d^2 + 96*a^10*b^8*d^2)/d^5 - (a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(1216*a*b^14*d^2 + 580*a^3*b^12*d^2 - 4224*a^5*b^10*d^2 + 576*a^7*b^8*d^2))/d^4 - (a^(1/2)*(a^2 - (15*b^2)/8)*((832*a*b^12*d^4 + 448*a^3*b^10*d^4 - 384*a^5*b^8*d^4)/d^5 + (a^(1/2)*(a^2 - (15*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d))/d - (a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(32*b^20 - 33*a^2*b^18 + 4095*a^4*b^16 - 6399*a^6*b^14 + 5265*a^8*b^12 - 1008*a^10*b^10 + 96*a^12*b^8))/d^4 - (a^(1/2)*(a^2 - (15*b^2)/8)*((3456*a^4*b^14*d^2 - 1854*a^2*b^16*d^2 + 2910*a^6*b^12*d^2 - 2304*a^8*b^10*d^2 + 96*a^10*b^8*d^2)/d^5 + (a^(1/2)*(a^2 - (15*b^2)/8)*(((a + b*tan(c + d*x))^(1/2)*(1216*a*b^14*d^2 + 580*a^3*b^12*d^2 - 4224*a^5*b^10*d^2 + 576*a^7*b^8*d^2))/d^4 + (a^(1/2)*(a^2 - (15*b^2)/8)*((832*a*b^12*d^4 + 448*a^3*b^10*d^4 - 384*a^5*b^8*d^4)/d^5 - (a^(1/2)*(a^2 - (15*b^2)/8)*(512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d))/d))*(a^2 - (15*b^2)/8)*2i)/d","B"
526,1,4455,237,10.914038,"\text{Not used}","int(cot(c + d*x)^4*(a + b*tan(c + d*x))^(5/2),x)","\frac{\left(\frac{5\,a\,b^3}{3}-2\,a^3\,b\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+\left(a^4\,b-\frac{5\,a^2\,b^3}{8}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\left(a^2\,b-\frac{11\,b^3}{8}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3-a^3\,d-3\,a\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2+3\,a^2\,d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\ln\left(\frac{5\,b^9\,{\left(a^2+b^2\right)}^3\,\left(-128\,a^8+592\,a^6\,b^2-896\,a^4\,b^4+15\,a^2\,b^6+11\,b^8\right)}{8\,d^5}-\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{32\,b^9\,\left(32\,a^4+27\,a^2\,b^2-5\,b^4\right)}{d}-128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}-\frac{a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(320\,a^6-4864\,a^4\,b^2+80\,a^2\,b^4+1191\,b^6\right)}{d^2}\right)}{2}-\frac{a\,b^9\,\left(-736\,a^8+3984\,a^6\,b^2+1088\,a^4\,b^4-3225\,a^2\,b^6+407\,b^8\right)}{d^3}\right)}{2}-\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}-832\,a^{10}\,b^2+26320\,a^8\,b^4-27465\,a^6\,b^6+9895\,a^4\,b^8-7\,a^2\,b^{10}+153\,b^{12}\right)}{4\,d^4}\right)}{2}\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{5\,b^9\,{\left(a^2+b^2\right)}^3\,\left(-128\,a^8+592\,a^6\,b^2-896\,a^4\,b^4+15\,a^2\,b^6+11\,b^8\right)}{8\,d^5}-\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{32\,b^9\,\left(32\,a^4+27\,a^2\,b^2-5\,b^4\right)}{d}-128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}-\frac{a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(320\,a^6-4864\,a^4\,b^2+80\,a^2\,b^4+1191\,b^6\right)}{d^2}\right)}{2}-\frac{a\,b^9\,\left(-736\,a^8+3984\,a^6\,b^2+1088\,a^4\,b^4-3225\,a^2\,b^6+407\,b^8\right)}{d^3}\right)}{2}-\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}-832\,a^{10}\,b^2+26320\,a^8\,b^4-27465\,a^6\,b^6+9895\,a^4\,b^8-7\,a^2\,b^{10}+153\,b^{12}\right)}{4\,d^4}\right)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{5\,b^9\,{\left(a^2+b^2\right)}^3\,\left(-128\,a^8+592\,a^6\,b^2-896\,a^4\,b^4+15\,a^2\,b^6+11\,b^8\right)}{8\,d^5}-\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{32\,b^9\,\left(32\,a^4+27\,a^2\,b^2-5\,b^4\right)}{d}+128\,b^8\,\sqrt{\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}+\frac{a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(320\,a^6-4864\,a^4\,b^2+80\,a^2\,b^4+1191\,b^6\right)}{d^2}\right)}{2}-\frac{a\,b^9\,\left(-736\,a^8+3984\,a^6\,b^2+1088\,a^4\,b^4-3225\,a^2\,b^6+407\,b^8\right)}{d^3}\right)}{2}+\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}-832\,a^{10}\,b^2+26320\,a^8\,b^4-27465\,a^6\,b^6+9895\,a^4\,b^8-7\,a^2\,b^{10}+153\,b^{12}\right)}{4\,d^4}\right)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}-\frac{a^5}{4\,d^2}-\frac{5\,a\,b^4}{4\,d^2}+\frac{5\,a^3\,b^2}{2\,d^2}}+\ln\left(\frac{5\,b^9\,{\left(a^2+b^2\right)}^3\,\left(-128\,a^8+592\,a^6\,b^2-896\,a^4\,b^4+15\,a^2\,b^6+11\,b^8\right)}{8\,d^5}-\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{32\,b^9\,\left(32\,a^4+27\,a^2\,b^2-5\,b^4\right)}{d}+128\,b^8\,\sqrt{-\frac{\sqrt{-b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{d^4}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2}+\frac{a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(320\,a^6-4864\,a^4\,b^2+80\,a^2\,b^4+1191\,b^6\right)}{d^2}\right)}{2}-\frac{a\,b^9\,\left(-736\,a^8+3984\,a^6\,b^2+1088\,a^4\,b^4-3225\,a^2\,b^6+407\,b^8\right)}{d^3}\right)}{2}+\frac{b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}-832\,a^{10}\,b^2+26320\,a^8\,b^4-27465\,a^6\,b^6+9895\,a^4\,b^8-7\,a^2\,b^{10}+153\,b^{12}\right)}{4\,d^4}\right)}{2}\right)\,\sqrt{\frac{5\,a^3\,b^2}{2\,d^2}-\frac{a^5}{4\,d^2}-\frac{5\,a\,b^4}{4\,d^2}-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}}+\frac{b\,\mathrm{atan}\left(\frac{\frac{b\,\left(8\,a^2-b^2\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}\,b^8-832\,a^{10}\,b^{10}+26320\,a^8\,b^{12}-27465\,a^6\,b^{14}+9895\,a^4\,b^{16}-7\,a^2\,b^{18}+153\,b^{20}\right)}{4\,d^4}+\frac{5\,b\,\left(\frac{-736\,a^9\,b^9\,d^2+3984\,a^7\,b^{11}\,d^2+1088\,a^5\,b^{13}\,d^2-3225\,a^3\,b^{15}\,d^2+407\,a\,b^{17}\,d^2}{d^5}+\frac{5\,b\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,a^7\,b^8\,d^2-19456\,a^5\,b^{10}\,d^2+320\,a^3\,b^{12}\,d^2+4764\,a\,b^{14}\,d^2\right)}{4\,d^4}-\frac{5\,b\,\left(\frac{1024\,a^4\,b^9\,d^4+864\,a^2\,b^{11}\,d^4-160\,b^{13}\,d^4}{d^5}-\frac{5\,b\,\left(8\,a^2-b^2\right)\,\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{64\,\sqrt{a}\,d^5}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,5{}\mathrm{i}}{16\,\sqrt{a}\,d}+\frac{b\,\left(8\,a^2-b^2\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}\,b^8-832\,a^{10}\,b^{10}+26320\,a^8\,b^{12}-27465\,a^6\,b^{14}+9895\,a^4\,b^{16}-7\,a^2\,b^{18}+153\,b^{20}\right)}{4\,d^4}-\frac{5\,b\,\left(\frac{-736\,a^9\,b^9\,d^2+3984\,a^7\,b^{11}\,d^2+1088\,a^5\,b^{13}\,d^2-3225\,a^3\,b^{15}\,d^2+407\,a\,b^{17}\,d^2}{d^5}-\frac{5\,b\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,a^7\,b^8\,d^2-19456\,a^5\,b^{10}\,d^2+320\,a^3\,b^{12}\,d^2+4764\,a\,b^{14}\,d^2\right)}{4\,d^4}+\frac{5\,b\,\left(\frac{1024\,a^4\,b^9\,d^4+864\,a^2\,b^{11}\,d^4-160\,b^{13}\,d^4}{d^5}+\frac{5\,b\,\left(8\,a^2-b^2\right)\,\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{64\,\sqrt{a}\,d^5}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,5{}\mathrm{i}}{16\,\sqrt{a}\,d}}{\frac{-160\,a^{14}\,b^9+260\,a^{12}\,b^{11}+620\,a^{10}\,b^{13}-\frac{5125\,a^8\,b^{15}}{4}-2550\,a^6\,b^{17}-\frac{2045\,a^4\,b^{19}}{2}+60\,a^2\,b^{21}+\frac{55\,b^{23}}{4}}{d^5}+\frac{5\,b\,\left(8\,a^2-b^2\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}\,b^8-832\,a^{10}\,b^{10}+26320\,a^8\,b^{12}-27465\,a^6\,b^{14}+9895\,a^4\,b^{16}-7\,a^2\,b^{18}+153\,b^{20}\right)}{4\,d^4}+\frac{5\,b\,\left(\frac{-736\,a^9\,b^9\,d^2+3984\,a^7\,b^{11}\,d^2+1088\,a^5\,b^{13}\,d^2-3225\,a^3\,b^{15}\,d^2+407\,a\,b^{17}\,d^2}{d^5}+\frac{5\,b\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,a^7\,b^8\,d^2-19456\,a^5\,b^{10}\,d^2+320\,a^3\,b^{12}\,d^2+4764\,a\,b^{14}\,d^2\right)}{4\,d^4}-\frac{5\,b\,\left(\frac{1024\,a^4\,b^9\,d^4+864\,a^2\,b^{11}\,d^4-160\,b^{13}\,d^4}{d^5}-\frac{5\,b\,\left(8\,a^2-b^2\right)\,\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{64\,\sqrt{a}\,d^5}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)}{16\,\sqrt{a}\,d}-\frac{5\,b\,\left(8\,a^2-b^2\right)\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,a^{12}\,b^8-832\,a^{10}\,b^{10}+26320\,a^8\,b^{12}-27465\,a^6\,b^{14}+9895\,a^4\,b^{16}-7\,a^2\,b^{18}+153\,b^{20}\right)}{4\,d^4}-\frac{5\,b\,\left(\frac{-736\,a^9\,b^9\,d^2+3984\,a^7\,b^{11}\,d^2+1088\,a^5\,b^{13}\,d^2-3225\,a^3\,b^{15}\,d^2+407\,a\,b^{17}\,d^2}{d^5}-\frac{5\,b\,\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,a^7\,b^8\,d^2-19456\,a^5\,b^{10}\,d^2+320\,a^3\,b^{12}\,d^2+4764\,a\,b^{14}\,d^2\right)}{4\,d^4}+\frac{5\,b\,\left(\frac{1024\,a^4\,b^9\,d^4+864\,a^2\,b^{11}\,d^4-160\,b^{13}\,d^4}{d^5}+\frac{5\,b\,\left(8\,a^2-b^2\right)\,\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{64\,\sqrt{a}\,d^5}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)\,\left(8\,a^2-b^2\right)}{16\,\sqrt{a}\,d}\right)}{16\,\sqrt{a}\,d}}\right)\,\left(8\,a^2-b^2\right)\,5{}\mathrm{i}}{8\,\sqrt{a}\,d}","Not used",1,"(((5*a*b^3)/3 - 2*a^3*b)*(a + b*tan(c + d*x))^(3/2) + (a^4*b - (5*a^2*b^3)/8)*(a + b*tan(c + d*x))^(1/2) + (a^2*b - (11*b^3)/8)*(a + b*tan(c + d*x))^(5/2))/(d*(a + b*tan(c + d*x))^3 - a^3*d - 3*a*d*(a + b*tan(c + d*x))^2 + 3*a^2*d*(a + b*tan(c + d*x))) - log((5*b^9*(a^2 + b^2)^3*(11*b^8 - 128*a^8 + 15*a^2*b^6 - 896*a^4*b^4 + 592*a^6*b^2))/(8*d^5) - ((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*((32*b^9*(32*a^4 - 5*b^4 + 27*a^2*b^2))/d - 128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 - (a*b^8*(a + b*tan(c + d*x))^(1/2)*(320*a^6 + 1191*b^6 + 80*a^2*b^4 - 4864*a^4*b^2))/d^2))/2 - (a*b^9*(407*b^8 - 736*a^8 - 3225*a^2*b^6 + 1088*a^4*b^4 + 3984*a^6*b^2))/d^3))/2 - (b^8*(a + b*tan(c + d*x))^(1/2)*(128*a^12 + 153*b^12 - 7*a^2*b^10 + 9895*a^4*b^8 - 27465*a^6*b^6 + 26320*a^8*b^4 - 832*a^10*b^2))/(4*d^4)))/2)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*d^4))^(1/2) - log((5*b^9*(a^2 + b^2)^3*(11*b^8 - 128*a^8 + 15*a^2*b^6 - 896*a^4*b^4 + 592*a^6*b^2))/(8*d^5) - ((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*((32*b^9*(32*a^4 - 5*b^4 + 27*a^2*b^2))/d - 128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 - (a*b^8*(a + b*tan(c + d*x))^(1/2)*(320*a^6 + 1191*b^6 + 80*a^2*b^4 - 4864*a^4*b^2))/d^2))/2 - (a*b^9*(407*b^8 - 736*a^8 - 3225*a^2*b^6 + 1088*a^4*b^4 + 3984*a^6*b^2))/d^3))/2 - (b^8*(a + b*tan(c + d*x))^(1/2)*(128*a^12 + 153*b^12 - 7*a^2*b^10 + 9895*a^4*b^8 - 27465*a^6*b^6 + 26320*a^8*b^4 - 832*a^10*b^2))/(4*d^4)))/2)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*d^4))^(1/2) + log((5*b^9*(a^2 + b^2)^3*(11*b^8 - 128*a^8 + 15*a^2*b^6 - 896*a^4*b^4 + 592*a^6*b^2))/(8*d^5) - ((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(((((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*((32*b^9*(32*a^4 - 5*b^4 + 27*a^2*b^2))/d + 128*b^8*(((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 + (a*b^8*(a + b*tan(c + d*x))^(1/2)*(320*a^6 + 1191*b^6 + 80*a^2*b^4 - 4864*a^4*b^2))/d^2))/2 - (a*b^9*(407*b^8 - 736*a^8 - 3225*a^2*b^6 + 1088*a^4*b^4 + 3984*a^6*b^2))/d^3))/2 + (b^8*(a + b*tan(c + d*x))^(1/2)*(128*a^12 + 153*b^12 - 7*a^2*b^10 + 9895*a^4*b^8 - 27465*a^6*b^6 + 26320*a^8*b^4 - 832*a^10*b^2))/(4*d^4)))/2)*((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4) - a^5/(4*d^2) - (5*a*b^4)/(4*d^2) + (5*a^3*b^2)/(2*d^2))^(1/2) + log((5*b^9*(a^2 + b^2)^3*(11*b^8 - 128*a^8 + 15*a^2*b^6 - 896*a^4*b^4 + 592*a^6*b^2))/(8*d^5) - ((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(((-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*((32*b^9*(32*a^4 - 5*b^4 + 27*a^2*b^2))/d + 128*b^8*(-((-b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/d^4)^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2)))/2 + (a*b^8*(a + b*tan(c + d*x))^(1/2)*(320*a^6 + 1191*b^6 + 80*a^2*b^4 - 4864*a^4*b^2))/d^2))/2 - (a*b^9*(407*b^8 - 736*a^8 - 3225*a^2*b^6 + 1088*a^4*b^4 + 3984*a^6*b^2))/d^3))/2 + (b^8*(a + b*tan(c + d*x))^(1/2)*(128*a^12 + 153*b^12 - 7*a^2*b^10 + 9895*a^4*b^8 - 27465*a^6*b^6 + 26320*a^8*b^4 - 832*a^10*b^2))/(4*d^4)))/2)*((5*a^3*b^2)/(2*d^2) - a^5/(4*d^2) - (5*a*b^4)/(4*d^2) - (20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2)/(4*d^4))^(1/2) + (b*atan(((b*(8*a^2 - b^2)*(((a + b*tan(c + d*x))^(1/2)*(153*b^20 - 7*a^2*b^18 + 9895*a^4*b^16 - 27465*a^6*b^14 + 26320*a^8*b^12 - 832*a^10*b^10 + 128*a^12*b^8))/(4*d^4) + (5*b*((407*a*b^17*d^2 - 3225*a^3*b^15*d^2 + 1088*a^5*b^13*d^2 + 3984*a^7*b^11*d^2 - 736*a^9*b^9*d^2)/d^5 + (5*b*(((a + b*tan(c + d*x))^(1/2)*(4764*a*b^14*d^2 + 320*a^3*b^12*d^2 - 19456*a^5*b^10*d^2 + 1280*a^7*b^8*d^2))/(4*d^4) - (5*b*((864*a^2*b^11*d^4 - 160*b^13*d^4 + 1024*a^4*b^9*d^4)/d^5 - (5*b*(8*a^2 - b^2)*(2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(64*a^(1/2)*d^5))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d))*5i)/(16*a^(1/2)*d) + (b*(8*a^2 - b^2)*(((a + b*tan(c + d*x))^(1/2)*(153*b^20 - 7*a^2*b^18 + 9895*a^4*b^16 - 27465*a^6*b^14 + 26320*a^8*b^12 - 832*a^10*b^10 + 128*a^12*b^8))/(4*d^4) - (5*b*((407*a*b^17*d^2 - 3225*a^3*b^15*d^2 + 1088*a^5*b^13*d^2 + 3984*a^7*b^11*d^2 - 736*a^9*b^9*d^2)/d^5 - (5*b*(((a + b*tan(c + d*x))^(1/2)*(4764*a*b^14*d^2 + 320*a^3*b^12*d^2 - 19456*a^5*b^10*d^2 + 1280*a^7*b^8*d^2))/(4*d^4) + (5*b*((864*a^2*b^11*d^4 - 160*b^13*d^4 + 1024*a^4*b^9*d^4)/d^5 + (5*b*(8*a^2 - b^2)*(2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(64*a^(1/2)*d^5))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d))*5i)/(16*a^(1/2)*d))/(((55*b^23)/4 + 60*a^2*b^21 - (2045*a^4*b^19)/2 - 2550*a^6*b^17 - (5125*a^8*b^15)/4 + 620*a^10*b^13 + 260*a^12*b^11 - 160*a^14*b^9)/d^5 + (5*b*(8*a^2 - b^2)*(((a + b*tan(c + d*x))^(1/2)*(153*b^20 - 7*a^2*b^18 + 9895*a^4*b^16 - 27465*a^6*b^14 + 26320*a^8*b^12 - 832*a^10*b^10 + 128*a^12*b^8))/(4*d^4) + (5*b*((407*a*b^17*d^2 - 3225*a^3*b^15*d^2 + 1088*a^5*b^13*d^2 + 3984*a^7*b^11*d^2 - 736*a^9*b^9*d^2)/d^5 + (5*b*(((a + b*tan(c + d*x))^(1/2)*(4764*a*b^14*d^2 + 320*a^3*b^12*d^2 - 19456*a^5*b^10*d^2 + 1280*a^7*b^8*d^2))/(4*d^4) - (5*b*((864*a^2*b^11*d^4 - 160*b^13*d^4 + 1024*a^4*b^9*d^4)/d^5 - (5*b*(8*a^2 - b^2)*(2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(64*a^(1/2)*d^5))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d)))/(16*a^(1/2)*d) - (5*b*(8*a^2 - b^2)*(((a + b*tan(c + d*x))^(1/2)*(153*b^20 - 7*a^2*b^18 + 9895*a^4*b^16 - 27465*a^6*b^14 + 26320*a^8*b^12 - 832*a^10*b^10 + 128*a^12*b^8))/(4*d^4) - (5*b*((407*a*b^17*d^2 - 3225*a^3*b^15*d^2 + 1088*a^5*b^13*d^2 + 3984*a^7*b^11*d^2 - 736*a^9*b^9*d^2)/d^5 - (5*b*(((a + b*tan(c + d*x))^(1/2)*(4764*a*b^14*d^2 + 320*a^3*b^12*d^2 - 19456*a^5*b^10*d^2 + 1280*a^7*b^8*d^2))/(4*d^4) + (5*b*((864*a^2*b^11*d^4 - 160*b^13*d^4 + 1024*a^4*b^9*d^4)/d^5 + (5*b*(8*a^2 - b^2)*(2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(64*a^(1/2)*d^5))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d))*(8*a^2 - b^2))/(16*a^(1/2)*d)))/(16*a^(1/2)*d)))*(8*a^2 - b^2)*5i)/(8*a^(1/2)*d)","B"
527,1,2862,167,11.473349,"\text{Not used}","int((a + b*tan(c + d*x))^(7/2),x)","\left(\frac{8\,a^2\,b}{d}-\frac{2\,b\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{2\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,d}+\frac{4\,a\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}+\frac{64\,\left(-a^{11}\,b^3-3\,a^9\,b^5-2\,a^7\,b^7+2\,a^5\,b^9+3\,a^3\,b^{11}+a\,b^{13}\right)}{d^3}}\right)\,\sqrt{\frac{-a^7-a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2+a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4-a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6+b^7\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}-64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}+\left(\left(\frac{32\,\left(3\,a^4\,b^3\,d^2+2\,a^2\,b^5\,d^2-b^7\,d^2\right)}{d^3}+64\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b^2-28\,a^6\,b^4+70\,a^4\,b^6-28\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}+\frac{64\,\left(-a^{11}\,b^3-3\,a^9\,b^5-2\,a^7\,b^7+2\,a^5\,b^9+3\,a^3\,b^{11}+a\,b^{13}\right)}{d^3}}\right)\,\sqrt{\frac{-a^7+a^6\,b\,7{}\mathrm{i}+21\,a^5\,b^2-a^4\,b^3\,35{}\mathrm{i}-35\,a^3\,b^4+a^2\,b^5\,21{}\mathrm{i}+7\,a\,b^6-b^7\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"((8*a^2*b)/d - (2*b*(a^2 + b^2))/d)*(a + b*tan(c + d*x))^(1/2) - atan(((((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2)*1i - (((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2)*1i)/((((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (64*(a*b^13 + 3*a^3*b^11 + 2*a^5*b^9 - 2*a^7*b^7 - 3*a^9*b^5 - a^11*b^3))/d^3))*((7*a*b^6 - a^6*b*7i - a^7 + b^7*1i - a^2*b^5*21i - 35*a^3*b^4 + a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2)*2i - atan(((((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2)*1i - (((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2)*1i)/((((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 - 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (((32*(2*a^2*b^5*d^2 - b^7*d^2 + 3*a^4*b^3*d^2))/d^3 + 64*a*b^2*(a + b*tan(c + d*x))^(1/2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2))*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 28*a^2*b^8 + 70*a^4*b^6 - 28*a^6*b^4 + a^8*b^2))/d^2)*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2) + (64*(a*b^13 + 3*a^3*b^11 + 2*a^5*b^9 - 2*a^7*b^7 - 3*a^9*b^5 - a^11*b^3))/d^3))*((7*a*b^6 + a^6*b*7i - a^7 - b^7*1i + a^2*b^5*21i - 35*a^3*b^4 - a^4*b^3*35i + 21*a^5*b^2)/(4*d^2))^(1/2)*2i + (2*b*(a + b*tan(c + d*x))^(5/2))/(5*d) + (4*a*b*(a + b*tan(c + d*x))^(3/2))/(3*d)","B"
528,1,938,229,11.484818,"\text{Not used}","int(tan(c + d*x)^5/(a + b*tan(c + d*x))^(1/2),x)","\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a\,\left(\frac{8\,a^2}{b^4\,d}-\frac{2\,\left(a^2+b^2\right)}{b^4\,d}\right)-\frac{20\,a^3}{b^4\,d}+\frac{6\,a\,\left(a^2+b^2\right)}{b^4\,d}\right)+\left(\frac{8\,a^2}{3\,b^4\,d}-\frac{2\,\left(a^2+b^2\right)}{3\,b^4\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^4\,d}-\frac{6\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^4\,d}-\mathrm{atan}\left(-\frac{b^2\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,b^2}{d}-\frac{64\,a^2\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^3\,d^2\,64{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{a^2\,b^2\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\frac{64\,b^4}{d}+\frac{64\,a^2\,b^2}{d}-\frac{256\,a^2\,b^4\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^3\,b^3\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a^4\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^5\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{128\,a\,b^3\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{64\,b^4}{d}+\frac{64\,a^2\,b^2}{d}-\frac{256\,a^2\,b^4\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^3\,b^3\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a^4\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^5\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{b^2\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}}{\frac{16\,b^2}{d}-\frac{16\,a\,b^2\,d^2}{a\,d^3-b\,d^3\,1{}\mathrm{i}}}+\frac{a\,b^2\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}}{\frac{b^3\,16{}\mathrm{i}}{d}-\frac{16\,a\,b^2}{d}-\frac{a\,b^3\,d^2\,16{}\mathrm{i}}{a\,d^3-b\,d^3\,1{}\mathrm{i}}+\frac{16\,a^2\,b^2\,d^2}{a\,d^3-b\,d^3\,1{}\mathrm{i}}}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"(a + b*tan(c + d*x))^(1/2)*(2*a*((8*a^2)/(b^4*d) - (2*(a^2 + b^2))/(b^4*d)) - (20*a^3)/(b^4*d) + (6*a*(a^2 + b^2))/(b^4*d)) - atan((a^2*b^2*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((64*b^4)/d + (64*a^2*b^2)/d - (256*a^2*b^4*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^3*b^3*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^4*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^5*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3)) - (b^2*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*b^2)/d - (64*a^2*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^3*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3)) + (128*a*b^3*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((64*b^4)/d + (64*a^2*b^2)/d - (256*a^2*b^4*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^3*b^3*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^4*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^5*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3)))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i + ((8*a^2)/(3*b^4*d) - (2*(a^2 + b^2))/(3*b^4*d))*(a + b*tan(c + d*x))^(3/2) + atan((b^2*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*16i)/((16*b^2)/d - (16*a*b^2*d^2)/(a*d^3 - b*d^3*1i)) + (a*b^2*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*16i)/((b^3*16i)/d - (16*a*b^2)/d - (a*b^3*d^2*16i)/(a*d^3 - b*d^3*1i) + (16*a^2*b^2*d^2)/(a*d^3 - b*d^3*1i)))*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i + (2*(a + b*tan(c + d*x))^(7/2))/(7*b^4*d) - (6*a*(a + b*tan(c + d*x))^(5/2))/(5*b^4*d)","B"
529,1,791,500,7.941961,"\text{Not used}","int(tan(c + d*x)^4/(a + b*tan(c + d*x))^(1/2),x)","\left(\frac{4\,a^2}{b^3\,d}-\frac{2\,\left(a^2+b^2\right)}{b^3\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{\ln\left(16\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+16\,b^3\,d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}-\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a-b\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(-16\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+16\,b^3\,d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}+\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a-b\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^3\,d}-\frac{4\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^3\,d}+\mathrm{atan}\left(-\frac{b^2\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{-\frac{64\,a\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^4\,d^2\,64{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{128\,a\,b^3\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{-\frac{256\,a^3\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a\,b^5\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^6\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{a^2\,b^2\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{-\frac{256\,a^3\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a\,b^5\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^6\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}","Not used",1,"((4*a^2)/(b^3*d) - (2*(a^2 + b^2))/(b^3*d))*(a + b*tan(c + d*x))^(1/2) + (log(16*b^2*(a + b*tan(c + d*x))^(1/2) + 16*b^3*d*(-1/(d^2*(a - b*1i)))^(1/2) - (16*a*b^2*(a + b*tan(c + d*x))^(1/2))/(a - b*1i))*(-1/(a*d^2 - b*d^2*1i))^(1/2))/2 - log(16*b^3*d*(-1/(d^2*(a - b*1i)))^(1/2) - 16*b^2*(a + b*tan(c + d*x))^(1/2) + (16*a*b^2*(a + b*tan(c + d*x))^(1/2))/(a - b*1i))*(-1/(4*(a*d^2 - b*d^2*1i)))^(1/2) + atan((128*a*b^3*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^6*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) + (a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a*b^5*d^2)/(4*a^2*d^3 + 4*b^2*d^3)) - (b^2*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^4*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3) - (64*a*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3)) + (a^2*b^2*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((b^6*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) + (a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a*b^5*d^2)/(4*a^2*d^3 + 4*b^2*d^3)))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(5/2))/(5*b^3*d) - (4*a*(a + b*tan(c + d*x))^(3/2))/(3*b^3*d)","B"
530,1,827,140,4.992603,"\text{Not used}","int(tan(c + d*x)^3/(a + b*tan(c + d*x))^(1/2),x)","\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^2\,d}-\frac{2\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}+\mathrm{atan}\left(-\frac{b^2\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,b^2}{d}-\frac{64\,a^2\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^3\,d^2\,64{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{a^2\,b^2\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\frac{64\,b^4}{d}+\frac{64\,a^2\,b^2}{d}-\frac{256\,a^2\,b^4\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^3\,b^3\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a^4\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^5\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{128\,a\,b^3\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{64\,b^4}{d}+\frac{64\,a^2\,b^2}{d}-\frac{256\,a^2\,b^4\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^3\,b^3\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a^4\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^5\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b^2\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}}{\frac{16\,b^2}{d}-\frac{16\,a\,b^2\,d^2}{a\,d^3-b\,d^3\,1{}\mathrm{i}}}+\frac{a\,b^2\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}}{\frac{b^3\,16{}\mathrm{i}}{d}-\frac{16\,a\,b^2}{d}-\frac{a\,b^3\,d^2\,16{}\mathrm{i}}{a\,d^3-b\,d^3\,1{}\mathrm{i}}+\frac{16\,a^2\,b^2\,d^2}{a\,d^3-b\,d^3\,1{}\mathrm{i}}}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"atan((a^2*b^2*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((64*b^4)/d + (64*a^2*b^2)/d - (256*a^2*b^4*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^3*b^3*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^4*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^5*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3)) - (b^2*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*b^2)/d - (64*a^2*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^3*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3)) + (128*a*b^3*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((64*b^4)/d + (64*a^2*b^2)/d - (256*a^2*b^4*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^3*b^3*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^4*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^5*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3)))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i - atan((b^2*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*16i)/((16*b^2)/d - (16*a*b^2*d^2)/(a*d^3 - b*d^3*1i)) + (a*b^2*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*16i)/((b^3*16i)/d - (16*a*b^2)/d - (a*b^3*d^2*16i)/(a*d^3 - b*d^3*1i) + (16*a^2*b^2*d^2)/(a*d^3 - b*d^3*1i)))*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i + (2*(a + b*tan(c + d*x))^(3/2))/(3*b^2*d) - (2*a*(a + b*tan(c + d*x))^(1/2))/(b^2*d)","B"
531,1,730,424,4.862809,"\text{Not used}","int(tan(c + d*x)^2/(a + b*tan(c + d*x))^(1/2),x)","\frac{\ln\left(-16\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+16\,b^3\,d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}+\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a-b\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(16\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+16\,b^3\,d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}-\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a-b\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\frac{2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b\,d}-\mathrm{atan}\left(-\frac{b^2\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{-\frac{64\,a\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^4\,d^2\,64{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{128\,a\,b^3\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{-\frac{256\,a^3\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a\,b^5\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^6\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{a^2\,b^2\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{-\frac{256\,a^3\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a\,b^5\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^6\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}","Not used",1,"(log(16*b^3*d*(-1/(d^2*(a - b*1i)))^(1/2) - 16*b^2*(a + b*tan(c + d*x))^(1/2) + (16*a*b^2*(a + b*tan(c + d*x))^(1/2))/(a - b*1i))*(-1/(a*d^2 - b*d^2*1i))^(1/2))/2 - log(16*b^2*(a + b*tan(c + d*x))^(1/2) + 16*b^3*d*(-1/(d^2*(a - b*1i)))^(1/2) - (16*a*b^2*(a + b*tan(c + d*x))^(1/2))/(a - b*1i))*(-1/(4*(a*d^2 - b*d^2*1i)))^(1/2) - atan((128*a*b^3*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^6*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) + (a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a*b^5*d^2)/(4*a^2*d^3 + 4*b^2*d^3)) - (b^2*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^4*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3) - (64*a*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3)) + (a^2*b^2*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((b^6*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) + (a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a*b^5*d^2)/(4*a^2*d^3 + 4*b^2*d^3)))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(1/2))/(b*d)","B"
532,1,781,87,4.754458,"\text{Not used}","int(tan(c + d*x)/(a + b*tan(c + d*x))^(1/2),x)","-2\,\mathrm{atanh}\left(\frac{32\,b^2\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,b^2}{d}-\frac{64\,a^2\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^3\,d^2\,64{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}-\frac{128\,a^2\,b^2\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{64\,b^4}{d}+\frac{64\,a^2\,b^2}{d}-\frac{256\,a^2\,b^4\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^3\,b^3\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a^4\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^5\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{a\,b^3\,\sqrt{\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}-\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{\frac{64\,b^4}{d}+\frac{64\,a^2\,b^2}{d}-\frac{256\,a^2\,b^4\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^3\,b^3\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a^4\,b^2\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a\,b^5\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}-\mathrm{atanh}\left(\frac{16\,b^2\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,b^2}{d}-\frac{16\,a\,b^2\,d^2}{a\,d^3-b\,d^3\,1{}\mathrm{i}}}+\frac{16\,a\,b^2\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^3\,16{}\mathrm{i}}{d}-\frac{16\,a\,b^2}{d}-\frac{a\,b^3\,d^2\,16{}\mathrm{i}}{a\,d^3-b\,d^3\,1{}\mathrm{i}}+\frac{16\,a^2\,b^2\,d^2}{a\,d^3-b\,d^3\,1{}\mathrm{i}}}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}","Not used",1,"- 2*atanh((32*b^2*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*b^2)/d - (64*a^2*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^3*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3)) - (128*a^2*b^2*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((64*b^4)/d + (64*a^2*b^2)/d - (256*a^2*b^4*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^3*b^3*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^4*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^5*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3)) + (a*b^3*(a/(4*a^2*d^2 + 4*b^2*d^2) - (b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((64*b^4)/d + (64*a^2*b^2)/d - (256*a^2*b^4*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^3*b^3*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^4*b^2*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a*b^5*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3)))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) - atanh((16*b^2*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*b^2)/d - (16*a*b^2*d^2)/(a*d^3 - b*d^3*1i)) + (16*a*b^2*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^3*16i)/d - (16*a*b^2)/d - (a*b^3*d^2*16i)/(a*d^3 - b*d^3*1i) + (16*a^2*b^2*d^2)/(a*d^3 - b*d^3*1i)))*(1/(a*d^2 - b*d^2*1i))^(1/2)","B"
533,1,708,402,5.139092,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(1/2),x)","\frac{\ln\left(16\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+16\,b^3\,d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}-\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a-b\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(-16\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+16\,b^3\,d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}+\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a-b\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+2\,\mathrm{atanh}\left(\frac{32\,b^2\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{-\frac{64\,a\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^4\,d^2\,64{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}+\frac{a\,b^3\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{-\frac{256\,a^3\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a\,b^5\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^6\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}-\frac{128\,a^2\,b^2\,\sqrt{-\frac{a}{4\,a^2\,d^2+4\,b^2\,d^2}+\frac{b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{-\frac{256\,a^3\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{256\,a\,b^5\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{b^6\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}","Not used",1,"(log(16*b^2*(a + b*tan(c + d*x))^(1/2) + 16*b^3*d*(-1/(d^2*(a - b*1i)))^(1/2) - (16*a*b^2*(a + b*tan(c + d*x))^(1/2))/(a - b*1i))*(-1/(a*d^2 - b*d^2*1i))^(1/2))/2 - log(16*b^3*d*(-1/(d^2*(a - b*1i)))^(1/2) - 16*b^2*(a + b*tan(c + d*x))^(1/2) + (16*a*b^2*(a + b*tan(c + d*x))^(1/2))/(a - b*1i))*(-1/(4*(a*d^2 - b*d^2*1i)))^(1/2) + 2*atanh((32*b^2*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^4*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3) - (64*a*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3)) + (a*b^3*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*128i)/((b^6*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) + (a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a*b^5*d^2)/(4*a^2*d^3 + 4*b^2*d^3)) - (128*a^2*b^2*((b*1i)/(4*a^2*d^2 + 4*b^2*d^2) - a/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^6*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) + (a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) - (256*a*b^5*d^2)/(4*a^2*d^3 + 4*b^2*d^3)))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)","B"
534,1,2028,116,4.638127,"\text{Not used}","int(cot(c + d*x)/(a + b*tan(c + d*x))^(1/2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{576\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,\left(576\,b^8+\frac{1024\,b^{10}}{a^2}\right)}+\frac{1024\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^{5/2}\,\left(576\,b^8+\frac{1024\,b^{10}}{a^2}\right)}\right)}{\sqrt{a}\,d}-\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}-\frac{16\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{2}+\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{96\,a\,b^8}{d^3}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}-\frac{\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}+\frac{16\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{2}-\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{96\,a\,b^8}{d^3}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}}{\frac{\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}-\frac{16\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{2}+\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{96\,a\,b^8}{d^3}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}+\frac{16\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{2}-\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{96\,a\,b^8}{d^3}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}-\frac{32\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)+\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)-\frac{96\,a\,b^8}{d^3}\right)-\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,1{}\mathrm{i}-\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}+\frac{32\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)-\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)-\frac{96\,a\,b^8}{d^3}\right)+\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}-\frac{32\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)+\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)-\frac{96\,a\,b^8}{d^3}\right)-\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{32\,\left(12\,a^2\,b^8\,d^2+16\,b^{10}\,d^2\right)}{d^3}+\frac{32\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)-\frac{576\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)-\frac{96\,a\,b^8}{d^3}\right)+\frac{96\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}","Not used",1,"- atan((((((((((1/(a*d^2 - b*d^2*1i))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 - (16*(1/(a*d^2 - b*d^2*1i))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4))/2 + (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - (96*a*b^8)/d^3)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i)/2 - ((((((((1/(a*d^2 - b*d^2*1i))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 + (16*(1/(a*d^2 - b*d^2*1i))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4))/2 - (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - (96*a*b^8)/d^3)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i)/2)/(((((((((1/(a*d^2 - b*d^2*1i))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 - (16*(1/(a*d^2 - b*d^2*1i))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4))/2 + (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - (96*a*b^8)/d^3)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + ((((((((1/(a*d^2 - b*d^2*1i))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 + (16*(1/(a*d^2 - b*d^2*1i))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4))/2 - (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - (96*a*b^8)/d^3)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2))/2))*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i - atan(((((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 - (32*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4) + (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2) - (96*a*b^8)/d^3) - (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*1i - (((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 + (32*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4) - (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2) - (96*a*b^8)/d^3) + (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*1i)/((((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 - (32*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4) + (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2) - (96*a*b^8)/d^3) - (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((32*(16*b^10*d^2 + 12*a^2*b^8*d^2))/d^3 + (32*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^4) - (576*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2) - (96*a*b^8)/d^3) + (96*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i - (2*atanh((576*b^8*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*(576*b^8 + (1024*b^10)/a^2)) + (1024*b^10*(a + b*tan(c + d*x))^(1/2))/(a^(5/2)*(576*b^8 + (1024*b^10)/a^2))))/(a^(1/2)*d)","B"
535,1,2145,461,7.255571,"\text{Not used}","int(cot(c + d*x)^2/(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\left(\frac{16\,\left(8\,a^3\,b^9\,d^4+16\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{16\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(48\,a^4\,b^8\,d^4+32\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{16\,\left(4\,a\,b^{10}\,d^2-20\,a^3\,b^8\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{16\,\left(8\,a^2\,b^9\,d^2+2\,b^{11}\,d^2\right)}{a^2\,d^5}\right)+\frac{16\,\left(b^{10}-2\,a^2\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\left(\frac{16\,\left(8\,a^3\,b^9\,d^4+16\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{16\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(48\,a^4\,b^8\,d^4+32\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}-\frac{16\,\left(4\,a\,b^{10}\,d^2-20\,a^3\,b^8\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{16\,\left(8\,a^2\,b^9\,d^2+2\,b^{11}\,d^2\right)}{a^2\,d^5}\right)-\frac{16\,\left(b^{10}-2\,a^2\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\left(\frac{16\,\left(8\,a^3\,b^9\,d^4+16\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{16\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(48\,a^4\,b^8\,d^4+32\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{16\,\left(4\,a\,b^{10}\,d^2-20\,a^3\,b^8\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{16\,\left(8\,a^2\,b^9\,d^2+2\,b^{11}\,d^2\right)}{a^2\,d^5}\right)+\frac{16\,\left(b^{10}-2\,a^2\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\left(\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\left(\frac{16\,\left(8\,a^3\,b^9\,d^4+16\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{16\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(48\,a^4\,b^8\,d^4+32\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}-\frac{16\,\left(4\,a\,b^{10}\,d^2-20\,a^3\,b^8\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{16\,\left(8\,a^2\,b^9\,d^2+2\,b^{11}\,d^2\right)}{a^2\,d^5}\right)-\frac{16\,\left(b^{10}-2\,a^2\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{32\,b^9}{a\,d^5}}\right)\,\sqrt{-\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}+\frac{\ln\left(-\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(128\,b^8\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{128\,b^9\,\left(a^2+2\,b^2\right)}{a\,d}\right)}{2}+\frac{64\,b^8\,\left(5\,a^2-b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a\,d^2}\right)}{2}+\frac{32\,b^9\,\left(4\,a^2+b^2\right)}{a^2\,d^3}\right)}{2}-\frac{16\,\left(b^{10}-2\,a^2\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)}{2}-\frac{16\,b^9}{a\,d^5}\right)\,\sqrt{-\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(128\,b^8\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\left(3\,a^2+2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\frac{128\,b^9\,\left(a^2+2\,b^2\right)}{a\,d}\right)}{2}+\frac{64\,b^8\,\left(5\,a^2-b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a\,d^2}\right)}{2}-\frac{32\,b^9\,\left(4\,a^2+b^2\right)}{a^2\,d^3}\right)}{2}-\frac{16\,\left(b^{10}-2\,a^2\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d^4}\right)}{2}-\frac{16\,b^9}{a\,d^5}\right)\,\sqrt{-\frac{1}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\frac{b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a\,\left(a\,d-d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\right)}-\frac{b\,\mathrm{atan}\left(\frac{b^{11}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,64{}\mathrm{i}}{\sqrt{a^3}\,\left(32\,a\,b^9+\frac{64\,b^{11}}{a}+\frac{32\,b^{13}}{a^3}+\frac{32\,b^{15}}{a^5}\right)}+\frac{b^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\sqrt{a^3}\,\left(64\,a\,b^{11}+32\,a^3\,b^9+\frac{32\,b^{13}}{a}+\frac{32\,b^{15}}{a^3}\right)}+\frac{b^{15}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\sqrt{a^3}\,\left(32\,a\,b^{13}+64\,a^3\,b^{11}+32\,a^5\,b^9+\frac{32\,b^{15}}{a}\right)}+\frac{b^9\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\sqrt{a^3}\,\left(\frac{32\,b^9}{a}+\frac{64\,b^{11}}{a^3}+\frac{32\,b^{13}}{a^5}+\frac{32\,b^{15}}{a^7}\right)}\right)\,1{}\mathrm{i}}{d\,\sqrt{a^3}}","Not used",1,"atan((((-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((((16*(16*a*b^11*d^4 + 8*a^3*b^9*d^4))/(a^2*d^5) - (16*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (16*(4*a*b^10*d^2 - 20*a^3*b^8*d^2)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (16*(2*b^11*d^2 + 8*a^2*b^9*d^2))/(a^2*d^5)) + (16*(b^10 - 2*a^2*b^8)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*1i - ((-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((((16*(16*a*b^11*d^4 + 8*a^3*b^9*d^4))/(a^2*d^5) + (16*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) - (16*(4*a*b^10*d^2 - 20*a^3*b^8*d^2)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (16*(2*b^11*d^2 + 8*a^2*b^9*d^2))/(a^2*d^5)) - (16*(b^10 - 2*a^2*b^8)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*1i)/(((-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((((16*(16*a*b^11*d^4 + 8*a^3*b^9*d^4))/(a^2*d^5) - (16*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (16*(4*a*b^10*d^2 - 20*a^3*b^8*d^2)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (16*(2*b^11*d^2 + 8*a^2*b^9*d^2))/(a^2*d^5)) + (16*(b^10 - 2*a^2*b^8)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + ((-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((((16*(16*a*b^11*d^4 + 8*a^3*b^9*d^4))/(a^2*d^5) + (16*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) - (16*(4*a*b^10*d^2 - 20*a^3*b^8*d^2)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (16*(2*b^11*d^2 + 8*a^2*b^9*d^2))/(a^2*d^5)) - (16*(b^10 - 2*a^2*b^8)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + (32*b^9)/(a*d^5)))*(-(a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i + (log(- ((-1/(d^2*(a - b*1i)))^(1/2)*(((-1/(d^2*(a - b*1i)))^(1/2)*(((-1/(d^2*(a - b*1i)))^(1/2)*(((-1/(d^2*(a - b*1i)))^(1/2)*(128*b^8*(-1/(d^2*(a - b*1i)))^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2) + (128*b^9*(a^2 + 2*b^2))/(a*d)))/2 + (64*b^8*(5*a^2 - b^2)*(a + b*tan(c + d*x))^(1/2))/(a*d^2)))/2 + (32*b^9*(4*a^2 + b^2))/(a^2*d^3)))/2 - (16*(b^10 - 2*a^2*b^8)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4)))/2 - (16*b^9)/(a*d^5))*(-1/(a*d^2 - b*d^2*1i))^(1/2))/2 - log(((-1/(d^2*(a - b*1i)))^(1/2)*(((-1/(d^2*(a - b*1i)))^(1/2)*(((-1/(d^2*(a - b*1i)))^(1/2)*(((-1/(d^2*(a - b*1i)))^(1/2)*(128*b^8*(-1/(d^2*(a - b*1i)))^(1/2)*(3*a^2 + 2*b^2)*(a + b*tan(c + d*x))^(1/2) - (128*b^9*(a^2 + 2*b^2))/(a*d)))/2 + (64*b^8*(5*a^2 - b^2)*(a + b*tan(c + d*x))^(1/2))/(a*d^2)))/2 - (32*b^9*(4*a^2 + b^2))/(a^2*d^3)))/2 - (16*(b^10 - 2*a^2*b^8)*(a + b*tan(c + d*x))^(1/2))/(a^2*d^4)))/2 - (16*b^9)/(a*d^5))*(-1/(4*(a*d^2 - b*d^2*1i)))^(1/2) + (b*(a + b*tan(c + d*x))^(1/2))/(a*(a*d - d*(a + b*tan(c + d*x)))) - (b*atan((b^11*(a + b*tan(c + d*x))^(1/2)*64i)/((a^3)^(1/2)*(32*a*b^9 + (64*b^11)/a + (32*b^13)/a^3 + (32*b^15)/a^5)) + (b^13*(a + b*tan(c + d*x))^(1/2)*32i)/((a^3)^(1/2)*(64*a*b^11 + 32*a^3*b^9 + (32*b^13)/a + (32*b^15)/a^3)) + (b^15*(a + b*tan(c + d*x))^(1/2)*32i)/((a^3)^(1/2)*(32*a*b^13 + 64*a^3*b^11 + 32*a^5*b^9 + (32*b^15)/a)) + (b^9*(a + b*tan(c + d*x))^(1/2)*32i)/((a^3)^(1/2)*((32*b^9)/a + (64*b^11)/a^3 + (32*b^13)/a^5 + (32*b^15)/a^7)))*1i)/(d*(a^3)^(1/2))","B"
536,1,3399,194,0.587304,"\text{Not used}","int(cot(c + d*x)^3/(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atan}\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{2\,a^4\,d^5}-\frac{\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\left(\frac{\left(\frac{\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{2\,a^4\,d^5}+\frac{\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\left(\frac{\left(\frac{\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{2\,a^4\,d^5}-\frac{\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}+\left(\frac{\left(\frac{\left(\frac{\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{2\,a^4\,d^5}+\frac{\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{2\,a^4\,d^4}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}-\frac{9\,b^{12}-24\,a^2\,b^{10}}{a^4\,d^5}}\right)\,\sqrt{\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{a^4\,d^5}+\frac{\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^4\,d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{a^4\,d^4}\right)+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{a^4\,d^5}\right)+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{a^4\,d^4}\right)\,1{}\mathrm{i}-\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{a^4\,d^5}-\frac{\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^4\,d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{a^4\,d^4}\right)+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{a^4\,d^5}\right)-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{a^4\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{a^4\,d^5}+\frac{\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^4\,d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{a^4\,d^4}\right)+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{a^4\,d^5}\right)+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{a^4\,d^4}\right)+\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\left(\frac{384\,a^6\,b^8\,d^4+320\,a^4\,b^{10}\,d^4-192\,a^2\,b^{12}\,d^4}{a^4\,d^5}-\frac{\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(768\,a^6\,b^8\,d^4+512\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^4\,d^4}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^5\,b^8\,d^2-192\,a^3\,b^{10}\,d^2+36\,a\,b^{12}\,d^2\right)}{a^4\,d^4}\right)+\frac{18\,a\,b^{12}\,d^2-96\,a^5\,b^8\,d^2}{a^4\,d^5}\right)-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^4\,b^8-48\,a^2\,b^{10}+9\,b^{12}\right)}{a^4\,d^4}\right)-\frac{9\,b^{12}-24\,a^2\,b^{10}}{a^4\,d^5}}\right)\,\sqrt{\frac{a-b\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}-\frac{\frac{5\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4\,a}-\frac{3\,b^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{4\,a^2}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2+a^2\,d-2\,a\,d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\mathrm{atan}\left(-\frac{b^{14}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,927{}\mathrm{i}}{\sqrt{a^5}\,\left(696\,b^{12}+344\,a^2\,b^{10}-576\,a^4\,b^8-\frac{927\,b^{14}}{a^2}+\frac{1755\,b^{16}}{4\,a^4}-\frac{2997\,b^{18}}{32\,a^6}+\frac{243\,b^{20}}{32\,a^8}\right)}+\frac{b^{16}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1755{}\mathrm{i}}{4\,\sqrt{a^5}\,\left(696\,a^2\,b^{12}-927\,b^{14}+344\,a^4\,b^{10}-576\,a^6\,b^8+\frac{1755\,b^{16}}{4\,a^2}-\frac{2997\,b^{18}}{32\,a^4}+\frac{243\,b^{20}}{32\,a^6}\right)}+\frac{b^{12}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,696{}\mathrm{i}}{\sqrt{a^5}\,\left(344\,b^{10}-576\,a^2\,b^8+\frac{696\,b^{12}}{a^2}-\frac{927\,b^{14}}{a^4}+\frac{1755\,b^{16}}{4\,a^6}-\frac{2997\,b^{18}}{32\,a^8}+\frac{243\,b^{20}}{32\,a^{10}}\right)}-\frac{b^{18}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2997{}\mathrm{i}}{32\,\sqrt{a^5}\,\left(\frac{1755\,b^{16}}{4}-927\,a^2\,b^{14}+696\,a^4\,b^{12}+344\,a^6\,b^{10}-576\,a^8\,b^8-\frac{2997\,b^{18}}{32\,a^2}+\frac{243\,b^{20}}{32\,a^4}\right)}+\frac{b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,344{}\mathrm{i}}{\sqrt{a^5}\,\left(\frac{344\,b^{10}}{a^2}-576\,b^8+\frac{696\,b^{12}}{a^4}-\frac{927\,b^{14}}{a^6}+\frac{1755\,b^{16}}{4\,a^8}-\frac{2997\,b^{18}}{32\,a^{10}}+\frac{243\,b^{20}}{32\,a^{12}}\right)}+\frac{b^{20}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,243{}\mathrm{i}}{32\,\sqrt{a^5}\,\left(\frac{1755\,a^2\,b^{16}}{4}-\frac{2997\,b^{18}}{32}-927\,a^4\,b^{14}+696\,a^6\,b^{12}+344\,a^8\,b^{10}-576\,a^{10}\,b^8+\frac{243\,b^{20}}{32\,a^2}\right)}-\frac{a^2\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,576{}\mathrm{i}}{\sqrt{a^5}\,\left(\frac{344\,b^{10}}{a^2}-576\,b^8+\frac{696\,b^{12}}{a^4}-\frac{927\,b^{14}}{a^6}+\frac{1755\,b^{16}}{4\,a^8}-\frac{2997\,b^{18}}{32\,a^{10}}+\frac{243\,b^{20}}{32\,a^{12}}\right)}\right)\,\left(a^2-\frac{3\,b^2}{8}\right)\,2{}\mathrm{i}}{d\,\sqrt{a^5}}","Not used",1,"atan((((((((((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(2*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(4*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(2*a^4*d^5))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i - ((((((((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(2*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(4*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(2*a^4*d^5))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i)/(((((((((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(2*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(4*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(2*a^4*d^5))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2) + ((((((((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(2*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(1/(a*d^2 - b*d^2*1i))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(4*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 - ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(2*a^4*d^5))*(1/(a*d^2 - b*d^2*1i))^(1/2))/2 + ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(2*a^4*d^4))*(1/(a*d^2 - b*d^2*1i))^(1/2) - (9*b^12 - 24*a^2*b^10)/(a^4*d^5)))*(1/(a*d^2 - b*d^2*1i))^(1/2)*1i - atan((((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(a^4*d^5) + (((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^4*d^4))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(a^4*d^4)) + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(a^4*d^5)) + ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(a^4*d^4))*1i - ((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(a^4*d^5) - (((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^4*d^4))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(a^4*d^4)) + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(a^4*d^5)) - ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(a^4*d^4))*1i)/(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(a^4*d^5) + (((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^4*d^4))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(a^4*d^4)) + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(a^4*d^5)) + ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(a^4*d^4)) + ((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(((320*a^4*b^10*d^4 - 192*a^2*b^12*d^4 + 384*a^6*b^8*d^4)/(a^4*d^5) - (((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*(512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^4*d^4))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(36*a*b^12*d^2 - 192*a^3*b^10*d^2 + 576*a^5*b^8*d^2))/(a^4*d^4)) + (18*a*b^12*d^2 - 96*a^5*b^8*d^2)/(a^4*d^5)) - ((a + b*tan(c + d*x))^(1/2)*(9*b^12 - 48*a^2*b^10 + 96*a^4*b^8))/(a^4*d^4)) - (9*b^12 - 24*a^2*b^10)/(a^4*d^5)))*((a - b*1i)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i - ((5*b^2*(a + b*tan(c + d*x))^(1/2))/(4*a) - (3*b^2*(a + b*tan(c + d*x))^(3/2))/(4*a^2))/(d*(a + b*tan(c + d*x))^2 + a^2*d - 2*a*d*(a + b*tan(c + d*x))) - (atan((b^16*(a + b*tan(c + d*x))^(1/2)*1755i)/(4*(a^5)^(1/2)*(696*a^2*b^12 - 927*b^14 + 344*a^4*b^10 - 576*a^6*b^8 + (1755*b^16)/(4*a^2) - (2997*b^18)/(32*a^4) + (243*b^20)/(32*a^6))) - (b^14*(a + b*tan(c + d*x))^(1/2)*927i)/((a^5)^(1/2)*(696*b^12 + 344*a^2*b^10 - 576*a^4*b^8 - (927*b^14)/a^2 + (1755*b^16)/(4*a^4) - (2997*b^18)/(32*a^6) + (243*b^20)/(32*a^8))) + (b^12*(a + b*tan(c + d*x))^(1/2)*696i)/((a^5)^(1/2)*(344*b^10 - 576*a^2*b^8 + (696*b^12)/a^2 - (927*b^14)/a^4 + (1755*b^16)/(4*a^6) - (2997*b^18)/(32*a^8) + (243*b^20)/(32*a^10))) - (b^18*(a + b*tan(c + d*x))^(1/2)*2997i)/(32*(a^5)^(1/2)*((1755*b^16)/4 - 927*a^2*b^14 + 696*a^4*b^12 + 344*a^6*b^10 - 576*a^8*b^8 - (2997*b^18)/(32*a^2) + (243*b^20)/(32*a^4))) + (b^10*(a + b*tan(c + d*x))^(1/2)*344i)/((a^5)^(1/2)*((344*b^10)/a^2 - 576*b^8 + (696*b^12)/a^4 - (927*b^14)/a^6 + (1755*b^16)/(4*a^8) - (2997*b^18)/(32*a^10) + (243*b^20)/(32*a^12))) + (b^20*(a + b*tan(c + d*x))^(1/2)*243i)/(32*(a^5)^(1/2)*((1755*a^2*b^16)/4 - (2997*b^18)/32 - 927*a^4*b^14 + 696*a^6*b^12 + 344*a^8*b^10 - 576*a^10*b^8 + (243*b^20)/(32*a^2))) - (a^2*b^8*(a + b*tan(c + d*x))^(1/2)*576i)/((a^5)^(1/2)*((344*b^10)/a^2 - 576*b^8 + (696*b^12)/a^4 - (927*b^14)/a^6 + (1755*b^16)/(4*a^8) - (2997*b^18)/(32*a^10) + (243*b^20)/(32*a^12))))*(a^2 - (3*b^2)/8)*2i)/(d*(a^5)^(1/2))","B"
537,1,2930,282,14.852760,"\text{Not used}","int(tan(c + d*x)^5/(a + b*tan(c + d*x))^(3/2),x)","\left(\frac{8\,a^2}{b^4\,d}-\frac{2\,\left(a^2+b^2\right)}{b^4\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^4\,d}-\frac{2\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{b^4\,d}+\frac{2\,a^5}{b^4\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a^6\,b^6\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)-96\,a^2\,b^{10}\,d^4-64\,a^4\,b^8\,d^4-32\,b^{12}\,d^4+96\,a^8\,b^4\,d^4+32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(32\,b^{12}\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+96\,a^2\,b^{10}\,d^4+64\,a^4\,b^8\,d^4-64\,a^6\,b^6\,d^4-96\,a^8\,b^4\,d^4-32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}}{16\,a\,b^8\,d^2+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(32\,b^{12}\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+96\,a^2\,b^{10}\,d^4+64\,a^4\,b^8\,d^4-64\,a^6\,b^6\,d^4-96\,a^8\,b^4\,d^4-32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}-\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a^6\,b^6\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)-96\,a^2\,b^{10}\,d^4-64\,a^4\,b^8\,d^4-32\,b^{12}\,d^4+96\,a^8\,b^4\,d^4+32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}+48\,a^3\,b^6\,d^2+48\,a^5\,b^4\,d^2+16\,a^7\,b^2\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(32\,a^6\,b^6\,d^4-48\,a^2\,b^{10}\,d^4-32\,a^4\,b^8\,d^4-16\,b^{12}\,d^4+48\,a^8\,b^4\,d^4+16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)\,1{}\mathrm{i}+\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(16\,b^{12}\,d^4+48\,a^2\,b^{10}\,d^4+32\,a^4\,b^8\,d^4-32\,a^6\,b^6\,d^4-48\,a^8\,b^4\,d^4-16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)\,1{}\mathrm{i}}{16\,a\,b^8\,d^2+\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(16\,b^{12}\,d^4+48\,a^2\,b^{10}\,d^4+32\,a^4\,b^8\,d^4-32\,a^6\,b^6\,d^4-48\,a^8\,b^4\,d^4-16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)-\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(32\,a^6\,b^6\,d^4-48\,a^2\,b^{10}\,d^4-32\,a^4\,b^8\,d^4-16\,b^{12}\,d^4+48\,a^8\,b^4\,d^4+16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)+48\,a^3\,b^6\,d^2+48\,a^5\,b^4\,d^2+16\,a^7\,b^2\,d^2}\right)\,\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"((8*a^2)/(b^4*d) - (2*(a^2 + b^2))/(b^4*d))*(a + b*tan(c + d*x))^(1/2) - atan(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(32*a^6*b^6*d^4 - 48*a^2*b^10*d^4 - 32*a^4*b^8*d^4 - 16*b^12*d^4 + 48*a^8*b^4*d^4 + 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2)*1i + (1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(16*b^12*d^4 + 48*a^2*b^10*d^4 + 32*a^4*b^8*d^4 - 32*a^6*b^6*d^4 - 48*a^8*b^4*d^4 - 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2)*1i)/((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(16*b^12*d^4 + 48*a^2*b^10*d^4 + 32*a^4*b^8*d^4 - 32*a^6*b^6*d^4 - 48*a^8*b^4*d^4 - 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2) - (1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(32*a^6*b^6*d^4 - 48*a^2*b^10*d^4 - 32*a^4*b^8*d^4 - 16*b^12*d^4 + 48*a^8*b^4*d^4 + 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2) + 16*a*b^8*d^2 + 48*a^3*b^6*d^2 + 48*a^5*b^4*d^2 + 16*a^7*b^2*d^2))*(1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*1i - atan((((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) - 32*b^12*d^4 - 96*a^2*b^10*d^4 - 64*a^4*b^8*d^4 + 64*a^6*b^6*d^4 + 96*a^8*b^4*d^4 + 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i + ((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(32*b^12*d^4 + (1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 96*a^2*b^10*d^4 + 64*a^4*b^8*d^4 - 64*a^6*b^6*d^4 - 96*a^8*b^4*d^4 - 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i)/(((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(32*b^12*d^4 + (1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 96*a^2*b^10*d^4 + 64*a^4*b^8*d^4 - 64*a^6*b^6*d^4 - 96*a^8*b^4*d^4 - 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) - ((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) - 32*b^12*d^4 - 96*a^2*b^10*d^4 - 64*a^4*b^8*d^4 + 64*a^6*b^6*d^4 + 96*a^8*b^4*d^4 + 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) + 16*a*b^8*d^2 + 48*a^3*b^6*d^2 + 48*a^5*b^4*d^2 + 16*a^7*b^2*d^2))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(5/2))/(5*b^4*d) - (2*a*(a + b*tan(c + d*x))^(3/2))/(b^4*d) + (2*a^5)/(b^4*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
538,1,2282,226,8.304051,"\text{Not used}","int(tan(c + d*x)^4/(a + b*tan(c + d*x))^(3/2),x)","\frac{\ln\left(8\,b^9\,d^2-\frac{\left(\frac{\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(64\,a\,b^{11}\,d^4+\frac{\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{2}+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)}{2}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}}{2}+24\,a^2\,b^7\,d^2+24\,a^4\,b^5\,d^2+8\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(8\,b^9\,d^2-\left(\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}+24\,a^2\,b^7\,d^2+24\,a^4\,b^5\,d^2+8\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}+\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^3\,d}-\frac{4\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}-\frac{2\,a^4}{b^3\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}}{16\,b^9\,d^2-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}+48\,a^2\,b^7\,d^2+48\,a^4\,b^5\,d^2+16\,a^6\,b^3\,d^2}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(log(8*b^9*d^2 - ((((-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(64*a*b^11*d^4 + ((-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/2 + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4))/2 - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2))/2 + 24*a^2*b^7*d^2 + 24*a^4*b^5*d^2 + 8*a^6*b^3*d^2)*(-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2))/2 - log(8*b^9*d^2 - ((-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2)*(64*a*b^11*d^4 - (-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2) + 24*a^2*b^7*d^2 + 24*a^4*b^5*d^2 + 8*a^6*b^3*d^2)*(-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2) + atan((((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 + (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 - (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i)/(16*b^9*d^2 - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 - (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 + (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) + 48*a^2*b^7*d^2 + 48*a^4*b^5*d^2 + 16*a^6*b^3*d^2))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(3/2))/(3*b^3*d) - (4*a*(a + b*tan(c + d*x))^(1/2))/(b^3*d) - (2*a^4)/(b^3*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
539,1,2869,165,6.023950,"\text{Not used}","int(tan(c + d*x)^3/(a + b*tan(c + d*x))^(3/2),x)","\frac{2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}+\frac{2\,a^3}{b^2\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\mathrm{atan}\left(\frac{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a^6\,b^6\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)-96\,a^2\,b^{10}\,d^4-64\,a^4\,b^8\,d^4-32\,b^{12}\,d^4+96\,a^8\,b^4\,d^4+32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(32\,b^{12}\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+96\,a^2\,b^{10}\,d^4+64\,a^4\,b^8\,d^4-64\,a^6\,b^6\,d^4-96\,a^8\,b^4\,d^4-32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}}{16\,a\,b^8\,d^2+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(32\,b^{12}\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+96\,a^2\,b^{10}\,d^4+64\,a^4\,b^8\,d^4-64\,a^6\,b^6\,d^4-96\,a^8\,b^4\,d^4-32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}-\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a^6\,b^6\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)-96\,a^2\,b^{10}\,d^4-64\,a^4\,b^8\,d^4-32\,b^{12}\,d^4+96\,a^8\,b^4\,d^4+32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}+48\,a^3\,b^6\,d^2+48\,a^5\,b^4\,d^2+16\,a^7\,b^2\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(32\,a^6\,b^6\,d^4-48\,a^2\,b^{10}\,d^4-32\,a^4\,b^8\,d^4-16\,b^{12}\,d^4+48\,a^8\,b^4\,d^4+16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)\,1{}\mathrm{i}+\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(16\,b^{12}\,d^4+48\,a^2\,b^{10}\,d^4+32\,a^4\,b^8\,d^4-32\,a^6\,b^6\,d^4-48\,a^8\,b^4\,d^4-16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)\,1{}\mathrm{i}}{16\,a\,b^8\,d^2+\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(16\,b^{12}\,d^4+48\,a^2\,b^{10}\,d^4+32\,a^4\,b^8\,d^4-32\,a^6\,b^6\,d^4-48\,a^8\,b^4\,d^4-16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)-\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(32\,a^6\,b^6\,d^4-48\,a^2\,b^{10}\,d^4-32\,a^4\,b^8\,d^4-16\,b^{12}\,d^4+48\,a^8\,b^4\,d^4+16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)+48\,a^3\,b^6\,d^2+48\,a^5\,b^4\,d^2+16\,a^7\,b^2\,d^2}\right)\,\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"atan((((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) - 32*b^12*d^4 - 96*a^2*b^10*d^4 - 64*a^4*b^8*d^4 + 64*a^6*b^6*d^4 + 96*a^8*b^4*d^4 + 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i + ((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(32*b^12*d^4 + (1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 96*a^2*b^10*d^4 + 64*a^4*b^8*d^4 - 64*a^6*b^6*d^4 - 96*a^8*b^4*d^4 - 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i)/(((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(32*b^12*d^4 + (1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 96*a^2*b^10*d^4 + 64*a^4*b^8*d^4 - 64*a^6*b^6*d^4 - 96*a^8*b^4*d^4 - 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) - ((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) - 32*b^12*d^4 - 96*a^2*b^10*d^4 - 64*a^4*b^8*d^4 + 64*a^6*b^6*d^4 + 96*a^8*b^4*d^4 + 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) + 16*a*b^8*d^2 + 48*a^3*b^6*d^2 + 48*a^5*b^4*d^2 + 16*a^7*b^2*d^2))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*2i + atan(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(32*a^6*b^6*d^4 - 48*a^2*b^10*d^4 - 32*a^4*b^8*d^4 - 16*b^12*d^4 + 48*a^8*b^4*d^4 + 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2)*1i + (1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(16*b^12*d^4 + 48*a^2*b^10*d^4 + 32*a^4*b^8*d^4 - 32*a^6*b^6*d^4 - 48*a^8*b^4*d^4 - 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2)*1i)/((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(16*b^12*d^4 + 48*a^2*b^10*d^4 + 32*a^4*b^8*d^4 - 32*a^6*b^6*d^4 - 48*a^8*b^4*d^4 - 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2) - (1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(32*a^6*b^6*d^4 - 48*a^2*b^10*d^4 - 32*a^4*b^8*d^4 - 16*b^12*d^4 + 48*a^8*b^4*d^4 + 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2) + 16*a*b^8*d^2 + 48*a^3*b^6*d^2 + 48*a^5*b^4*d^2 + 16*a^7*b^2*d^2))*(1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*1i + (2*(a + b*tan(c + d*x))^(1/2))/(b^2*d) + (2*a^3)/(b^2*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
540,1,2239,125,5.632931,"\text{Not used}","int(tan(c + d*x)^2/(a + b*tan(c + d*x))^(3/2),x)","\frac{\ln\left(\frac{\left(\frac{\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(64\,a\,b^{11}\,d^4-\frac{\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{2}+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)}{2}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}}{2}-8\,b^9\,d^2-24\,a^2\,b^7\,d^2-24\,a^4\,b^5\,d^2-8\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\left(\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}\,\left(64\,a\,b^{11}\,d^4+\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}-8\,b^9\,d^2-24\,a^2\,b^7\,d^2-24\,a^4\,b^5\,d^2-8\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}-\frac{2\,a^2}{b\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}}{16\,b^9\,d^2-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}+48\,a^2\,b^7\,d^2+48\,a^4\,b^5\,d^2+16\,a^6\,b^3\,d^2}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(log(((((-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(64*a*b^11*d^4 - ((-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/2 + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4))/2 + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2))/2 - 8*b^9*d^2 - 24*a^2*b^7*d^2 - 24*a^4*b^5*d^2 - 8*a^6*b^3*d^2)*(-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2))/2 - log(((-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2)*(64*a*b^11*d^4 + (-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2) - 8*b^9*d^2 - 24*a^2*b^7*d^2 - 24*a^4*b^5*d^2 - 8*a^6*b^3*d^2)*(-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2) - atan((((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 + (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 - (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i)/(16*b^9*d^2 - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 - (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 + (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) + 48*a^2*b^7*d^2 + 48*a^4*b^5*d^2 + 16*a^6*b^3*d^2))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*2i - (2*a^2)/(b*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
541,1,2844,116,6.304580,"\text{Not used}","int(tan(c + d*x)/(a + b*tan(c + d*x))^(3/2),x)","\frac{2\,a}{d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a^6\,b^6\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)-96\,a^2\,b^{10}\,d^4-64\,a^4\,b^8\,d^4-32\,b^{12}\,d^4+96\,a^8\,b^4\,d^4+32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(32\,b^{12}\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+96\,a^2\,b^{10}\,d^4+64\,a^4\,b^8\,d^4-64\,a^6\,b^6\,d^4-96\,a^8\,b^4\,d^4-32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}}{16\,a\,b^8\,d^2+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(32\,b^{12}\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+96\,a^2\,b^{10}\,d^4+64\,a^4\,b^8\,d^4-64\,a^6\,b^6\,d^4-96\,a^8\,b^4\,d^4-32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}-\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a^6\,b^6\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)-96\,a^2\,b^{10}\,d^4-64\,a^4\,b^8\,d^4-32\,b^{12}\,d^4+96\,a^8\,b^4\,d^4+32\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}+48\,a^3\,b^6\,d^2+48\,a^5\,b^4\,d^2+16\,a^7\,b^2\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(32\,a^6\,b^6\,d^4-48\,a^2\,b^{10}\,d^4-32\,a^4\,b^8\,d^4-16\,b^{12}\,d^4+48\,a^8\,b^4\,d^4+16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)\,1{}\mathrm{i}+\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(16\,b^{12}\,d^4+48\,a^2\,b^{10}\,d^4+32\,a^4\,b^8\,d^4-32\,a^6\,b^6\,d^4-48\,a^8\,b^4\,d^4-16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)\,1{}\mathrm{i}}{16\,a\,b^8\,d^2+\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(16\,b^{12}\,d^4+48\,a^2\,b^{10}\,d^4+32\,a^4\,b^8\,d^4-32\,a^6\,b^6\,d^4-48\,a^8\,b^4\,d^4-16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)-\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(32\,a^6\,b^6\,d^4-48\,a^2\,b^{10}\,d^4-32\,a^4\,b^8\,d^4-16\,b^{12}\,d^4+48\,a^8\,b^4\,d^4+16\,a^{10}\,b^2\,d^4+\frac{\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{4}\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)}{2}\right)+48\,a^3\,b^6\,d^2+48\,a^5\,b^4\,d^2+16\,a^7\,b^2\,d^2}\right)\,\sqrt{\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"(2*a)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2)) - atan(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(32*a^6*b^6*d^4 - 48*a^2*b^10*d^4 - 32*a^4*b^8*d^4 - 16*b^12*d^4 + 48*a^8*b^4*d^4 + 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2)*1i + (1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(16*b^12*d^4 + 48*a^2*b^10*d^4 + 32*a^4*b^8*d^4 - 32*a^6*b^6*d^4 - 48*a^8*b^4*d^4 - 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2)*1i)/((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(16*b^12*d^4 + 48*a^2*b^10*d^4 + 32*a^4*b^8*d^4 - 32*a^6*b^6*d^4 - 48*a^8*b^4*d^4 - 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2) - (1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(32*a^6*b^6*d^4 - 48*a^2*b^10*d^4 - 32*a^4*b^8*d^4 - 16*b^12*d^4 + 48*a^8*b^4*d^4 + 16*a^10*b^2*d^4 + ((1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/4))/2 + ((a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))/2) + 16*a*b^8*d^2 + 48*a^3*b^6*d^2 + 48*a^5*b^4*d^2 + 16*a^7*b^2*d^2))*(1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*1i - atan((((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) - 32*b^12*d^4 - 96*a^2*b^10*d^4 - 64*a^4*b^8*d^4 + 64*a^6*b^6*d^4 + 96*a^8*b^4*d^4 + 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i + ((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(32*b^12*d^4 + (1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 96*a^2*b^10*d^4 + 64*a^4*b^8*d^4 - 64*a^6*b^6*d^4 - 96*a^8*b^4*d^4 - 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i)/(((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(32*b^12*d^4 + (1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 96*a^2*b^10*d^4 + 64*a^4*b^8*d^4 - 64*a^6*b^6*d^4 - 96*a^8*b^4*d^4 - 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) - ((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*((1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) - 32*b^12*d^4 - 96*a^2*b^10*d^4 - 64*a^4*b^8*d^4 + 64*a^6*b^6*d^4 + 96*a^8*b^4*d^4 + 32*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) + 16*a*b^8*d^2 + 48*a^3*b^6*d^2 + 48*a^5*b^4*d^2 + 16*a^7*b^2*d^2))*(1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*2i","B"
542,1,2236,120,5.919951,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(3/2),x)","\frac{\ln\left(8\,b^9\,d^2-\frac{\left(\frac{\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\left(64\,a\,b^{11}\,d^4+\frac{\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)}{2}+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)}{2}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}}{2}+24\,a^2\,b^7\,d^2+24\,a^4\,b^5\,d^2+8\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{1}{a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(8\,b^9\,d^2-\left(\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}+24\,a^2\,b^7\,d^2+24\,a^4\,b^5\,d^2+8\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{1}{4\,\left(a^3\,d^2-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,d^2+b^3\,d^2\,1{}\mathrm{i}\right)}}-\frac{2\,b}{d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,1{}\mathrm{i}}{16\,b^9\,d^2-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\left(64\,a\,b^{11}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{11}\,b^2\,d^5+320\,a^9\,b^4\,d^5+640\,a^7\,b^6\,d^5+640\,a^5\,b^8\,d^5+320\,a^3\,b^{10}\,d^5+64\,a\,b^{12}\,d^5\right)+256\,a^3\,b^9\,d^4+384\,a^5\,b^7\,d^4+256\,a^7\,b^5\,d^4+64\,a^9\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^2\,d^3-32\,a^6\,b^4\,d^3+32\,a^2\,b^8\,d^3+16\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}+48\,a^2\,b^7\,d^2+48\,a^4\,b^5\,d^2+16\,a^6\,b^3\,d^2}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^3\,d^2\,1{}\mathrm{i}-3\,a^2\,b\,d^2-a\,b^2\,d^2\,3{}\mathrm{i}+b^3\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(log(8*b^9*d^2 - ((((-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(64*a*b^11*d^4 + ((-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5))/2 + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4))/2 - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2))/2 + 24*a^2*b^7*d^2 + 24*a^4*b^5*d^2 + 8*a^6*b^3*d^2)*(-1/(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i))^(1/2))/2 - log(8*b^9*d^2 - ((-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2)*(64*a*b^11*d^4 - (-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2) + 24*a^2*b^7*d^2 + 24*a^4*b^5*d^2 + 8*a^6*b^3*d^2)*(-1/(4*(a^3*d^2 + b^3*d^2*1i - 3*a*b^2*d^2 - a^2*b*d^2*3i)))^(1/2) + atan((((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 + (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 - (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*1i)/(16*b^9*d^2 - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 - (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) - ((-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(64*a*b^11*d^4 + (-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^12*d^5 + 320*a^3*b^10*d^5 + 640*a^5*b^8*d^5 + 640*a^7*b^6*d^5 + 320*a^9*b^4*d^5 + 64*a^11*b^2*d^5) + 256*a^3*b^9*d^4 + 384*a^5*b^7*d^4 + 256*a^7*b^5*d^4 + 64*a^9*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(16*b^10*d^3 + 32*a^2*b^8*d^3 - 32*a^6*b^4*d^3 - 16*a^8*b^2*d^3))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2) + 48*a^2*b^7*d^2 + 48*a^4*b^5*d^2 + 16*a^6*b^3*d^2))*(-1i/(4*(a^3*d^2*1i + b^3*d^2 - a*b^2*d^2*3i - 3*a^2*b*d^2)))^(1/2)*2i - (2*b)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
543,1,6384,150,4.437192,"\text{Not used}","int(cot(c + d*x)/(a + b*tan(c + d*x))^(3/2),x)","\ln\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(512\,a^8\,b^{28}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(768\,a^{29}\,b^8\,d^9+7424\,a^{27}\,b^{10}\,d^9+32256\,a^{25}\,b^{12}\,d^9+82944\,a^{23}\,b^{14}\,d^9+139776\,a^{21}\,b^{16}\,d^9+161280\,a^{19}\,b^{18}\,d^9+129024\,a^{17}\,b^{20}\,d^9+70656\,a^{15}\,b^{22}\,d^9+25344\,a^{13}\,b^{24}\,d^9+5376\,a^{11}\,b^{26}\,d^9+512\,a^9\,b^{28}\,d^9\right)+5248\,a^{10}\,b^{26}\,d^8+23936\,a^{12}\,b^{24}\,d^8+64000\,a^{14}\,b^{22}\,d^8+111104\,a^{16}\,b^{20}\,d^8+130816\,a^{18}\,b^{18}\,d^8+105728\,a^{20}\,b^{16}\,d^8+57856\,a^{22}\,b^{14}\,d^8+20480\,a^{24}\,b^{12}\,d^8+4224\,a^{26}\,b^{10}\,d^8+384\,a^{28}\,b^8\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{26}\,b^8\,d^7+3712\,a^{24}\,b^{10}\,d^7+10112\,a^{22}\,b^{12}\,d^7+15232\,a^{20}\,b^{14}\,d^7+14336\,a^{18}\,b^{16}\,d^7+9856\,a^{16}\,b^{18}\,d^7+6272\,a^{14}\,b^{20}\,d^7+3712\,a^{12}\,b^{22}\,d^7+1472\,a^{10}\,b^{24}\,d^7+256\,a^8\,b^{26}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-128\,a^7\,b^{26}\,d^6-128\,a^9\,b^{24}\,d^6+2592\,a^{11}\,b^{22}\,d^6+10976\,a^{13}\,b^{20}\,d^6+20384\,a^{15}\,b^{18}\,d^6+20832\,a^{17}\,b^{16}\,d^6+11872\,a^{19}\,b^{14}\,d^6+3232\,a^{21}\,b^{12}\,d^6+96\,a^{23}\,b^{10}\,d^6-96\,a^{25}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{23}\,b^8\,d^5+608\,a^{21}\,b^{10}\,d^5+1568\,a^{19}\,b^{12}\,d^5+2016\,a^{17}\,b^{14}\,d^5+1120\,a^{15}\,b^{16}\,d^5-224\,a^{13}\,b^{18}\,d^5-672\,a^{11}\,b^{20}\,d^5-352\,a^9\,b^{22}\,d^5-64\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+\ln\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(512\,a^8\,b^{28}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(768\,a^{29}\,b^8\,d^9+7424\,a^{27}\,b^{10}\,d^9+32256\,a^{25}\,b^{12}\,d^9+82944\,a^{23}\,b^{14}\,d^9+139776\,a^{21}\,b^{16}\,d^9+161280\,a^{19}\,b^{18}\,d^9+129024\,a^{17}\,b^{20}\,d^9+70656\,a^{15}\,b^{22}\,d^9+25344\,a^{13}\,b^{24}\,d^9+5376\,a^{11}\,b^{26}\,d^9+512\,a^9\,b^{28}\,d^9\right)+5248\,a^{10}\,b^{26}\,d^8+23936\,a^{12}\,b^{24}\,d^8+64000\,a^{14}\,b^{22}\,d^8+111104\,a^{16}\,b^{20}\,d^8+130816\,a^{18}\,b^{18}\,d^8+105728\,a^{20}\,b^{16}\,d^8+57856\,a^{22}\,b^{14}\,d^8+20480\,a^{24}\,b^{12}\,d^8+4224\,a^{26}\,b^{10}\,d^8+384\,a^{28}\,b^8\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{26}\,b^8\,d^7+3712\,a^{24}\,b^{10}\,d^7+10112\,a^{22}\,b^{12}\,d^7+15232\,a^{20}\,b^{14}\,d^7+14336\,a^{18}\,b^{16}\,d^7+9856\,a^{16}\,b^{18}\,d^7+6272\,a^{14}\,b^{20}\,d^7+3712\,a^{12}\,b^{22}\,d^7+1472\,a^{10}\,b^{24}\,d^7+256\,a^8\,b^{26}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-128\,a^7\,b^{26}\,d^6-128\,a^9\,b^{24}\,d^6+2592\,a^{11}\,b^{22}\,d^6+10976\,a^{13}\,b^{20}\,d^6+20384\,a^{15}\,b^{18}\,d^6+20832\,a^{17}\,b^{16}\,d^6+11872\,a^{19}\,b^{14}\,d^6+3232\,a^{21}\,b^{12}\,d^6+96\,a^{23}\,b^{10}\,d^6-96\,a^{25}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{23}\,b^8\,d^5+608\,a^{21}\,b^{10}\,d^5+1568\,a^{19}\,b^{12}\,d^5+2016\,a^{17}\,b^{14}\,d^5+1120\,a^{15}\,b^{16}\,d^5-224\,a^{13}\,b^{18}\,d^5-672\,a^{11}\,b^{20}\,d^5-352\,a^9\,b^{22}\,d^5-64\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-\ln\left(\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{29}\,b^8\,d^9+7424\,a^{27}\,b^{10}\,d^9+32256\,a^{25}\,b^{12}\,d^9+82944\,a^{23}\,b^{14}\,d^9+139776\,a^{21}\,b^{16}\,d^9+161280\,a^{19}\,b^{18}\,d^9+129024\,a^{17}\,b^{20}\,d^9+70656\,a^{15}\,b^{22}\,d^9+25344\,a^{13}\,b^{24}\,d^9+5376\,a^{11}\,b^{26}\,d^9+512\,a^9\,b^{28}\,d^9\right)+512\,a^8\,b^{28}\,d^8+5248\,a^{10}\,b^{26}\,d^8+23936\,a^{12}\,b^{24}\,d^8+64000\,a^{14}\,b^{22}\,d^8+111104\,a^{16}\,b^{20}\,d^8+130816\,a^{18}\,b^{18}\,d^8+105728\,a^{20}\,b^{16}\,d^8+57856\,a^{22}\,b^{14}\,d^8+20480\,a^{24}\,b^{12}\,d^8+4224\,a^{26}\,b^{10}\,d^8+384\,a^{28}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{26}\,b^8\,d^7+3712\,a^{24}\,b^{10}\,d^7+10112\,a^{22}\,b^{12}\,d^7+15232\,a^{20}\,b^{14}\,d^7+14336\,a^{18}\,b^{16}\,d^7+9856\,a^{16}\,b^{18}\,d^7+6272\,a^{14}\,b^{20}\,d^7+3712\,a^{12}\,b^{22}\,d^7+1472\,a^{10}\,b^{24}\,d^7+256\,a^8\,b^{26}\,d^7\right)\right)-128\,a^7\,b^{26}\,d^6-128\,a^9\,b^{24}\,d^6+2592\,a^{11}\,b^{22}\,d^6+10976\,a^{13}\,b^{20}\,d^6+20384\,a^{15}\,b^{18}\,d^6+20832\,a^{17}\,b^{16}\,d^6+11872\,a^{19}\,b^{14}\,d^6+3232\,a^{21}\,b^{12}\,d^6+96\,a^{23}\,b^{10}\,d^6-96\,a^{25}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{23}\,b^8\,d^5+608\,a^{21}\,b^{10}\,d^5+1568\,a^{19}\,b^{12}\,d^5+2016\,a^{17}\,b^{14}\,d^5+1120\,a^{15}\,b^{16}\,d^5-224\,a^{13}\,b^{18}\,d^5-672\,a^{11}\,b^{20}\,d^5-352\,a^9\,b^{22}\,d^5-64\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}-\ln\left(\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{29}\,b^8\,d^9+7424\,a^{27}\,b^{10}\,d^9+32256\,a^{25}\,b^{12}\,d^9+82944\,a^{23}\,b^{14}\,d^9+139776\,a^{21}\,b^{16}\,d^9+161280\,a^{19}\,b^{18}\,d^9+129024\,a^{17}\,b^{20}\,d^9+70656\,a^{15}\,b^{22}\,d^9+25344\,a^{13}\,b^{24}\,d^9+5376\,a^{11}\,b^{26}\,d^9+512\,a^9\,b^{28}\,d^9\right)+512\,a^8\,b^{28}\,d^8+5248\,a^{10}\,b^{26}\,d^8+23936\,a^{12}\,b^{24}\,d^8+64000\,a^{14}\,b^{22}\,d^8+111104\,a^{16}\,b^{20}\,d^8+130816\,a^{18}\,b^{18}\,d^8+105728\,a^{20}\,b^{16}\,d^8+57856\,a^{22}\,b^{14}\,d^8+20480\,a^{24}\,b^{12}\,d^8+4224\,a^{26}\,b^{10}\,d^8+384\,a^{28}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{26}\,b^8\,d^7+3712\,a^{24}\,b^{10}\,d^7+10112\,a^{22}\,b^{12}\,d^7+15232\,a^{20}\,b^{14}\,d^7+14336\,a^{18}\,b^{16}\,d^7+9856\,a^{16}\,b^{18}\,d^7+6272\,a^{14}\,b^{20}\,d^7+3712\,a^{12}\,b^{22}\,d^7+1472\,a^{10}\,b^{24}\,d^7+256\,a^8\,b^{26}\,d^7\right)\right)-128\,a^7\,b^{26}\,d^6-128\,a^9\,b^{24}\,d^6+2592\,a^{11}\,b^{22}\,d^6+10976\,a^{13}\,b^{20}\,d^6+20384\,a^{15}\,b^{18}\,d^6+20832\,a^{17}\,b^{16}\,d^6+11872\,a^{19}\,b^{14}\,d^6+3232\,a^{21}\,b^{12}\,d^6+96\,a^{23}\,b^{10}\,d^6-96\,a^{25}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,a^{23}\,b^8\,d^5+608\,a^{21}\,b^{10}\,d^5+1568\,a^{19}\,b^{12}\,d^5+2016\,a^{17}\,b^{14}\,d^5+1120\,a^{15}\,b^{16}\,d^5-224\,a^{13}\,b^{18}\,d^5-672\,a^{11}\,b^{20}\,d^5-352\,a^9\,b^{22}\,d^5-64\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+\frac{2\,b^2}{d\,\left(a^3+a\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\frac{\mathrm{atan}\left(\frac{a^3\,b^{28}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1024{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^5\,b^{26}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,10240{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^7\,b^{24}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,47616{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^9\,b^{22}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,133184{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^{11}\,b^{20}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,244160{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^{13}\,b^{18}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,302400{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^{15}\,b^{16}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,253120{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^{17}\,b^{14}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,139456{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^{19}\,b^{12}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,47424{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^{21}\,b^{10}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,8640{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}+\frac{a^{23}\,b^8\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,576{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,a^{22}\,b^8\,d^4+8640\,a^{20}\,b^{10}\,d^4+47424\,a^{18}\,b^{12}\,d^4+139456\,a^{16}\,b^{14}\,d^4+253120\,a^{14}\,b^{16}\,d^4+302400\,a^{12}\,b^{18}\,d^4+244160\,a^{10}\,b^{20}\,d^4+133184\,a^8\,b^{22}\,d^4+47616\,a^6\,b^{24}\,d^4+10240\,a^4\,b^{26}\,d^4+1024\,a^2\,b^{28}\,d^4\right)}\right)\,2{}\mathrm{i}}{d\,\sqrt{a^3}}","Not used",1,"log(((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*((((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(512*a^8*b^28*d^8 - (a + b*tan(c + d*x))^(1/2)*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(512*a^9*b^28*d^9 + 5376*a^11*b^26*d^9 + 25344*a^13*b^24*d^9 + 70656*a^15*b^22*d^9 + 129024*a^17*b^20*d^9 + 161280*a^19*b^18*d^9 + 139776*a^21*b^16*d^9 + 82944*a^23*b^14*d^9 + 32256*a^25*b^12*d^9 + 7424*a^27*b^10*d^9 + 768*a^29*b^8*d^9) + 5248*a^10*b^26*d^8 + 23936*a^12*b^24*d^8 + 64000*a^14*b^22*d^8 + 111104*a^16*b^20*d^8 + 130816*a^18*b^18*d^8 + 105728*a^20*b^16*d^8 + 57856*a^22*b^14*d^8 + 20480*a^24*b^12*d^8 + 4224*a^26*b^10*d^8 + 384*a^28*b^8*d^8) + (a + b*tan(c + d*x))^(1/2)*(256*a^8*b^26*d^7 + 1472*a^10*b^24*d^7 + 3712*a^12*b^22*d^7 + 6272*a^14*b^20*d^7 + 9856*a^16*b^18*d^7 + 14336*a^18*b^16*d^7 + 15232*a^20*b^14*d^7 + 10112*a^22*b^12*d^7 + 3712*a^24*b^10*d^7 + 576*a^26*b^8*d^7))*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) - 128*a^7*b^26*d^6 - 128*a^9*b^24*d^6 + 2592*a^11*b^22*d^6 + 10976*a^13*b^20*d^6 + 20384*a^15*b^18*d^6 + 20832*a^17*b^16*d^6 + 11872*a^19*b^14*d^6 + 3232*a^21*b^12*d^6 + 96*a^23*b^10*d^6 - 96*a^25*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(1120*a^15*b^16*d^5 - 352*a^9*b^22*d^5 - 672*a^11*b^20*d^5 - 224*a^13*b^18*d^5 - 64*a^7*b^24*d^5 + 2016*a^17*b^14*d^5 + 1568*a^19*b^12*d^5 + 608*a^21*b^10*d^5 + 96*a^23*b^8*d^5))*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + log((-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(((-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(512*a^8*b^28*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(512*a^9*b^28*d^9 + 5376*a^11*b^26*d^9 + 25344*a^13*b^24*d^9 + 70656*a^15*b^22*d^9 + 129024*a^17*b^20*d^9 + 161280*a^19*b^18*d^9 + 139776*a^21*b^16*d^9 + 82944*a^23*b^14*d^9 + 32256*a^25*b^12*d^9 + 7424*a^27*b^10*d^9 + 768*a^29*b^8*d^9) + 5248*a^10*b^26*d^8 + 23936*a^12*b^24*d^8 + 64000*a^14*b^22*d^8 + 111104*a^16*b^20*d^8 + 130816*a^18*b^18*d^8 + 105728*a^20*b^16*d^8 + 57856*a^22*b^14*d^8 + 20480*a^24*b^12*d^8 + 4224*a^26*b^10*d^8 + 384*a^28*b^8*d^8) + (a + b*tan(c + d*x))^(1/2)*(256*a^8*b^26*d^7 + 1472*a^10*b^24*d^7 + 3712*a^12*b^22*d^7 + 6272*a^14*b^20*d^7 + 9856*a^16*b^18*d^7 + 14336*a^18*b^16*d^7 + 15232*a^20*b^14*d^7 + 10112*a^22*b^12*d^7 + 3712*a^24*b^10*d^7 + 576*a^26*b^8*d^7))*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) - 128*a^7*b^26*d^6 - 128*a^9*b^24*d^6 + 2592*a^11*b^22*d^6 + 10976*a^13*b^20*d^6 + 20384*a^15*b^18*d^6 + 20832*a^17*b^16*d^6 + 11872*a^19*b^14*d^6 + 3232*a^21*b^12*d^6 + 96*a^23*b^10*d^6 - 96*a^25*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(1120*a^15*b^16*d^5 - 352*a^9*b^22*d^5 - 672*a^11*b^20*d^5 - 224*a^13*b^18*d^5 - 64*a^7*b^24*d^5 + 2016*a^17*b^14*d^5 + 1568*a^19*b^12*d^5 + 608*a^21*b^10*d^5 + 96*a^23*b^8*d^5))*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) - log(((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^9*b^28*d^9 + 5376*a^11*b^26*d^9 + 25344*a^13*b^24*d^9 + 70656*a^15*b^22*d^9 + 129024*a^17*b^20*d^9 + 161280*a^19*b^18*d^9 + 139776*a^21*b^16*d^9 + 82944*a^23*b^14*d^9 + 32256*a^25*b^12*d^9 + 7424*a^27*b^10*d^9 + 768*a^29*b^8*d^9) + 512*a^8*b^28*d^8 + 5248*a^10*b^26*d^8 + 23936*a^12*b^24*d^8 + 64000*a^14*b^22*d^8 + 111104*a^16*b^20*d^8 + 130816*a^18*b^18*d^8 + 105728*a^20*b^16*d^8 + 57856*a^22*b^14*d^8 + 20480*a^24*b^12*d^8 + 4224*a^26*b^10*d^8 + 384*a^28*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(256*a^8*b^26*d^7 + 1472*a^10*b^24*d^7 + 3712*a^12*b^22*d^7 + 6272*a^14*b^20*d^7 + 9856*a^16*b^18*d^7 + 14336*a^18*b^16*d^7 + 15232*a^20*b^14*d^7 + 10112*a^22*b^12*d^7 + 3712*a^24*b^10*d^7 + 576*a^26*b^8*d^7)) - 128*a^7*b^26*d^6 - 128*a^9*b^24*d^6 + 2592*a^11*b^22*d^6 + 10976*a^13*b^20*d^6 + 20384*a^15*b^18*d^6 + 20832*a^17*b^16*d^6 + 11872*a^19*b^14*d^6 + 3232*a^21*b^12*d^6 + 96*a^23*b^10*d^6 - 96*a^25*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*a^15*b^16*d^5 - 352*a^9*b^22*d^5 - 672*a^11*b^20*d^5 - 224*a^13*b^18*d^5 - 64*a^7*b^24*d^5 + 2016*a^17*b^14*d^5 + 1568*a^19*b^12*d^5 + 608*a^21*b^10*d^5 + 96*a^23*b^8*d^5))*((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) - log((-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*((-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*((-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*((-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^9*b^28*d^9 + 5376*a^11*b^26*d^9 + 25344*a^13*b^24*d^9 + 70656*a^15*b^22*d^9 + 129024*a^17*b^20*d^9 + 161280*a^19*b^18*d^9 + 139776*a^21*b^16*d^9 + 82944*a^23*b^14*d^9 + 32256*a^25*b^12*d^9 + 7424*a^27*b^10*d^9 + 768*a^29*b^8*d^9) + 512*a^8*b^28*d^8 + 5248*a^10*b^26*d^8 + 23936*a^12*b^24*d^8 + 64000*a^14*b^22*d^8 + 111104*a^16*b^20*d^8 + 130816*a^18*b^18*d^8 + 105728*a^20*b^16*d^8 + 57856*a^22*b^14*d^8 + 20480*a^24*b^12*d^8 + 4224*a^26*b^10*d^8 + 384*a^28*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(256*a^8*b^26*d^7 + 1472*a^10*b^24*d^7 + 3712*a^12*b^22*d^7 + 6272*a^14*b^20*d^7 + 9856*a^16*b^18*d^7 + 14336*a^18*b^16*d^7 + 15232*a^20*b^14*d^7 + 10112*a^22*b^12*d^7 + 3712*a^24*b^10*d^7 + 576*a^26*b^8*d^7)) - 128*a^7*b^26*d^6 - 128*a^9*b^24*d^6 + 2592*a^11*b^22*d^6 + 10976*a^13*b^20*d^6 + 20384*a^15*b^18*d^6 + 20832*a^17*b^16*d^6 + 11872*a^19*b^14*d^6 + 3232*a^21*b^12*d^6 + 96*a^23*b^10*d^6 - 96*a^25*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*a^15*b^16*d^5 - 352*a^9*b^22*d^5 - 672*a^11*b^20*d^5 - 224*a^13*b^18*d^5 - 64*a^7*b^24*d^5 + 2016*a^17*b^14*d^5 + 1568*a^19*b^12*d^5 + 608*a^21*b^10*d^5 + 96*a^23*b^8*d^5))*(-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + (atan((a^3*b^28*d^4*(a + b*tan(c + d*x))^(1/2)*1024i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^5*b^26*d^4*(a + b*tan(c + d*x))^(1/2)*10240i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^7*b^24*d^4*(a + b*tan(c + d*x))^(1/2)*47616i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^9*b^22*d^4*(a + b*tan(c + d*x))^(1/2)*133184i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^11*b^20*d^4*(a + b*tan(c + d*x))^(1/2)*244160i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^13*b^18*d^4*(a + b*tan(c + d*x))^(1/2)*302400i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^15*b^16*d^4*(a + b*tan(c + d*x))^(1/2)*253120i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^17*b^14*d^4*(a + b*tan(c + d*x))^(1/2)*139456i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^19*b^12*d^4*(a + b*tan(c + d*x))^(1/2)*47424i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^21*b^10*d^4*(a + b*tan(c + d*x))^(1/2)*8640i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)) + (a^23*b^8*d^4*(a + b*tan(c + d*x))^(1/2)*576i)/((a^3)^(1/2)*(1024*a^2*b^28*d^4 + 10240*a^4*b^26*d^4 + 47616*a^6*b^24*d^4 + 133184*a^8*b^22*d^4 + 244160*a^10*b^20*d^4 + 302400*a^12*b^18*d^4 + 253120*a^14*b^16*d^4 + 139456*a^16*b^14*d^4 + 47424*a^18*b^12*d^4 + 8640*a^20*b^10*d^4 + 576*a^22*b^8*d^4)))*2i)/(d*(a^3)^(1/2)) + (2*b^2)/(d*(a*b^2 + a^3)*(a + b*tan(c + d*x))^(1/2))","B"
544,1,7971,192,4.560674,"\text{Not used}","int(cot(c + d*x)^2/(a + b*tan(c + d*x))^(3/2),x)","\ln\left(72\,a^{14}\,b^{25}\,d^4-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^8\,d^5+80\,a^{30}\,b^{10}\,d^5-192\,a^{28}\,b^{12}\,d^5-896\,a^{26}\,b^{14}\,d^5-896\,a^{24}\,b^{16}\,d^5+672\,a^{22}\,b^{18}\,d^5+2240\,a^{20}\,b^{20}\,d^5+2048\,a^{18}\,b^{22}\,d^5+864\,a^{16}\,b^{24}\,d^5+144\,a^{14}\,b^{26}\,d^5\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(576\,a^{15}\,b^{27}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{35}\,b^8\,d^7-832\,a^{33}\,b^{10}\,d^7+4288\,a^{31}\,b^{12}\,d^7+27008\,a^{29}\,b^{14}\,d^7+66304\,a^{27}\,b^{16}\,d^7+94976\,a^{25}\,b^{18}\,d^7+87808\,a^{23}\,b^{20}\,d^7+53888\,a^{21}\,b^{22}\,d^7+21568\,a^{19}\,b^{24}\,d^7+5184\,a^{17}\,b^{26}\,d^7+576\,a^{15}\,b^{28}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(768\,a^{38}\,b^8\,d^9+7424\,a^{36}\,b^{10}\,d^9+32256\,a^{34}\,b^{12}\,d^9+82944\,a^{32}\,b^{14}\,d^9+139776\,a^{30}\,b^{16}\,d^9+161280\,a^{28}\,b^{18}\,d^9+129024\,a^{26}\,b^{20}\,d^9+70656\,a^{24}\,b^{22}\,d^9+25344\,a^{22}\,b^{24}\,d^9+5376\,a^{20}\,b^{26}\,d^9+512\,a^{18}\,b^{28}\,d^9\right)+768\,a^{16}\,b^{29}\,d^8+7680\,a^{18}\,b^{27}\,d^8+34304\,a^{20}\,b^{25}\,d^8+90112\,a^{22}\,b^{23}\,d^8+154112\,a^{24}\,b^{21}\,d^8+179200\,a^{26}\,b^{19}\,d^8+143360\,a^{28}\,b^{17}\,d^8+77824\,a^{30}\,b^{15}\,d^8+27392\,a^{32}\,b^{13}\,d^8+5632\,a^{34}\,b^{11}\,d^8+512\,a^{36}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+3456\,a^{17}\,b^{25}\,d^6+8480\,a^{19}\,b^{23}\,d^6+10976\,a^{21}\,b^{21}\,d^6+8736\,a^{23}\,b^{19}\,d^6+6496\,a^{25}\,b^{17}\,d^6+6496\,a^{27}\,b^{15}\,d^6+5280\,a^{29}\,b^{13}\,d^6+2336\,a^{31}\,b^{11}\,d^6+416\,a^{33}\,b^9\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+456\,a^{16}\,b^{23}\,d^4+1176\,a^{18}\,b^{21}\,d^4+1512\,a^{20}\,b^{19}\,d^4+840\,a^{22}\,b^{17}\,d^4-168\,a^{24}\,b^{15}\,d^4-504\,a^{26}\,b^{13}\,d^4-264\,a^{28}\,b^{11}\,d^4-48\,a^{30}\,b^9\,d^4\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+\ln\left(72\,a^{14}\,b^{25}\,d^4-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^8\,d^5+80\,a^{30}\,b^{10}\,d^5-192\,a^{28}\,b^{12}\,d^5-896\,a^{26}\,b^{14}\,d^5-896\,a^{24}\,b^{16}\,d^5+672\,a^{22}\,b^{18}\,d^5+2240\,a^{20}\,b^{20}\,d^5+2048\,a^{18}\,b^{22}\,d^5+864\,a^{16}\,b^{24}\,d^5+144\,a^{14}\,b^{26}\,d^5\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(576\,a^{15}\,b^{27}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{35}\,b^8\,d^7-832\,a^{33}\,b^{10}\,d^7+4288\,a^{31}\,b^{12}\,d^7+27008\,a^{29}\,b^{14}\,d^7+66304\,a^{27}\,b^{16}\,d^7+94976\,a^{25}\,b^{18}\,d^7+87808\,a^{23}\,b^{20}\,d^7+53888\,a^{21}\,b^{22}\,d^7+21568\,a^{19}\,b^{24}\,d^7+5184\,a^{17}\,b^{26}\,d^7+576\,a^{15}\,b^{28}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(768\,a^{38}\,b^8\,d^9+7424\,a^{36}\,b^{10}\,d^9+32256\,a^{34}\,b^{12}\,d^9+82944\,a^{32}\,b^{14}\,d^9+139776\,a^{30}\,b^{16}\,d^9+161280\,a^{28}\,b^{18}\,d^9+129024\,a^{26}\,b^{20}\,d^9+70656\,a^{24}\,b^{22}\,d^9+25344\,a^{22}\,b^{24}\,d^9+5376\,a^{20}\,b^{26}\,d^9+512\,a^{18}\,b^{28}\,d^9\right)+768\,a^{16}\,b^{29}\,d^8+7680\,a^{18}\,b^{27}\,d^8+34304\,a^{20}\,b^{25}\,d^8+90112\,a^{22}\,b^{23}\,d^8+154112\,a^{24}\,b^{21}\,d^8+179200\,a^{26}\,b^{19}\,d^8+143360\,a^{28}\,b^{17}\,d^8+77824\,a^{30}\,b^{15}\,d^8+27392\,a^{32}\,b^{13}\,d^8+5632\,a^{34}\,b^{11}\,d^8+512\,a^{36}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+3456\,a^{17}\,b^{25}\,d^6+8480\,a^{19}\,b^{23}\,d^6+10976\,a^{21}\,b^{21}\,d^6+8736\,a^{23}\,b^{19}\,d^6+6496\,a^{25}\,b^{17}\,d^6+6496\,a^{27}\,b^{15}\,d^6+5280\,a^{29}\,b^{13}\,d^6+2336\,a^{31}\,b^{11}\,d^6+416\,a^{33}\,b^9\,d^6\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+456\,a^{16}\,b^{23}\,d^4+1176\,a^{18}\,b^{21}\,d^4+1512\,a^{20}\,b^{19}\,d^4+840\,a^{22}\,b^{17}\,d^4-168\,a^{24}\,b^{15}\,d^4-504\,a^{26}\,b^{13}\,d^4-264\,a^{28}\,b^{11}\,d^4-48\,a^{30}\,b^9\,d^4\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-\ln\left(72\,a^{14}\,b^{25}\,d^4-\sqrt{\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\left(\sqrt{\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(768\,a^{16}\,b^{29}\,d^8-\sqrt{\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{38}\,b^8\,d^9+7424\,a^{36}\,b^{10}\,d^9+32256\,a^{34}\,b^{12}\,d^9+82944\,a^{32}\,b^{14}\,d^9+139776\,a^{30}\,b^{16}\,d^9+161280\,a^{28}\,b^{18}\,d^9+129024\,a^{26}\,b^{20}\,d^9+70656\,a^{24}\,b^{22}\,d^9+25344\,a^{22}\,b^{24}\,d^9+5376\,a^{20}\,b^{26}\,d^9+512\,a^{18}\,b^{28}\,d^9\right)+7680\,a^{18}\,b^{27}\,d^8+34304\,a^{20}\,b^{25}\,d^8+90112\,a^{22}\,b^{23}\,d^8+154112\,a^{24}\,b^{21}\,d^8+179200\,a^{26}\,b^{19}\,d^8+143360\,a^{28}\,b^{17}\,d^8+77824\,a^{30}\,b^{15}\,d^8+27392\,a^{32}\,b^{13}\,d^8+5632\,a^{34}\,b^{11}\,d^8+512\,a^{36}\,b^9\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{35}\,b^8\,d^7-832\,a^{33}\,b^{10}\,d^7+4288\,a^{31}\,b^{12}\,d^7+27008\,a^{29}\,b^{14}\,d^7+66304\,a^{27}\,b^{16}\,d^7+94976\,a^{25}\,b^{18}\,d^7+87808\,a^{23}\,b^{20}\,d^7+53888\,a^{21}\,b^{22}\,d^7+21568\,a^{19}\,b^{24}\,d^7+5184\,a^{17}\,b^{26}\,d^7+576\,a^{15}\,b^{28}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+576\,a^{15}\,b^{27}\,d^6+3456\,a^{17}\,b^{25}\,d^6+8480\,a^{19}\,b^{23}\,d^6+10976\,a^{21}\,b^{21}\,d^6+8736\,a^{23}\,b^{19}\,d^6+6496\,a^{25}\,b^{17}\,d^6+6496\,a^{27}\,b^{15}\,d^6+5280\,a^{29}\,b^{13}\,d^6+2336\,a^{31}\,b^{11}\,d^6+416\,a^{33}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^8\,d^5+80\,a^{30}\,b^{10}\,d^5-192\,a^{28}\,b^{12}\,d^5-896\,a^{26}\,b^{14}\,d^5-896\,a^{24}\,b^{16}\,d^5+672\,a^{22}\,b^{18}\,d^5+2240\,a^{20}\,b^{20}\,d^5+2048\,a^{18}\,b^{22}\,d^5+864\,a^{16}\,b^{24}\,d^5+144\,a^{14}\,b^{26}\,d^5\right)\right)+456\,a^{16}\,b^{23}\,d^4+1176\,a^{18}\,b^{21}\,d^4+1512\,a^{20}\,b^{19}\,d^4+840\,a^{22}\,b^{17}\,d^4-168\,a^{24}\,b^{15}\,d^4-504\,a^{26}\,b^{13}\,d^4-264\,a^{28}\,b^{11}\,d^4-48\,a^{30}\,b^9\,d^4\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}-\ln\left(72\,a^{14}\,b^{25}\,d^4-\sqrt{-\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{-\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\left(\sqrt{-\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(768\,a^{16}\,b^{29}\,d^8-\sqrt{-\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{38}\,b^8\,d^9+7424\,a^{36}\,b^{10}\,d^9+32256\,a^{34}\,b^{12}\,d^9+82944\,a^{32}\,b^{14}\,d^9+139776\,a^{30}\,b^{16}\,d^9+161280\,a^{28}\,b^{18}\,d^9+129024\,a^{26}\,b^{20}\,d^9+70656\,a^{24}\,b^{22}\,d^9+25344\,a^{22}\,b^{24}\,d^9+5376\,a^{20}\,b^{26}\,d^9+512\,a^{18}\,b^{28}\,d^9\right)+7680\,a^{18}\,b^{27}\,d^8+34304\,a^{20}\,b^{25}\,d^8+90112\,a^{22}\,b^{23}\,d^8+154112\,a^{24}\,b^{21}\,d^8+179200\,a^{26}\,b^{19}\,d^8+143360\,a^{28}\,b^{17}\,d^8+77824\,a^{30}\,b^{15}\,d^8+27392\,a^{32}\,b^{13}\,d^8+5632\,a^{34}\,b^{11}\,d^8+512\,a^{36}\,b^9\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{35}\,b^8\,d^7-832\,a^{33}\,b^{10}\,d^7+4288\,a^{31}\,b^{12}\,d^7+27008\,a^{29}\,b^{14}\,d^7+66304\,a^{27}\,b^{16}\,d^7+94976\,a^{25}\,b^{18}\,d^7+87808\,a^{23}\,b^{20}\,d^7+53888\,a^{21}\,b^{22}\,d^7+21568\,a^{19}\,b^{24}\,d^7+5184\,a^{17}\,b^{26}\,d^7+576\,a^{15}\,b^{28}\,d^7\right)\right)\,\sqrt{-\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+576\,a^{15}\,b^{27}\,d^6+3456\,a^{17}\,b^{25}\,d^6+8480\,a^{19}\,b^{23}\,d^6+10976\,a^{21}\,b^{21}\,d^6+8736\,a^{23}\,b^{19}\,d^6+6496\,a^{25}\,b^{17}\,d^6+6496\,a^{27}\,b^{15}\,d^6+5280\,a^{29}\,b^{13}\,d^6+2336\,a^{31}\,b^{11}\,d^6+416\,a^{33}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^8\,d^5+80\,a^{30}\,b^{10}\,d^5-192\,a^{28}\,b^{12}\,d^5-896\,a^{26}\,b^{14}\,d^5-896\,a^{24}\,b^{16}\,d^5+672\,a^{22}\,b^{18}\,d^5+2240\,a^{20}\,b^{20}\,d^5+2048\,a^{18}\,b^{22}\,d^5+864\,a^{16}\,b^{24}\,d^5+144\,a^{14}\,b^{26}\,d^5\right)\right)+456\,a^{16}\,b^{23}\,d^4+1176\,a^{18}\,b^{21}\,d^4+1512\,a^{20}\,b^{19}\,d^4+840\,a^{22}\,b^{17}\,d^4-168\,a^{24}\,b^{15}\,d^4-504\,a^{26}\,b^{13}\,d^4-264\,a^{28}\,b^{11}\,d^4-48\,a^{30}\,b^9\,d^4\right)\,\sqrt{-\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+\frac{\frac{2\,b^3}{a^3+a\,b^2}-\frac{b\,\left(a^2+3\,b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{a\,\left(a^3+a\,b^2\right)}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}-a\,d\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}-\frac{b\,\mathrm{atan}\left(\frac{a^8\,b^{33}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,7776{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{10}\,b^{31}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,77760{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{12}\,b^{29}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,349920{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{14}\,b^{27}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,927936{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{16}\,b^{25}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1598400{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{18}\,b^{23}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1862880{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{20}\,b^{21}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1488480{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{22}\,b^{19}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,814176{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{24}\,b^{17}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,304896{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{26}\,b^{15}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,81120{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{28}\,b^{13}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16704{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{30}\,b^{11}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2400{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}+\frac{a^{32}\,b^9\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,96{}\mathrm{i}}{\sqrt{a^5}\,\left(96\,a^{30}\,b^9\,d^4+2400\,a^{28}\,b^{11}\,d^4+16704\,a^{26}\,b^{13}\,d^4+81120\,a^{24}\,b^{15}\,d^4+304896\,a^{22}\,b^{17}\,d^4+814176\,a^{20}\,b^{19}\,d^4+1488480\,a^{18}\,b^{21}\,d^4+1862880\,a^{16}\,b^{23}\,d^4+1598400\,a^{14}\,b^{25}\,d^4+927936\,a^{12}\,b^{27}\,d^4+349920\,a^{10}\,b^{29}\,d^4+77760\,a^8\,b^{31}\,d^4+7776\,a^6\,b^{33}\,d^4\right)}\right)\,3{}\mathrm{i}}{d\,\sqrt{a^5}}","Not used",1,"log(72*a^14*b^25*d^4 - ((a + b*tan(c + d*x))^(1/2)*(144*a^14*b^26*d^5 + 864*a^16*b^24*d^5 + 2048*a^18*b^22*d^5 + 2240*a^20*b^20*d^5 + 672*a^22*b^18*d^5 - 896*a^24*b^16*d^5 - 896*a^26*b^14*d^5 - 192*a^28*b^12*d^5 + 80*a^30*b^10*d^5 + 32*a^32*b^8*d^5) + (-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(576*a^15*b^27*d^6 - ((a + b*tan(c + d*x))^(1/2)*(576*a^15*b^28*d^7 + 5184*a^17*b^26*d^7 + 21568*a^19*b^24*d^7 + 53888*a^21*b^22*d^7 + 87808*a^23*b^20*d^7 + 94976*a^25*b^18*d^7 + 66304*a^27*b^16*d^7 + 27008*a^29*b^14*d^7 + 4288*a^31*b^12*d^7 - 832*a^33*b^10*d^7 - 320*a^35*b^8*d^7) - (-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(512*a^18*b^28*d^9 + 5376*a^20*b^26*d^9 + 25344*a^22*b^24*d^9 + 70656*a^24*b^22*d^9 + 129024*a^26*b^20*d^9 + 161280*a^28*b^18*d^9 + 139776*a^30*b^16*d^9 + 82944*a^32*b^14*d^9 + 32256*a^34*b^12*d^9 + 7424*a^36*b^10*d^9 + 768*a^38*b^8*d^9) + 768*a^16*b^29*d^8 + 7680*a^18*b^27*d^8 + 34304*a^20*b^25*d^8 + 90112*a^22*b^23*d^8 + 154112*a^24*b^21*d^8 + 179200*a^26*b^19*d^8 + 143360*a^28*b^17*d^8 + 77824*a^30*b^15*d^8 + 27392*a^32*b^13*d^8 + 5632*a^34*b^11*d^8 + 512*a^36*b^9*d^8))*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 3456*a^17*b^25*d^6 + 8480*a^19*b^23*d^6 + 10976*a^21*b^21*d^6 + 8736*a^23*b^19*d^6 + 6496*a^25*b^17*d^6 + 6496*a^27*b^15*d^6 + 5280*a^29*b^13*d^6 + 2336*a^31*b^11*d^6 + 416*a^33*b^9*d^6))*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 456*a^16*b^23*d^4 + 1176*a^18*b^21*d^4 + 1512*a^20*b^19*d^4 + 840*a^22*b^17*d^4 - 168*a^24*b^15*d^4 - 504*a^26*b^13*d^4 - 264*a^28*b^11*d^4 - 48*a^30*b^9*d^4)*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + log(72*a^14*b^25*d^4 - ((a + b*tan(c + d*x))^(1/2)*(144*a^14*b^26*d^5 + 864*a^16*b^24*d^5 + 2048*a^18*b^22*d^5 + 2240*a^20*b^20*d^5 + 672*a^22*b^18*d^5 - 896*a^24*b^16*d^5 - 896*a^26*b^14*d^5 - 192*a^28*b^12*d^5 + 80*a^30*b^10*d^5 + 32*a^32*b^8*d^5) + ((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(576*a^15*b^27*d^6 - ((a + b*tan(c + d*x))^(1/2)*(576*a^15*b^28*d^7 + 5184*a^17*b^26*d^7 + 21568*a^19*b^24*d^7 + 53888*a^21*b^22*d^7 + 87808*a^23*b^20*d^7 + 94976*a^25*b^18*d^7 + 66304*a^27*b^16*d^7 + 27008*a^29*b^14*d^7 + 4288*a^31*b^12*d^7 - 832*a^33*b^10*d^7 - 320*a^35*b^8*d^7) - ((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(512*a^18*b^28*d^9 + 5376*a^20*b^26*d^9 + 25344*a^22*b^24*d^9 + 70656*a^24*b^22*d^9 + 129024*a^26*b^20*d^9 + 161280*a^28*b^18*d^9 + 139776*a^30*b^16*d^9 + 82944*a^32*b^14*d^9 + 32256*a^34*b^12*d^9 + 7424*a^36*b^10*d^9 + 768*a^38*b^8*d^9) + 768*a^16*b^29*d^8 + 7680*a^18*b^27*d^8 + 34304*a^20*b^25*d^8 + 90112*a^22*b^23*d^8 + 154112*a^24*b^21*d^8 + 179200*a^26*b^19*d^8 + 143360*a^28*b^17*d^8 + 77824*a^30*b^15*d^8 + 27392*a^32*b^13*d^8 + 5632*a^34*b^11*d^8 + 512*a^36*b^9*d^8))*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 3456*a^17*b^25*d^6 + 8480*a^19*b^23*d^6 + 10976*a^21*b^21*d^6 + 8736*a^23*b^19*d^6 + 6496*a^25*b^17*d^6 + 6496*a^27*b^15*d^6 + 5280*a^29*b^13*d^6 + 2336*a^31*b^11*d^6 + 416*a^33*b^9*d^6))*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 456*a^16*b^23*d^4 + 1176*a^18*b^21*d^4 + 1512*a^20*b^19*d^4 + 840*a^22*b^17*d^4 - 168*a^24*b^15*d^4 - 504*a^26*b^13*d^4 - 264*a^28*b^11*d^4 - 48*a^30*b^9*d^4)*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) - log(72*a^14*b^25*d^4 - (((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*((((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(((((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(768*a^16*b^29*d^8 - (((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^18*b^28*d^9 + 5376*a^20*b^26*d^9 + 25344*a^22*b^24*d^9 + 70656*a^24*b^22*d^9 + 129024*a^26*b^20*d^9 + 161280*a^28*b^18*d^9 + 139776*a^30*b^16*d^9 + 82944*a^32*b^14*d^9 + 32256*a^34*b^12*d^9 + 7424*a^36*b^10*d^9 + 768*a^38*b^8*d^9) + 7680*a^18*b^27*d^8 + 34304*a^20*b^25*d^8 + 90112*a^22*b^23*d^8 + 154112*a^24*b^21*d^8 + 179200*a^26*b^19*d^8 + 143360*a^28*b^17*d^8 + 77824*a^30*b^15*d^8 + 27392*a^32*b^13*d^8 + 5632*a^34*b^11*d^8 + 512*a^36*b^9*d^8) + (a + b*tan(c + d*x))^(1/2)*(576*a^15*b^28*d^7 + 5184*a^17*b^26*d^7 + 21568*a^19*b^24*d^7 + 53888*a^21*b^22*d^7 + 87808*a^23*b^20*d^7 + 94976*a^25*b^18*d^7 + 66304*a^27*b^16*d^7 + 27008*a^29*b^14*d^7 + 4288*a^31*b^12*d^7 - 832*a^33*b^10*d^7 - 320*a^35*b^8*d^7))*(((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + 576*a^15*b^27*d^6 + 3456*a^17*b^25*d^6 + 8480*a^19*b^23*d^6 + 10976*a^21*b^21*d^6 + 8736*a^23*b^19*d^6 + 6496*a^25*b^17*d^6 + 6496*a^27*b^15*d^6 + 5280*a^29*b^13*d^6 + 2336*a^31*b^11*d^6 + 416*a^33*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(144*a^14*b^26*d^5 + 864*a^16*b^24*d^5 + 2048*a^18*b^22*d^5 + 2240*a^20*b^20*d^5 + 672*a^22*b^18*d^5 - 896*a^24*b^16*d^5 - 896*a^26*b^14*d^5 - 192*a^28*b^12*d^5 + 80*a^30*b^10*d^5 + 32*a^32*b^8*d^5)) + 456*a^16*b^23*d^4 + 1176*a^18*b^21*d^4 + 1512*a^20*b^19*d^4 + 840*a^22*b^17*d^4 - 168*a^24*b^15*d^4 - 504*a^26*b^13*d^4 - 264*a^28*b^11*d^4 - 48*a^30*b^9*d^4)*(((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) - log(72*a^14*b^25*d^4 - (-(a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*((-(a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(((-(a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(768*a^16*b^29*d^8 - (-(a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^18*b^28*d^9 + 5376*a^20*b^26*d^9 + 25344*a^22*b^24*d^9 + 70656*a^24*b^22*d^9 + 129024*a^26*b^20*d^9 + 161280*a^28*b^18*d^9 + 139776*a^30*b^16*d^9 + 82944*a^32*b^14*d^9 + 32256*a^34*b^12*d^9 + 7424*a^36*b^10*d^9 + 768*a^38*b^8*d^9) + 7680*a^18*b^27*d^8 + 34304*a^20*b^25*d^8 + 90112*a^22*b^23*d^8 + 154112*a^24*b^21*d^8 + 179200*a^26*b^19*d^8 + 143360*a^28*b^17*d^8 + 77824*a^30*b^15*d^8 + 27392*a^32*b^13*d^8 + 5632*a^34*b^11*d^8 + 512*a^36*b^9*d^8) + (a + b*tan(c + d*x))^(1/2)*(576*a^15*b^28*d^7 + 5184*a^17*b^26*d^7 + 21568*a^19*b^24*d^7 + 53888*a^21*b^22*d^7 + 87808*a^23*b^20*d^7 + 94976*a^25*b^18*d^7 + 66304*a^27*b^16*d^7 + 27008*a^29*b^14*d^7 + 4288*a^31*b^12*d^7 - 832*a^33*b^10*d^7 - 320*a^35*b^8*d^7))*(-(a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + 576*a^15*b^27*d^6 + 3456*a^17*b^25*d^6 + 8480*a^19*b^23*d^6 + 10976*a^21*b^21*d^6 + 8736*a^23*b^19*d^6 + 6496*a^25*b^17*d^6 + 6496*a^27*b^15*d^6 + 5280*a^29*b^13*d^6 + 2336*a^31*b^11*d^6 + 416*a^33*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(144*a^14*b^26*d^5 + 864*a^16*b^24*d^5 + 2048*a^18*b^22*d^5 + 2240*a^20*b^20*d^5 + 672*a^22*b^18*d^5 - 896*a^24*b^16*d^5 - 896*a^26*b^14*d^5 - 192*a^28*b^12*d^5 + 80*a^30*b^10*d^5 + 32*a^32*b^8*d^5)) + 456*a^16*b^23*d^4 + 1176*a^18*b^21*d^4 + 1512*a^20*b^19*d^4 + 840*a^22*b^17*d^4 - 168*a^24*b^15*d^4 - 504*a^26*b^13*d^4 - 264*a^28*b^11*d^4 - 48*a^30*b^9*d^4)*(-(a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + ((2*b^3)/(a*b^2 + a^3) - (b*(a^2 + 3*b^2)*(a + b*tan(c + d*x)))/(a*(a*b^2 + a^3)))/(d*(a + b*tan(c + d*x))^(3/2) - a*d*(a + b*tan(c + d*x))^(1/2)) - (b*atan((a^8*b^33*d^4*(a + b*tan(c + d*x))^(1/2)*7776i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^10*b^31*d^4*(a + b*tan(c + d*x))^(1/2)*77760i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^12*b^29*d^4*(a + b*tan(c + d*x))^(1/2)*349920i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^14*b^27*d^4*(a + b*tan(c + d*x))^(1/2)*927936i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^16*b^25*d^4*(a + b*tan(c + d*x))^(1/2)*1598400i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^18*b^23*d^4*(a + b*tan(c + d*x))^(1/2)*1862880i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^20*b^21*d^4*(a + b*tan(c + d*x))^(1/2)*1488480i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^22*b^19*d^4*(a + b*tan(c + d*x))^(1/2)*814176i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^24*b^17*d^4*(a + b*tan(c + d*x))^(1/2)*304896i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^26*b^15*d^4*(a + b*tan(c + d*x))^(1/2)*81120i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^28*b^13*d^4*(a + b*tan(c + d*x))^(1/2)*16704i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^30*b^11*d^4*(a + b*tan(c + d*x))^(1/2)*2400i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)) + (a^32*b^9*d^4*(a + b*tan(c + d*x))^(1/2)*96i)/((a^5)^(1/2)*(7776*a^6*b^33*d^4 + 77760*a^8*b^31*d^4 + 349920*a^10*b^29*d^4 + 927936*a^12*b^27*d^4 + 1598400*a^14*b^25*d^4 + 1862880*a^16*b^23*d^4 + 1488480*a^18*b^21*d^4 + 814176*a^20*b^19*d^4 + 304896*a^22*b^17*d^4 + 81120*a^24*b^15*d^4 + 16704*a^26*b^13*d^4 + 2400*a^28*b^11*d^4 + 96*a^30*b^9*d^4)))*3i)/(d*(a^5)^(1/2))","B"
545,1,6216,241,4.641068,"\text{Not used}","int(cot(c + d*x)^3/(a + b*tan(c + d*x))^(3/2),x)","\frac{\frac{2\,b^4}{a\,\left(a^2+b^2\right)}-\frac{\left(9\,a^2\,b^2+25\,b^4\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{4\,a^2\,\left(a^2+b^2\right)}+\frac{b^2\,\left(7\,a^2+15\,b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2}{4\,a^3\,\left(a^2+b^2\right)}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}-2\,a\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+a^2\,d\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\ln\left(\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(251658240\,a^{24}\,b^{30}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(201326592\,a^{47}\,b^8\,d^9+1946157056\,a^{45}\,b^{10}\,d^9+8455716864\,a^{43}\,b^{12}\,d^9+21743271936\,a^{41}\,b^{14}\,d^9+36641439744\,a^{39}\,b^{16}\,d^9+42278584320\,a^{37}\,b^{18}\,d^9+33822867456\,a^{35}\,b^{20}\,d^9+18522046464\,a^{33}\,b^{22}\,d^9+6643777536\,a^{31}\,b^{24}\,d^9+1409286144\,a^{29}\,b^{26}\,d^9+134217728\,a^{27}\,b^{28}\,d^9\right)+2382364672\,a^{26}\,b^{28}\,d^8+9948889088\,a^{28}\,b^{26}\,d^8+23924310016\,a^{30}\,b^{24}\,d^8+36071014400\,a^{32}\,b^{22}\,d^8+34292629504\,a^{34}\,b^{20}\,d^8+18555600896\,a^{36}\,b^{18}\,d^8+2483027968\,a^{38}\,b^{16}\,d^8-3841982464\,a^{40}\,b^{14}\,d^8-2852126720\,a^{42}\,b^{12}\,d^8-855638016\,a^{44}\,b^{10}\,d^8-100663296\,a^{46}\,b^8\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,a^{44}\,b^8\,d^7+721420288\,a^{42}\,b^{10}\,d^7+621805568\,a^{40}\,b^{12}\,d^7-2943352832\,a^{38}\,b^{14}\,d^7-8887730176\,a^{36}\,b^{16}\,d^7-9307160576\,a^{34}\,b^{18}\,d^7-337641472\,a^{32}\,b^{20}\,d^7+9560915968\,a^{30}\,b^{22}\,d^7+11144265728\,a^{28}\,b^{24}\,d^7+6295650304\,a^{26}\,b^{26}\,d^7+1871708160\,a^{24}\,b^{28}\,d^7+235929600\,a^{22}\,b^{30}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+117964800\,a^{21}\,b^{30}\,d^6+699924480\,a^{23}\,b^{28}\,d^6+1889533952\,a^{25}\,b^{26}\,d^6+3336568832\,a^{27}\,b^{24}\,d^6+4495245312\,a^{29}\,b^{22}\,d^6+4279238656\,a^{31}\,b^{20}\,d^6+1923088384\,a^{33}\,b^{18}\,d^6-773849088\,a^{35}\,b^{16}\,d^6-1421344768\,a^{37}\,b^{14}\,d^6-587726848\,a^{39}\,b^{12}\,d^6-25165824\,a^{41}\,b^{10}\,d^6+25165824\,a^{43}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,a^{41}\,b^8\,d^5+96468992\,a^{39}\,b^{10}\,d^5+92536832\,a^{37}\,b^{12}\,d^5+1572864\,a^{35}\,b^{14}\,d^5+238551040\,a^{33}\,b^{16}\,d^5+767033344\,a^{31}\,b^{18}\,d^5+704643072\,a^{29}\,b^{20}\,d^5-37224448\,a^{27}\,b^{22}\,d^5-465043456\,a^{25}\,b^{24}\,d^5-290979840\,a^{23}\,b^{26}\,d^5-58982400\,a^{21}\,b^{28}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+29491200\,a^{22}\,b^{26}\,d^4+190709760\,a^{24}\,b^{24}\,d^4+509214720\,a^{26}\,b^{22}\,d^4+701890560\,a^{28}\,b^{20}\,d^4+481689600\,a^{30}\,b^{18}\,d^4+68812800\,a^{32}\,b^{16}\,d^4-123863040\,a^{34}\,b^{14}\,d^4-80609280\,a^{36}\,b^{12}\,d^4-15728640\,a^{38}\,b^{10}\,d^4\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}+a^3\,d^2-3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+\ln\left(\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(251658240\,a^{24}\,b^{30}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(201326592\,a^{47}\,b^8\,d^9+1946157056\,a^{45}\,b^{10}\,d^9+8455716864\,a^{43}\,b^{12}\,d^9+21743271936\,a^{41}\,b^{14}\,d^9+36641439744\,a^{39}\,b^{16}\,d^9+42278584320\,a^{37}\,b^{18}\,d^9+33822867456\,a^{35}\,b^{20}\,d^9+18522046464\,a^{33}\,b^{22}\,d^9+6643777536\,a^{31}\,b^{24}\,d^9+1409286144\,a^{29}\,b^{26}\,d^9+134217728\,a^{27}\,b^{28}\,d^9\right)+2382364672\,a^{26}\,b^{28}\,d^8+9948889088\,a^{28}\,b^{26}\,d^8+23924310016\,a^{30}\,b^{24}\,d^8+36071014400\,a^{32}\,b^{22}\,d^8+34292629504\,a^{34}\,b^{20}\,d^8+18555600896\,a^{36}\,b^{18}\,d^8+2483027968\,a^{38}\,b^{16}\,d^8-3841982464\,a^{40}\,b^{14}\,d^8-2852126720\,a^{42}\,b^{12}\,d^8-855638016\,a^{44}\,b^{10}\,d^8-100663296\,a^{46}\,b^8\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,a^{44}\,b^8\,d^7+721420288\,a^{42}\,b^{10}\,d^7+621805568\,a^{40}\,b^{12}\,d^7-2943352832\,a^{38}\,b^{14}\,d^7-8887730176\,a^{36}\,b^{16}\,d^7-9307160576\,a^{34}\,b^{18}\,d^7-337641472\,a^{32}\,b^{20}\,d^7+9560915968\,a^{30}\,b^{22}\,d^7+11144265728\,a^{28}\,b^{24}\,d^7+6295650304\,a^{26}\,b^{26}\,d^7+1871708160\,a^{24}\,b^{28}\,d^7+235929600\,a^{22}\,b^{30}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+117964800\,a^{21}\,b^{30}\,d^6+699924480\,a^{23}\,b^{28}\,d^6+1889533952\,a^{25}\,b^{26}\,d^6+3336568832\,a^{27}\,b^{24}\,d^6+4495245312\,a^{29}\,b^{22}\,d^6+4279238656\,a^{31}\,b^{20}\,d^6+1923088384\,a^{33}\,b^{18}\,d^6-773849088\,a^{35}\,b^{16}\,d^6-1421344768\,a^{37}\,b^{14}\,d^6-587726848\,a^{39}\,b^{12}\,d^6-25165824\,a^{41}\,b^{10}\,d^6+25165824\,a^{43}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,a^{41}\,b^8\,d^5+96468992\,a^{39}\,b^{10}\,d^5+92536832\,a^{37}\,b^{12}\,d^5+1572864\,a^{35}\,b^{14}\,d^5+238551040\,a^{33}\,b^{16}\,d^5+767033344\,a^{31}\,b^{18}\,d^5+704643072\,a^{29}\,b^{20}\,d^5-37224448\,a^{27}\,b^{22}\,d^5-465043456\,a^{25}\,b^{24}\,d^5-290979840\,a^{23}\,b^{26}\,d^5-58982400\,a^{21}\,b^{28}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+29491200\,a^{22}\,b^{26}\,d^4+190709760\,a^{24}\,b^{24}\,d^4+509214720\,a^{26}\,b^{22}\,d^4+701890560\,a^{28}\,b^{20}\,d^4+481689600\,a^{30}\,b^{18}\,d^4+68812800\,a^{32}\,b^{16}\,d^4-123863040\,a^{34}\,b^{14}\,d^4-80609280\,a^{36}\,b^{12}\,d^4-15728640\,a^{38}\,b^{10}\,d^4\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^3\,d^2-24\,a\,b^2\,d^2\right)}^2}{64}-b^6\,d^4-a^6\,d^4-3\,a^2\,b^4\,d^4-3\,a^4\,b^2\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,a^{41}\,b^8\,d^5+96468992\,a^{39}\,b^{10}\,d^5+92536832\,a^{37}\,b^{12}\,d^5+1572864\,a^{35}\,b^{14}\,d^5+238551040\,a^{33}\,b^{16}\,d^5+767033344\,a^{31}\,b^{18}\,d^5+704643072\,a^{29}\,b^{20}\,d^5-37224448\,a^{27}\,b^{22}\,d^5-465043456\,a^{25}\,b^{24}\,d^5-290979840\,a^{23}\,b^{26}\,d^5-58982400\,a^{21}\,b^{28}\,d^5\right)+\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\left(\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(201326592\,a^{47}\,b^8\,d^9+1946157056\,a^{45}\,b^{10}\,d^9+8455716864\,a^{43}\,b^{12}\,d^9+21743271936\,a^{41}\,b^{14}\,d^9+36641439744\,a^{39}\,b^{16}\,d^9+42278584320\,a^{37}\,b^{18}\,d^9+33822867456\,a^{35}\,b^{20}\,d^9+18522046464\,a^{33}\,b^{22}\,d^9+6643777536\,a^{31}\,b^{24}\,d^9+1409286144\,a^{29}\,b^{26}\,d^9+134217728\,a^{27}\,b^{28}\,d^9\right)+251658240\,a^{24}\,b^{30}\,d^8+2382364672\,a^{26}\,b^{28}\,d^8+9948889088\,a^{28}\,b^{26}\,d^8+23924310016\,a^{30}\,b^{24}\,d^8+36071014400\,a^{32}\,b^{22}\,d^8+34292629504\,a^{34}\,b^{20}\,d^8+18555600896\,a^{36}\,b^{18}\,d^8+2483027968\,a^{38}\,b^{16}\,d^8-3841982464\,a^{40}\,b^{14}\,d^8-2852126720\,a^{42}\,b^{12}\,d^8-855638016\,a^{44}\,b^{10}\,d^8-100663296\,a^{46}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,a^{44}\,b^8\,d^7+721420288\,a^{42}\,b^{10}\,d^7+621805568\,a^{40}\,b^{12}\,d^7-2943352832\,a^{38}\,b^{14}\,d^7-8887730176\,a^{36}\,b^{16}\,d^7-9307160576\,a^{34}\,b^{18}\,d^7-337641472\,a^{32}\,b^{20}\,d^7+9560915968\,a^{30}\,b^{22}\,d^7+11144265728\,a^{28}\,b^{24}\,d^7+6295650304\,a^{26}\,b^{26}\,d^7+1871708160\,a^{24}\,b^{28}\,d^7+235929600\,a^{22}\,b^{30}\,d^7\right)\right)\,\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+117964800\,a^{21}\,b^{30}\,d^6+699924480\,a^{23}\,b^{28}\,d^6+1889533952\,a^{25}\,b^{26}\,d^6+3336568832\,a^{27}\,b^{24}\,d^6+4495245312\,a^{29}\,b^{22}\,d^6+4279238656\,a^{31}\,b^{20}\,d^6+1923088384\,a^{33}\,b^{18}\,d^6-773849088\,a^{35}\,b^{16}\,d^6-1421344768\,a^{37}\,b^{14}\,d^6-587726848\,a^{39}\,b^{12}\,d^6-25165824\,a^{41}\,b^{10}\,d^6+25165824\,a^{43}\,b^8\,d^6\right)\right)\,\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+29491200\,a^{22}\,b^{26}\,d^4+190709760\,a^{24}\,b^{24}\,d^4+509214720\,a^{26}\,b^{22}\,d^4+701890560\,a^{28}\,b^{20}\,d^4+481689600\,a^{30}\,b^{18}\,d^4+68812800\,a^{32}\,b^{16}\,d^4-123863040\,a^{34}\,b^{14}\,d^4-80609280\,a^{36}\,b^{12}\,d^4-15728640\,a^{38}\,b^{10}\,d^4\right)\,\sqrt{\frac{a^3\,d^2+\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,a^{41}\,b^8\,d^5+96468992\,a^{39}\,b^{10}\,d^5+92536832\,a^{37}\,b^{12}\,d^5+1572864\,a^{35}\,b^{14}\,d^5+238551040\,a^{33}\,b^{16}\,d^5+767033344\,a^{31}\,b^{18}\,d^5+704643072\,a^{29}\,b^{20}\,d^5-37224448\,a^{27}\,b^{22}\,d^5-465043456\,a^{25}\,b^{24}\,d^5-290979840\,a^{23}\,b^{26}\,d^5-58982400\,a^{21}\,b^{28}\,d^5\right)+\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\left(\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(201326592\,a^{47}\,b^8\,d^9+1946157056\,a^{45}\,b^{10}\,d^9+8455716864\,a^{43}\,b^{12}\,d^9+21743271936\,a^{41}\,b^{14}\,d^9+36641439744\,a^{39}\,b^{16}\,d^9+42278584320\,a^{37}\,b^{18}\,d^9+33822867456\,a^{35}\,b^{20}\,d^9+18522046464\,a^{33}\,b^{22}\,d^9+6643777536\,a^{31}\,b^{24}\,d^9+1409286144\,a^{29}\,b^{26}\,d^9+134217728\,a^{27}\,b^{28}\,d^9\right)+251658240\,a^{24}\,b^{30}\,d^8+2382364672\,a^{26}\,b^{28}\,d^8+9948889088\,a^{28}\,b^{26}\,d^8+23924310016\,a^{30}\,b^{24}\,d^8+36071014400\,a^{32}\,b^{22}\,d^8+34292629504\,a^{34}\,b^{20}\,d^8+18555600896\,a^{36}\,b^{18}\,d^8+2483027968\,a^{38}\,b^{16}\,d^8-3841982464\,a^{40}\,b^{14}\,d^8-2852126720\,a^{42}\,b^{12}\,d^8-855638016\,a^{44}\,b^{10}\,d^8-100663296\,a^{46}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,a^{44}\,b^8\,d^7+721420288\,a^{42}\,b^{10}\,d^7+621805568\,a^{40}\,b^{12}\,d^7-2943352832\,a^{38}\,b^{14}\,d^7-8887730176\,a^{36}\,b^{16}\,d^7-9307160576\,a^{34}\,b^{18}\,d^7-337641472\,a^{32}\,b^{20}\,d^7+9560915968\,a^{30}\,b^{22}\,d^7+11144265728\,a^{28}\,b^{24}\,d^7+6295650304\,a^{26}\,b^{26}\,d^7+1871708160\,a^{24}\,b^{28}\,d^7+235929600\,a^{22}\,b^{30}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+117964800\,a^{21}\,b^{30}\,d^6+699924480\,a^{23}\,b^{28}\,d^6+1889533952\,a^{25}\,b^{26}\,d^6+3336568832\,a^{27}\,b^{24}\,d^6+4495245312\,a^{29}\,b^{22}\,d^6+4279238656\,a^{31}\,b^{20}\,d^6+1923088384\,a^{33}\,b^{18}\,d^6-773849088\,a^{35}\,b^{16}\,d^6-1421344768\,a^{37}\,b^{14}\,d^6-587726848\,a^{39}\,b^{12}\,d^6-25165824\,a^{41}\,b^{10}\,d^6+25165824\,a^{43}\,b^8\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}+29491200\,a^{22}\,b^{26}\,d^4+190709760\,a^{24}\,b^{24}\,d^4+509214720\,a^{26}\,b^{22}\,d^4+701890560\,a^{28}\,b^{20}\,d^4+481689600\,a^{30}\,b^{18}\,d^4+68812800\,a^{32}\,b^{16}\,d^4-123863040\,a^{34}\,b^{14}\,d^4-80609280\,a^{36}\,b^{12}\,d^4-15728640\,a^{38}\,b^{10}\,d^4\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,b^2\,d^4+6\,a^2\,b^4\,d^4-b^6\,d^4}-a^3\,d^2+3\,a\,b^2\,d^2}{4\,a^6\,d^4+12\,a^4\,b^2\,d^4+12\,a^2\,b^4\,d^4+4\,b^6\,d^4}}-\frac{\mathrm{atan}\left(\frac{a^{31}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,4608{}\mathrm{i}+a^{17}\,b^{14}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,101250{}\mathrm{i}+a^{19}\,b^{12}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,87750{}\mathrm{i}-a^{21}\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,171450{}\mathrm{i}-a^{23}\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,89790{}\mathrm{i}+a^{25}\,b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,169472{}\mathrm{i}-a^{27}\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,47424{}\mathrm{i}-a^{29}\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,9216{}\mathrm{i}}{a^{14}\,\sqrt{a^7}\,\left(101250\,b^{14}+87750\,a^2\,b^{12}-171450\,a^4\,b^{10}-89790\,a^6\,b^8+a^7\,\left(4608\,a^7-9216\,a^5\,b^2-47424\,a^3\,b^4+169472\,a\,b^6\right)\right)}\right)\,\left(a^2-\frac{15\,b^2}{8}\right)\,2{}\mathrm{i}}{d\,\sqrt{a^7}}","Not used",1,"((2*b^4)/(a*(a^2 + b^2)) - ((25*b^4 + 9*a^2*b^2)*(a + b*tan(c + d*x)))/(4*a^2*(a^2 + b^2)) + (b^2*(7*a^2 + 15*b^2)*(a + b*tan(c + d*x))^2)/(4*a^3*(a^2 + b^2)))/(d*(a + b*tan(c + d*x))^(5/2) - 2*a*d*(a + b*tan(c + d*x))^(3/2) + a^2*d*(a + b*tan(c + d*x))^(1/2)) + log((((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*((((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(251658240*a^24*b^30*d^8 - (a + b*tan(c + d*x))^(1/2)*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(134217728*a^27*b^28*d^9 + 1409286144*a^29*b^26*d^9 + 6643777536*a^31*b^24*d^9 + 18522046464*a^33*b^22*d^9 + 33822867456*a^35*b^20*d^9 + 42278584320*a^37*b^18*d^9 + 36641439744*a^39*b^16*d^9 + 21743271936*a^41*b^14*d^9 + 8455716864*a^43*b^12*d^9 + 1946157056*a^45*b^10*d^9 + 201326592*a^47*b^8*d^9) + 2382364672*a^26*b^28*d^8 + 9948889088*a^28*b^26*d^8 + 23924310016*a^30*b^24*d^8 + 36071014400*a^32*b^22*d^8 + 34292629504*a^34*b^20*d^8 + 18555600896*a^36*b^18*d^8 + 2483027968*a^38*b^16*d^8 - 3841982464*a^40*b^14*d^8 - 2852126720*a^42*b^12*d^8 - 855638016*a^44*b^10*d^8 - 100663296*a^46*b^8*d^8) + (a + b*tan(c + d*x))^(1/2)*(235929600*a^22*b^30*d^7 + 1871708160*a^24*b^28*d^7 + 6295650304*a^26*b^26*d^7 + 11144265728*a^28*b^24*d^7 + 9560915968*a^30*b^22*d^7 - 337641472*a^32*b^20*d^7 - 9307160576*a^34*b^18*d^7 - 8887730176*a^36*b^16*d^7 - 2943352832*a^38*b^14*d^7 + 621805568*a^40*b^12*d^7 + 721420288*a^42*b^10*d^7 + 150994944*a^44*b^8*d^7))*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 117964800*a^21*b^30*d^6 + 699924480*a^23*b^28*d^6 + 1889533952*a^25*b^26*d^6 + 3336568832*a^27*b^24*d^6 + 4495245312*a^29*b^22*d^6 + 4279238656*a^31*b^20*d^6 + 1923088384*a^33*b^18*d^6 - 773849088*a^35*b^16*d^6 - 1421344768*a^37*b^14*d^6 - 587726848*a^39*b^12*d^6 - 25165824*a^41*b^10*d^6 + 25165824*a^43*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(704643072*a^29*b^20*d^5 - 290979840*a^23*b^26*d^5 - 465043456*a^25*b^24*d^5 - 37224448*a^27*b^22*d^5 - 58982400*a^21*b^28*d^5 + 767033344*a^31*b^18*d^5 + 238551040*a^33*b^16*d^5 + 1572864*a^35*b^14*d^5 + 92536832*a^37*b^12*d^5 + 96468992*a^39*b^10*d^5 + 25165824*a^41*b^8*d^5))*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 29491200*a^22*b^26*d^4 + 190709760*a^24*b^24*d^4 + 509214720*a^26*b^22*d^4 + 701890560*a^28*b^20*d^4 + 481689600*a^30*b^18*d^4 + 68812800*a^32*b^16*d^4 - 123863040*a^34*b^14*d^4 - 80609280*a^36*b^12*d^4 - 15728640*a^38*b^10*d^4)*((((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) + a^3*d^2 - 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + log(((-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(((-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(251658240*a^24*b^30*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(134217728*a^27*b^28*d^9 + 1409286144*a^29*b^26*d^9 + 6643777536*a^31*b^24*d^9 + 18522046464*a^33*b^22*d^9 + 33822867456*a^35*b^20*d^9 + 42278584320*a^37*b^18*d^9 + 36641439744*a^39*b^16*d^9 + 21743271936*a^41*b^14*d^9 + 8455716864*a^43*b^12*d^9 + 1946157056*a^45*b^10*d^9 + 201326592*a^47*b^8*d^9) + 2382364672*a^26*b^28*d^8 + 9948889088*a^28*b^26*d^8 + 23924310016*a^30*b^24*d^8 + 36071014400*a^32*b^22*d^8 + 34292629504*a^34*b^20*d^8 + 18555600896*a^36*b^18*d^8 + 2483027968*a^38*b^16*d^8 - 3841982464*a^40*b^14*d^8 - 2852126720*a^42*b^12*d^8 - 855638016*a^44*b^10*d^8 - 100663296*a^46*b^8*d^8) + (a + b*tan(c + d*x))^(1/2)*(235929600*a^22*b^30*d^7 + 1871708160*a^24*b^28*d^7 + 6295650304*a^26*b^26*d^7 + 11144265728*a^28*b^24*d^7 + 9560915968*a^30*b^22*d^7 - 337641472*a^32*b^20*d^7 - 9307160576*a^34*b^18*d^7 - 8887730176*a^36*b^16*d^7 - 2943352832*a^38*b^14*d^7 + 621805568*a^40*b^12*d^7 + 721420288*a^42*b^10*d^7 + 150994944*a^44*b^8*d^7))*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 117964800*a^21*b^30*d^6 + 699924480*a^23*b^28*d^6 + 1889533952*a^25*b^26*d^6 + 3336568832*a^27*b^24*d^6 + 4495245312*a^29*b^22*d^6 + 4279238656*a^31*b^20*d^6 + 1923088384*a^33*b^18*d^6 - 773849088*a^35*b^16*d^6 - 1421344768*a^37*b^14*d^6 - 587726848*a^39*b^12*d^6 - 25165824*a^41*b^10*d^6 + 25165824*a^43*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(704643072*a^29*b^20*d^5 - 290979840*a^23*b^26*d^5 - 465043456*a^25*b^24*d^5 - 37224448*a^27*b^22*d^5 - 58982400*a^21*b^28*d^5 + 767033344*a^31*b^18*d^5 + 238551040*a^33*b^16*d^5 + 1572864*a^35*b^14*d^5 + 92536832*a^37*b^12*d^5 + 96468992*a^39*b^10*d^5 + 25165824*a^41*b^8*d^5))*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 29491200*a^22*b^26*d^4 + 190709760*a^24*b^24*d^4 + 509214720*a^26*b^22*d^4 + 701890560*a^28*b^20*d^4 + 481689600*a^30*b^18*d^4 + 68812800*a^32*b^16*d^4 - 123863040*a^34*b^14*d^4 - 80609280*a^36*b^12*d^4 - 15728640*a^38*b^10*d^4)*(-(((8*a^3*d^2 - 24*a*b^2*d^2)^2/64 - b^6*d^4 - a^6*d^4 - 3*a^2*b^4*d^4 - 3*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(704643072*a^29*b^20*d^5 - 290979840*a^23*b^26*d^5 - 465043456*a^25*b^24*d^5 - 37224448*a^27*b^22*d^5 - 58982400*a^21*b^28*d^5 + 767033344*a^31*b^18*d^5 + 238551040*a^33*b^16*d^5 + 1572864*a^35*b^14*d^5 + 92536832*a^37*b^12*d^5 + 96468992*a^39*b^10*d^5 + 25165824*a^41*b^8*d^5) + ((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*((((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(134217728*a^27*b^28*d^9 + 1409286144*a^29*b^26*d^9 + 6643777536*a^31*b^24*d^9 + 18522046464*a^33*b^22*d^9 + 33822867456*a^35*b^20*d^9 + 42278584320*a^37*b^18*d^9 + 36641439744*a^39*b^16*d^9 + 21743271936*a^41*b^14*d^9 + 8455716864*a^43*b^12*d^9 + 1946157056*a^45*b^10*d^9 + 201326592*a^47*b^8*d^9) + 251658240*a^24*b^30*d^8 + 2382364672*a^26*b^28*d^8 + 9948889088*a^28*b^26*d^8 + 23924310016*a^30*b^24*d^8 + 36071014400*a^32*b^22*d^8 + 34292629504*a^34*b^20*d^8 + 18555600896*a^36*b^18*d^8 + 2483027968*a^38*b^16*d^8 - 3841982464*a^40*b^14*d^8 - 2852126720*a^42*b^12*d^8 - 855638016*a^44*b^10*d^8 - 100663296*a^46*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(235929600*a^22*b^30*d^7 + 1871708160*a^24*b^28*d^7 + 6295650304*a^26*b^26*d^7 + 11144265728*a^28*b^24*d^7 + 9560915968*a^30*b^22*d^7 - 337641472*a^32*b^20*d^7 - 9307160576*a^34*b^18*d^7 - 8887730176*a^36*b^16*d^7 - 2943352832*a^38*b^14*d^7 + 621805568*a^40*b^12*d^7 + 721420288*a^42*b^10*d^7 + 150994944*a^44*b^8*d^7))*((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + 117964800*a^21*b^30*d^6 + 699924480*a^23*b^28*d^6 + 1889533952*a^25*b^26*d^6 + 3336568832*a^27*b^24*d^6 + 4495245312*a^29*b^22*d^6 + 4279238656*a^31*b^20*d^6 + 1923088384*a^33*b^18*d^6 - 773849088*a^35*b^16*d^6 - 1421344768*a^37*b^14*d^6 - 587726848*a^39*b^12*d^6 - 25165824*a^41*b^10*d^6 + 25165824*a^43*b^8*d^6))*((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + 29491200*a^22*b^26*d^4 + 190709760*a^24*b^24*d^4 + 509214720*a^26*b^22*d^4 + 701890560*a^28*b^20*d^4 + 481689600*a^30*b^18*d^4 + 68812800*a^32*b^16*d^4 - 123863040*a^34*b^14*d^4 - 80609280*a^36*b^12*d^4 - 15728640*a^38*b^10*d^4)*((a^3*d^2 + (6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(704643072*a^29*b^20*d^5 - 290979840*a^23*b^26*d^5 - 465043456*a^25*b^24*d^5 - 37224448*a^27*b^22*d^5 - 58982400*a^21*b^28*d^5 + 767033344*a^31*b^18*d^5 + 238551040*a^33*b^16*d^5 + 1572864*a^35*b^14*d^5 + 92536832*a^37*b^12*d^5 + 96468992*a^39*b^10*d^5 + 25165824*a^41*b^8*d^5) + (-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(((-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*((-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(134217728*a^27*b^28*d^9 + 1409286144*a^29*b^26*d^9 + 6643777536*a^31*b^24*d^9 + 18522046464*a^33*b^22*d^9 + 33822867456*a^35*b^20*d^9 + 42278584320*a^37*b^18*d^9 + 36641439744*a^39*b^16*d^9 + 21743271936*a^41*b^14*d^9 + 8455716864*a^43*b^12*d^9 + 1946157056*a^45*b^10*d^9 + 201326592*a^47*b^8*d^9) + 251658240*a^24*b^30*d^8 + 2382364672*a^26*b^28*d^8 + 9948889088*a^28*b^26*d^8 + 23924310016*a^30*b^24*d^8 + 36071014400*a^32*b^22*d^8 + 34292629504*a^34*b^20*d^8 + 18555600896*a^36*b^18*d^8 + 2483027968*a^38*b^16*d^8 - 3841982464*a^40*b^14*d^8 - 2852126720*a^42*b^12*d^8 - 855638016*a^44*b^10*d^8 - 100663296*a^46*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(235929600*a^22*b^30*d^7 + 1871708160*a^24*b^28*d^7 + 6295650304*a^26*b^26*d^7 + 11144265728*a^28*b^24*d^7 + 9560915968*a^30*b^22*d^7 - 337641472*a^32*b^20*d^7 - 9307160576*a^34*b^18*d^7 - 8887730176*a^36*b^16*d^7 - 2943352832*a^38*b^14*d^7 + 621805568*a^40*b^12*d^7 + 721420288*a^42*b^10*d^7 + 150994944*a^44*b^8*d^7))*(-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + 117964800*a^21*b^30*d^6 + 699924480*a^23*b^28*d^6 + 1889533952*a^25*b^26*d^6 + 3336568832*a^27*b^24*d^6 + 4495245312*a^29*b^22*d^6 + 4279238656*a^31*b^20*d^6 + 1923088384*a^33*b^18*d^6 - 773849088*a^35*b^16*d^6 - 1421344768*a^37*b^14*d^6 - 587726848*a^39*b^12*d^6 - 25165824*a^41*b^10*d^6 + 25165824*a^43*b^8*d^6))*(-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) + 29491200*a^22*b^26*d^4 + 190709760*a^24*b^24*d^4 + 509214720*a^26*b^22*d^4 + 701890560*a^28*b^20*d^4 + 481689600*a^30*b^18*d^4 + 68812800*a^32*b^16*d^4 - 123863040*a^34*b^14*d^4 - 80609280*a^36*b^12*d^4 - 15728640*a^38*b^10*d^4)*(-((6*a^2*b^4*d^4 - b^6*d^4 - 9*a^4*b^2*d^4)^(1/2) - a^3*d^2 + 3*a*b^2*d^2)/(4*a^6*d^4 + 4*b^6*d^4 + 12*a^2*b^4*d^4 + 12*a^4*b^2*d^4))^(1/2) - (atan((a^31*(a + b*tan(c + d*x))^(1/2)*4608i + a^17*b^14*(a + b*tan(c + d*x))^(1/2)*101250i + a^19*b^12*(a + b*tan(c + d*x))^(1/2)*87750i - a^21*b^10*(a + b*tan(c + d*x))^(1/2)*171450i - a^23*b^8*(a + b*tan(c + d*x))^(1/2)*89790i + a^25*b^6*(a + b*tan(c + d*x))^(1/2)*169472i - a^27*b^4*(a + b*tan(c + d*x))^(1/2)*47424i - a^29*b^2*(a + b*tan(c + d*x))^(1/2)*9216i)/(a^14*(a^7)^(1/2)*(101250*b^14 + 87750*a^2*b^12 - 171450*a^4*b^10 - 89790*a^6*b^8 + a^7*(169472*a*b^6 + 4608*a^7 - 47424*a^3*b^4 - 9216*a^5*b^2))))*(a^2 - (15*b^2)/8)*2i)/(d*(a^7)^(1/2))","B"
546,1,4681,291,14.333245,"\text{Not used}","int(tan(c + d*x)^5/(a + b*tan(c + d*x))^(5/2),x)","\frac{2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^4\,d}-\frac{6\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^4\,d}+\frac{\frac{2\,a^5}{3\,\left(a^2+b^2\right)}-\frac{2\,\left(3\,a^6+5\,a^4\,b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a^2+b^2\right)}^2}}{b^4\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}-\mathrm{atan}\left(\frac{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,1{}\mathrm{i}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,1{}\mathrm{i}}{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)-16\,b^{16}\,d^2-80\,a^2\,b^{14}\,d^2-144\,a^4\,b^{12}\,d^2-80\,a^6\,b^{10}\,d^2+80\,a^8\,b^8\,d^2+144\,a^{10}\,b^6\,d^2+80\,a^{12}\,b^4\,d^2+16\,a^{14}\,b^2\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4+\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}+\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4+\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}-16\,b^{16}\,d^2-80\,a^2\,b^{14}\,d^2-144\,a^4\,b^{12}\,d^2-80\,a^6\,b^{10}\,d^2+80\,a^8\,b^8\,d^2+144\,a^{10}\,b^6\,d^2+80\,a^{12}\,b^4\,d^2+16\,a^{14}\,b^2\,d^2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"atan(((((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 - ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 - ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i - (((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 + ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 + ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i)/((((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 - ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 - ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2) + (((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 + ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 + ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2) - 16*b^16*d^2 - 80*a^2*b^14*d^2 - 144*a^4*b^12*d^2 - 80*a^6*b^10*d^2 + 80*a^8*b^8*d^2 + 144*a^10*b^6*d^2 + 80*a^12*b^4*d^2 + 16*a^14*b^2*d^2))*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i - atan(((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*1i - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*1i)/((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)) + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)) - 16*b^16*d^2 - 80*a^2*b^14*d^2 - 144*a^4*b^12*d^2 - 80*a^6*b^10*d^2 + 80*a^8*b^8*d^2 + 144*a^10*b^6*d^2 + 80*a^12*b^4*d^2 + 16*a^14*b^2*d^2))*(1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(3/2))/(3*b^4*d) - (6*a*(a + b*tan(c + d*x))^(1/2))/(b^4*d) + ((2*a^5)/(3*(a^2 + b^2)) - (2*(3*a^6 + 5*a^4*b^2)*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(b^4*d*(a + b*tan(c + d*x))^(3/2))","B"
547,1,3739,226,11.238359,"\text{Not used}","int(tan(c + d*x)^4/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(16\,a\,b^{15}\,d^2-\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{2}\right)}{2}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)}{2}+96\,a^3\,b^{13}\,d^2+240\,a^5\,b^{11}\,d^2+320\,a^7\,b^9\,d^2+240\,a^9\,b^7\,d^2+96\,a^{11}\,b^5\,d^2+16\,a^{13}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(16\,a\,b^{15}\,d^2-\left(\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}+96\,a^3\,b^{13}\,d^2+240\,a^5\,b^{11}\,d^2+320\,a^7\,b^9\,d^2+240\,a^9\,b^7\,d^2+96\,a^{11}\,b^5\,d^2+16\,a^{13}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}+\frac{2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}-\frac{\frac{2\,a^4}{3\,\left(a^2+b^2\right)}-\frac{4\,a\,\left(a^4+2\,a^2\,b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a^2+b^2\right)}^2}}{b^3\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,1{}\mathrm{i}}{32\,a\,b^{15}\,d^2-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}+192\,a^3\,b^{13}\,d^2+480\,a^5\,b^{11}\,d^2+640\,a^7\,b^9\,d^2+480\,a^9\,b^7\,d^2+192\,a^{11}\,b^5\,d^2+32\,a^{13}\,b^3\,d^2}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(log(16*a*b^15*d^2 - ((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + ((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/2))/2 - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)))/2 + 96*a^3*b^13*d^2 + 240*a^5*b^11*d^2 + 320*a^7*b^9*d^2 + 240*a^9*b^7*d^2 + 96*a^11*b^5*d^2 + 16*a^13*b^3*d^2)*(-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2))/2 - log(16*a*b^15*d^2 - ((-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2) + 96*a^3*b^13*d^2 + 240*a^5*b^11*d^2 + 320*a^7*b^9*d^2 + 240*a^9*b^7*d^2 + 96*a^11*b^5*d^2 + 16*a^13*b^3*d^2)*(-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2) + atan((((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*1i - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*1i)/(32*a*b^15*d^2 - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2) - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2) + 192*a^3*b^13*d^2 + 480*a^5*b^11*d^2 + 640*a^7*b^9*d^2 + 480*a^9*b^7*d^2 + 192*a^11*b^5*d^2 + 32*a^13*b^3*d^2))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*2i + (2*(a + b*tan(c + d*x))^(1/2))/(b^3*d) - ((2*a^4)/(3*(a^2 + b^2)) - (4*a*(a^4 + 2*a^2*b^2)*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(b^3*d*(a + b*tan(c + d*x))^(3/2))","B"
548,1,4638,172,9.452464,"\text{Not used}","int(tan(c + d*x)^3/(a + b*tan(c + d*x))^(5/2),x)","\frac{\frac{2\,a^3}{3\,\left(a^2+b^2\right)}-\frac{2\,\left(a^4+3\,a^2\,b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a^2+b^2\right)}^2}}{b^2\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\mathrm{atan}\left(\frac{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,1{}\mathrm{i}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,1{}\mathrm{i}}{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)-16\,b^{16}\,d^2-80\,a^2\,b^{14}\,d^2-144\,a^4\,b^{12}\,d^2-80\,a^6\,b^{10}\,d^2+80\,a^8\,b^8\,d^2+144\,a^{10}\,b^6\,d^2+80\,a^{12}\,b^4\,d^2+16\,a^{14}\,b^2\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4+\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}+\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4+\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}-16\,b^{16}\,d^2-80\,a^2\,b^{14}\,d^2-144\,a^4\,b^{12}\,d^2-80\,a^6\,b^{10}\,d^2+80\,a^8\,b^8\,d^2+144\,a^{10}\,b^6\,d^2+80\,a^{12}\,b^4\,d^2+16\,a^{14}\,b^2\,d^2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"atan(((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*1i - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*1i)/((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)) + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)) - 16*b^16*d^2 - 80*a^2*b^14*d^2 - 144*a^4*b^12*d^2 - 80*a^6*b^10*d^2 + 80*a^8*b^8*d^2 + 144*a^10*b^6*d^2 + 80*a^12*b^4*d^2 + 16*a^14*b^2*d^2))*(1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*2i - atan(((((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 - ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 - ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i - (((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 + ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 + ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i)/((((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 - ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 - ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2) + (((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 + ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 + ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2) - 16*b^16*d^2 - 80*a^2*b^14*d^2 - 144*a^4*b^12*d^2 - 80*a^6*b^10*d^2 + 80*a^8*b^8*d^2 + 144*a^10*b^6*d^2 + 80*a^12*b^4*d^2 + 16*a^14*b^2*d^2))*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i + ((2*a^3)/(3*(a^2 + b^2)) - (2*(a^4 + 3*a^2*b^2)*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(b^2*d*(a + b*tan(c + d*x))^(3/2))","B"
549,1,3708,157,8.463602,"\text{Not used}","int(tan(c + d*x)^2/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{2}\right)}{2}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)}{2}-16\,a\,b^{15}\,d^2-96\,a^3\,b^{13}\,d^2-240\,a^5\,b^{11}\,d^2-320\,a^7\,b^9\,d^2-240\,a^9\,b^7\,d^2-96\,a^{11}\,b^5\,d^2-16\,a^{13}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\left(\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}-16\,a\,b^{15}\,d^2-96\,a^3\,b^{13}\,d^2-240\,a^5\,b^{11}\,d^2-320\,a^7\,b^9\,d^2-240\,a^9\,b^7\,d^2-96\,a^{11}\,b^5\,d^2-16\,a^{13}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}-\frac{\frac{2\,a^2}{3\,\left(a^2+b^2\right)}-\frac{4\,a\,b^2\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a^2+b^2\right)}^2}}{b\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,1{}\mathrm{i}}{32\,a\,b^{15}\,d^2-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}+192\,a^3\,b^{13}\,d^2+480\,a^5\,b^{11}\,d^2+640\,a^7\,b^9\,d^2+480\,a^9\,b^7\,d^2+192\,a^{11}\,b^5\,d^2+32\,a^{13}\,b^3\,d^2}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(log(((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - ((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/2))/2 + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)))/2 - 16*a*b^15*d^2 - 96*a^3*b^13*d^2 - 240*a^5*b^11*d^2 - 320*a^7*b^9*d^2 - 240*a^9*b^7*d^2 - 96*a^11*b^5*d^2 - 16*a^13*b^3*d^2)*(-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2))/2 - log(((-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + (-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2) - 16*a*b^15*d^2 - 96*a^3*b^13*d^2 - 240*a^5*b^11*d^2 - 320*a^7*b^9*d^2 - 240*a^9*b^7*d^2 - 96*a^11*b^5*d^2 - 16*a^13*b^3*d^2)*(-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2) - atan((((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*1i - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*1i)/(32*a*b^15*d^2 - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2) - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2) + 192*a^3*b^13*d^2 + 480*a^5*b^11*d^2 + 640*a^7*b^9*d^2 + 480*a^9*b^7*d^2 + 192*a^11*b^5*d^2 + 32*a^13*b^3*d^2))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*2i - ((2*a^2)/(3*(a^2 + b^2)) - (4*a*b^2*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(b*d*(a + b*tan(c + d*x))^(3/2))","B"
550,1,4630,155,9.629032,"\text{Not used}","int(tan(c + d*x)/(a + b*tan(c + d*x))^(5/2),x)","\frac{\frac{2\,a}{3\,\left(a^2+b^2\right)}+\frac{2\,\left(a^2-b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a^2+b^2\right)}^2}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}-\mathrm{atan}\left(\frac{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,1{}\mathrm{i}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,1{}\mathrm{i}}{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(96\,a\,b^{20}\,d^4+736\,a^3\,b^{18}\,d^4+2432\,a^5\,b^{16}\,d^4+4480\,a^7\,b^{14}\,d^4+4928\,a^9\,b^{12}\,d^4+3136\,a^{11}\,b^{10}\,d^4+896\,a^{13}\,b^8\,d^4-128\,a^{15}\,b^6\,d^4-160\,a^{17}\,b^4\,d^4-32\,a^{19}\,b^2\,d^4-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)-16\,b^{16}\,d^2-80\,a^2\,b^{14}\,d^2-144\,a^4\,b^{12}\,d^2-80\,a^6\,b^{10}\,d^2+80\,a^8\,b^8\,d^2+144\,a^{10}\,b^6\,d^2+80\,a^{12}\,b^4\,d^2+16\,a^{14}\,b^2\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4+\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}+\left(\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(48\,a\,b^{20}\,d^4+\frac{\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{4}+368\,a^3\,b^{18}\,d^4+1216\,a^5\,b^{16}\,d^4+2240\,a^7\,b^{14}\,d^4+2464\,a^9\,b^{12}\,d^4+1568\,a^{11}\,b^{10}\,d^4+448\,a^{13}\,b^8\,d^4-64\,a^{15}\,b^6\,d^4-80\,a^{17}\,b^4\,d^4-16\,a^{19}\,b^2\,d^4\right)}{2}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)}{2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}-16\,b^{16}\,d^2-80\,a^2\,b^{14}\,d^2-144\,a^4\,b^{12}\,d^2-80\,a^6\,b^{10}\,d^2+80\,a^8\,b^8\,d^2+144\,a^{10}\,b^6\,d^2+80\,a^{12}\,b^4\,d^2+16\,a^{14}\,b^2\,d^2}\right)\,\sqrt{\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}","Not used",1,"atan(((((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 - ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 - ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i - (((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 + ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 + ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i)/((((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 - ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 - ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2) + (((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(48*a*b^20*d^4 + ((1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/4 + 368*a^3*b^18*d^4 + 1216*a^5*b^16*d^4 + 2240*a^7*b^14*d^4 + 2464*a^9*b^12*d^4 + 1568*a^11*b^10*d^4 + 448*a^13*b^8*d^4 - 64*a^15*b^6*d^4 - 80*a^17*b^4*d^4 - 16*a^19*b^2*d^4))/2 + ((a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))/2)*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2) - 16*b^16*d^2 - 80*a^2*b^14*d^2 - 144*a^4*b^12*d^2 - 80*a^6*b^10*d^2 + 80*a^8*b^8*d^2 + 144*a^10*b^6*d^2 + 80*a^12*b^4*d^2 + 16*a^14*b^2*d^2))*(1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*1i - atan(((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*1i - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*1i)/((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)) + (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*((1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(96*a*b^20*d^4 + 736*a^3*b^18*d^4 + 2432*a^5*b^16*d^4 + 4480*a^7*b^14*d^4 + 4928*a^9*b^12*d^4 + 3136*a^11*b^10*d^4 + 896*a^13*b^8*d^4 - 128*a^15*b^6*d^4 - 160*a^17*b^4*d^4 - 32*a^19*b^2*d^4 - (1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)) - 16*b^16*d^2 - 80*a^2*b^14*d^2 - 144*a^4*b^12*d^2 - 80*a^6*b^10*d^2 + 80*a^8*b^8*d^2 + 144*a^10*b^6*d^2 + 80*a^12*b^4*d^2 + 16*a^14*b^2*d^2))*(1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*2i + ((2*a)/(3*(a^2 + b^2)) + (2*(a^2 - b^2)*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2))","B"
551,1,3703,152,8.859867,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(16\,a\,b^{15}\,d^2-\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\frac{\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)}{2}\right)}{2}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)}{2}+96\,a^3\,b^{13}\,d^2+240\,a^5\,b^{11}\,d^2+320\,a^7\,b^9\,d^2+240\,a^9\,b^7\,d^2+96\,a^{11}\,b^5\,d^2+16\,a^{13}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(16\,a\,b^{15}\,d^2-\left(\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}+96\,a^3\,b^{13}\,d^2+240\,a^5\,b^{11}\,d^2+320\,a^7\,b^9\,d^2+240\,a^9\,b^7\,d^2+96\,a^{11}\,b^5\,d^2+16\,a^{13}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{4\,\left(a^5\,d^2-a^4\,b\,d^2\,5{}\mathrm{i}-10\,a^3\,b^2\,d^2+a^2\,b^3\,d^2\,10{}\mathrm{i}+5\,a\,b^4\,d^2-b^5\,d^2\,1{}\mathrm{i}\right)}}-\frac{\frac{2\,b}{3\,\left(a^2+b^2\right)}+\frac{4\,a\,b\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a^2+b^2\right)}^2}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,1{}\mathrm{i}}{32\,a\,b^{15}\,d^2-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\left(896\,a^6\,b^{15}\,d^4-160\,a^2\,b^{19}\,d^4-128\,a^4\,b^{17}\,d^4-32\,b^{21}\,d^4+3136\,a^8\,b^{13}\,d^4+4928\,a^{10}\,b^{11}\,d^4+4480\,a^{12}\,b^9\,d^4+2432\,a^{14}\,b^7\,d^4+736\,a^{16}\,b^5\,d^4+96\,a^{18}\,b^3\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^2\,d^5+640\,a^{19}\,b^4\,d^5+2880\,a^{17}\,b^6\,d^5+7680\,a^{15}\,b^8\,d^5+13440\,a^{13}\,b^{10}\,d^5+16128\,a^{11}\,b^{12}\,d^5+13440\,a^9\,b^{14}\,d^5+7680\,a^7\,b^{16}\,d^5+2880\,a^5\,b^{18}\,d^5+640\,a^3\,b^{20}\,d^5+64\,a\,b^{22}\,d^5\right)\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^2\,d^3+320\,a^{12}\,b^6\,d^3+1024\,a^{10}\,b^8\,d^3+1440\,a^8\,b^{10}\,d^3+1024\,a^6\,b^{12}\,d^3+320\,a^4\,b^{14}\,d^3-16\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}+192\,a^3\,b^{13}\,d^2+480\,a^5\,b^{11}\,d^2+640\,a^7\,b^9\,d^2+480\,a^9\,b^7\,d^2+192\,a^{11}\,b^5\,d^2+32\,a^{13}\,b^3\,d^2}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^5\,d^2\,1{}\mathrm{i}-5\,a^4\,b\,d^2-a^3\,b^2\,d^2\,10{}\mathrm{i}+10\,a^2\,b^3\,d^2+a\,b^4\,d^2\,5{}\mathrm{i}-b^5\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(log(16*a*b^15*d^2 - ((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + ((-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5))/2))/2 - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3)))/2 + 96*a^3*b^13*d^2 + 240*a^5*b^11*d^2 + 320*a^7*b^9*d^2 + 240*a^9*b^7*d^2 + 96*a^11*b^5*d^2 + 16*a^13*b^3*d^2)*(-1/(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2))^(1/2))/2 - log(16*a*b^15*d^2 - ((-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2) + 96*a^3*b^13*d^2 + 240*a^5*b^11*d^2 + 320*a^7*b^9*d^2 + 240*a^9*b^7*d^2 + 96*a^11*b^5*d^2 + 16*a^13*b^3*d^2)*(-1/(4*(a^5*d^2 - b^5*d^2*1i + 5*a*b^4*d^2 - a^4*b*d^2*5i + a^2*b^3*d^2*10i - 10*a^3*b^2*d^2)))^(1/2) + atan((((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*1i - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*1i)/(32*a*b^15*d^2 - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 - (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2) - ((-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(896*a^6*b^15*d^4 - 160*a^2*b^19*d^4 - 128*a^4*b^17*d^4 - 32*b^21*d^4 + 3136*a^8*b^13*d^4 + 4928*a^10*b^11*d^4 + 4480*a^12*b^9*d^4 + 2432*a^14*b^7*d^4 + 736*a^16*b^5*d^4 + 96*a^18*b^3*d^4 + (-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^22*d^5 + 640*a^3*b^20*d^5 + 2880*a^5*b^18*d^5 + 7680*a^7*b^16*d^5 + 13440*a^9*b^14*d^5 + 16128*a^11*b^12*d^5 + 13440*a^13*b^10*d^5 + 7680*a^15*b^8*d^5 + 2880*a^17*b^6*d^5 + 640*a^19*b^4*d^5 + 64*a^21*b^2*d^5)) - (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^14*d^3 - 16*b^18*d^3 + 1024*a^6*b^12*d^3 + 1440*a^8*b^10*d^3 + 1024*a^10*b^8*d^3 + 320*a^12*b^6*d^3 - 16*a^16*b^2*d^3))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2) + 192*a^3*b^13*d^2 + 480*a^5*b^11*d^2 + 640*a^7*b^9*d^2 + 480*a^9*b^7*d^2 + 192*a^11*b^5*d^2 + 32*a^13*b^3*d^2))*(-1i/(4*(a^5*d^2*1i - b^5*d^2 + a*b^4*d^2*5i - 5*a^4*b*d^2 + 10*a^2*b^3*d^2 - a^3*b^2*d^2*10i)))^(1/2)*2i - ((2*b)/(3*(a^2 + b^2)) + (4*a*b*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2))","B"
552,1,13727,195,4.892222,"\text{Not used}","int(cot(c + d*x)/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-96\,a^{46}\,b^8\,d^5-960\,a^{44}\,b^{10}\,d^5-3424\,a^{42}\,b^{12}\,d^5-896\,a^{40}\,b^{14}\,d^5+37856\,a^{38}\,b^{16}\,d^5+168896\,a^{36}\,b^{18}\,d^5+416416\,a^{34}\,b^{20}\,d^5+695552\,a^{32}\,b^{22}\,d^5+837408\,a^{30}\,b^{24}\,d^5+741312\,a^{28}\,b^{26}\,d^5+480480\,a^{26}\,b^{28}\,d^5+221312\,a^{24}\,b^{30}\,d^5+66976\,a^{22}\,b^{32}\,d^5+10304\,a^{20}\,b^{34}\,d^5-544\,a^{18}\,b^{36}\,d^5-512\,a^{16}\,b^{38}\,d^5-64\,a^{14}\,b^{40}\,d^5\right)-\frac{\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(384\,a^{15}\,b^{42}\,d^6-\frac{\left(\frac{\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(512\,a^{16}\,b^{46}\,d^8-\frac{\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{56}\,b^8\,d^9+14336\,a^{54}\,b^{10}\,d^9+126720\,a^{52}\,b^{12}\,d^9+705024\,a^{50}\,b^{14}\,d^9+2767872\,a^{48}\,b^{16}\,d^9+8146944\,a^{46}\,b^{18}\,d^9+18643968\,a^{44}\,b^{20}\,d^9+33945600\,a^{42}\,b^{22}\,d^9+49900032\,a^{40}\,b^{24}\,d^9+59744256\,a^{38}\,b^{26}\,d^9+58499584\,a^{36}\,b^{28}\,d^9+46844928\,a^{34}\,b^{30}\,d^9+30551040\,a^{32}\,b^{32}\,d^9+16084992\,a^{30}\,b^{34}\,d^9+6736896\,a^{28}\,b^{36}\,d^9+2193408\,a^{26}\,b^{38}\,d^9+535296\,a^{24}\,b^{40}\,d^9+92160\,a^{22}\,b^{42}\,d^9+9984\,a^{20}\,b^{44}\,d^9+512\,a^{18}\,b^{46}\,d^9\right)}{2}+9728\,a^{18}\,b^{44}\,d^8+87936\,a^{20}\,b^{42}\,d^8+502144\,a^{22}\,b^{40}\,d^8+2028544\,a^{24}\,b^{38}\,d^8+6153216\,a^{26}\,b^{36}\,d^8+14518784\,a^{28}\,b^{34}\,d^8+27243008\,a^{30}\,b^{32}\,d^8+41213952\,a^{32}\,b^{30}\,d^8+50665472\,a^{34}\,b^{28}\,d^8+50775296\,a^{36}\,b^{26}\,d^8+41443584\,a^{38}\,b^{24}\,d^8+27409408\,a^{40}\,b^{22}\,d^8+14543872\,a^{42}\,b^{20}\,d^8+6093312\,a^{44}\,b^{18}\,d^8+1966592\,a^{46}\,b^{16}\,d^8+470528\,a^{48}\,b^{14}\,d^8+78336\,a^{50}\,b^{12}\,d^8+8064\,a^{52}\,b^{10}\,d^8+384\,a^{54}\,b^8\,d^8\right)}{2}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{51}\,b^8\,d^7+6144\,a^{49}\,b^{10}\,d^7+28416\,a^{47}\,b^{12}\,d^7+76288\,a^{45}\,b^{14}\,d^7+154368\,a^{43}\,b^{16}\,d^7+376320\,a^{41}\,b^{18}\,d^7+1164800\,a^{39}\,b^{20}\,d^7+3095040\,a^{37}\,b^{22}\,d^7+6095232\,a^{35}\,b^{24}\,d^7+8859136\,a^{33}\,b^{26}\,d^7+9664512\,a^{31}\,b^{28}\,d^7+8007168\,a^{29}\,b^{30}\,d^7+5055232\,a^{27}\,b^{32}\,d^7+2419200\,a^{25}\,b^{34}\,d^7+864768\,a^{23}\,b^{36}\,d^7+224768\,a^{21}\,b^{38}\,d^7+40512\,a^{19}\,b^{40}\,d^7+4608\,a^{17}\,b^{42}\,d^7+256\,a^{15}\,b^{44}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+7296\,a^{17}\,b^{40}\,d^6+59424\,a^{19}\,b^{38}\,d^6+280992\,a^{21}\,b^{36}\,d^6+866208\,a^{23}\,b^{34}\,d^6+1825824\,a^{25}\,b^{32}\,d^6+2629536\,a^{27}\,b^{30}\,d^6+2374944\,a^{29}\,b^{28}\,d^6+727584\,a^{31}\,b^{26}\,d^6-1413984\,a^{33}\,b^{24}\,d^6-2649504\,a^{35}\,b^{22}\,d^6-2454816\,a^{37}\,b^{20}\,d^6-1476384\,a^{39}\,b^{18}\,d^6-597408\,a^{41}\,b^{16}\,d^6-156192\,a^{43}\,b^{14}\,d^6-22944\,a^{45}\,b^{12}\,d^6-1056\,a^{47}\,b^{10}\,d^6+96\,a^{49}\,b^8\,d^6\right)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+32\,a^{14}\,b^{38}\,d^4+448\,a^{16}\,b^{36}\,d^4+2912\,a^{18}\,b^{34}\,d^4+11648\,a^{20}\,b^{32}\,d^4+32032\,a^{22}\,b^{30}\,d^4+64064\,a^{24}\,b^{28}\,d^4+96096\,a^{26}\,b^{26}\,d^4+109824\,a^{28}\,b^{24}\,d^4+96096\,a^{30}\,b^{22}\,d^4+64064\,a^{32}\,b^{20}\,d^4+32032\,a^{34}\,b^{18}\,d^4+11648\,a^{36}\,b^{16}\,d^4+2912\,a^{38}\,b^{14}\,d^4+448\,a^{40}\,b^{12}\,d^4+32\,a^{42}\,b^{10}\,d^4\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-96\,a^{46}\,b^8\,d^5-960\,a^{44}\,b^{10}\,d^5-3424\,a^{42}\,b^{12}\,d^5-896\,a^{40}\,b^{14}\,d^5+37856\,a^{38}\,b^{16}\,d^5+168896\,a^{36}\,b^{18}\,d^5+416416\,a^{34}\,b^{20}\,d^5+695552\,a^{32}\,b^{22}\,d^5+837408\,a^{30}\,b^{24}\,d^5+741312\,a^{28}\,b^{26}\,d^5+480480\,a^{26}\,b^{28}\,d^5+221312\,a^{24}\,b^{30}\,d^5+66976\,a^{22}\,b^{32}\,d^5+10304\,a^{20}\,b^{34}\,d^5-544\,a^{18}\,b^{36}\,d^5-512\,a^{16}\,b^{38}\,d^5-64\,a^{14}\,b^{40}\,d^5\right)-\frac{\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(384\,a^{15}\,b^{42}\,d^6-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(512\,a^{16}\,b^{46}\,d^8-\frac{\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{56}\,b^8\,d^9+14336\,a^{54}\,b^{10}\,d^9+126720\,a^{52}\,b^{12}\,d^9+705024\,a^{50}\,b^{14}\,d^9+2767872\,a^{48}\,b^{16}\,d^9+8146944\,a^{46}\,b^{18}\,d^9+18643968\,a^{44}\,b^{20}\,d^9+33945600\,a^{42}\,b^{22}\,d^9+49900032\,a^{40}\,b^{24}\,d^9+59744256\,a^{38}\,b^{26}\,d^9+58499584\,a^{36}\,b^{28}\,d^9+46844928\,a^{34}\,b^{30}\,d^9+30551040\,a^{32}\,b^{32}\,d^9+16084992\,a^{30}\,b^{34}\,d^9+6736896\,a^{28}\,b^{36}\,d^9+2193408\,a^{26}\,b^{38}\,d^9+535296\,a^{24}\,b^{40}\,d^9+92160\,a^{22}\,b^{42}\,d^9+9984\,a^{20}\,b^{44}\,d^9+512\,a^{18}\,b^{46}\,d^9\right)}{2}+9728\,a^{18}\,b^{44}\,d^8+87936\,a^{20}\,b^{42}\,d^8+502144\,a^{22}\,b^{40}\,d^8+2028544\,a^{24}\,b^{38}\,d^8+6153216\,a^{26}\,b^{36}\,d^8+14518784\,a^{28}\,b^{34}\,d^8+27243008\,a^{30}\,b^{32}\,d^8+41213952\,a^{32}\,b^{30}\,d^8+50665472\,a^{34}\,b^{28}\,d^8+50775296\,a^{36}\,b^{26}\,d^8+41443584\,a^{38}\,b^{24}\,d^8+27409408\,a^{40}\,b^{22}\,d^8+14543872\,a^{42}\,b^{20}\,d^8+6093312\,a^{44}\,b^{18}\,d^8+1966592\,a^{46}\,b^{16}\,d^8+470528\,a^{48}\,b^{14}\,d^8+78336\,a^{50}\,b^{12}\,d^8+8064\,a^{52}\,b^{10}\,d^8+384\,a^{54}\,b^8\,d^8\right)}{2}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{51}\,b^8\,d^7+6144\,a^{49}\,b^{10}\,d^7+28416\,a^{47}\,b^{12}\,d^7+76288\,a^{45}\,b^{14}\,d^7+154368\,a^{43}\,b^{16}\,d^7+376320\,a^{41}\,b^{18}\,d^7+1164800\,a^{39}\,b^{20}\,d^7+3095040\,a^{37}\,b^{22}\,d^7+6095232\,a^{35}\,b^{24}\,d^7+8859136\,a^{33}\,b^{26}\,d^7+9664512\,a^{31}\,b^{28}\,d^7+8007168\,a^{29}\,b^{30}\,d^7+5055232\,a^{27}\,b^{32}\,d^7+2419200\,a^{25}\,b^{34}\,d^7+864768\,a^{23}\,b^{36}\,d^7+224768\,a^{21}\,b^{38}\,d^7+40512\,a^{19}\,b^{40}\,d^7+4608\,a^{17}\,b^{42}\,d^7+256\,a^{15}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+7296\,a^{17}\,b^{40}\,d^6+59424\,a^{19}\,b^{38}\,d^6+280992\,a^{21}\,b^{36}\,d^6+866208\,a^{23}\,b^{34}\,d^6+1825824\,a^{25}\,b^{32}\,d^6+2629536\,a^{27}\,b^{30}\,d^6+2374944\,a^{29}\,b^{28}\,d^6+727584\,a^{31}\,b^{26}\,d^6-1413984\,a^{33}\,b^{24}\,d^6-2649504\,a^{35}\,b^{22}\,d^6-2454816\,a^{37}\,b^{20}\,d^6-1476384\,a^{39}\,b^{18}\,d^6-597408\,a^{41}\,b^{16}\,d^6-156192\,a^{43}\,b^{14}\,d^6-22944\,a^{45}\,b^{12}\,d^6-1056\,a^{47}\,b^{10}\,d^6+96\,a^{49}\,b^8\,d^6\right)}{2}\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+32\,a^{14}\,b^{38}\,d^4+448\,a^{16}\,b^{36}\,d^4+2912\,a^{18}\,b^{34}\,d^4+11648\,a^{20}\,b^{32}\,d^4+32032\,a^{22}\,b^{30}\,d^4+64064\,a^{24}\,b^{28}\,d^4+96096\,a^{26}\,b^{26}\,d^4+109824\,a^{28}\,b^{24}\,d^4+96096\,a^{30}\,b^{22}\,d^4+64064\,a^{32}\,b^{20}\,d^4+32032\,a^{34}\,b^{18}\,d^4+11648\,a^{36}\,b^{16}\,d^4+2912\,a^{38}\,b^{14}\,d^4+448\,a^{40}\,b^{12}\,d^4+32\,a^{42}\,b^{10}\,d^4\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}-\ln\left(32\,a^{14}\,b^{38}\,d^4-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-96\,a^{46}\,b^8\,d^5-960\,a^{44}\,b^{10}\,d^5-3424\,a^{42}\,b^{12}\,d^5-896\,a^{40}\,b^{14}\,d^5+37856\,a^{38}\,b^{16}\,d^5+168896\,a^{36}\,b^{18}\,d^5+416416\,a^{34}\,b^{20}\,d^5+695552\,a^{32}\,b^{22}\,d^5+837408\,a^{30}\,b^{24}\,d^5+741312\,a^{28}\,b^{26}\,d^5+480480\,a^{26}\,b^{28}\,d^5+221312\,a^{24}\,b^{30}\,d^5+66976\,a^{22}\,b^{32}\,d^5+10304\,a^{20}\,b^{34}\,d^5-544\,a^{18}\,b^{36}\,d^5-512\,a^{16}\,b^{38}\,d^5-64\,a^{14}\,b^{40}\,d^5\right)+\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(384\,a^{15}\,b^{42}\,d^6-\left(\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{56}\,b^8\,d^9+14336\,a^{54}\,b^{10}\,d^9+126720\,a^{52}\,b^{12}\,d^9+705024\,a^{50}\,b^{14}\,d^9+2767872\,a^{48}\,b^{16}\,d^9+8146944\,a^{46}\,b^{18}\,d^9+18643968\,a^{44}\,b^{20}\,d^9+33945600\,a^{42}\,b^{22}\,d^9+49900032\,a^{40}\,b^{24}\,d^9+59744256\,a^{38}\,b^{26}\,d^9+58499584\,a^{36}\,b^{28}\,d^9+46844928\,a^{34}\,b^{30}\,d^9+30551040\,a^{32}\,b^{32}\,d^9+16084992\,a^{30}\,b^{34}\,d^9+6736896\,a^{28}\,b^{36}\,d^9+2193408\,a^{26}\,b^{38}\,d^9+535296\,a^{24}\,b^{40}\,d^9+92160\,a^{22}\,b^{42}\,d^9+9984\,a^{20}\,b^{44}\,d^9+512\,a^{18}\,b^{46}\,d^9\right)+512\,a^{16}\,b^{46}\,d^8+9728\,a^{18}\,b^{44}\,d^8+87936\,a^{20}\,b^{42}\,d^8+502144\,a^{22}\,b^{40}\,d^8+2028544\,a^{24}\,b^{38}\,d^8+6153216\,a^{26}\,b^{36}\,d^8+14518784\,a^{28}\,b^{34}\,d^8+27243008\,a^{30}\,b^{32}\,d^8+41213952\,a^{32}\,b^{30}\,d^8+50665472\,a^{34}\,b^{28}\,d^8+50775296\,a^{36}\,b^{26}\,d^8+41443584\,a^{38}\,b^{24}\,d^8+27409408\,a^{40}\,b^{22}\,d^8+14543872\,a^{42}\,b^{20}\,d^8+6093312\,a^{44}\,b^{18}\,d^8+1966592\,a^{46}\,b^{16}\,d^8+470528\,a^{48}\,b^{14}\,d^8+78336\,a^{50}\,b^{12}\,d^8+8064\,a^{52}\,b^{10}\,d^8+384\,a^{54}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{51}\,b^8\,d^7+6144\,a^{49}\,b^{10}\,d^7+28416\,a^{47}\,b^{12}\,d^7+76288\,a^{45}\,b^{14}\,d^7+154368\,a^{43}\,b^{16}\,d^7+376320\,a^{41}\,b^{18}\,d^7+1164800\,a^{39}\,b^{20}\,d^7+3095040\,a^{37}\,b^{22}\,d^7+6095232\,a^{35}\,b^{24}\,d^7+8859136\,a^{33}\,b^{26}\,d^7+9664512\,a^{31}\,b^{28}\,d^7+8007168\,a^{29}\,b^{30}\,d^7+5055232\,a^{27}\,b^{32}\,d^7+2419200\,a^{25}\,b^{34}\,d^7+864768\,a^{23}\,b^{36}\,d^7+224768\,a^{21}\,b^{38}\,d^7+40512\,a^{19}\,b^{40}\,d^7+4608\,a^{17}\,b^{42}\,d^7+256\,a^{15}\,b^{44}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}+7296\,a^{17}\,b^{40}\,d^6+59424\,a^{19}\,b^{38}\,d^6+280992\,a^{21}\,b^{36}\,d^6+866208\,a^{23}\,b^{34}\,d^6+1825824\,a^{25}\,b^{32}\,d^6+2629536\,a^{27}\,b^{30}\,d^6+2374944\,a^{29}\,b^{28}\,d^6+727584\,a^{31}\,b^{26}\,d^6-1413984\,a^{33}\,b^{24}\,d^6-2649504\,a^{35}\,b^{22}\,d^6-2454816\,a^{37}\,b^{20}\,d^6-1476384\,a^{39}\,b^{18}\,d^6-597408\,a^{41}\,b^{16}\,d^6-156192\,a^{43}\,b^{14}\,d^6-22944\,a^{45}\,b^{12}\,d^6-1056\,a^{47}\,b^{10}\,d^6+96\,a^{49}\,b^8\,d^6\right)\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}+448\,a^{16}\,b^{36}\,d^4+2912\,a^{18}\,b^{34}\,d^4+11648\,a^{20}\,b^{32}\,d^4+32032\,a^{22}\,b^{30}\,d^4+64064\,a^{24}\,b^{28}\,d^4+96096\,a^{26}\,b^{26}\,d^4+109824\,a^{28}\,b^{24}\,d^4+96096\,a^{30}\,b^{22}\,d^4+64064\,a^{32}\,b^{20}\,d^4+32032\,a^{34}\,b^{18}\,d^4+11648\,a^{36}\,b^{16}\,d^4+2912\,a^{38}\,b^{14}\,d^4+448\,a^{40}\,b^{12}\,d^4+32\,a^{42}\,b^{10}\,d^4\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}-\ln\left(32\,a^{14}\,b^{38}\,d^4-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-96\,a^{46}\,b^8\,d^5-960\,a^{44}\,b^{10}\,d^5-3424\,a^{42}\,b^{12}\,d^5-896\,a^{40}\,b^{14}\,d^5+37856\,a^{38}\,b^{16}\,d^5+168896\,a^{36}\,b^{18}\,d^5+416416\,a^{34}\,b^{20}\,d^5+695552\,a^{32}\,b^{22}\,d^5+837408\,a^{30}\,b^{24}\,d^5+741312\,a^{28}\,b^{26}\,d^5+480480\,a^{26}\,b^{28}\,d^5+221312\,a^{24}\,b^{30}\,d^5+66976\,a^{22}\,b^{32}\,d^5+10304\,a^{20}\,b^{34}\,d^5-544\,a^{18}\,b^{36}\,d^5-512\,a^{16}\,b^{38}\,d^5-64\,a^{14}\,b^{40}\,d^5\right)+\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(384\,a^{15}\,b^{42}\,d^6-\left(\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{56}\,b^8\,d^9+14336\,a^{54}\,b^{10}\,d^9+126720\,a^{52}\,b^{12}\,d^9+705024\,a^{50}\,b^{14}\,d^9+2767872\,a^{48}\,b^{16}\,d^9+8146944\,a^{46}\,b^{18}\,d^9+18643968\,a^{44}\,b^{20}\,d^9+33945600\,a^{42}\,b^{22}\,d^9+49900032\,a^{40}\,b^{24}\,d^9+59744256\,a^{38}\,b^{26}\,d^9+58499584\,a^{36}\,b^{28}\,d^9+46844928\,a^{34}\,b^{30}\,d^9+30551040\,a^{32}\,b^{32}\,d^9+16084992\,a^{30}\,b^{34}\,d^9+6736896\,a^{28}\,b^{36}\,d^9+2193408\,a^{26}\,b^{38}\,d^9+535296\,a^{24}\,b^{40}\,d^9+92160\,a^{22}\,b^{42}\,d^9+9984\,a^{20}\,b^{44}\,d^9+512\,a^{18}\,b^{46}\,d^9\right)+512\,a^{16}\,b^{46}\,d^8+9728\,a^{18}\,b^{44}\,d^8+87936\,a^{20}\,b^{42}\,d^8+502144\,a^{22}\,b^{40}\,d^8+2028544\,a^{24}\,b^{38}\,d^8+6153216\,a^{26}\,b^{36}\,d^8+14518784\,a^{28}\,b^{34}\,d^8+27243008\,a^{30}\,b^{32}\,d^8+41213952\,a^{32}\,b^{30}\,d^8+50665472\,a^{34}\,b^{28}\,d^8+50775296\,a^{36}\,b^{26}\,d^8+41443584\,a^{38}\,b^{24}\,d^8+27409408\,a^{40}\,b^{22}\,d^8+14543872\,a^{42}\,b^{20}\,d^8+6093312\,a^{44}\,b^{18}\,d^8+1966592\,a^{46}\,b^{16}\,d^8+470528\,a^{48}\,b^{14}\,d^8+78336\,a^{50}\,b^{12}\,d^8+8064\,a^{52}\,b^{10}\,d^8+384\,a^{54}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,a^{51}\,b^8\,d^7+6144\,a^{49}\,b^{10}\,d^7+28416\,a^{47}\,b^{12}\,d^7+76288\,a^{45}\,b^{14}\,d^7+154368\,a^{43}\,b^{16}\,d^7+376320\,a^{41}\,b^{18}\,d^7+1164800\,a^{39}\,b^{20}\,d^7+3095040\,a^{37}\,b^{22}\,d^7+6095232\,a^{35}\,b^{24}\,d^7+8859136\,a^{33}\,b^{26}\,d^7+9664512\,a^{31}\,b^{28}\,d^7+8007168\,a^{29}\,b^{30}\,d^7+5055232\,a^{27}\,b^{32}\,d^7+2419200\,a^{25}\,b^{34}\,d^7+864768\,a^{23}\,b^{36}\,d^7+224768\,a^{21}\,b^{38}\,d^7+40512\,a^{19}\,b^{40}\,d^7+4608\,a^{17}\,b^{42}\,d^7+256\,a^{15}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}+7296\,a^{17}\,b^{40}\,d^6+59424\,a^{19}\,b^{38}\,d^6+280992\,a^{21}\,b^{36}\,d^6+866208\,a^{23}\,b^{34}\,d^6+1825824\,a^{25}\,b^{32}\,d^6+2629536\,a^{27}\,b^{30}\,d^6+2374944\,a^{29}\,b^{28}\,d^6+727584\,a^{31}\,b^{26}\,d^6-1413984\,a^{33}\,b^{24}\,d^6-2649504\,a^{35}\,b^{22}\,d^6-2454816\,a^{37}\,b^{20}\,d^6-1476384\,a^{39}\,b^{18}\,d^6-597408\,a^{41}\,b^{16}\,d^6-156192\,a^{43}\,b^{14}\,d^6-22944\,a^{45}\,b^{12}\,d^6-1056\,a^{47}\,b^{10}\,d^6+96\,a^{49}\,b^8\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}+448\,a^{16}\,b^{36}\,d^4+2912\,a^{18}\,b^{34}\,d^4+11648\,a^{20}\,b^{32}\,d^4+32032\,a^{22}\,b^{30}\,d^4+64064\,a^{24}\,b^{28}\,d^4+96096\,a^{26}\,b^{26}\,d^4+109824\,a^{28}\,b^{24}\,d^4+96096\,a^{30}\,b^{22}\,d^4+64064\,a^{32}\,b^{20}\,d^4+32032\,a^{34}\,b^{18}\,d^4+11648\,a^{36}\,b^{16}\,d^4+2912\,a^{38}\,b^{14}\,d^4+448\,a^{40}\,b^{12}\,d^4+32\,a^{42}\,b^{10}\,d^4\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}+\frac{\frac{2\,b^2}{3\,a\,\left(a^2+b^2\right)}+\frac{2\,b^2\,\left(3\,a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a^3+a\,b^2\right)}^2}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\frac{\mathrm{atan}\left(\frac{a^8\,b^{46}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1024{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{10}\,b^{44}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,19456{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{12}\,b^{42}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,175104{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{14}\,b^{40}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,989696{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{16}\,b^{38}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,3938304{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{18}\,b^{36}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,11745344{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{20}\,b^{34}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,27310976{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{22}\,b^{32}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,50857664{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{24}\,b^{30}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,77232896{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{26}\,b^{28}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,96709184{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{28}\,b^{26}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,100287616{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{30}\,b^{24}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,85934784{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{32}\,b^{22}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,60310016{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{34}\,b^{20}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,34125504{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{36}\,b^{18}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,15203456{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{38}\,b^{16}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,5151296{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{40}\,b^{14}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1259264{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{42}\,b^{12}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,203456{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{44}\,b^{10}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,18304{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}+\frac{a^{46}\,b^8\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,576{}\mathrm{i}}{\sqrt{a^5}\,\left(576\,a^{44}\,b^8\,d^4+18304\,a^{42}\,b^{10}\,d^4+203456\,a^{40}\,b^{12}\,d^4+1259264\,a^{38}\,b^{14}\,d^4+5151296\,a^{36}\,b^{16}\,d^4+15203456\,a^{34}\,b^{18}\,d^4+34125504\,a^{32}\,b^{20}\,d^4+60310016\,a^{30}\,b^{22}\,d^4+85934784\,a^{28}\,b^{24}\,d^4+100287616\,a^{26}\,b^{26}\,d^4+96709184\,a^{24}\,b^{28}\,d^4+77232896\,a^{22}\,b^{30}\,d^4+50857664\,a^{20}\,b^{32}\,d^4+27310976\,a^{18}\,b^{34}\,d^4+11745344\,a^{16}\,b^{36}\,d^4+3938304\,a^{14}\,b^{38}\,d^4+989696\,a^{12}\,b^{40}\,d^4+175104\,a^{10}\,b^{42}\,d^4+19456\,a^8\,b^{44}\,d^4+1024\,a^6\,b^{46}\,d^4\right)}\right)\,2{}\mathrm{i}}{d\,\sqrt{a^5}}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/2)*(10304*a^20*b^34*d^5 - 512*a^16*b^38*d^5 - 544*a^18*b^36*d^5 - 64*a^14*b^40*d^5 + 66976*a^22*b^32*d^5 + 221312*a^24*b^30*d^5 + 480480*a^26*b^28*d^5 + 741312*a^28*b^26*d^5 + 837408*a^30*b^24*d^5 + 695552*a^32*b^22*d^5 + 416416*a^34*b^20*d^5 + 168896*a^36*b^18*d^5 + 37856*a^38*b^16*d^5 - 896*a^40*b^14*d^5 - 3424*a^42*b^12*d^5 - 960*a^44*b^10*d^5 - 96*a^46*b^8*d^5) - ((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(384*a^15*b^42*d^6 - ((((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(512*a^16*b^46*d^8 - ((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^18*b^46*d^9 + 9984*a^20*b^44*d^9 + 92160*a^22*b^42*d^9 + 535296*a^24*b^40*d^9 + 2193408*a^26*b^38*d^9 + 6736896*a^28*b^36*d^9 + 16084992*a^30*b^34*d^9 + 30551040*a^32*b^32*d^9 + 46844928*a^34*b^30*d^9 + 58499584*a^36*b^28*d^9 + 59744256*a^38*b^26*d^9 + 49900032*a^40*b^24*d^9 + 33945600*a^42*b^22*d^9 + 18643968*a^44*b^20*d^9 + 8146944*a^46*b^18*d^9 + 2767872*a^48*b^16*d^9 + 705024*a^50*b^14*d^9 + 126720*a^52*b^12*d^9 + 14336*a^54*b^10*d^9 + 768*a^56*b^8*d^9))/2 + 9728*a^18*b^44*d^8 + 87936*a^20*b^42*d^8 + 502144*a^22*b^40*d^8 + 2028544*a^24*b^38*d^8 + 6153216*a^26*b^36*d^8 + 14518784*a^28*b^34*d^8 + 27243008*a^30*b^32*d^8 + 41213952*a^32*b^30*d^8 + 50665472*a^34*b^28*d^8 + 50775296*a^36*b^26*d^8 + 41443584*a^38*b^24*d^8 + 27409408*a^40*b^22*d^8 + 14543872*a^42*b^20*d^8 + 6093312*a^44*b^18*d^8 + 1966592*a^46*b^16*d^8 + 470528*a^48*b^14*d^8 + 78336*a^50*b^12*d^8 + 8064*a^52*b^10*d^8 + 384*a^54*b^8*d^8))/2 + (a + b*tan(c + d*x))^(1/2)*(256*a^15*b^44*d^7 + 4608*a^17*b^42*d^7 + 40512*a^19*b^40*d^7 + 224768*a^21*b^38*d^7 + 864768*a^23*b^36*d^7 + 2419200*a^25*b^34*d^7 + 5055232*a^27*b^32*d^7 + 8007168*a^29*b^30*d^7 + 9664512*a^31*b^28*d^7 + 8859136*a^33*b^26*d^7 + 6095232*a^35*b^24*d^7 + 3095040*a^37*b^22*d^7 + 1164800*a^39*b^20*d^7 + 376320*a^41*b^18*d^7 + 154368*a^43*b^16*d^7 + 76288*a^45*b^14*d^7 + 28416*a^47*b^12*d^7 + 6144*a^49*b^10*d^7 + 576*a^51*b^8*d^7))*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 7296*a^17*b^40*d^6 + 59424*a^19*b^38*d^6 + 280992*a^21*b^36*d^6 + 866208*a^23*b^34*d^6 + 1825824*a^25*b^32*d^6 + 2629536*a^27*b^30*d^6 + 2374944*a^29*b^28*d^6 + 727584*a^31*b^26*d^6 - 1413984*a^33*b^24*d^6 - 2649504*a^35*b^22*d^6 - 2454816*a^37*b^20*d^6 - 1476384*a^39*b^18*d^6 - 597408*a^41*b^16*d^6 - 156192*a^43*b^14*d^6 - 22944*a^45*b^12*d^6 - 1056*a^47*b^10*d^6 + 96*a^49*b^8*d^6))/2)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 32*a^14*b^38*d^4 + 448*a^16*b^36*d^4 + 2912*a^18*b^34*d^4 + 11648*a^20*b^32*d^4 + 32032*a^22*b^30*d^4 + 64064*a^24*b^28*d^4 + 96096*a^26*b^26*d^4 + 109824*a^28*b^24*d^4 + 96096*a^30*b^22*d^4 + 64064*a^32*b^20*d^4 + 32032*a^34*b^18*d^4 + 11648*a^36*b^16*d^4 + 2912*a^38*b^14*d^4 + 448*a^40*b^12*d^4 + 32*a^42*b^10*d^4)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + (log((((a + b*tan(c + d*x))^(1/2)*(10304*a^20*b^34*d^5 - 512*a^16*b^38*d^5 - 544*a^18*b^36*d^5 - 64*a^14*b^40*d^5 + 66976*a^22*b^32*d^5 + 221312*a^24*b^30*d^5 + 480480*a^26*b^28*d^5 + 741312*a^28*b^26*d^5 + 837408*a^30*b^24*d^5 + 695552*a^32*b^22*d^5 + 416416*a^34*b^20*d^5 + 168896*a^36*b^18*d^5 + 37856*a^38*b^16*d^5 - 896*a^40*b^14*d^5 - 3424*a^42*b^12*d^5 - 960*a^44*b^10*d^5 - 96*a^46*b^8*d^5) - ((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(384*a^15*b^42*d^6 - ((((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(512*a^16*b^46*d^8 - ((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^18*b^46*d^9 + 9984*a^20*b^44*d^9 + 92160*a^22*b^42*d^9 + 535296*a^24*b^40*d^9 + 2193408*a^26*b^38*d^9 + 6736896*a^28*b^36*d^9 + 16084992*a^30*b^34*d^9 + 30551040*a^32*b^32*d^9 + 46844928*a^34*b^30*d^9 + 58499584*a^36*b^28*d^9 + 59744256*a^38*b^26*d^9 + 49900032*a^40*b^24*d^9 + 33945600*a^42*b^22*d^9 + 18643968*a^44*b^20*d^9 + 8146944*a^46*b^18*d^9 + 2767872*a^48*b^16*d^9 + 705024*a^50*b^14*d^9 + 126720*a^52*b^12*d^9 + 14336*a^54*b^10*d^9 + 768*a^56*b^8*d^9))/2 + 9728*a^18*b^44*d^8 + 87936*a^20*b^42*d^8 + 502144*a^22*b^40*d^8 + 2028544*a^24*b^38*d^8 + 6153216*a^26*b^36*d^8 + 14518784*a^28*b^34*d^8 + 27243008*a^30*b^32*d^8 + 41213952*a^32*b^30*d^8 + 50665472*a^34*b^28*d^8 + 50775296*a^36*b^26*d^8 + 41443584*a^38*b^24*d^8 + 27409408*a^40*b^22*d^8 + 14543872*a^42*b^20*d^8 + 6093312*a^44*b^18*d^8 + 1966592*a^46*b^16*d^8 + 470528*a^48*b^14*d^8 + 78336*a^50*b^12*d^8 + 8064*a^52*b^10*d^8 + 384*a^54*b^8*d^8))/2 + (a + b*tan(c + d*x))^(1/2)*(256*a^15*b^44*d^7 + 4608*a^17*b^42*d^7 + 40512*a^19*b^40*d^7 + 224768*a^21*b^38*d^7 + 864768*a^23*b^36*d^7 + 2419200*a^25*b^34*d^7 + 5055232*a^27*b^32*d^7 + 8007168*a^29*b^30*d^7 + 9664512*a^31*b^28*d^7 + 8859136*a^33*b^26*d^7 + 6095232*a^35*b^24*d^7 + 3095040*a^37*b^22*d^7 + 1164800*a^39*b^20*d^7 + 376320*a^41*b^18*d^7 + 154368*a^43*b^16*d^7 + 76288*a^45*b^14*d^7 + 28416*a^47*b^12*d^7 + 6144*a^49*b^10*d^7 + 576*a^51*b^8*d^7))*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 7296*a^17*b^40*d^6 + 59424*a^19*b^38*d^6 + 280992*a^21*b^36*d^6 + 866208*a^23*b^34*d^6 + 1825824*a^25*b^32*d^6 + 2629536*a^27*b^30*d^6 + 2374944*a^29*b^28*d^6 + 727584*a^31*b^26*d^6 - 1413984*a^33*b^24*d^6 - 2649504*a^35*b^22*d^6 - 2454816*a^37*b^20*d^6 - 1476384*a^39*b^18*d^6 - 597408*a^41*b^16*d^6 - 156192*a^43*b^14*d^6 - 22944*a^45*b^12*d^6 - 1056*a^47*b^10*d^6 + 96*a^49*b^8*d^6))/2)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 32*a^14*b^38*d^4 + 448*a^16*b^36*d^4 + 2912*a^18*b^34*d^4 + 11648*a^20*b^32*d^4 + 32032*a^22*b^30*d^4 + 64064*a^24*b^28*d^4 + 96096*a^26*b^26*d^4 + 109824*a^28*b^24*d^4 + 96096*a^30*b^22*d^4 + 64064*a^32*b^20*d^4 + 32032*a^34*b^18*d^4 + 11648*a^36*b^16*d^4 + 2912*a^38*b^14*d^4 + 448*a^40*b^12*d^4 + 32*a^42*b^10*d^4)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 - log(32*a^14*b^38*d^4 - ((a + b*tan(c + d*x))^(1/2)*(10304*a^20*b^34*d^5 - 512*a^16*b^38*d^5 - 544*a^18*b^36*d^5 - 64*a^14*b^40*d^5 + 66976*a^22*b^32*d^5 + 221312*a^24*b^30*d^5 + 480480*a^26*b^28*d^5 + 741312*a^28*b^26*d^5 + 837408*a^30*b^24*d^5 + 695552*a^32*b^22*d^5 + 416416*a^34*b^20*d^5 + 168896*a^36*b^18*d^5 + 37856*a^38*b^16*d^5 - 896*a^40*b^14*d^5 - 3424*a^42*b^12*d^5 - 960*a^44*b^10*d^5 - 96*a^46*b^8*d^5) + (((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(384*a^15*b^42*d^6 - ((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^18*b^46*d^9 + 9984*a^20*b^44*d^9 + 92160*a^22*b^42*d^9 + 535296*a^24*b^40*d^9 + 2193408*a^26*b^38*d^9 + 6736896*a^28*b^36*d^9 + 16084992*a^30*b^34*d^9 + 30551040*a^32*b^32*d^9 + 46844928*a^34*b^30*d^9 + 58499584*a^36*b^28*d^9 + 59744256*a^38*b^26*d^9 + 49900032*a^40*b^24*d^9 + 33945600*a^42*b^22*d^9 + 18643968*a^44*b^20*d^9 + 8146944*a^46*b^18*d^9 + 2767872*a^48*b^16*d^9 + 705024*a^50*b^14*d^9 + 126720*a^52*b^12*d^9 + 14336*a^54*b^10*d^9 + 768*a^56*b^8*d^9) + 512*a^16*b^46*d^8 + 9728*a^18*b^44*d^8 + 87936*a^20*b^42*d^8 + 502144*a^22*b^40*d^8 + 2028544*a^24*b^38*d^8 + 6153216*a^26*b^36*d^8 + 14518784*a^28*b^34*d^8 + 27243008*a^30*b^32*d^8 + 41213952*a^32*b^30*d^8 + 50665472*a^34*b^28*d^8 + 50775296*a^36*b^26*d^8 + 41443584*a^38*b^24*d^8 + 27409408*a^40*b^22*d^8 + 14543872*a^42*b^20*d^8 + 6093312*a^44*b^18*d^8 + 1966592*a^46*b^16*d^8 + 470528*a^48*b^14*d^8 + 78336*a^50*b^12*d^8 + 8064*a^52*b^10*d^8 + 384*a^54*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(256*a^15*b^44*d^7 + 4608*a^17*b^42*d^7 + 40512*a^19*b^40*d^7 + 224768*a^21*b^38*d^7 + 864768*a^23*b^36*d^7 + 2419200*a^25*b^34*d^7 + 5055232*a^27*b^32*d^7 + 8007168*a^29*b^30*d^7 + 9664512*a^31*b^28*d^7 + 8859136*a^33*b^26*d^7 + 6095232*a^35*b^24*d^7 + 3095040*a^37*b^22*d^7 + 1164800*a^39*b^20*d^7 + 376320*a^41*b^18*d^7 + 154368*a^43*b^16*d^7 + 76288*a^45*b^14*d^7 + 28416*a^47*b^12*d^7 + 6144*a^49*b^10*d^7 + 576*a^51*b^8*d^7))*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) + 7296*a^17*b^40*d^6 + 59424*a^19*b^38*d^6 + 280992*a^21*b^36*d^6 + 866208*a^23*b^34*d^6 + 1825824*a^25*b^32*d^6 + 2629536*a^27*b^30*d^6 + 2374944*a^29*b^28*d^6 + 727584*a^31*b^26*d^6 - 1413984*a^33*b^24*d^6 - 2649504*a^35*b^22*d^6 - 2454816*a^37*b^20*d^6 - 1476384*a^39*b^18*d^6 - 597408*a^41*b^16*d^6 - 156192*a^43*b^14*d^6 - 22944*a^45*b^12*d^6 - 1056*a^47*b^10*d^6 + 96*a^49*b^8*d^6))*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) + 448*a^16*b^36*d^4 + 2912*a^18*b^34*d^4 + 11648*a^20*b^32*d^4 + 32032*a^22*b^30*d^4 + 64064*a^24*b^28*d^4 + 96096*a^26*b^26*d^4 + 109824*a^28*b^24*d^4 + 96096*a^30*b^22*d^4 + 64064*a^32*b^20*d^4 + 32032*a^34*b^18*d^4 + 11648*a^36*b^16*d^4 + 2912*a^38*b^14*d^4 + 448*a^40*b^12*d^4 + 32*a^42*b^10*d^4)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) - log(32*a^14*b^38*d^4 - ((a + b*tan(c + d*x))^(1/2)*(10304*a^20*b^34*d^5 - 512*a^16*b^38*d^5 - 544*a^18*b^36*d^5 - 64*a^14*b^40*d^5 + 66976*a^22*b^32*d^5 + 221312*a^24*b^30*d^5 + 480480*a^26*b^28*d^5 + 741312*a^28*b^26*d^5 + 837408*a^30*b^24*d^5 + 695552*a^32*b^22*d^5 + 416416*a^34*b^20*d^5 + 168896*a^36*b^18*d^5 + 37856*a^38*b^16*d^5 - 896*a^40*b^14*d^5 - 3424*a^42*b^12*d^5 - 960*a^44*b^10*d^5 - 96*a^46*b^8*d^5) + (-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(384*a^15*b^42*d^6 - ((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^18*b^46*d^9 + 9984*a^20*b^44*d^9 + 92160*a^22*b^42*d^9 + 535296*a^24*b^40*d^9 + 2193408*a^26*b^38*d^9 + 6736896*a^28*b^36*d^9 + 16084992*a^30*b^34*d^9 + 30551040*a^32*b^32*d^9 + 46844928*a^34*b^30*d^9 + 58499584*a^36*b^28*d^9 + 59744256*a^38*b^26*d^9 + 49900032*a^40*b^24*d^9 + 33945600*a^42*b^22*d^9 + 18643968*a^44*b^20*d^9 + 8146944*a^46*b^18*d^9 + 2767872*a^48*b^16*d^9 + 705024*a^50*b^14*d^9 + 126720*a^52*b^12*d^9 + 14336*a^54*b^10*d^9 + 768*a^56*b^8*d^9) + 512*a^16*b^46*d^8 + 9728*a^18*b^44*d^8 + 87936*a^20*b^42*d^8 + 502144*a^22*b^40*d^8 + 2028544*a^24*b^38*d^8 + 6153216*a^26*b^36*d^8 + 14518784*a^28*b^34*d^8 + 27243008*a^30*b^32*d^8 + 41213952*a^32*b^30*d^8 + 50665472*a^34*b^28*d^8 + 50775296*a^36*b^26*d^8 + 41443584*a^38*b^24*d^8 + 27409408*a^40*b^22*d^8 + 14543872*a^42*b^20*d^8 + 6093312*a^44*b^18*d^8 + 1966592*a^46*b^16*d^8 + 470528*a^48*b^14*d^8 + 78336*a^50*b^12*d^8 + 8064*a^52*b^10*d^8 + 384*a^54*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(256*a^15*b^44*d^7 + 4608*a^17*b^42*d^7 + 40512*a^19*b^40*d^7 + 224768*a^21*b^38*d^7 + 864768*a^23*b^36*d^7 + 2419200*a^25*b^34*d^7 + 5055232*a^27*b^32*d^7 + 8007168*a^29*b^30*d^7 + 9664512*a^31*b^28*d^7 + 8859136*a^33*b^26*d^7 + 6095232*a^35*b^24*d^7 + 3095040*a^37*b^22*d^7 + 1164800*a^39*b^20*d^7 + 376320*a^41*b^18*d^7 + 154368*a^43*b^16*d^7 + 76288*a^45*b^14*d^7 + 28416*a^47*b^12*d^7 + 6144*a^49*b^10*d^7 + 576*a^51*b^8*d^7))*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) + 7296*a^17*b^40*d^6 + 59424*a^19*b^38*d^6 + 280992*a^21*b^36*d^6 + 866208*a^23*b^34*d^6 + 1825824*a^25*b^32*d^6 + 2629536*a^27*b^30*d^6 + 2374944*a^29*b^28*d^6 + 727584*a^31*b^26*d^6 - 1413984*a^33*b^24*d^6 - 2649504*a^35*b^22*d^6 - 2454816*a^37*b^20*d^6 - 1476384*a^39*b^18*d^6 - 597408*a^41*b^16*d^6 - 156192*a^43*b^14*d^6 - 22944*a^45*b^12*d^6 - 1056*a^47*b^10*d^6 + 96*a^49*b^8*d^6))*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) + 448*a^16*b^36*d^4 + 2912*a^18*b^34*d^4 + 11648*a^20*b^32*d^4 + 32032*a^22*b^30*d^4 + 64064*a^24*b^28*d^4 + 96096*a^26*b^26*d^4 + 109824*a^28*b^24*d^4 + 96096*a^30*b^22*d^4 + 64064*a^32*b^20*d^4 + 32032*a^34*b^18*d^4 + 11648*a^36*b^16*d^4 + 2912*a^38*b^14*d^4 + 448*a^40*b^12*d^4 + 32*a^42*b^10*d^4)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) + (atan((a^8*b^46*d^4*(a + b*tan(c + d*x))^(1/2)*1024i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^10*b^44*d^4*(a + b*tan(c + d*x))^(1/2)*19456i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^12*b^42*d^4*(a + b*tan(c + d*x))^(1/2)*175104i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^14*b^40*d^4*(a + b*tan(c + d*x))^(1/2)*989696i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^16*b^38*d^4*(a + b*tan(c + d*x))^(1/2)*3938304i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^18*b^36*d^4*(a + b*tan(c + d*x))^(1/2)*11745344i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^20*b^34*d^4*(a + b*tan(c + d*x))^(1/2)*27310976i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^22*b^32*d^4*(a + b*tan(c + d*x))^(1/2)*50857664i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^24*b^30*d^4*(a + b*tan(c + d*x))^(1/2)*77232896i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^26*b^28*d^4*(a + b*tan(c + d*x))^(1/2)*96709184i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^28*b^26*d^4*(a + b*tan(c + d*x))^(1/2)*100287616i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^30*b^24*d^4*(a + b*tan(c + d*x))^(1/2)*85934784i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^32*b^22*d^4*(a + b*tan(c + d*x))^(1/2)*60310016i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^34*b^20*d^4*(a + b*tan(c + d*x))^(1/2)*34125504i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^36*b^18*d^4*(a + b*tan(c + d*x))^(1/2)*15203456i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^38*b^16*d^4*(a + b*tan(c + d*x))^(1/2)*5151296i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^40*b^14*d^4*(a + b*tan(c + d*x))^(1/2)*1259264i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^42*b^12*d^4*(a + b*tan(c + d*x))^(1/2)*203456i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^44*b^10*d^4*(a + b*tan(c + d*x))^(1/2)*18304i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)) + (a^46*b^8*d^4*(a + b*tan(c + d*x))^(1/2)*576i)/((a^5)^(1/2)*(1024*a^6*b^46*d^4 + 19456*a^8*b^44*d^4 + 175104*a^10*b^42*d^4 + 989696*a^12*b^40*d^4 + 3938304*a^14*b^38*d^4 + 11745344*a^16*b^36*d^4 + 27310976*a^18*b^34*d^4 + 50857664*a^20*b^32*d^4 + 77232896*a^22*b^30*d^4 + 96709184*a^24*b^28*d^4 + 100287616*a^26*b^26*d^4 + 85934784*a^28*b^24*d^4 + 60310016*a^30*b^22*d^4 + 34125504*a^32*b^20*d^4 + 15203456*a^34*b^18*d^4 + 5151296*a^36*b^16*d^4 + 1259264*a^38*b^14*d^4 + 203456*a^40*b^12*d^4 + 18304*a^42*b^10*d^4 + 576*a^44*b^8*d^4)))*2i)/(d*(a^5)^(1/2)) + ((2*b^2)/(3*a*(a^2 + b^2)) + (2*b^2*(3*a^2 + b^2)*(a + b*tan(c + d*x)))/(a*b^2 + a^3)^2)/(d*(a + b*tan(c + d*x))^(3/2))","B"
553,1,14956,245,4.952840,"\text{Not used}","int(cot(c + d*x)^2/(a + b*tan(c + d*x))^(5/2),x)","\frac{\frac{2\,b^3}{3\,a\,\left(a^2+b^2\right)}+\frac{2\,b^3\,\left(11\,a^2+5\,b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{3\,{\left(a^3+a\,b^2\right)}^2}-\frac{b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2\,\left(a^4+10\,a^2\,b^2+5\,b^4\right)}{a^3\,{\left(a^2+b^2\right)}^2}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}-a\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\frac{\ln\left(400\,a^{22}\,b^{39}\,d^4-\frac{\left(\frac{\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(90304\,a^{29}\,b^{37}\,d^6-800\,a^{21}\,b^{45}\,d^6-10400\,a^{23}\,b^{43}\,d^6-54400\,a^{25}\,b^{41}\,d^6-121600\,a^{27}\,b^{39}\,d^6-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{60}\,b^8\,d^7+64\,a^{58}\,b^{10}\,d^7+39552\,a^{56}\,b^{12}\,d^7+377408\,a^{54}\,b^{14}\,d^7+1934592\,a^{52}\,b^{16}\,d^7+6713088\,a^{50}\,b^{18}\,d^7+17296384\,a^{48}\,b^{20}\,d^7+34754304\,a^{46}\,b^{22}\,d^7+56025216\,a^{44}\,b^{24}\,d^7+73600384\,a^{42}\,b^{26}\,d^7+79329536\,a^{40}\,b^{28}\,d^7+70152576\,a^{38}\,b^{30}\,d^7+50615552\,a^{36}\,b^{32}\,d^7+29476608\,a^{34}\,b^{34}\,d^7+13627392\,a^{32}\,b^{36}\,d^7+4880128\,a^{30}\,b^{38}\,d^7+1304256\,a^{28}\,b^{40}\,d^7+244800\,a^{26}\,b^{42}\,d^7+28800\,a^{24}\,b^{44}\,d^7+1600\,a^{22}\,b^{46}\,d^7\right)-\frac{\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{65}\,b^8\,d^9+14336\,a^{63}\,b^{10}\,d^9+126720\,a^{61}\,b^{12}\,d^9+705024\,a^{59}\,b^{14}\,d^9+2767872\,a^{57}\,b^{16}\,d^9+8146944\,a^{55}\,b^{18}\,d^9+18643968\,a^{53}\,b^{20}\,d^9+33945600\,a^{51}\,b^{22}\,d^9+49900032\,a^{49}\,b^{24}\,d^9+59744256\,a^{47}\,b^{26}\,d^9+58499584\,a^{45}\,b^{28}\,d^9+46844928\,a^{43}\,b^{30}\,d^9+30551040\,a^{41}\,b^{32}\,d^9+16084992\,a^{39}\,b^{34}\,d^9+6736896\,a^{37}\,b^{36}\,d^9+2193408\,a^{35}\,b^{38}\,d^9+535296\,a^{33}\,b^{40}\,d^9+92160\,a^{31}\,b^{42}\,d^9+9984\,a^{29}\,b^{44}\,d^9+512\,a^{27}\,b^{46}\,d^9\right)}{2}+1280\,a^{24}\,b^{47}\,d^8+24320\,a^{26}\,b^{45}\,d^8+219008\,a^{28}\,b^{43}\,d^8+1241984\,a^{30}\,b^{41}\,d^8+4970496\,a^{32}\,b^{39}\,d^8+14909440\,a^{34}\,b^{37}\,d^8+34746880\,a^{36}\,b^{35}\,d^8+64356864\,a^{38}\,b^{33}\,d^8+96092672\,a^{40}\,b^{31}\,d^8+116633088\,a^{42}\,b^{29}\,d^8+115498240\,a^{44}\,b^{27}\,d^8+93267200\,a^{46}\,b^{25}\,d^8+61128704\,a^{48}\,b^{23}\,d^8+32212992\,a^{50}\,b^{21}\,d^8+13439488\,a^{52}\,b^{19}\,d^8+4334080\,a^{54}\,b^{17}\,d^8+1040640\,a^{56}\,b^{15}\,d^8+174848\,a^{58}\,b^{13}\,d^8+18304\,a^{60}\,b^{11}\,d^8+896\,a^{62}\,b^9\,d^8\right)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+1465856\,a^{31}\,b^{35}\,d^6+5014464\,a^{33}\,b^{33}\,d^6+10323456\,a^{35}\,b^{31}\,d^6+14661504\,a^{37}\,b^{29}\,d^6+14908608\,a^{39}\,b^{27}\,d^6+10808512\,a^{41}\,b^{25}\,d^6+5328128\,a^{43}\,b^{23}\,d^6+1531712\,a^{45}\,b^{21}\,d^6+87808\,a^{47}\,b^{19}\,d^6-85696\,a^{49}\,b^{17}\,d^6-6144\,a^{51}\,b^{15}\,d^6+15264\,a^{53}\,b^{13}\,d^6+5856\,a^{55}\,b^{11}\,d^6+704\,a^{57}\,b^9\,d^6\right)}{2}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{55}\,b^8\,d^5+48\,a^{53}\,b^{10}\,d^5-288\,a^{51}\,b^{12}\,d^5+8448\,a^{49}\,b^{14}\,d^5+99232\,a^{47}\,b^{16}\,d^5+500864\,a^{45}\,b^{18}\,d^5+1552096\,a^{43}\,b^{20}\,d^5+3313024\,a^{41}\,b^{22}\,d^5+5129696\,a^{39}\,b^{24}\,d^5+5898464\,a^{37}\,b^{26}\,d^5+5065632\,a^{35}\,b^{28}\,d^5+3214848\,a^{33}\,b^{30}\,d^5+1458912\,a^{31}\,b^{32}\,d^5+437248\,a^{29}\,b^{34}\,d^5+67232\,a^{27}\,b^{36}\,d^5-3200\,a^{25}\,b^{38}\,d^5-3200\,a^{23}\,b^{40}\,d^5-400\,a^{21}\,b^{42}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+5520\,a^{24}\,b^{37}\,d^4+35280\,a^{26}\,b^{35}\,d^4+138320\,a^{28}\,b^{33}\,d^4+371280\,a^{30}\,b^{31}\,d^4+720720\,a^{32}\,b^{29}\,d^4+1041040\,a^{34}\,b^{27}\,d^4+1132560\,a^{36}\,b^{25}\,d^4+926640\,a^{38}\,b^{23}\,d^4+560560\,a^{40}\,b^{21}\,d^4+240240\,a^{42}\,b^{19}\,d^4+65520\,a^{44}\,b^{17}\,d^4+7280\,a^{46}\,b^{15}\,d^4-1680\,a^{48}\,b^{13}\,d^4-720\,a^{50}\,b^{11}\,d^4-80\,a^{52}\,b^9\,d^4\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+\frac{\ln\left(400\,a^{22}\,b^{39}\,d^4-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(90304\,a^{29}\,b^{37}\,d^6-800\,a^{21}\,b^{45}\,d^6-10400\,a^{23}\,b^{43}\,d^6-54400\,a^{25}\,b^{41}\,d^6-121600\,a^{27}\,b^{39}\,d^6-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{60}\,b^8\,d^7+64\,a^{58}\,b^{10}\,d^7+39552\,a^{56}\,b^{12}\,d^7+377408\,a^{54}\,b^{14}\,d^7+1934592\,a^{52}\,b^{16}\,d^7+6713088\,a^{50}\,b^{18}\,d^7+17296384\,a^{48}\,b^{20}\,d^7+34754304\,a^{46}\,b^{22}\,d^7+56025216\,a^{44}\,b^{24}\,d^7+73600384\,a^{42}\,b^{26}\,d^7+79329536\,a^{40}\,b^{28}\,d^7+70152576\,a^{38}\,b^{30}\,d^7+50615552\,a^{36}\,b^{32}\,d^7+29476608\,a^{34}\,b^{34}\,d^7+13627392\,a^{32}\,b^{36}\,d^7+4880128\,a^{30}\,b^{38}\,d^7+1304256\,a^{28}\,b^{40}\,d^7+244800\,a^{26}\,b^{42}\,d^7+28800\,a^{24}\,b^{44}\,d^7+1600\,a^{22}\,b^{46}\,d^7\right)-\frac{\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{65}\,b^8\,d^9+14336\,a^{63}\,b^{10}\,d^9+126720\,a^{61}\,b^{12}\,d^9+705024\,a^{59}\,b^{14}\,d^9+2767872\,a^{57}\,b^{16}\,d^9+8146944\,a^{55}\,b^{18}\,d^9+18643968\,a^{53}\,b^{20}\,d^9+33945600\,a^{51}\,b^{22}\,d^9+49900032\,a^{49}\,b^{24}\,d^9+59744256\,a^{47}\,b^{26}\,d^9+58499584\,a^{45}\,b^{28}\,d^9+46844928\,a^{43}\,b^{30}\,d^9+30551040\,a^{41}\,b^{32}\,d^9+16084992\,a^{39}\,b^{34}\,d^9+6736896\,a^{37}\,b^{36}\,d^9+2193408\,a^{35}\,b^{38}\,d^9+535296\,a^{33}\,b^{40}\,d^9+92160\,a^{31}\,b^{42}\,d^9+9984\,a^{29}\,b^{44}\,d^9+512\,a^{27}\,b^{46}\,d^9\right)}{2}+1280\,a^{24}\,b^{47}\,d^8+24320\,a^{26}\,b^{45}\,d^8+219008\,a^{28}\,b^{43}\,d^8+1241984\,a^{30}\,b^{41}\,d^8+4970496\,a^{32}\,b^{39}\,d^8+14909440\,a^{34}\,b^{37}\,d^8+34746880\,a^{36}\,b^{35}\,d^8+64356864\,a^{38}\,b^{33}\,d^8+96092672\,a^{40}\,b^{31}\,d^8+116633088\,a^{42}\,b^{29}\,d^8+115498240\,a^{44}\,b^{27}\,d^8+93267200\,a^{46}\,b^{25}\,d^8+61128704\,a^{48}\,b^{23}\,d^8+32212992\,a^{50}\,b^{21}\,d^8+13439488\,a^{52}\,b^{19}\,d^8+4334080\,a^{54}\,b^{17}\,d^8+1040640\,a^{56}\,b^{15}\,d^8+174848\,a^{58}\,b^{13}\,d^8+18304\,a^{60}\,b^{11}\,d^8+896\,a^{62}\,b^9\,d^8\right)}{2}\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+1465856\,a^{31}\,b^{35}\,d^6+5014464\,a^{33}\,b^{33}\,d^6+10323456\,a^{35}\,b^{31}\,d^6+14661504\,a^{37}\,b^{29}\,d^6+14908608\,a^{39}\,b^{27}\,d^6+10808512\,a^{41}\,b^{25}\,d^6+5328128\,a^{43}\,b^{23}\,d^6+1531712\,a^{45}\,b^{21}\,d^6+87808\,a^{47}\,b^{19}\,d^6-85696\,a^{49}\,b^{17}\,d^6-6144\,a^{51}\,b^{15}\,d^6+15264\,a^{53}\,b^{13}\,d^6+5856\,a^{55}\,b^{11}\,d^6+704\,a^{57}\,b^9\,d^6\right)}{2}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{55}\,b^8\,d^5+48\,a^{53}\,b^{10}\,d^5-288\,a^{51}\,b^{12}\,d^5+8448\,a^{49}\,b^{14}\,d^5+99232\,a^{47}\,b^{16}\,d^5+500864\,a^{45}\,b^{18}\,d^5+1552096\,a^{43}\,b^{20}\,d^5+3313024\,a^{41}\,b^{22}\,d^5+5129696\,a^{39}\,b^{24}\,d^5+5898464\,a^{37}\,b^{26}\,d^5+5065632\,a^{35}\,b^{28}\,d^5+3214848\,a^{33}\,b^{30}\,d^5+1458912\,a^{31}\,b^{32}\,d^5+437248\,a^{29}\,b^{34}\,d^5+67232\,a^{27}\,b^{36}\,d^5-3200\,a^{25}\,b^{38}\,d^5-3200\,a^{23}\,b^{40}\,d^5-400\,a^{21}\,b^{42}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}+5520\,a^{24}\,b^{37}\,d^4+35280\,a^{26}\,b^{35}\,d^4+138320\,a^{28}\,b^{33}\,d^4+371280\,a^{30}\,b^{31}\,d^4+720720\,a^{32}\,b^{29}\,d^4+1041040\,a^{34}\,b^{27}\,d^4+1132560\,a^{36}\,b^{25}\,d^4+926640\,a^{38}\,b^{23}\,d^4+560560\,a^{40}\,b^{21}\,d^4+240240\,a^{42}\,b^{19}\,d^4+65520\,a^{44}\,b^{17}\,d^4+7280\,a^{46}\,b^{15}\,d^4-1680\,a^{48}\,b^{13}\,d^4-720\,a^{50}\,b^{11}\,d^4-80\,a^{52}\,b^9\,d^4\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{a^{10}\,d^4+5\,a^8\,b^2\,d^4+10\,a^6\,b^4\,d^4+10\,a^4\,b^6\,d^4+5\,a^2\,b^8\,d^4+b^{10}\,d^4}}}{2}-\ln\left(400\,a^{22}\,b^{39}\,d^4-\left(\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{60}\,b^8\,d^7+64\,a^{58}\,b^{10}\,d^7+39552\,a^{56}\,b^{12}\,d^7+377408\,a^{54}\,b^{14}\,d^7+1934592\,a^{52}\,b^{16}\,d^7+6713088\,a^{50}\,b^{18}\,d^7+17296384\,a^{48}\,b^{20}\,d^7+34754304\,a^{46}\,b^{22}\,d^7+56025216\,a^{44}\,b^{24}\,d^7+73600384\,a^{42}\,b^{26}\,d^7+79329536\,a^{40}\,b^{28}\,d^7+70152576\,a^{38}\,b^{30}\,d^7+50615552\,a^{36}\,b^{32}\,d^7+29476608\,a^{34}\,b^{34}\,d^7+13627392\,a^{32}\,b^{36}\,d^7+4880128\,a^{30}\,b^{38}\,d^7+1304256\,a^{28}\,b^{40}\,d^7+244800\,a^{26}\,b^{42}\,d^7+28800\,a^{24}\,b^{44}\,d^7+1600\,a^{22}\,b^{46}\,d^7\right)+\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(1280\,a^{24}\,b^{47}\,d^8-\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{65}\,b^8\,d^9+14336\,a^{63}\,b^{10}\,d^9+126720\,a^{61}\,b^{12}\,d^9+705024\,a^{59}\,b^{14}\,d^9+2767872\,a^{57}\,b^{16}\,d^9+8146944\,a^{55}\,b^{18}\,d^9+18643968\,a^{53}\,b^{20}\,d^9+33945600\,a^{51}\,b^{22}\,d^9+49900032\,a^{49}\,b^{24}\,d^9+59744256\,a^{47}\,b^{26}\,d^9+58499584\,a^{45}\,b^{28}\,d^9+46844928\,a^{43}\,b^{30}\,d^9+30551040\,a^{41}\,b^{32}\,d^9+16084992\,a^{39}\,b^{34}\,d^9+6736896\,a^{37}\,b^{36}\,d^9+2193408\,a^{35}\,b^{38}\,d^9+535296\,a^{33}\,b^{40}\,d^9+92160\,a^{31}\,b^{42}\,d^9+9984\,a^{29}\,b^{44}\,d^9+512\,a^{27}\,b^{46}\,d^9\right)+24320\,a^{26}\,b^{45}\,d^8+219008\,a^{28}\,b^{43}\,d^8+1241984\,a^{30}\,b^{41}\,d^8+4970496\,a^{32}\,b^{39}\,d^8+14909440\,a^{34}\,b^{37}\,d^8+34746880\,a^{36}\,b^{35}\,d^8+64356864\,a^{38}\,b^{33}\,d^8+96092672\,a^{40}\,b^{31}\,d^8+116633088\,a^{42}\,b^{29}\,d^8+115498240\,a^{44}\,b^{27}\,d^8+93267200\,a^{46}\,b^{25}\,d^8+61128704\,a^{48}\,b^{23}\,d^8+32212992\,a^{50}\,b^{21}\,d^8+13439488\,a^{52}\,b^{19}\,d^8+4334080\,a^{54}\,b^{17}\,d^8+1040640\,a^{56}\,b^{15}\,d^8+174848\,a^{58}\,b^{13}\,d^8+18304\,a^{60}\,b^{11}\,d^8+896\,a^{62}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}-800\,a^{21}\,b^{45}\,d^6-10400\,a^{23}\,b^{43}\,d^6-54400\,a^{25}\,b^{41}\,d^6-121600\,a^{27}\,b^{39}\,d^6+90304\,a^{29}\,b^{37}\,d^6+1465856\,a^{31}\,b^{35}\,d^6+5014464\,a^{33}\,b^{33}\,d^6+10323456\,a^{35}\,b^{31}\,d^6+14661504\,a^{37}\,b^{29}\,d^6+14908608\,a^{39}\,b^{27}\,d^6+10808512\,a^{41}\,b^{25}\,d^6+5328128\,a^{43}\,b^{23}\,d^6+1531712\,a^{45}\,b^{21}\,d^6+87808\,a^{47}\,b^{19}\,d^6-85696\,a^{49}\,b^{17}\,d^6-6144\,a^{51}\,b^{15}\,d^6+15264\,a^{53}\,b^{13}\,d^6+5856\,a^{55}\,b^{11}\,d^6+704\,a^{57}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{55}\,b^8\,d^5+48\,a^{53}\,b^{10}\,d^5-288\,a^{51}\,b^{12}\,d^5+8448\,a^{49}\,b^{14}\,d^5+99232\,a^{47}\,b^{16}\,d^5+500864\,a^{45}\,b^{18}\,d^5+1552096\,a^{43}\,b^{20}\,d^5+3313024\,a^{41}\,b^{22}\,d^5+5129696\,a^{39}\,b^{24}\,d^5+5898464\,a^{37}\,b^{26}\,d^5+5065632\,a^{35}\,b^{28}\,d^5+3214848\,a^{33}\,b^{30}\,d^5+1458912\,a^{31}\,b^{32}\,d^5+437248\,a^{29}\,b^{34}\,d^5+67232\,a^{27}\,b^{36}\,d^5-3200\,a^{25}\,b^{38}\,d^5-3200\,a^{23}\,b^{40}\,d^5-400\,a^{21}\,b^{42}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}+5520\,a^{24}\,b^{37}\,d^4+35280\,a^{26}\,b^{35}\,d^4+138320\,a^{28}\,b^{33}\,d^4+371280\,a^{30}\,b^{31}\,d^4+720720\,a^{32}\,b^{29}\,d^4+1041040\,a^{34}\,b^{27}\,d^4+1132560\,a^{36}\,b^{25}\,d^4+926640\,a^{38}\,b^{23}\,d^4+560560\,a^{40}\,b^{21}\,d^4+240240\,a^{42}\,b^{19}\,d^4+65520\,a^{44}\,b^{17}\,d^4+7280\,a^{46}\,b^{15}\,d^4-1680\,a^{48}\,b^{13}\,d^4-720\,a^{50}\,b^{11}\,d^4-80\,a^{52}\,b^9\,d^4\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}-a^5\,d^2-5\,a\,b^4\,d^2+10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}-\ln\left(400\,a^{22}\,b^{39}\,d^4-\left(\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,a^{60}\,b^8\,d^7+64\,a^{58}\,b^{10}\,d^7+39552\,a^{56}\,b^{12}\,d^7+377408\,a^{54}\,b^{14}\,d^7+1934592\,a^{52}\,b^{16}\,d^7+6713088\,a^{50}\,b^{18}\,d^7+17296384\,a^{48}\,b^{20}\,d^7+34754304\,a^{46}\,b^{22}\,d^7+56025216\,a^{44}\,b^{24}\,d^7+73600384\,a^{42}\,b^{26}\,d^7+79329536\,a^{40}\,b^{28}\,d^7+70152576\,a^{38}\,b^{30}\,d^7+50615552\,a^{36}\,b^{32}\,d^7+29476608\,a^{34}\,b^{34}\,d^7+13627392\,a^{32}\,b^{36}\,d^7+4880128\,a^{30}\,b^{38}\,d^7+1304256\,a^{28}\,b^{40}\,d^7+244800\,a^{26}\,b^{42}\,d^7+28800\,a^{24}\,b^{44}\,d^7+1600\,a^{22}\,b^{46}\,d^7\right)+\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\left(1280\,a^{24}\,b^{47}\,d^8-\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{65}\,b^8\,d^9+14336\,a^{63}\,b^{10}\,d^9+126720\,a^{61}\,b^{12}\,d^9+705024\,a^{59}\,b^{14}\,d^9+2767872\,a^{57}\,b^{16}\,d^9+8146944\,a^{55}\,b^{18}\,d^9+18643968\,a^{53}\,b^{20}\,d^9+33945600\,a^{51}\,b^{22}\,d^9+49900032\,a^{49}\,b^{24}\,d^9+59744256\,a^{47}\,b^{26}\,d^9+58499584\,a^{45}\,b^{28}\,d^9+46844928\,a^{43}\,b^{30}\,d^9+30551040\,a^{41}\,b^{32}\,d^9+16084992\,a^{39}\,b^{34}\,d^9+6736896\,a^{37}\,b^{36}\,d^9+2193408\,a^{35}\,b^{38}\,d^9+535296\,a^{33}\,b^{40}\,d^9+92160\,a^{31}\,b^{42}\,d^9+9984\,a^{29}\,b^{44}\,d^9+512\,a^{27}\,b^{46}\,d^9\right)+24320\,a^{26}\,b^{45}\,d^8+219008\,a^{28}\,b^{43}\,d^8+1241984\,a^{30}\,b^{41}\,d^8+4970496\,a^{32}\,b^{39}\,d^8+14909440\,a^{34}\,b^{37}\,d^8+34746880\,a^{36}\,b^{35}\,d^8+64356864\,a^{38}\,b^{33}\,d^8+96092672\,a^{40}\,b^{31}\,d^8+116633088\,a^{42}\,b^{29}\,d^8+115498240\,a^{44}\,b^{27}\,d^8+93267200\,a^{46}\,b^{25}\,d^8+61128704\,a^{48}\,b^{23}\,d^8+32212992\,a^{50}\,b^{21}\,d^8+13439488\,a^{52}\,b^{19}\,d^8+4334080\,a^{54}\,b^{17}\,d^8+1040640\,a^{56}\,b^{15}\,d^8+174848\,a^{58}\,b^{13}\,d^8+18304\,a^{60}\,b^{11}\,d^8+896\,a^{62}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}-800\,a^{21}\,b^{45}\,d^6-10400\,a^{23}\,b^{43}\,d^6-54400\,a^{25}\,b^{41}\,d^6-121600\,a^{27}\,b^{39}\,d^6+90304\,a^{29}\,b^{37}\,d^6+1465856\,a^{31}\,b^{35}\,d^6+5014464\,a^{33}\,b^{33}\,d^6+10323456\,a^{35}\,b^{31}\,d^6+14661504\,a^{37}\,b^{29}\,d^6+14908608\,a^{39}\,b^{27}\,d^6+10808512\,a^{41}\,b^{25}\,d^6+5328128\,a^{43}\,b^{23}\,d^6+1531712\,a^{45}\,b^{21}\,d^6+87808\,a^{47}\,b^{19}\,d^6-85696\,a^{49}\,b^{17}\,d^6-6144\,a^{51}\,b^{15}\,d^6+15264\,a^{53}\,b^{13}\,d^6+5856\,a^{55}\,b^{11}\,d^6+704\,a^{57}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{55}\,b^8\,d^5+48\,a^{53}\,b^{10}\,d^5-288\,a^{51}\,b^{12}\,d^5+8448\,a^{49}\,b^{14}\,d^5+99232\,a^{47}\,b^{16}\,d^5+500864\,a^{45}\,b^{18}\,d^5+1552096\,a^{43}\,b^{20}\,d^5+3313024\,a^{41}\,b^{22}\,d^5+5129696\,a^{39}\,b^{24}\,d^5+5898464\,a^{37}\,b^{26}\,d^5+5065632\,a^{35}\,b^{28}\,d^5+3214848\,a^{33}\,b^{30}\,d^5+1458912\,a^{31}\,b^{32}\,d^5+437248\,a^{29}\,b^{34}\,d^5+67232\,a^{27}\,b^{36}\,d^5-3200\,a^{25}\,b^{38}\,d^5-3200\,a^{23}\,b^{40}\,d^5-400\,a^{21}\,b^{42}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}+5520\,a^{24}\,b^{37}\,d^4+35280\,a^{26}\,b^{35}\,d^4+138320\,a^{28}\,b^{33}\,d^4+371280\,a^{30}\,b^{31}\,d^4+720720\,a^{32}\,b^{29}\,d^4+1041040\,a^{34}\,b^{27}\,d^4+1132560\,a^{36}\,b^{25}\,d^4+926640\,a^{38}\,b^{23}\,d^4+560560\,a^{40}\,b^{21}\,d^4+240240\,a^{42}\,b^{19}\,d^4+65520\,a^{44}\,b^{17}\,d^4+7280\,a^{46}\,b^{15}\,d^4-1680\,a^{48}\,b^{13}\,d^4-720\,a^{50}\,b^{11}\,d^4-80\,a^{52}\,b^9\,d^4\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^2\,d^4+100\,a^6\,b^4\,d^4-110\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4-b^{10}\,d^4}+a^5\,d^2+5\,a\,b^4\,d^2-10\,a^3\,b^2\,d^2}{4\,a^{10}\,d^4+20\,a^8\,b^2\,d^4+40\,a^6\,b^4\,d^4+40\,a^4\,b^6\,d^4+20\,a^2\,b^8\,d^4+4\,b^{10}\,d^4}}-\frac{b\,\mathrm{atan}\left(\frac{a^{13}\,b^{51}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,100000{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{15}\,b^{49}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1900000{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{17}\,b^{47}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,17100000{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{19}\,b^{45}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,96900000{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{21}\,b^{43}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,387640000{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{23}\,b^{41}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1163280000{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{25}\,b^{39}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2715728000{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{27}\,b^{37}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,5046192160{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{29}\,b^{35}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,7569850240{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{31}\,b^{33}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,9240726560{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{33}\,b^{31}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,9205826240{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{35}\,b^{29}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,7471416160{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{37}\,b^{27}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,4908704320{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{39}\,b^{25}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,2580976480{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{41}\,b^{23}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1067253120{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{43}\,b^{21}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,338576480{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{45}\,b^{19}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,79748320{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{47}\,b^{17}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,13452160{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{49}\,b^{15}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1606240{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{51}\,b^{13}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,146560{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{53}\,b^{11}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,10240{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}+\frac{a^{55}\,b^9\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,160{}\mathrm{i}}{\sqrt{a^7}\,\left(160\,a^{52}\,b^9\,d^4+10240\,a^{50}\,b^{11}\,d^4+146560\,a^{48}\,b^{13}\,d^4+1606240\,a^{46}\,b^{15}\,d^4+13452160\,a^{44}\,b^{17}\,d^4+79748320\,a^{42}\,b^{19}\,d^4+338576480\,a^{40}\,b^{21}\,d^4+1067253120\,a^{38}\,b^{23}\,d^4+2580976480\,a^{36}\,b^{25}\,d^4+4908704320\,a^{34}\,b^{27}\,d^4+7471416160\,a^{32}\,b^{29}\,d^4+9205826240\,a^{30}\,b^{31}\,d^4+9240726560\,a^{28}\,b^{33}\,d^4+7569850240\,a^{26}\,b^{35}\,d^4+5046192160\,a^{24}\,b^{37}\,d^4+2715728000\,a^{22}\,b^{39}\,d^4+1163280000\,a^{20}\,b^{41}\,d^4+387640000\,a^{18}\,b^{43}\,d^4+96900000\,a^{16}\,b^{45}\,d^4+17100000\,a^{14}\,b^{47}\,d^4+1900000\,a^{12}\,b^{49}\,d^4+100000\,a^{10}\,b^{51}\,d^4\right)}\right)\,5{}\mathrm{i}}{d\,\sqrt{a^7}}","Not used",1,"((2*b^3)/(3*a*(a^2 + b^2)) + (2*b^3*(11*a^2 + 5*b^2)*(a + b*tan(c + d*x)))/(3*(a*b^2 + a^3)^2) - (b*(a + b*tan(c + d*x))^2*(a^4 + 5*b^4 + 10*a^2*b^2))/(a^3*(a^2 + b^2)^2))/(d*(a + b*tan(c + d*x))^(5/2) - a*d*(a + b*tan(c + d*x))^(3/2)) + (log(400*a^22*b^39*d^4 - ((((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(90304*a^29*b^37*d^6 - 800*a^21*b^45*d^6 - 10400*a^23*b^43*d^6 - 54400*a^25*b^41*d^6 - 121600*a^27*b^39*d^6 - (((a + b*tan(c + d*x))^(1/2)*(1600*a^22*b^46*d^7 + 28800*a^24*b^44*d^7 + 244800*a^26*b^42*d^7 + 1304256*a^28*b^40*d^7 + 4880128*a^30*b^38*d^7 + 13627392*a^32*b^36*d^7 + 29476608*a^34*b^34*d^7 + 50615552*a^36*b^32*d^7 + 70152576*a^38*b^30*d^7 + 79329536*a^40*b^28*d^7 + 73600384*a^42*b^26*d^7 + 56025216*a^44*b^24*d^7 + 34754304*a^46*b^22*d^7 + 17296384*a^48*b^20*d^7 + 6713088*a^50*b^18*d^7 + 1934592*a^52*b^16*d^7 + 377408*a^54*b^14*d^7 + 39552*a^56*b^12*d^7 + 64*a^58*b^10*d^7 - 320*a^60*b^8*d^7) - ((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^27*b^46*d^9 + 9984*a^29*b^44*d^9 + 92160*a^31*b^42*d^9 + 535296*a^33*b^40*d^9 + 2193408*a^35*b^38*d^9 + 6736896*a^37*b^36*d^9 + 16084992*a^39*b^34*d^9 + 30551040*a^41*b^32*d^9 + 46844928*a^43*b^30*d^9 + 58499584*a^45*b^28*d^9 + 59744256*a^47*b^26*d^9 + 49900032*a^49*b^24*d^9 + 33945600*a^51*b^22*d^9 + 18643968*a^53*b^20*d^9 + 8146944*a^55*b^18*d^9 + 2767872*a^57*b^16*d^9 + 705024*a^59*b^14*d^9 + 126720*a^61*b^12*d^9 + 14336*a^63*b^10*d^9 + 768*a^65*b^8*d^9))/2 + 1280*a^24*b^47*d^8 + 24320*a^26*b^45*d^8 + 219008*a^28*b^43*d^8 + 1241984*a^30*b^41*d^8 + 4970496*a^32*b^39*d^8 + 14909440*a^34*b^37*d^8 + 34746880*a^36*b^35*d^8 + 64356864*a^38*b^33*d^8 + 96092672*a^40*b^31*d^8 + 116633088*a^42*b^29*d^8 + 115498240*a^44*b^27*d^8 + 93267200*a^46*b^25*d^8 + 61128704*a^48*b^23*d^8 + 32212992*a^50*b^21*d^8 + 13439488*a^52*b^19*d^8 + 4334080*a^54*b^17*d^8 + 1040640*a^56*b^15*d^8 + 174848*a^58*b^13*d^8 + 18304*a^60*b^11*d^8 + 896*a^62*b^9*d^8))/2)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 1465856*a^31*b^35*d^6 + 5014464*a^33*b^33*d^6 + 10323456*a^35*b^31*d^6 + 14661504*a^37*b^29*d^6 + 14908608*a^39*b^27*d^6 + 10808512*a^41*b^25*d^6 + 5328128*a^43*b^23*d^6 + 1531712*a^45*b^21*d^6 + 87808*a^47*b^19*d^6 - 85696*a^49*b^17*d^6 - 6144*a^51*b^15*d^6 + 15264*a^53*b^13*d^6 + 5856*a^55*b^11*d^6 + 704*a^57*b^9*d^6))/2 + (a + b*tan(c + d*x))^(1/2)*(67232*a^27*b^36*d^5 - 3200*a^23*b^40*d^5 - 3200*a^25*b^38*d^5 - 400*a^21*b^42*d^5 + 437248*a^29*b^34*d^5 + 1458912*a^31*b^32*d^5 + 3214848*a^33*b^30*d^5 + 5065632*a^35*b^28*d^5 + 5898464*a^37*b^26*d^5 + 5129696*a^39*b^24*d^5 + 3313024*a^41*b^22*d^5 + 1552096*a^43*b^20*d^5 + 500864*a^45*b^18*d^5 + 99232*a^47*b^16*d^5 + 8448*a^49*b^14*d^5 - 288*a^51*b^12*d^5 + 48*a^53*b^10*d^5 + 32*a^55*b^8*d^5))*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 5520*a^24*b^37*d^4 + 35280*a^26*b^35*d^4 + 138320*a^28*b^33*d^4 + 371280*a^30*b^31*d^4 + 720720*a^32*b^29*d^4 + 1041040*a^34*b^27*d^4 + 1132560*a^36*b^25*d^4 + 926640*a^38*b^23*d^4 + 560560*a^40*b^21*d^4 + 240240*a^42*b^19*d^4 + 65520*a^44*b^17*d^4 + 7280*a^46*b^15*d^4 - 1680*a^48*b^13*d^4 - 720*a^50*b^11*d^4 - 80*a^52*b^9*d^4)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + (log(400*a^22*b^39*d^4 - ((((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(90304*a^29*b^37*d^6 - 800*a^21*b^45*d^6 - 10400*a^23*b^43*d^6 - 54400*a^25*b^41*d^6 - 121600*a^27*b^39*d^6 - (((a + b*tan(c + d*x))^(1/2)*(1600*a^22*b^46*d^7 + 28800*a^24*b^44*d^7 + 244800*a^26*b^42*d^7 + 1304256*a^28*b^40*d^7 + 4880128*a^30*b^38*d^7 + 13627392*a^32*b^36*d^7 + 29476608*a^34*b^34*d^7 + 50615552*a^36*b^32*d^7 + 70152576*a^38*b^30*d^7 + 79329536*a^40*b^28*d^7 + 73600384*a^42*b^26*d^7 + 56025216*a^44*b^24*d^7 + 34754304*a^46*b^22*d^7 + 17296384*a^48*b^20*d^7 + 6713088*a^50*b^18*d^7 + 1934592*a^52*b^16*d^7 + 377408*a^54*b^14*d^7 + 39552*a^56*b^12*d^7 + 64*a^58*b^10*d^7 - 320*a^60*b^8*d^7) - ((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^27*b^46*d^9 + 9984*a^29*b^44*d^9 + 92160*a^31*b^42*d^9 + 535296*a^33*b^40*d^9 + 2193408*a^35*b^38*d^9 + 6736896*a^37*b^36*d^9 + 16084992*a^39*b^34*d^9 + 30551040*a^41*b^32*d^9 + 46844928*a^43*b^30*d^9 + 58499584*a^45*b^28*d^9 + 59744256*a^47*b^26*d^9 + 49900032*a^49*b^24*d^9 + 33945600*a^51*b^22*d^9 + 18643968*a^53*b^20*d^9 + 8146944*a^55*b^18*d^9 + 2767872*a^57*b^16*d^9 + 705024*a^59*b^14*d^9 + 126720*a^61*b^12*d^9 + 14336*a^63*b^10*d^9 + 768*a^65*b^8*d^9))/2 + 1280*a^24*b^47*d^8 + 24320*a^26*b^45*d^8 + 219008*a^28*b^43*d^8 + 1241984*a^30*b^41*d^8 + 4970496*a^32*b^39*d^8 + 14909440*a^34*b^37*d^8 + 34746880*a^36*b^35*d^8 + 64356864*a^38*b^33*d^8 + 96092672*a^40*b^31*d^8 + 116633088*a^42*b^29*d^8 + 115498240*a^44*b^27*d^8 + 93267200*a^46*b^25*d^8 + 61128704*a^48*b^23*d^8 + 32212992*a^50*b^21*d^8 + 13439488*a^52*b^19*d^8 + 4334080*a^54*b^17*d^8 + 1040640*a^56*b^15*d^8 + 174848*a^58*b^13*d^8 + 18304*a^60*b^11*d^8 + 896*a^62*b^9*d^8))/2)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 1465856*a^31*b^35*d^6 + 5014464*a^33*b^33*d^6 + 10323456*a^35*b^31*d^6 + 14661504*a^37*b^29*d^6 + 14908608*a^39*b^27*d^6 + 10808512*a^41*b^25*d^6 + 5328128*a^43*b^23*d^6 + 1531712*a^45*b^21*d^6 + 87808*a^47*b^19*d^6 - 85696*a^49*b^17*d^6 - 6144*a^51*b^15*d^6 + 15264*a^53*b^13*d^6 + 5856*a^55*b^11*d^6 + 704*a^57*b^9*d^6))/2 + (a + b*tan(c + d*x))^(1/2)*(67232*a^27*b^36*d^5 - 3200*a^23*b^40*d^5 - 3200*a^25*b^38*d^5 - 400*a^21*b^42*d^5 + 437248*a^29*b^34*d^5 + 1458912*a^31*b^32*d^5 + 3214848*a^33*b^30*d^5 + 5065632*a^35*b^28*d^5 + 5898464*a^37*b^26*d^5 + 5129696*a^39*b^24*d^5 + 3313024*a^41*b^22*d^5 + 1552096*a^43*b^20*d^5 + 500864*a^45*b^18*d^5 + 99232*a^47*b^16*d^5 + 8448*a^49*b^14*d^5 - 288*a^51*b^12*d^5 + 48*a^53*b^10*d^5 + 32*a^55*b^8*d^5))*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 + 5520*a^24*b^37*d^4 + 35280*a^26*b^35*d^4 + 138320*a^28*b^33*d^4 + 371280*a^30*b^31*d^4 + 720720*a^32*b^29*d^4 + 1041040*a^34*b^27*d^4 + 1132560*a^36*b^25*d^4 + 926640*a^38*b^23*d^4 + 560560*a^40*b^21*d^4 + 240240*a^42*b^19*d^4 + 65520*a^44*b^17*d^4 + 7280*a^46*b^15*d^4 - 1680*a^48*b^13*d^4 - 720*a^50*b^11*d^4 - 80*a^52*b^9*d^4)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 10*a^4*b^6*d^4 + 10*a^6*b^4*d^4 + 5*a^8*b^2*d^4))^(1/2))/2 - log(400*a^22*b^39*d^4 - ((((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(((a + b*tan(c + d*x))^(1/2)*(1600*a^22*b^46*d^7 + 28800*a^24*b^44*d^7 + 244800*a^26*b^42*d^7 + 1304256*a^28*b^40*d^7 + 4880128*a^30*b^38*d^7 + 13627392*a^32*b^36*d^7 + 29476608*a^34*b^34*d^7 + 50615552*a^36*b^32*d^7 + 70152576*a^38*b^30*d^7 + 79329536*a^40*b^28*d^7 + 73600384*a^42*b^26*d^7 + 56025216*a^44*b^24*d^7 + 34754304*a^46*b^22*d^7 + 17296384*a^48*b^20*d^7 + 6713088*a^50*b^18*d^7 + 1934592*a^52*b^16*d^7 + 377408*a^54*b^14*d^7 + 39552*a^56*b^12*d^7 + 64*a^58*b^10*d^7 - 320*a^60*b^8*d^7) + (((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(1280*a^24*b^47*d^8 - (((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^27*b^46*d^9 + 9984*a^29*b^44*d^9 + 92160*a^31*b^42*d^9 + 535296*a^33*b^40*d^9 + 2193408*a^35*b^38*d^9 + 6736896*a^37*b^36*d^9 + 16084992*a^39*b^34*d^9 + 30551040*a^41*b^32*d^9 + 46844928*a^43*b^30*d^9 + 58499584*a^45*b^28*d^9 + 59744256*a^47*b^26*d^9 + 49900032*a^49*b^24*d^9 + 33945600*a^51*b^22*d^9 + 18643968*a^53*b^20*d^9 + 8146944*a^55*b^18*d^9 + 2767872*a^57*b^16*d^9 + 705024*a^59*b^14*d^9 + 126720*a^61*b^12*d^9 + 14336*a^63*b^10*d^9 + 768*a^65*b^8*d^9) + 24320*a^26*b^45*d^8 + 219008*a^28*b^43*d^8 + 1241984*a^30*b^41*d^8 + 4970496*a^32*b^39*d^8 + 14909440*a^34*b^37*d^8 + 34746880*a^36*b^35*d^8 + 64356864*a^38*b^33*d^8 + 96092672*a^40*b^31*d^8 + 116633088*a^42*b^29*d^8 + 115498240*a^44*b^27*d^8 + 93267200*a^46*b^25*d^8 + 61128704*a^48*b^23*d^8 + 32212992*a^50*b^21*d^8 + 13439488*a^52*b^19*d^8 + 4334080*a^54*b^17*d^8 + 1040640*a^56*b^15*d^8 + 174848*a^58*b^13*d^8 + 18304*a^60*b^11*d^8 + 896*a^62*b^9*d^8))*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) - 800*a^21*b^45*d^6 - 10400*a^23*b^43*d^6 - 54400*a^25*b^41*d^6 - 121600*a^27*b^39*d^6 + 90304*a^29*b^37*d^6 + 1465856*a^31*b^35*d^6 + 5014464*a^33*b^33*d^6 + 10323456*a^35*b^31*d^6 + 14661504*a^37*b^29*d^6 + 14908608*a^39*b^27*d^6 + 10808512*a^41*b^25*d^6 + 5328128*a^43*b^23*d^6 + 1531712*a^45*b^21*d^6 + 87808*a^47*b^19*d^6 - 85696*a^49*b^17*d^6 - 6144*a^51*b^15*d^6 + 15264*a^53*b^13*d^6 + 5856*a^55*b^11*d^6 + 704*a^57*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(67232*a^27*b^36*d^5 - 3200*a^23*b^40*d^5 - 3200*a^25*b^38*d^5 - 400*a^21*b^42*d^5 + 437248*a^29*b^34*d^5 + 1458912*a^31*b^32*d^5 + 3214848*a^33*b^30*d^5 + 5065632*a^35*b^28*d^5 + 5898464*a^37*b^26*d^5 + 5129696*a^39*b^24*d^5 + 3313024*a^41*b^22*d^5 + 1552096*a^43*b^20*d^5 + 500864*a^45*b^18*d^5 + 99232*a^47*b^16*d^5 + 8448*a^49*b^14*d^5 - 288*a^51*b^12*d^5 + 48*a^53*b^10*d^5 + 32*a^55*b^8*d^5))*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) + 5520*a^24*b^37*d^4 + 35280*a^26*b^35*d^4 + 138320*a^28*b^33*d^4 + 371280*a^30*b^31*d^4 + 720720*a^32*b^29*d^4 + 1041040*a^34*b^27*d^4 + 1132560*a^36*b^25*d^4 + 926640*a^38*b^23*d^4 + 560560*a^40*b^21*d^4 + 240240*a^42*b^19*d^4 + 65520*a^44*b^17*d^4 + 7280*a^46*b^15*d^4 - 1680*a^48*b^13*d^4 - 720*a^50*b^11*d^4 - 80*a^52*b^9*d^4)*(((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) - a^5*d^2 - 5*a*b^4*d^2 + 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) - log(400*a^22*b^39*d^4 - ((-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(((a + b*tan(c + d*x))^(1/2)*(1600*a^22*b^46*d^7 + 28800*a^24*b^44*d^7 + 244800*a^26*b^42*d^7 + 1304256*a^28*b^40*d^7 + 4880128*a^30*b^38*d^7 + 13627392*a^32*b^36*d^7 + 29476608*a^34*b^34*d^7 + 50615552*a^36*b^32*d^7 + 70152576*a^38*b^30*d^7 + 79329536*a^40*b^28*d^7 + 73600384*a^42*b^26*d^7 + 56025216*a^44*b^24*d^7 + 34754304*a^46*b^22*d^7 + 17296384*a^48*b^20*d^7 + 6713088*a^50*b^18*d^7 + 1934592*a^52*b^16*d^7 + 377408*a^54*b^14*d^7 + 39552*a^56*b^12*d^7 + 64*a^58*b^10*d^7 - 320*a^60*b^8*d^7) + (-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(1280*a^24*b^47*d^8 - (-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(512*a^27*b^46*d^9 + 9984*a^29*b^44*d^9 + 92160*a^31*b^42*d^9 + 535296*a^33*b^40*d^9 + 2193408*a^35*b^38*d^9 + 6736896*a^37*b^36*d^9 + 16084992*a^39*b^34*d^9 + 30551040*a^41*b^32*d^9 + 46844928*a^43*b^30*d^9 + 58499584*a^45*b^28*d^9 + 59744256*a^47*b^26*d^9 + 49900032*a^49*b^24*d^9 + 33945600*a^51*b^22*d^9 + 18643968*a^53*b^20*d^9 + 8146944*a^55*b^18*d^9 + 2767872*a^57*b^16*d^9 + 705024*a^59*b^14*d^9 + 126720*a^61*b^12*d^9 + 14336*a^63*b^10*d^9 + 768*a^65*b^8*d^9) + 24320*a^26*b^45*d^8 + 219008*a^28*b^43*d^8 + 1241984*a^30*b^41*d^8 + 4970496*a^32*b^39*d^8 + 14909440*a^34*b^37*d^8 + 34746880*a^36*b^35*d^8 + 64356864*a^38*b^33*d^8 + 96092672*a^40*b^31*d^8 + 116633088*a^42*b^29*d^8 + 115498240*a^44*b^27*d^8 + 93267200*a^46*b^25*d^8 + 61128704*a^48*b^23*d^8 + 32212992*a^50*b^21*d^8 + 13439488*a^52*b^19*d^8 + 4334080*a^54*b^17*d^8 + 1040640*a^56*b^15*d^8 + 174848*a^58*b^13*d^8 + 18304*a^60*b^11*d^8 + 896*a^62*b^9*d^8))*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) - 800*a^21*b^45*d^6 - 10400*a^23*b^43*d^6 - 54400*a^25*b^41*d^6 - 121600*a^27*b^39*d^6 + 90304*a^29*b^37*d^6 + 1465856*a^31*b^35*d^6 + 5014464*a^33*b^33*d^6 + 10323456*a^35*b^31*d^6 + 14661504*a^37*b^29*d^6 + 14908608*a^39*b^27*d^6 + 10808512*a^41*b^25*d^6 + 5328128*a^43*b^23*d^6 + 1531712*a^45*b^21*d^6 + 87808*a^47*b^19*d^6 - 85696*a^49*b^17*d^6 - 6144*a^51*b^15*d^6 + 15264*a^53*b^13*d^6 + 5856*a^55*b^11*d^6 + 704*a^57*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(67232*a^27*b^36*d^5 - 3200*a^23*b^40*d^5 - 3200*a^25*b^38*d^5 - 400*a^21*b^42*d^5 + 437248*a^29*b^34*d^5 + 1458912*a^31*b^32*d^5 + 3214848*a^33*b^30*d^5 + 5065632*a^35*b^28*d^5 + 5898464*a^37*b^26*d^5 + 5129696*a^39*b^24*d^5 + 3313024*a^41*b^22*d^5 + 1552096*a^43*b^20*d^5 + 500864*a^45*b^18*d^5 + 99232*a^47*b^16*d^5 + 8448*a^49*b^14*d^5 - 288*a^51*b^12*d^5 + 48*a^53*b^10*d^5 + 32*a^55*b^8*d^5))*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) + 5520*a^24*b^37*d^4 + 35280*a^26*b^35*d^4 + 138320*a^28*b^33*d^4 + 371280*a^30*b^31*d^4 + 720720*a^32*b^29*d^4 + 1041040*a^34*b^27*d^4 + 1132560*a^36*b^25*d^4 + 926640*a^38*b^23*d^4 + 560560*a^40*b^21*d^4 + 240240*a^42*b^19*d^4 + 65520*a^44*b^17*d^4 + 7280*a^46*b^15*d^4 - 1680*a^48*b^13*d^4 - 720*a^50*b^11*d^4 - 80*a^52*b^9*d^4)*(-((20*a^2*b^8*d^4 - b^10*d^4 - 110*a^4*b^6*d^4 + 100*a^6*b^4*d^4 - 25*a^8*b^2*d^4)^(1/2) + a^5*d^2 + 5*a*b^4*d^2 - 10*a^3*b^2*d^2)/(4*a^10*d^4 + 4*b^10*d^4 + 20*a^2*b^8*d^4 + 40*a^4*b^6*d^4 + 40*a^6*b^4*d^4 + 20*a^8*b^2*d^4))^(1/2) - (b*atan((a^13*b^51*d^4*(a + b*tan(c + d*x))^(1/2)*100000i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^15*b^49*d^4*(a + b*tan(c + d*x))^(1/2)*1900000i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^17*b^47*d^4*(a + b*tan(c + d*x))^(1/2)*17100000i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^19*b^45*d^4*(a + b*tan(c + d*x))^(1/2)*96900000i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^21*b^43*d^4*(a + b*tan(c + d*x))^(1/2)*387640000i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^23*b^41*d^4*(a + b*tan(c + d*x))^(1/2)*1163280000i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^25*b^39*d^4*(a + b*tan(c + d*x))^(1/2)*2715728000i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^27*b^37*d^4*(a + b*tan(c + d*x))^(1/2)*5046192160i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^29*b^35*d^4*(a + b*tan(c + d*x))^(1/2)*7569850240i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^31*b^33*d^4*(a + b*tan(c + d*x))^(1/2)*9240726560i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^33*b^31*d^4*(a + b*tan(c + d*x))^(1/2)*9205826240i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^35*b^29*d^4*(a + b*tan(c + d*x))^(1/2)*7471416160i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^37*b^27*d^4*(a + b*tan(c + d*x))^(1/2)*4908704320i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^39*b^25*d^4*(a + b*tan(c + d*x))^(1/2)*2580976480i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^41*b^23*d^4*(a + b*tan(c + d*x))^(1/2)*1067253120i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^43*b^21*d^4*(a + b*tan(c + d*x))^(1/2)*338576480i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^45*b^19*d^4*(a + b*tan(c + d*x))^(1/2)*79748320i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^47*b^17*d^4*(a + b*tan(c + d*x))^(1/2)*13452160i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^49*b^15*d^4*(a + b*tan(c + d*x))^(1/2)*1606240i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^51*b^13*d^4*(a + b*tan(c + d*x))^(1/2)*146560i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^53*b^11*d^4*(a + b*tan(c + d*x))^(1/2)*10240i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)) + (a^55*b^9*d^4*(a + b*tan(c + d*x))^(1/2)*160i)/((a^7)^(1/2)*(100000*a^10*b^51*d^4 + 1900000*a^12*b^49*d^4 + 17100000*a^14*b^47*d^4 + 96900000*a^16*b^45*d^4 + 387640000*a^18*b^43*d^4 + 1163280000*a^20*b^41*d^4 + 2715728000*a^22*b^39*d^4 + 5046192160*a^24*b^37*d^4 + 7569850240*a^26*b^35*d^4 + 9240726560*a^28*b^33*d^4 + 9205826240*a^30*b^31*d^4 + 7471416160*a^32*b^29*d^4 + 4908704320*a^34*b^27*d^4 + 2580976480*a^36*b^25*d^4 + 1067253120*a^38*b^23*d^4 + 338576480*a^40*b^21*d^4 + 79748320*a^42*b^19*d^4 + 13452160*a^44*b^17*d^4 + 1606240*a^46*b^15*d^4 + 146560*a^48*b^13*d^4 + 10240*a^50*b^11*d^4 + 160*a^52*b^9*d^4)))*5i)/(d*(a^7)^(1/2))","B"
554,1,5307,194,20.891570,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(7/2),x)","\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{24}\,b^2\,d^3+96\,a^{22}\,b^4\,d^3+1344\,a^{20}\,b^6\,d^3+5152\,a^{18}\,b^8\,d^3+9648\,a^{16}\,b^{10}\,d^3+8640\,a^{14}\,b^{12}\,d^3-8640\,a^{10}\,b^{16}\,d^3-9648\,a^8\,b^{18}\,d^3-5152\,a^6\,b^{20}\,d^3-1344\,a^4\,b^{22}\,d^3-96\,a^2\,b^{24}\,d^3+16\,b^{26}\,d^3\right)-\frac{\sqrt{-\frac{1}{a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}}}\,\left(16896\,a^{15}\,b^{15}\,d^4+\frac{\sqrt{-\frac{1}{a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{31}\,b^2\,d^5+960\,a^{29}\,b^4\,d^5+6720\,a^{27}\,b^6\,d^5+29120\,a^{25}\,b^8\,d^5+87360\,a^{23}\,b^{10}\,d^5+192192\,a^{21}\,b^{12}\,d^5+320320\,a^{19}\,b^{14}\,d^5+411840\,a^{17}\,b^{16}\,d^5+411840\,a^{15}\,b^{18}\,d^5+320320\,a^{13}\,b^{20}\,d^5+192192\,a^{11}\,b^{22}\,d^5+87360\,a^9\,b^{24}\,d^5+29120\,a^7\,b^{26}\,d^5+6720\,a^5\,b^{28}\,d^5+960\,a^3\,b^{30}\,d^5+64\,a\,b^{32}\,d^5\right)}{2}-1408\,a^3\,b^{27}\,d^4-6912\,a^5\,b^{25}\,d^4-19712\,a^7\,b^{23}\,d^4-35200\,a^9\,b^{21}\,d^4-38016\,a^{11}\,b^{19}\,d^4-16896\,a^{13}\,b^{17}\,d^4-128\,a\,b^{29}\,d^4+38016\,a^{17}\,b^{13}\,d^4+35200\,a^{19}\,b^{11}\,d^4+19712\,a^{21}\,b^9\,d^4+6912\,a^{23}\,b^7\,d^4+1408\,a^{25}\,b^5\,d^4+128\,a^{27}\,b^3\,d^4\right)}{2}\right)\,\sqrt{-\frac{1}{a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}}}}{2}-8\,b^{23}\,d^2-48\,a^2\,b^{21}\,d^2-72\,a^4\,b^{19}\,d^2+192\,a^6\,b^{17}\,d^2+1008\,a^8\,b^{15}\,d^2+2016\,a^{10}\,b^{13}\,d^2+2352\,a^{12}\,b^{11}\,d^2+1728\,a^{14}\,b^9\,d^2+792\,a^{16}\,b^7\,d^2+208\,a^{18}\,b^5\,d^2+24\,a^{20}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(192\,a^6\,b^{17}\,d^2-8\,b^{23}\,d^2-48\,a^2\,b^{21}\,d^2-72\,a^4\,b^{19}\,d^2-\sqrt{-\frac{1}{4\,\left(a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{24}\,b^2\,d^3+96\,a^{22}\,b^4\,d^3+1344\,a^{20}\,b^6\,d^3+5152\,a^{18}\,b^8\,d^3+9648\,a^{16}\,b^{10}\,d^3+8640\,a^{14}\,b^{12}\,d^3-8640\,a^{10}\,b^{16}\,d^3-9648\,a^8\,b^{18}\,d^3-5152\,a^6\,b^{20}\,d^3-1344\,a^4\,b^{22}\,d^3-96\,a^2\,b^{24}\,d^3+16\,b^{26}\,d^3\right)-\sqrt{-\frac{1}{4\,\left(a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}\right)}}\,\left(128\,a\,b^{29}\,d^4+\sqrt{-\frac{1}{4\,\left(a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{31}\,b^2\,d^5+960\,a^{29}\,b^4\,d^5+6720\,a^{27}\,b^6\,d^5+29120\,a^{25}\,b^8\,d^5+87360\,a^{23}\,b^{10}\,d^5+192192\,a^{21}\,b^{12}\,d^5+320320\,a^{19}\,b^{14}\,d^5+411840\,a^{17}\,b^{16}\,d^5+411840\,a^{15}\,b^{18}\,d^5+320320\,a^{13}\,b^{20}\,d^5+192192\,a^{11}\,b^{22}\,d^5+87360\,a^9\,b^{24}\,d^5+29120\,a^7\,b^{26}\,d^5+6720\,a^5\,b^{28}\,d^5+960\,a^3\,b^{30}\,d^5+64\,a\,b^{32}\,d^5\right)+1408\,a^3\,b^{27}\,d^4+6912\,a^5\,b^{25}\,d^4+19712\,a^7\,b^{23}\,d^4+35200\,a^9\,b^{21}\,d^4+38016\,a^{11}\,b^{19}\,d^4+16896\,a^{13}\,b^{17}\,d^4-16896\,a^{15}\,b^{15}\,d^4-38016\,a^{17}\,b^{13}\,d^4-35200\,a^{19}\,b^{11}\,d^4-19712\,a^{21}\,b^9\,d^4-6912\,a^{23}\,b^7\,d^4-1408\,a^{25}\,b^5\,d^4-128\,a^{27}\,b^3\,d^4\right)\right)+1008\,a^8\,b^{15}\,d^2+2016\,a^{10}\,b^{13}\,d^2+2352\,a^{12}\,b^{11}\,d^2+1728\,a^{14}\,b^9\,d^2+792\,a^{16}\,b^7\,d^2+208\,a^{18}\,b^5\,d^2+24\,a^{20}\,b^3\,d^2\right)\,\sqrt{-\frac{1}{4\,\left(a^7\,d^2-a^6\,b\,d^2\,7{}\mathrm{i}-21\,a^5\,b^2\,d^2+a^4\,b^3\,d^2\,35{}\mathrm{i}+35\,a^3\,b^4\,d^2-a^2\,b^5\,d^2\,21{}\mathrm{i}-7\,a\,b^6\,d^2+b^7\,d^2\,1{}\mathrm{i}\right)}}-\frac{\frac{2\,b}{5\,\left(a^2+b^2\right)}+\frac{4\,a\,b\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{3\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{2\,b\,\left(3\,a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}+\mathrm{atan}\left(-\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{24}\,b^2\,d^3+96\,a^{22}\,b^4\,d^3+1344\,a^{20}\,b^6\,d^3+5152\,a^{18}\,b^8\,d^3+9648\,a^{16}\,b^{10}\,d^3+8640\,a^{14}\,b^{12}\,d^3-8640\,a^{10}\,b^{16}\,d^3-9648\,a^8\,b^{18}\,d^3-5152\,a^6\,b^{20}\,d^3-1344\,a^4\,b^{22}\,d^3-96\,a^2\,b^{24}\,d^3+16\,b^{26}\,d^3\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(16896\,a^{15}\,b^{15}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{31}\,b^2\,d^5+960\,a^{29}\,b^4\,d^5+6720\,a^{27}\,b^6\,d^5+29120\,a^{25}\,b^8\,d^5+87360\,a^{23}\,b^{10}\,d^5+192192\,a^{21}\,b^{12}\,d^5+320320\,a^{19}\,b^{14}\,d^5+411840\,a^{17}\,b^{16}\,d^5+411840\,a^{15}\,b^{18}\,d^5+320320\,a^{13}\,b^{20}\,d^5+192192\,a^{11}\,b^{22}\,d^5+87360\,a^9\,b^{24}\,d^5+29120\,a^7\,b^{26}\,d^5+6720\,a^5\,b^{28}\,d^5+960\,a^3\,b^{30}\,d^5+64\,a\,b^{32}\,d^5\right)-1408\,a^3\,b^{27}\,d^4-6912\,a^5\,b^{25}\,d^4-19712\,a^7\,b^{23}\,d^4-35200\,a^9\,b^{21}\,d^4-38016\,a^{11}\,b^{19}\,d^4-16896\,a^{13}\,b^{17}\,d^4-128\,a\,b^{29}\,d^4+38016\,a^{17}\,b^{13}\,d^4+35200\,a^{19}\,b^{11}\,d^4+19712\,a^{21}\,b^9\,d^4+6912\,a^{23}\,b^7\,d^4+1408\,a^{25}\,b^5\,d^4+128\,a^{27}\,b^3\,d^4\right)\right)\,1{}\mathrm{i}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{24}\,b^2\,d^3+96\,a^{22}\,b^4\,d^3+1344\,a^{20}\,b^6\,d^3+5152\,a^{18}\,b^8\,d^3+9648\,a^{16}\,b^{10}\,d^3+8640\,a^{14}\,b^{12}\,d^3-8640\,a^{10}\,b^{16}\,d^3-9648\,a^8\,b^{18}\,d^3-5152\,a^6\,b^{20}\,d^3-1344\,a^4\,b^{22}\,d^3-96\,a^2\,b^{24}\,d^3+16\,b^{26}\,d^3\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(128\,a\,b^{29}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{31}\,b^2\,d^5+960\,a^{29}\,b^4\,d^5+6720\,a^{27}\,b^6\,d^5+29120\,a^{25}\,b^8\,d^5+87360\,a^{23}\,b^{10}\,d^5+192192\,a^{21}\,b^{12}\,d^5+320320\,a^{19}\,b^{14}\,d^5+411840\,a^{17}\,b^{16}\,d^5+411840\,a^{15}\,b^{18}\,d^5+320320\,a^{13}\,b^{20}\,d^5+192192\,a^{11}\,b^{22}\,d^5+87360\,a^9\,b^{24}\,d^5+29120\,a^7\,b^{26}\,d^5+6720\,a^5\,b^{28}\,d^5+960\,a^3\,b^{30}\,d^5+64\,a\,b^{32}\,d^5\right)+1408\,a^3\,b^{27}\,d^4+6912\,a^5\,b^{25}\,d^4+19712\,a^7\,b^{23}\,d^4+35200\,a^9\,b^{21}\,d^4+38016\,a^{11}\,b^{19}\,d^4+16896\,a^{13}\,b^{17}\,d^4-16896\,a^{15}\,b^{15}\,d^4-38016\,a^{17}\,b^{13}\,d^4-35200\,a^{19}\,b^{11}\,d^4-19712\,a^{21}\,b^9\,d^4-6912\,a^{23}\,b^7\,d^4-1408\,a^{25}\,b^5\,d^4-128\,a^{27}\,b^3\,d^4\right)\right)\,1{}\mathrm{i}}{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{24}\,b^2\,d^3+96\,a^{22}\,b^4\,d^3+1344\,a^{20}\,b^6\,d^3+5152\,a^{18}\,b^8\,d^3+9648\,a^{16}\,b^{10}\,d^3+8640\,a^{14}\,b^{12}\,d^3-8640\,a^{10}\,b^{16}\,d^3-9648\,a^8\,b^{18}\,d^3-5152\,a^6\,b^{20}\,d^3-1344\,a^4\,b^{22}\,d^3-96\,a^2\,b^{24}\,d^3+16\,b^{26}\,d^3\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(16896\,a^{15}\,b^{15}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{31}\,b^2\,d^5+960\,a^{29}\,b^4\,d^5+6720\,a^{27}\,b^6\,d^5+29120\,a^{25}\,b^8\,d^5+87360\,a^{23}\,b^{10}\,d^5+192192\,a^{21}\,b^{12}\,d^5+320320\,a^{19}\,b^{14}\,d^5+411840\,a^{17}\,b^{16}\,d^5+411840\,a^{15}\,b^{18}\,d^5+320320\,a^{13}\,b^{20}\,d^5+192192\,a^{11}\,b^{22}\,d^5+87360\,a^9\,b^{24}\,d^5+29120\,a^7\,b^{26}\,d^5+6720\,a^5\,b^{28}\,d^5+960\,a^3\,b^{30}\,d^5+64\,a\,b^{32}\,d^5\right)-1408\,a^3\,b^{27}\,d^4-6912\,a^5\,b^{25}\,d^4-19712\,a^7\,b^{23}\,d^4-35200\,a^9\,b^{21}\,d^4-38016\,a^{11}\,b^{19}\,d^4-16896\,a^{13}\,b^{17}\,d^4-128\,a\,b^{29}\,d^4+38016\,a^{17}\,b^{13}\,d^4+35200\,a^{19}\,b^{11}\,d^4+19712\,a^{21}\,b^9\,d^4+6912\,a^{23}\,b^7\,d^4+1408\,a^{25}\,b^5\,d^4+128\,a^{27}\,b^3\,d^4\right)\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{24}\,b^2\,d^3+96\,a^{22}\,b^4\,d^3+1344\,a^{20}\,b^6\,d^3+5152\,a^{18}\,b^8\,d^3+9648\,a^{16}\,b^{10}\,d^3+8640\,a^{14}\,b^{12}\,d^3-8640\,a^{10}\,b^{16}\,d^3-9648\,a^8\,b^{18}\,d^3-5152\,a^6\,b^{20}\,d^3-1344\,a^4\,b^{22}\,d^3-96\,a^2\,b^{24}\,d^3+16\,b^{26}\,d^3\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\left(128\,a\,b^{29}\,d^4+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{31}\,b^2\,d^5+960\,a^{29}\,b^4\,d^5+6720\,a^{27}\,b^6\,d^5+29120\,a^{25}\,b^8\,d^5+87360\,a^{23}\,b^{10}\,d^5+192192\,a^{21}\,b^{12}\,d^5+320320\,a^{19}\,b^{14}\,d^5+411840\,a^{17}\,b^{16}\,d^5+411840\,a^{15}\,b^{18}\,d^5+320320\,a^{13}\,b^{20}\,d^5+192192\,a^{11}\,b^{22}\,d^5+87360\,a^9\,b^{24}\,d^5+29120\,a^7\,b^{26}\,d^5+6720\,a^5\,b^{28}\,d^5+960\,a^3\,b^{30}\,d^5+64\,a\,b^{32}\,d^5\right)+1408\,a^3\,b^{27}\,d^4+6912\,a^5\,b^{25}\,d^4+19712\,a^7\,b^{23}\,d^4+35200\,a^9\,b^{21}\,d^4+38016\,a^{11}\,b^{19}\,d^4+16896\,a^{13}\,b^{17}\,d^4-16896\,a^{15}\,b^{15}\,d^4-38016\,a^{17}\,b^{13}\,d^4-35200\,a^{19}\,b^{11}\,d^4-19712\,a^{21}\,b^9\,d^4-6912\,a^{23}\,b^7\,d^4-1408\,a^{25}\,b^5\,d^4-128\,a^{27}\,b^3\,d^4\right)\right)-16\,b^{23}\,d^2-96\,a^2\,b^{21}\,d^2-144\,a^4\,b^{19}\,d^2+384\,a^6\,b^{17}\,d^2+2016\,a^8\,b^{15}\,d^2+4032\,a^{10}\,b^{13}\,d^2+4704\,a^{12}\,b^{11}\,d^2+3456\,a^{14}\,b^9\,d^2+1584\,a^{16}\,b^7\,d^2+416\,a^{18}\,b^5\,d^2+48\,a^{20}\,b^3\,d^2}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^7\,d^2\,1{}\mathrm{i}-7\,a^6\,b\,d^2-a^5\,b^2\,d^2\,21{}\mathrm{i}+35\,a^4\,b^3\,d^2+a^3\,b^4\,d^2\,35{}\mathrm{i}-21\,a^2\,b^5\,d^2-a\,b^6\,d^2\,7{}\mathrm{i}+b^7\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/2)*(16*b^26*d^3 - 96*a^2*b^24*d^3 - 1344*a^4*b^22*d^3 - 5152*a^6*b^20*d^3 - 9648*a^8*b^18*d^3 - 8640*a^10*b^16*d^3 + 8640*a^14*b^12*d^3 + 9648*a^16*b^10*d^3 + 5152*a^18*b^8*d^3 + 1344*a^20*b^6*d^3 + 96*a^22*b^4*d^3 - 16*a^24*b^2*d^3) - ((-1/(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2))^(1/2)*(((-1/(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^32*d^5 + 960*a^3*b^30*d^5 + 6720*a^5*b^28*d^5 + 29120*a^7*b^26*d^5 + 87360*a^9*b^24*d^5 + 192192*a^11*b^22*d^5 + 320320*a^13*b^20*d^5 + 411840*a^15*b^18*d^5 + 411840*a^17*b^16*d^5 + 320320*a^19*b^14*d^5 + 192192*a^21*b^12*d^5 + 87360*a^23*b^10*d^5 + 29120*a^25*b^8*d^5 + 6720*a^27*b^6*d^5 + 960*a^29*b^4*d^5 + 64*a^31*b^2*d^5))/2 - 128*a*b^29*d^4 - 1408*a^3*b^27*d^4 - 6912*a^5*b^25*d^4 - 19712*a^7*b^23*d^4 - 35200*a^9*b^21*d^4 - 38016*a^11*b^19*d^4 - 16896*a^13*b^17*d^4 + 16896*a^15*b^15*d^4 + 38016*a^17*b^13*d^4 + 35200*a^19*b^11*d^4 + 19712*a^21*b^9*d^4 + 6912*a^23*b^7*d^4 + 1408*a^25*b^5*d^4 + 128*a^27*b^3*d^4))/2)*(-1/(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2))^(1/2))/2 - 8*b^23*d^2 - 48*a^2*b^21*d^2 - 72*a^4*b^19*d^2 + 192*a^6*b^17*d^2 + 1008*a^8*b^15*d^2 + 2016*a^10*b^13*d^2 + 2352*a^12*b^11*d^2 + 1728*a^14*b^9*d^2 + 792*a^16*b^7*d^2 + 208*a^18*b^5*d^2 + 24*a^20*b^3*d^2)*(-1/(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2))^(1/2))/2 - log(192*a^6*b^17*d^2 - 8*b^23*d^2 - 48*a^2*b^21*d^2 - 72*a^4*b^19*d^2 - (-1/(4*(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*b^26*d^3 - 96*a^2*b^24*d^3 - 1344*a^4*b^22*d^3 - 5152*a^6*b^20*d^3 - 9648*a^8*b^18*d^3 - 8640*a^10*b^16*d^3 + 8640*a^14*b^12*d^3 + 9648*a^16*b^10*d^3 + 5152*a^18*b^8*d^3 + 1344*a^20*b^6*d^3 + 96*a^22*b^4*d^3 - 16*a^24*b^2*d^3) - (-1/(4*(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2)))^(1/2)*(128*a*b^29*d^4 + (-1/(4*(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^32*d^5 + 960*a^3*b^30*d^5 + 6720*a^5*b^28*d^5 + 29120*a^7*b^26*d^5 + 87360*a^9*b^24*d^5 + 192192*a^11*b^22*d^5 + 320320*a^13*b^20*d^5 + 411840*a^15*b^18*d^5 + 411840*a^17*b^16*d^5 + 320320*a^19*b^14*d^5 + 192192*a^21*b^12*d^5 + 87360*a^23*b^10*d^5 + 29120*a^25*b^8*d^5 + 6720*a^27*b^6*d^5 + 960*a^29*b^4*d^5 + 64*a^31*b^2*d^5) + 1408*a^3*b^27*d^4 + 6912*a^5*b^25*d^4 + 19712*a^7*b^23*d^4 + 35200*a^9*b^21*d^4 + 38016*a^11*b^19*d^4 + 16896*a^13*b^17*d^4 - 16896*a^15*b^15*d^4 - 38016*a^17*b^13*d^4 - 35200*a^19*b^11*d^4 - 19712*a^21*b^9*d^4 - 6912*a^23*b^7*d^4 - 1408*a^25*b^5*d^4 - 128*a^27*b^3*d^4)) + 1008*a^8*b^15*d^2 + 2016*a^10*b^13*d^2 + 2352*a^12*b^11*d^2 + 1728*a^14*b^9*d^2 + 792*a^16*b^7*d^2 + 208*a^18*b^5*d^2 + 24*a^20*b^3*d^2)*(-1/(4*(a^7*d^2 + b^7*d^2*1i - 7*a*b^6*d^2 - a^6*b*d^2*7i - a^2*b^5*d^2*21i + 35*a^3*b^4*d^2 + a^4*b^3*d^2*35i - 21*a^5*b^2*d^2)))^(1/2) + atan(-((-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*b^26*d^3 - 96*a^2*b^24*d^3 - 1344*a^4*b^22*d^3 - 5152*a^6*b^20*d^3 - 9648*a^8*b^18*d^3 - 8640*a^10*b^16*d^3 + 8640*a^14*b^12*d^3 + 9648*a^16*b^10*d^3 + 5152*a^18*b^8*d^3 + 1344*a^20*b^6*d^3 + 96*a^22*b^4*d^3 - 16*a^24*b^2*d^3) - (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*((-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^32*d^5 + 960*a^3*b^30*d^5 + 6720*a^5*b^28*d^5 + 29120*a^7*b^26*d^5 + 87360*a^9*b^24*d^5 + 192192*a^11*b^22*d^5 + 320320*a^13*b^20*d^5 + 411840*a^15*b^18*d^5 + 411840*a^17*b^16*d^5 + 320320*a^19*b^14*d^5 + 192192*a^21*b^12*d^5 + 87360*a^23*b^10*d^5 + 29120*a^25*b^8*d^5 + 6720*a^27*b^6*d^5 + 960*a^29*b^4*d^5 + 64*a^31*b^2*d^5) - 128*a*b^29*d^4 - 1408*a^3*b^27*d^4 - 6912*a^5*b^25*d^4 - 19712*a^7*b^23*d^4 - 35200*a^9*b^21*d^4 - 38016*a^11*b^19*d^4 - 16896*a^13*b^17*d^4 + 16896*a^15*b^15*d^4 + 38016*a^17*b^13*d^4 + 35200*a^19*b^11*d^4 + 19712*a^21*b^9*d^4 + 6912*a^23*b^7*d^4 + 1408*a^25*b^5*d^4 + 128*a^27*b^3*d^4))*1i + (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*b^26*d^3 - 96*a^2*b^24*d^3 - 1344*a^4*b^22*d^3 - 5152*a^6*b^20*d^3 - 9648*a^8*b^18*d^3 - 8640*a^10*b^16*d^3 + 8640*a^14*b^12*d^3 + 9648*a^16*b^10*d^3 + 5152*a^18*b^8*d^3 + 1344*a^20*b^6*d^3 + 96*a^22*b^4*d^3 - 16*a^24*b^2*d^3) - (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*(128*a*b^29*d^4 + (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^32*d^5 + 960*a^3*b^30*d^5 + 6720*a^5*b^28*d^5 + 29120*a^7*b^26*d^5 + 87360*a^9*b^24*d^5 + 192192*a^11*b^22*d^5 + 320320*a^13*b^20*d^5 + 411840*a^15*b^18*d^5 + 411840*a^17*b^16*d^5 + 320320*a^19*b^14*d^5 + 192192*a^21*b^12*d^5 + 87360*a^23*b^10*d^5 + 29120*a^25*b^8*d^5 + 6720*a^27*b^6*d^5 + 960*a^29*b^4*d^5 + 64*a^31*b^2*d^5) + 1408*a^3*b^27*d^4 + 6912*a^5*b^25*d^4 + 19712*a^7*b^23*d^4 + 35200*a^9*b^21*d^4 + 38016*a^11*b^19*d^4 + 16896*a^13*b^17*d^4 - 16896*a^15*b^15*d^4 - 38016*a^17*b^13*d^4 - 35200*a^19*b^11*d^4 - 19712*a^21*b^9*d^4 - 6912*a^23*b^7*d^4 - 1408*a^25*b^5*d^4 - 128*a^27*b^3*d^4))*1i)/((-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*b^26*d^3 - 96*a^2*b^24*d^3 - 1344*a^4*b^22*d^3 - 5152*a^6*b^20*d^3 - 9648*a^8*b^18*d^3 - 8640*a^10*b^16*d^3 + 8640*a^14*b^12*d^3 + 9648*a^16*b^10*d^3 + 5152*a^18*b^8*d^3 + 1344*a^20*b^6*d^3 + 96*a^22*b^4*d^3 - 16*a^24*b^2*d^3) - (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*((-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^32*d^5 + 960*a^3*b^30*d^5 + 6720*a^5*b^28*d^5 + 29120*a^7*b^26*d^5 + 87360*a^9*b^24*d^5 + 192192*a^11*b^22*d^5 + 320320*a^13*b^20*d^5 + 411840*a^15*b^18*d^5 + 411840*a^17*b^16*d^5 + 320320*a^19*b^14*d^5 + 192192*a^21*b^12*d^5 + 87360*a^23*b^10*d^5 + 29120*a^25*b^8*d^5 + 6720*a^27*b^6*d^5 + 960*a^29*b^4*d^5 + 64*a^31*b^2*d^5) - 128*a*b^29*d^4 - 1408*a^3*b^27*d^4 - 6912*a^5*b^25*d^4 - 19712*a^7*b^23*d^4 - 35200*a^9*b^21*d^4 - 38016*a^11*b^19*d^4 - 16896*a^13*b^17*d^4 + 16896*a^15*b^15*d^4 + 38016*a^17*b^13*d^4 + 35200*a^19*b^11*d^4 + 19712*a^21*b^9*d^4 + 6912*a^23*b^7*d^4 + 1408*a^25*b^5*d^4 + 128*a^27*b^3*d^4)) - (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*b^26*d^3 - 96*a^2*b^24*d^3 - 1344*a^4*b^22*d^3 - 5152*a^6*b^20*d^3 - 9648*a^8*b^18*d^3 - 8640*a^10*b^16*d^3 + 8640*a^14*b^12*d^3 + 9648*a^16*b^10*d^3 + 5152*a^18*b^8*d^3 + 1344*a^20*b^6*d^3 + 96*a^22*b^4*d^3 - 16*a^24*b^2*d^3) - (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*(128*a*b^29*d^4 + (-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(64*a*b^32*d^5 + 960*a^3*b^30*d^5 + 6720*a^5*b^28*d^5 + 29120*a^7*b^26*d^5 + 87360*a^9*b^24*d^5 + 192192*a^11*b^22*d^5 + 320320*a^13*b^20*d^5 + 411840*a^15*b^18*d^5 + 411840*a^17*b^16*d^5 + 320320*a^19*b^14*d^5 + 192192*a^21*b^12*d^5 + 87360*a^23*b^10*d^5 + 29120*a^25*b^8*d^5 + 6720*a^27*b^6*d^5 + 960*a^29*b^4*d^5 + 64*a^31*b^2*d^5) + 1408*a^3*b^27*d^4 + 6912*a^5*b^25*d^4 + 19712*a^7*b^23*d^4 + 35200*a^9*b^21*d^4 + 38016*a^11*b^19*d^4 + 16896*a^13*b^17*d^4 - 16896*a^15*b^15*d^4 - 38016*a^17*b^13*d^4 - 35200*a^19*b^11*d^4 - 19712*a^21*b^9*d^4 - 6912*a^23*b^7*d^4 - 1408*a^25*b^5*d^4 - 128*a^27*b^3*d^4)) - 16*b^23*d^2 - 96*a^2*b^21*d^2 - 144*a^4*b^19*d^2 + 384*a^6*b^17*d^2 + 2016*a^8*b^15*d^2 + 4032*a^10*b^13*d^2 + 4704*a^12*b^11*d^2 + 3456*a^14*b^9*d^2 + 1584*a^16*b^7*d^2 + 416*a^18*b^5*d^2 + 48*a^20*b^3*d^2))*(-1i/(4*(a^7*d^2*1i + b^7*d^2 - a*b^6*d^2*7i - 7*a^6*b*d^2 - 21*a^2*b^5*d^2 + a^3*b^4*d^2*35i + 35*a^4*b^3*d^2 - a^5*b^2*d^2*21i)))^(1/2)*2i - ((2*b)/(5*(a^2 + b^2)) + (4*a*b*(a + b*tan(c + d*x)))/(3*(a^4 + b^4 + 2*a^2*b^2)) + (2*b*(3*a^2 - b^2)*(a + b*tan(c + d*x))^2)/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2))/(d*(a + b*tan(c + d*x))^(5/2))","B"
555,1,130,202,5.936353,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x)),x)","\frac{2\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\frac{2\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}\right)}{d}","Not used",1,"(2*a*tan(c + d*x)^(3/2))/(3*d) - (2*b*tan(c + d*x)^(1/2))/d + (2*b*tan(c + d*x)^(5/2))/(5*d) - ((-1)^(1/4)*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/d + ((-1)^(1/4)*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d - ((-1)^(1/4)*b*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d - ((-1)^(1/4)*b*atan((-1)^(1/4)*tan(c + d*x)^(1/2)*1i))/d","B"
556,1,114,184,5.057262,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x)),x)","\frac{2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2*a*tan(c + d*x)^(1/2))/d + (2*b*tan(c + d*x)^(3/2))/(3*d) + ((-1)^(1/4)*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d + ((-1)^(1/4)*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d - ((-1)^(1/4)*b*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/d + ((-1)^(1/4)*b*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d","B"
557,1,153,166,4.572789,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x)),x)","\frac{2\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{\sqrt{2}\,a\,\left(\ln\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}-\mathrm{tan}\left(c+d\,x\right)-1\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)+\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+1\right)\right)}{4\,d}+\frac{\sqrt{2}\,a\,\left(\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}-1\right)+\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+1\right)\right)}{2\,d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2*b*tan(c + d*x)^(1/2))/d + (2^(1/2)*a*(log(2^(1/2)*tan(c + d*x)^(1/2) - tan(c + d*x) - 1) - log(tan(c + d*x) + 2^(1/2)*tan(c + d*x)^(1/2) + 1)))/(4*d) + ((-1)^(1/4)*b*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d + ((-1)^(1/4)*b*atanh((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d + (2^(1/2)*a*(atan(2^(1/2)*tan(c + d*x)^(1/2) - 1) + atan(2^(1/2)*tan(c + d*x)^(1/2) + 1)))/(2*d)","B"
558,1,141,150,4.374288,"\text{Not used}","int((a + b*tan(c + d*x))/tan(c + d*x)^(1/2),x)","\frac{\sqrt{2}\,b\,\left(\ln\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}-\mathrm{tan}\left(c+d\,x\right)-1\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)+\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+1\right)\right)}{4\,d}+\frac{\sqrt{2}\,b\,\left(\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}-1\right)+\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+1\right)\right)}{2\,d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2^(1/2)*b*(log(2^(1/2)*tan(c + d*x)^(1/2) - tan(c + d*x) - 1) - log(tan(c + d*x) + 2^(1/2)*tan(c + d*x)^(1/2) + 1)))/(4*d) - ((-1)^(1/4)*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d - ((-1)^(1/4)*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d + (2^(1/2)*b*(atan(2^(1/2)*tan(c + d*x)^(1/2) - 1) + atan(2^(1/2)*tan(c + d*x)^(1/2) + 1)))/(2*d)","B"
559,1,102,166,4.543819,"\text{Not used}","int((a + b*tan(c + d*x))/tan(c + d*x)^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{2\,a}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((-1)^(1/4)*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d - ((-1)^(1/4)*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/d - (2*a)/(d*tan(c + d*x)^(1/2)) - ((-1)^(1/4)*b*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d - ((-1)^(1/4)*b*atanh((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d","B"
560,1,114,184,5.131261,"\text{Not used}","int((a + b*tan(c + d*x))/tan(c + d*x)^(5/2),x)","\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{2\,b}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{2\,a}{3\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((-1)^(1/4)*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d - (2*b)/(d*tan(c + d*x)^(1/2)) - (2*a)/(3*d*tan(c + d*x)^(3/2)) + ((-1)^(1/4)*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d - ((-1)^(1/4)*b*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/d + ((-1)^(1/4)*b*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d","B"
561,1,128,202,5.890343,"\text{Not used}","int((a + b*tan(c + d*x))/tan(c + d*x)^(7/2),x)","\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{\frac{2\,a}{5}-2\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}-\frac{2\,b}{3\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((-1)^(1/4)*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/d - ((2*a)/5 - 2*a*tan(c + d*x)^2)/(d*tan(c + d*x)^(5/2)) - (2*b)/(3*d*tan(c + d*x)^(3/2)) - ((-1)^(1/4)*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d + ((-1)^(1/4)*b*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d + ((-1)^(1/4)*b*atanh((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d","B"
562,1,995,268,6.988022,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2,x)","{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,a^2}{3\,d}-\frac{2\,b^2}{3\,d}\right)+\frac{2\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}-\frac{4\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{4\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\mathrm{atan}\left(\frac{a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,a^6}{d}-\frac{16\,b^6}{d}+\frac{112\,a^2\,b^4}{d}-\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}+\frac{b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,a^6}{d}-\frac{16\,b^6}{d}+\frac{112\,a^2\,b^4}{d}-\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}-\frac{a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,192{}\mathrm{i}}{\frac{16\,a^6}{d}-\frac{16\,b^6}{d}+\frac{112\,a^2\,b^4}{d}-\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,b^6}{d}-\frac{16\,a^6}{d}-\frac{112\,a^2\,b^4}{d}+\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}+\frac{b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,b^6}{d}-\frac{16\,a^6}{d}-\frac{112\,a^2\,b^4}{d}+\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}-\frac{a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,192{}\mathrm{i}}{\frac{16\,b^6}{d}-\frac{16\,a^6}{d}-\frac{112\,a^2\,b^4}{d}+\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"tan(c + d*x)^(3/2)*((2*a^2)/(3*d) - (2*b^2)/(3*d)) - atan((a^4*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*a^6)/d - (16*b^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d + (112*a^2*b^4)/d - (a^3*b^3*192i)/d - (112*a^4*b^2)/d) + (b^4*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*a^6)/d - (16*b^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d + (112*a^2*b^4)/d - (a^3*b^3*192i)/d - (112*a^4*b^2)/d) - (a^2*b^2*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2)*192i)/((16*a^6)/d - (16*b^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d + (112*a^2*b^4)/d - (a^3*b^3*192i)/d - (112*a^4*b^2)/d))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2)*2i + atan((a^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*b^6)/d - (16*a^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d - (112*a^2*b^4)/d - (a^3*b^3*192i)/d + (112*a^4*b^2)/d) + (b^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*b^6)/d - (16*a^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d - (112*a^2*b^4)/d - (a^3*b^3*192i)/d + (112*a^4*b^2)/d) - (a^2*b^2*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*192i)/((16*b^6)/d - (16*a^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d - (112*a^2*b^4)/d - (a^3*b^3*192i)/d + (112*a^4*b^2)/d))*((4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2)*2i + (2*b^2*tan(c + d*x)^(7/2))/(7*d) - (4*a*b*tan(c + d*x)^(1/2))/d + (4*a*b*tan(c + d*x)^(5/2))/(5*d)","B"
563,1,986,249,5.757851,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2,x)","\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,a^2}{d}-\frac{2\,b^2}{d}\right)+\frac{2\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{4\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\mathrm{atan}\left(\frac{a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{a^6\,16{}\mathrm{i}}{d}-\frac{b^6\,16{}\mathrm{i}}{d}+\frac{32\,a\,b^5}{d}+\frac{32\,a^5\,b}{d}+\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}-\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}+\frac{b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{a^6\,16{}\mathrm{i}}{d}-\frac{b^6\,16{}\mathrm{i}}{d}+\frac{32\,a\,b^5}{d}+\frac{32\,a^5\,b}{d}+\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}-\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}-\frac{a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,192{}\mathrm{i}}{\frac{a^6\,16{}\mathrm{i}}{d}-\frac{b^6\,16{}\mathrm{i}}{d}+\frac{32\,a\,b^5}{d}+\frac{32\,a^5\,b}{d}+\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}-\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a\,b^5}{d}+\frac{b^6\,16{}\mathrm{i}}{d}-\frac{a^6\,16{}\mathrm{i}}{d}+\frac{32\,a^5\,b}{d}-\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}+\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}+\frac{b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{32\,a\,b^5}{d}+\frac{b^6\,16{}\mathrm{i}}{d}-\frac{a^6\,16{}\mathrm{i}}{d}+\frac{32\,a^5\,b}{d}-\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}+\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}-\frac{a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,192{}\mathrm{i}}{\frac{32\,a\,b^5}{d}+\frac{b^6\,16{}\mathrm{i}}{d}-\frac{a^6\,16{}\mathrm{i}}{d}+\frac{32\,a^5\,b}{d}-\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}+\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"tan(c + d*x)^(1/2)*((2*a^2)/d - (2*b^2)/d) - atan((a^4*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((a^6*16i)/d - (b^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d + (a^2*b^4*112i)/d - (192*a^3*b^3)/d - (a^4*b^2*112i)/d) + (b^4*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((a^6*16i)/d - (b^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d + (a^2*b^4*112i)/d - (192*a^3*b^3)/d - (a^4*b^2*112i)/d) - (a^2*b^2*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2)*192i)/((a^6*16i)/d - (b^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d + (a^2*b^4*112i)/d - (192*a^3*b^3)/d - (a^4*b^2*112i)/d))*(-(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2)*2i - atan((a^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((b^6*16i)/d - (a^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d - (a^2*b^4*112i)/d - (192*a^3*b^3)/d + (a^4*b^2*112i)/d) + (b^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((b^6*16i)/d - (a^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d - (a^2*b^4*112i)/d - (192*a^3*b^3)/d + (a^4*b^2*112i)/d) - (a^2*b^2*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*192i)/((b^6*16i)/d - (a^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d - (a^2*b^4*112i)/d - (192*a^3*b^3)/d + (a^4*b^2*112i)/d))*((4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2)*2i + (2*b^2*tan(c + d*x)^(5/2))/(5*d) + (4*a*b*tan(c + d*x)^(3/2))/(3*d)","B"
564,1,954,223,4.866332,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2,x)","\frac{2\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{4\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\mathrm{atan}\left(\frac{a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,a^6}{d}-\frac{16\,b^6}{d}+\frac{112\,a^2\,b^4}{d}-\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}+\frac{b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,a^6}{d}-\frac{16\,b^6}{d}+\frac{112\,a^2\,b^4}{d}-\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}-\frac{a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,192{}\mathrm{i}}{\frac{16\,a^6}{d}-\frac{16\,b^6}{d}+\frac{112\,a^2\,b^4}{d}-\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,b^6}{d}-\frac{16\,a^6}{d}-\frac{112\,a^2\,b^4}{d}+\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}+\frac{b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,b^6}{d}-\frac{16\,a^6}{d}-\frac{112\,a^2\,b^4}{d}+\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}-\frac{a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}\,192{}\mathrm{i}}{\frac{16\,b^6}{d}-\frac{16\,a^6}{d}-\frac{112\,a^2\,b^4}{d}+\frac{112\,a^4\,b^2}{d}+\frac{a\,b^5\,32{}\mathrm{i}}{d}+\frac{a^5\,b\,32{}\mathrm{i}}{d}-\frac{a^3\,b^3\,192{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((a^4*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*a^6)/d - (16*b^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d + (112*a^2*b^4)/d - (a^3*b^3*192i)/d - (112*a^4*b^2)/d) + (b^4*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*a^6)/d - (16*b^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d + (112*a^2*b^4)/d - (a^3*b^3*192i)/d - (112*a^4*b^2)/d) - (a^2*b^2*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2)*192i)/((16*a^6)/d - (16*b^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d + (112*a^2*b^4)/d - (a^3*b^3*192i)/d - (112*a^4*b^2)/d))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2)*2i - atan((a^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*b^6)/d - (16*a^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d - (112*a^2*b^4)/d - (a^3*b^3*192i)/d + (112*a^4*b^2)/d) + (b^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*32i)/((16*b^6)/d - (16*a^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d - (112*a^2*b^4)/d - (a^3*b^3*192i)/d + (112*a^4*b^2)/d) - (a^2*b^2*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2)*192i)/((16*b^6)/d - (16*a^6)/d + (a*b^5*32i)/d + (a^5*b*32i)/d - (112*a^2*b^4)/d - (a^3*b^3*192i)/d + (112*a^4*b^2)/d))*((4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2)*2i + (2*b^2*tan(c + d*x)^(3/2))/(3*d) + (4*a*b*tan(c + d*x)^(1/2))/d","B"
565,1,937,204,4.536257,"\text{Not used}","int((a + b*tan(c + d*x))^2/tan(c + d*x)^(1/2),x)","\frac{2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-2\,\mathrm{atanh}\left(\frac{32\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{\frac{32\,a\,b^5}{d}+\frac{b^6\,16{}\mathrm{i}}{d}-\frac{a^6\,16{}\mathrm{i}}{d}+\frac{32\,a^5\,b}{d}-\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}+\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}+\frac{32\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{\frac{32\,a\,b^5}{d}+\frac{b^6\,16{}\mathrm{i}}{d}-\frac{a^6\,16{}\mathrm{i}}{d}+\frac{32\,a^5\,b}{d}-\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}+\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}-\frac{192\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{\frac{32\,a\,b^5}{d}+\frac{b^6\,16{}\mathrm{i}}{d}-\frac{a^6\,16{}\mathrm{i}}{d}+\frac{32\,a^5\,b}{d}-\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}+\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{\frac{a^6\,16{}\mathrm{i}}{d}-\frac{b^6\,16{}\mathrm{i}}{d}+\frac{32\,a\,b^5}{d}+\frac{32\,a^5\,b}{d}+\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}-\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}+\frac{32\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{\frac{a^6\,16{}\mathrm{i}}{d}-\frac{b^6\,16{}\mathrm{i}}{d}+\frac{32\,a\,b^5}{d}+\frac{32\,a^5\,b}{d}+\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}-\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}-\frac{192\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{\frac{a^6\,16{}\mathrm{i}}{d}-\frac{b^6\,16{}\mathrm{i}}{d}+\frac{32\,a\,b^5}{d}+\frac{32\,a^5\,b}{d}+\frac{a^2\,b^4\,112{}\mathrm{i}}{d}-\frac{192\,a^3\,b^3}{d}-\frac{a^4\,b^2\,112{}\mathrm{i}}{d}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}","Not used",1,"(2*b^2*tan(c + d*x)^(1/2))/d - 2*atanh((32*a^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/((b^6*16i)/d - (a^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d - (a^2*b^4*112i)/d - (192*a^3*b^3)/d + (a^4*b^2*112i)/d) + (32*b^4*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/((b^6*16i)/d - (a^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d - (a^2*b^4*112i)/d - (192*a^3*b^3)/d + (a^4*b^2*112i)/d) - (192*a^2*b^2*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/((b^6*16i)/d - (a^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d - (a^2*b^4*112i)/d - (192*a^3*b^3)/d + (a^4*b^2*112i)/d))*((4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2) - 2*atanh((32*a^4*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2))/((a^6*16i)/d - (b^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d + (a^2*b^4*112i)/d - (192*a^3*b^3)/d - (a^4*b^2*112i)/d) + (32*b^4*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2))/((a^6*16i)/d - (b^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d + (a^2*b^4*112i)/d - (192*a^3*b^3)/d - (a^4*b^2*112i)/d) - (192*a^2*b^2*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2))/((a^6*16i)/d - (b^6*16i)/d + (32*a*b^5)/d + (32*a^5*b)/d + (a^2*b^4*112i)/d - (192*a^3*b^3)/d - (a^4*b^2*112i)/d))*(-(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2)","B"
566,1,949,204,4.489066,"\text{Not used}","int((a + b*tan(c + d*x))^2/tan(c + d*x)^(3/2),x)","2\,\mathrm{atanh}\left(\frac{32\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}-112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}+112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}-16\,b^6\,d^2}+\frac{32\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}-112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}+112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}-16\,b^6\,d^2}-\frac{192\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}-112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}+112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}-16\,b^6\,d^2}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}+112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}-112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}+16\,b^6\,d^2}+\frac{32\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}+112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}-112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}+16\,b^6\,d^2}-\frac{192\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}+112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}-112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}+16\,b^6\,d^2}\right)\,\sqrt{\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}-\frac{2\,a^2}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"2*atanh((32*a^4*d^3*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*a^6*d^2 - 16*b^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i + 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i - 112*a^4*b^2*d^2) + (32*b^4*d^3*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*a^6*d^2 - 16*b^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i + 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i - 112*a^4*b^2*d^2) - (192*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*a^6*d^2 - 16*b^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i + 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i - 112*a^4*b^2*d^2))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2) - 2*atanh((32*a^4*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*b^6*d^2 - 16*a^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i - 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i + 112*a^4*b^2*d^2) + (32*b^4*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*b^6*d^2 - 16*a^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i - 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i + 112*a^4*b^2*d^2) - (192*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*b^6*d^2 - 16*a^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i - 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i + 112*a^4*b^2*d^2))*((4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2) - (2*a^2)/(d*tan(c + d*x)^(1/2))","B"
567,1,968,223,5.065255,"\text{Not used}","int((a + b*tan(c + d*x))^2/tan(c + d*x)^(5/2),x)","2\,\mathrm{atanh}\left(\frac{32\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{a^6\,d^2\,16{}\mathrm{i}+32\,a^5\,b\,d^2-a^4\,b^2\,d^2\,112{}\mathrm{i}-192\,a^3\,b^3\,d^2+a^2\,b^4\,d^2\,112{}\mathrm{i}+32\,a\,b^5\,d^2-b^6\,d^2\,16{}\mathrm{i}}+\frac{32\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{a^6\,d^2\,16{}\mathrm{i}+32\,a^5\,b\,d^2-a^4\,b^2\,d^2\,112{}\mathrm{i}-192\,a^3\,b^3\,d^2+a^2\,b^4\,d^2\,112{}\mathrm{i}+32\,a\,b^5\,d^2-b^6\,d^2\,16{}\mathrm{i}}-\frac{192\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a\,b^3}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a^3\,b}{d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{a^6\,d^2\,16{}\mathrm{i}+32\,a^5\,b\,d^2-a^4\,b^2\,d^2\,112{}\mathrm{i}-192\,a^3\,b^3\,d^2+a^2\,b^4\,d^2\,112{}\mathrm{i}+32\,a\,b^5\,d^2-b^6\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-a^6\,d^2\,16{}\mathrm{i}+32\,a^5\,b\,d^2+a^4\,b^2\,d^2\,112{}\mathrm{i}-192\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,112{}\mathrm{i}+32\,a\,b^5\,d^2+b^6\,d^2\,16{}\mathrm{i}}+\frac{32\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-a^6\,d^2\,16{}\mathrm{i}+32\,a^5\,b\,d^2+a^4\,b^2\,d^2\,112{}\mathrm{i}-192\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,112{}\mathrm{i}+32\,a\,b^5\,d^2+b^6\,d^2\,16{}\mathrm{i}}-\frac{192\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a\,b^3}{d^2}-\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-a^6\,d^2\,16{}\mathrm{i}+32\,a^5\,b\,d^2+a^4\,b^2\,d^2\,112{}\mathrm{i}-192\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,112{}\mathrm{i}+32\,a\,b^5\,d^2+b^6\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}-\frac{\frac{2\,a^2}{3}+4\,b\,\mathrm{tan}\left(c+d\,x\right)\,a}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}","Not used",1,"2*atanh((32*a^4*d^3*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2))/(a^6*d^2*16i - b^6*d^2*16i + 32*a*b^5*d^2 + 32*a^5*b*d^2 + a^2*b^4*d^2*112i - 192*a^3*b^3*d^2 - a^4*b^2*d^2*112i) + (32*b^4*d^3*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2))/(a^6*d^2*16i - b^6*d^2*16i + 32*a*b^5*d^2 + 32*a^5*b*d^2 + a^2*b^4*d^2*112i - 192*a^3*b^3*d^2 - a^4*b^2*d^2*112i) - (192*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((a*b^3)/d^2 - (b^4*1i)/(4*d^2) - (a^4*1i)/(4*d^2) - (a^3*b)/d^2 + (a^2*b^2*3i)/(2*d^2))^(1/2))/(a^6*d^2*16i - b^6*d^2*16i + 32*a*b^5*d^2 + 32*a^5*b*d^2 + a^2*b^4*d^2*112i - 192*a^3*b^3*d^2 - a^4*b^2*d^2*112i))*(-(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2) + 2*atanh((32*a^4*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(b^6*d^2*16i - a^6*d^2*16i + 32*a*b^5*d^2 + 32*a^5*b*d^2 - a^2*b^4*d^2*112i - 192*a^3*b^3*d^2 + a^4*b^2*d^2*112i) + (32*b^4*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(b^6*d^2*16i - a^6*d^2*16i + 32*a*b^5*d^2 + 32*a^5*b*d^2 - a^2*b^4*d^2*112i - 192*a^3*b^3*d^2 + a^4*b^2*d^2*112i) - (192*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) + (a*b^3)/d^2 - (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(b^6*d^2*16i - a^6*d^2*16i + 32*a*b^5*d^2 + 32*a^5*b*d^2 - a^2*b^4*d^2*112i - 192*a^3*b^3*d^2 + a^4*b^2*d^2*112i))*((4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2) - ((2*a^2)/3 + 4*a*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2))","B"
568,1,983,249,5.689817,"\text{Not used}","int((a + b*tan(c + d*x))^2/tan(c + d*x)^(7/2),x)","-2\,\mathrm{atanh}\left(\frac{32\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}-112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}+112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}-16\,b^6\,d^2}+\frac{32\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}-112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}+112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}-16\,b^6\,d^2}-\frac{192\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^3\,b}{d^2}-\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}-\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}-112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}+112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}-16\,b^6\,d^2}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}+112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}-112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}+16\,b^6\,d^2}+\frac{32\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}+112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}-112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}+16\,b^6\,d^2}-\frac{192\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^4\,1{}\mathrm{i}}{4\,d^2}+\frac{b^4\,1{}\mathrm{i}}{4\,d^2}-\frac{a\,b^3}{d^2}+\frac{a^3\,b}{d^2}-\frac{a^2\,b^2\,3{}\mathrm{i}}{2\,d^2}}}{-16\,a^6\,d^2+a^5\,b\,d^2\,32{}\mathrm{i}+112\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,192{}\mathrm{i}-112\,a^2\,b^4\,d^2+a\,b^5\,d^2\,32{}\mathrm{i}+16\,b^6\,d^2}\right)\,\sqrt{\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,d^2}}-\frac{\frac{2\,a^2}{5}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,a^2-2\,b^2\right)+\frac{4\,a\,b\,\mathrm{tan}\left(c+d\,x\right)}{3}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}","Not used",1,"2*atanh((32*a^4*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*b^6*d^2 - 16*a^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i - 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i + 112*a^4*b^2*d^2) + (32*b^4*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*b^6*d^2 - 16*a^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i - 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i + 112*a^4*b^2*d^2) - (192*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((a^4*1i)/(4*d^2) + (b^4*1i)/(4*d^2) - (a*b^3)/d^2 + (a^3*b)/d^2 - (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*b^6*d^2 - 16*a^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i - 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i + 112*a^4*b^2*d^2))*((4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2) - 2*atanh((32*a^4*d^3*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*a^6*d^2 - 16*b^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i + 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i - 112*a^4*b^2*d^2) + (32*b^4*d^3*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*a^6*d^2 - 16*b^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i + 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i - 112*a^4*b^2*d^2) - (192*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((a^3*b)/d^2 - (b^4*1i)/(4*d^2) - (a*b^3)/d^2 - (a^4*1i)/(4*d^2) + (a^2*b^2*3i)/(2*d^2))^(1/2))/(16*a^6*d^2 - 16*b^6*d^2 + a*b^5*d^2*32i + a^5*b*d^2*32i + 112*a^2*b^4*d^2 - a^3*b^3*d^2*192i - 112*a^4*b^2*d^2))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*d^2))^(1/2) - ((2*a^2)/5 - tan(c + d*x)^2*(2*a^2 - 2*b^2) + (4*a*b*tan(c + d*x))/3)/(d*tan(c + d*x)^(5/2))","B"
569,1,1796,328,10.116684,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3,x)","{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,a^3}{3\,d}-\frac{2\,a\,b^2}{d}\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,b^3}{d}-\frac{6\,a^2\,b}{d}\right)-{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\left(\frac{2\,b^3}{5\,d}-\frac{6\,a^2\,b}{5\,d}\right)+\frac{2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{9/2}}{9\,d}+\frac{6\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(-a^9+6\,a^5\,b^4+8\,a^3\,b^6+3\,a\,b^8\right)}{d^3}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(-a^9+6\,a^5\,b^4+8\,a^3\,b^6+3\,a\,b^8\right)}{d^3}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"tan(c + d*x)^(3/2)*((2*a^3)/(3*d) - (2*a*b^2)/d) + tan(c + d*x)^(1/2)*((2*b^3)/d - (6*a^2*b)/d) - tan(c + d*x)^(5/2)*((2*b^3)/(5*d) - (6*a^2*b)/(5*d)) + atan((((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/(((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) - (16*(3*a*b^8 - a^9 + 8*a^3*b^6 + 6*a^5*b^4))/d^3 + ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*2i + atan((((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/(((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) - (16*(3*a*b^8 - a^9 + 8*a^3*b^6 + 6*a^5*b^4))/d^3 + ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)))*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*2i + (2*b^3*tan(c + d*x)^(9/2))/(9*d) + (6*a*b^2*tan(c + d*x)^(7/2))/(7*d)","B"
570,1,1729,299,8.239396,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3,x)","\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,a^3}{d}-\frac{6\,a\,b^2}{d}\right)-{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,b^3}{3\,d}-\frac{2\,a^2\,b}{d}\right)+\frac{2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\frac{6\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,a^8\,b+8\,a^6\,b^3+6\,a^4\,b^5-b^9\right)}{d^3}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,a^8\,b+8\,a^6\,b^3+6\,a^4\,b^5-b^9\right)}{d^3}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"tan(c + d*x)^(1/2)*((2*a^3)/d - (6*a*b^2)/d) - tan(c + d*x)^(3/2)*((2*b^3)/(3*d) - (2*a^2*b)/d) - atan((((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/((16*(3*a^8*b - b^9 + 6*a^4*b^5 + 8*a^6*b^3))/d^3 + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)))*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*2i - atan((((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/((16*(3*a^8*b - b^9 + 6*a^4*b^5 + 8*a^6*b^3))/d^3 + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)))*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*2i + (2*b^3*tan(c + d*x)^(7/2))/(7*d) + (6*a*b^2*tan(c + d*x)^(5/2))/(5*d)","B"
571,1,1742,272,6.091453,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3,x)","\frac{2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,b^3}{d}-\frac{6\,a^2\,b}{d}\right)+\frac{2\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{d}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(-a^9+6\,a^5\,b^4+8\,a^3\,b^6+3\,a\,b^8\right)}{d^3}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(-a^9+6\,a^5\,b^4+8\,a^3\,b^6+3\,a\,b^8\right)}{d^3}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,b^3\,d^2-12\,a^2\,b\,d^2\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"(2*b^3*tan(c + d*x)^(5/2))/(5*d) - atan((((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/(((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) - (16*(3*a*b^8 - a^9 + 8*a^3*b^6 + 6*a^5*b^4))/d^3 + ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*2i - atan((((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/(((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) - (16*(3*a*b^8 - a^9 + 8*a^3*b^6 + 6*a^5*b^4))/d^3 + ((8*(4*b^3*d^2 - 12*a^2*b*d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)))*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*2i - tan(c + d*x)^(1/2)*((2*b^3)/d - (6*a^2*b)/d) + (2*a*b^2*tan(c + d*x)^(3/2))/d","B"
572,1,1674,245,4.974513,"\text{Not used}","int((a + b*tan(c + d*x))^3/tan(c + d*x)^(1/2),x)","\frac{2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{6\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,a^8\,b+8\,a^6\,b^3+6\,a^4\,b^5-b^9\right)}{d^3}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,a^8\,b+8\,a^6\,b^3+6\,a^4\,b^5-b^9\right)}{d^3}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}+\left(\frac{8\,\left(4\,a^3\,d^2-12\,a\,b^2\,d^2\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}{d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/((16*(3*a^8*b - b^9 + 6*a^4*b^5 + 8*a^6*b^3))/d^3 + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)))*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*2i + atan((((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i - ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*1i)/((16*(3*a^8*b - b^9 + 6*a^4*b^5 + 8*a^6*b^3))/d^3 + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) + ((8*(4*a^3*d^2 - 12*a*b^2*d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)))*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*2i + (2*b^3*tan(c + d*x)^(3/2))/(3*d) + (6*a*b^2*tan(c + d*x)^(1/2))/d","B"
573,1,1767,245,4.656020,"\text{Not used}","int((a + b*tan(c + d*x))^3/tan(c + d*x)^(3/2),x)","\frac{2\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{2\,a^3}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\mathrm{atan}\left(\frac{a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}-\frac{b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}+\frac{a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,480{}\mathrm{i}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}-\frac{a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,480{}\mathrm{i}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}-\frac{b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,32{}\mathrm{i}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}+\frac{a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,480{}\mathrm{i}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}-\frac{a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}\,480{}\mathrm{i}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"(2*b^3*tan(c + d*x)^(1/2))/d - atan((a^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2)*32i)/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (b^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2)*32i)/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) + (a^2*b^4*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2)*480i)/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (a^4*b^2*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2)*480i)/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2))*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2)*2i - (2*a^3)/(d*tan(c + d*x)^(1/2)) - atan((a^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2)*32i)/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (b^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2)*32i)/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) + (a^2*b^4*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2)*480i)/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (a^4*b^2*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2)*480i)/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2)*2i","B"
574,1,1752,245,5.020021,"\text{Not used}","int((a + b*tan(c + d*x))^3/tan(c + d*x)^(5/2),x)","2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}-\frac{\frac{2\,a^3}{3}+6\,b\,\mathrm{tan}\left(c+d\,x\right)\,a^2}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}","Not used",1,"2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i))*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) - 2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i))*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) - ((2*a^3)/3 + 6*a^2*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2))","B"
575,1,1777,270,6.274511,"\text{Not used}","int((a + b*tan(c + d*x))^3/tan(c + d*x)^(7/2),x)","-2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(6\,a\,b^2-2\,a^3\right)+\frac{2\,a^3}{5}+2\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}","Not used",1,"- 2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) - 2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2))*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) - (tan(c + d*x)^2*(6*a*b^2 - 2*a^3) + (2*a^3)/5 + 2*a^2*b*tan(c + d*x))/(d*tan(c + d*x)^(5/2))","B"
576,1,1795,299,8.398147,"\text{Not used}","int((a + b*tan(c + d*x))^3/tan(c + d*x)^(9/2),x)","-2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,a^3\,b^3}{d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}+48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}-736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}+960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}-288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}+16\,b^9\,d^2}\right)\,\sqrt{-\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{3\,a\,b^5}{2\,d^2}-\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}+\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{a^9\,d^2\,16{}\mathrm{i}-48\,a^8\,b\,d^2-a^7\,b^2\,d^2\,288{}\mathrm{i}+736\,a^6\,b^3\,d^2+a^5\,b^4\,d^2\,960{}\mathrm{i}-960\,a^4\,b^5\,d^2-a^3\,b^6\,d^2\,736{}\mathrm{i}+288\,a^2\,b^7\,d^2+a\,b^8\,d^2\,48{}\mathrm{i}-16\,b^9\,d^2}\right)\,\sqrt{-\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,a\,b^2-\frac{2\,a^3}{3}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(6\,a^2\,b-2\,b^3\right)+\frac{2\,a^3}{7}+\frac{6\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{5}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}","Not used",1,"2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i - 16*b^9*d^2 + a*b^8*d^2*48i - 48*a^8*b*d^2 + 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i - 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i + 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i))*(-(6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) - 2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) - (3*a*b^5)/(2*d^2) - (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) + (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(a^9*d^2*16i + 16*b^9*d^2 + a*b^8*d^2*48i + 48*a^8*b*d^2 - 288*a^2*b^7*d^2 - a^3*b^6*d^2*736i + 960*a^4*b^5*d^2 + a^5*b^4*d^2*960i - 736*a^6*b^3*d^2 - a^7*b^2*d^2*288i))*(-(6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) - (tan(c + d*x)^2*(2*a*b^2 - (2*a^3)/3) - tan(c + d*x)^3*(6*a^2*b - 2*b^3) + (2*a^3)/7 + (6*a^2*b*tan(c + d*x))/5)/(d*tan(c + d*x)^(7/2))","B"
577,1,1821,326,10.097145,"\text{Not used}","int((a + b*tan(c + d*x))^3/tan(c + d*x)^(11/2),x)","2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,a\,b^5}{2\,d^2}+\frac{b^6\,1{}\mathrm{i}}{4\,d^2}-\frac{a^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a^5\,b}{2\,d^2}-\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}+\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2+a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2-a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2+a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2-a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2+b^9\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}-\frac{32\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}+\frac{480\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}-\frac{480\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{a^6\,1{}\mathrm{i}}{4\,d^2}-\frac{b^6\,1{}\mathrm{i}}{4\,d^2}+\frac{3\,a\,b^5}{2\,d^2}+\frac{3\,a^5\,b}{2\,d^2}+\frac{a^2\,b^4\,15{}\mathrm{i}}{4\,d^2}-\frac{5\,a^3\,b^3}{d^2}-\frac{a^4\,b^2\,15{}\mathrm{i}}{4\,d^2}}}{16\,a^9\,d^2-a^8\,b\,d^2\,48{}\mathrm{i}-288\,a^7\,b^2\,d^2+a^6\,b^3\,d^2\,736{}\mathrm{i}+960\,a^5\,b^4\,d^2-a^4\,b^5\,d^2\,960{}\mathrm{i}-736\,a^3\,b^6\,d^2+a^2\,b^7\,d^2\,288{}\mathrm{i}+48\,a\,b^8\,d^2-b^9\,d^2\,16{}\mathrm{i}}\right)\,\sqrt{\frac{a^6\,1{}\mathrm{i}+6\,a^5\,b-a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3+a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5-b^6\,1{}\mathrm{i}}{4\,d^2}}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{6\,a\,b^2}{5}-\frac{2\,a^3}{5}\right)-{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(6\,a\,b^2-2\,a^3\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(2\,a^2\,b-\frac{2\,b^3}{3}\right)+\frac{2\,a^3}{9}+\frac{6\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{7}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{9/2}}","Not used",1,"2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((b^6*1i)/(4*d^2) - (a^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) - (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 + (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 + b^9*d^2*16i + 48*a*b^8*d^2 + a^8*b*d^2*48i - a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 + a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 - a^6*b^3*d^2*736i - 288*a^7*b^2*d^2))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*d^2))^(1/2) + 2*atanh((32*a^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (32*b^6*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) + (480*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2) - (480*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((a^6*1i)/(4*d^2) - (b^6*1i)/(4*d^2) + (3*a*b^5)/(2*d^2) + (3*a^5*b)/(2*d^2) + (a^2*b^4*15i)/(4*d^2) - (5*a^3*b^3)/d^2 - (a^4*b^2*15i)/(4*d^2))^(1/2))/(16*a^9*d^2 - b^9*d^2*16i + 48*a*b^8*d^2 - a^8*b*d^2*48i + a^2*b^7*d^2*288i - 736*a^3*b^6*d^2 - a^4*b^5*d^2*960i + 960*a^5*b^4*d^2 + a^6*b^3*d^2*736i - 288*a^7*b^2*d^2))*((6*a*b^5 + 6*a^5*b + a^6*1i - b^6*1i + a^2*b^4*15i - 20*a^3*b^3 - a^4*b^2*15i)/(4*d^2))^(1/2) - (tan(c + d*x)^2*((6*a*b^2)/5 - (2*a^3)/5) - tan(c + d*x)^4*(6*a*b^2 - 2*a^3) - tan(c + d*x)^3*(2*a^2*b - (2*b^3)/3) + (2*a^3)/9 + (6*a^2*b*tan(c + d*x))/7)/(d*tan(c + d*x)^(9/2))","B"
578,1,141,150,0.002108,"\text{Not used}","int((a + b*tan(c + d*x))/tan(c + d*x)^(1/2),x)","\frac{\sqrt{2}\,b\,\left(\ln\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}-\mathrm{tan}\left(c+d\,x\right)-1\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)+\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+1\right)\right)}{4\,d}+\frac{\sqrt{2}\,b\,\left(\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}-1\right)+\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+1\right)\right)}{2\,d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2^(1/2)*b*(log(2^(1/2)*tan(c + d*x)^(1/2) - tan(c + d*x) - 1) - log(tan(c + d*x) + 2^(1/2)*tan(c + d*x)^(1/2) + 1)))/(4*d) - ((-1)^(1/4)*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d - ((-1)^(1/4)*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2))*1i)/d + (2^(1/2)*b*(atan(2^(1/2)*tan(c + d*x)^(1/2) - 1) + atan(2^(1/2)*tan(c + d*x)^(1/2) + 1)))/(2*d)","B"
579,1,94,162,4.585281,"\text{Not used}","int((a + b*tan(c + d*x))/(-tan(c + d*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{-\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{-\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{-\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{-\mathrm{tan}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((-1)^(1/4)*a*atan((-1)^(1/4)*(-tan(c + d*x))^(1/2))*1i)/d + ((-1)^(1/4)*a*atanh((-1)^(1/4)*(-tan(c + d*x))^(1/2))*1i)/d + ((-1)^(1/4)*b*atan((-1)^(1/4)*(-tan(c + d*x))^(1/2)))/d - ((-1)^(1/4)*b*atanh((-1)^(1/4)*(-tan(c + d*x))^(1/2)))/d","B"
580,1,120,208,4.784028,"\text{Not used}","int((a + b*tan(c + d*x))/(e*tan(c + d*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)}{d\,\sqrt{e}}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)}{d\,\sqrt{e}}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)\,1{}\mathrm{i}}{d\,\sqrt{e}}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)\,1{}\mathrm{i}}{d\,\sqrt{e}}","Not used",1,"((-1)^(1/4)*b*atan(((-1)^(1/4)*(e*tan(c + d*x))^(1/2))/e^(1/2)))/(d*e^(1/2)) - ((-1)^(1/4)*a*atanh(((-1)^(1/4)*(e*tan(c + d*x))^(1/2))/e^(1/2))*1i)/(d*e^(1/2)) - ((-1)^(1/4)*a*atan(((-1)^(1/4)*(e*tan(c + d*x))^(1/2))/e^(1/2))*1i)/(d*e^(1/2)) - ((-1)^(1/4)*b*atanh(((-1)^(1/4)*(e*tan(c + d*x))^(1/2))/e^(1/2)))/(d*e^(1/2))","B"
581,1,122,214,4.714599,"\text{Not used}","int((a + b*tan(c + d*x))/(-e*tan(c + d*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{-e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)}{d\,\sqrt{e}}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{-e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)}{d\,\sqrt{e}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{-e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)\,1{}\mathrm{i}}{d\,\sqrt{e}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{-e\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{e}}\right)\,1{}\mathrm{i}}{d\,\sqrt{e}}","Not used",1,"((-1)^(1/4)*a*atan(((-1)^(1/4)*(-e*tan(c + d*x))^(1/2))/e^(1/2))*1i)/(d*e^(1/2)) + ((-1)^(1/4)*a*atanh(((-1)^(1/4)*(-e*tan(c + d*x))^(1/2))/e^(1/2))*1i)/(d*e^(1/2)) + ((-1)^(1/4)*b*atan(((-1)^(1/4)*(-e*tan(c + d*x))^(1/2))/e^(1/2)))/(d*e^(1/2)) - ((-1)^(1/4)*b*atanh(((-1)^(1/4)*(-e*tan(c + d*x))^(1/2))/e^(1/2)))/(d*e^(1/2))","B"
582,1,4082,300,10.438479,"\text{Not used}","int(tan(c + d*x)^(9/2)/(a + b*tan(c + d*x)),x)","\frac{2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,b\,d}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}-\frac{128\,a\,b\,\left(4\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{64\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{10}+a^4\,b^6+2\,a^2\,b^8-7\,b^{10}\right)}{b^4\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,a^2\,\left(12\,a^8-16\,a^6\,b^2+16\,a^4\,b^4+a^2\,b^6+b^8\right)}{b^4\,d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,a^5\,\left(a^4-a^2\,b^2+b^4\right)}{b^5\,d^5}\right)\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}+\frac{128\,a\,b\,\left(4\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{64\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{10}+a^4\,b^6+2\,a^2\,b^8-7\,b^{10}\right)}{b^4\,d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{32\,a^2\,\left(12\,a^8-16\,a^6\,b^2+16\,a^4\,b^4+a^2\,b^6+b^8\right)}{b^4\,d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,a^5\,\left(a^4-a^2\,b^2+b^4\right)}{b^5\,d^5}\right)\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}+\mathrm{atan}\left(\frac{\left(\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^5\,d^4}\right)+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^5\,d^4}\right)-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^5\,d^4}\right)+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\left(\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^5\,d^4}\right)-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{64\,\left(a^9-a^7\,b^2+a^5\,b^4\right)}{b^5\,d^5}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2}{b\,d}-\frac{2\,a^2}{b^3\,d}\right)-\frac{2\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,b^2\,d}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}+\frac{\left(\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}+\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}+\frac{\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^{12}\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)}{b^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{b^7\,d\,\left(a^2+b^2\right)}+\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}-\frac{\left(\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}-\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}-\frac{\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^{12}\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)}{b^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{b^7\,d\,\left(a^2+b^2\right)}}{\frac{64\,\left(a^9-a^7\,b^2+a^5\,b^4\right)}{b^5\,d^5}+\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}+\frac{\left(\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}+\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}+\frac{\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^{12}\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)}{b^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)}{b^7\,d\,\left(a^2+b^2\right)}-\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^{10}-b^{10}\right)}{b^5\,d^4}-\frac{\left(\frac{32\,\left(12\,a^{10}\,b\,d^2-16\,a^8\,b^3\,d^2+16\,a^6\,b^5\,d^2+a^4\,b^7\,d^2+a^2\,b^9\,d^2\right)}{b^5\,d^5}-\frac{\sqrt{-a^9\,b^7}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^{11}\,b\,d^2+2\,a^5\,b^7\,d^2+4\,a^3\,b^9\,d^2-14\,a\,b^{11}\,d^2\right)}{b^5\,d^4}-\frac{\left(\frac{32\,\left(16\,a^7\,b^6\,d^4+28\,a^5\,b^8\,d^4+8\,a^3\,b^{10}\,d^4-4\,a\,b^{12}\,d^4\right)}{b^5\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(-16\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4+16\,a^2\,b^{12}\,d^4+16\,b^{14}\,d^4\right)}{b^{12}\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)}{b^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^9\,b^7}}{b^7\,d\,\left(a^2+b^2\right)}\right)}{b^7\,d\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a^9\,b^7}\,2{}\mathrm{i}}{b^7\,d\,\left(a^2+b^2\right)}","Not used",1,"(log(((((((((256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^2))^(1/2) - (128*a*b*(4*a^2 - b^2)*(a^2 + b^2)^2)/d)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (64*a*tan(c + d*x)^(1/2)*(8*a^10 - 7*b^10 + 2*a^2*b^8 + a^4*b^6))/(b^4*d^2))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*a^2*(12*a^8 + b^8 + a^2*b^6 + 16*a^4*b^4 - 16*a^6*b^2))/(b^4*d^3))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*a^5*(a^4 + b^4 - a^2*b^2))/(b^5*d^5))*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - tan(c + d*x)^(1/2)*(2/(b*d) - (2*a^2)/(b^3*d)) - log(- ((((((((256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^2))^(1/2) + (128*a*b*(4*a^2 - b^2)*(a^2 + b^2)^2)/d)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (64*a*tan(c + d*x)^(1/2)*(8*a^10 - 7*b^10 + 2*a^2*b^8 + a^4*b^6))/(b^4*d^2))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (32*a^2*(12*a^8 + b^8 + a^2*b^6 + 16*a^4*b^4 - 16*a^6*b^2))/(b^4*d^3))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*a^5*(a^4 + b^4 - a^2*b^2))/(b^5*d^5))*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2) + atan((((((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) - (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^5*d^4)) + (32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i - ((((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) + (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^5*d^4)) - (32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/(((((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) - (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^5*d^4)) + (32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + ((((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) + (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^5*d^4)) - (32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (64*(a^9 + a^5*b^4 - a^7*b^2))/(b^5*d^5)))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i + (2*tan(c + d*x)^(5/2))/(5*b*d) - (2*a*tan(c + d*x)^(3/2))/(3*b^2*d) + (atan((((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4) + (((32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5) + ((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4) + (((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) - (32*tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^12*d^5*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2))))/(b^7*d*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2)))*1i)/(b^7*d*(a^2 + b^2)) + ((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4) - (((32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5) - ((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4) - (((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) + (32*tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^12*d^5*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2))))/(b^7*d*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2)))*1i)/(b^7*d*(a^2 + b^2)))/((64*(a^9 + a^5*b^4 - a^7*b^2))/(b^5*d^5) + ((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4) + (((32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5) + ((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4) + (((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) - (32*tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^12*d^5*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2))))/(b^7*d*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2))))/(b^7*d*(a^2 + b^2)) - ((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^10 - b^10))/(b^5*d^4) - (((32*(12*a^10*b*d^2 + a^2*b^9*d^2 + a^4*b^7*d^2 + 16*a^6*b^5*d^2 - 16*a^8*b^3*d^2))/(b^5*d^5) - ((-a^9*b^7)^(1/2)*((32*tan(c + d*x)^(1/2)*(16*a^11*b*d^2 - 14*a*b^11*d^2 + 4*a^3*b^9*d^2 + 2*a^5*b^7*d^2))/(b^5*d^4) - (((32*(8*a^3*b^10*d^4 - 4*a*b^12*d^4 + 28*a^5*b^8*d^4 + 16*a^7*b^6*d^4))/(b^5*d^5) + (32*tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(16*b^14*d^4 + 16*a^2*b^12*d^4 - 16*a^4*b^10*d^4 - 16*a^6*b^8*d^4))/(b^12*d^5*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2))))/(b^7*d*(a^2 + b^2)))*(-a^9*b^7)^(1/2))/(b^7*d*(a^2 + b^2))))/(b^7*d*(a^2 + b^2))))*(-a^9*b^7)^(1/2)*2i)/(b^7*d*(a^2 + b^2))","B"
583,1,4927,271,6.179494,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x)),x)","\frac{2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,b\,d}-\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)}{2}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}-\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)}{2}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}}{\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)}{2}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)}{2}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{64\,\left(a^6\,b-a^4\,b^3\right)}{b^3\,d^5}}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{64\,\left(a^6\,b-a^4\,b^3\right)}{b^3\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}-\frac{2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}+\frac{\left(\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}-\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}+\frac{\sqrt{-a^7\,b^5}\,\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^8\,d^5\,\left(a^2+b^2\right)}\right)}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}\,1{}\mathrm{i}}{b^5\,d\,\left(a^2+b^2\right)}+\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}-\frac{\left(\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}+\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}-\frac{\sqrt{-a^7\,b^5}\,\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^8\,d^5\,\left(a^2+b^2\right)}\right)}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}\,1{}\mathrm{i}}{b^5\,d\,\left(a^2+b^2\right)}}{\frac{64\,\left(a^6\,b-a^4\,b^3\right)}{b^3\,d^5}+\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}+\frac{\left(\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}-\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}+\frac{\sqrt{-a^7\,b^5}\,\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^8\,d^5\,\left(a^2+b^2\right)}\right)}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}-\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+b^8\right)}{b^3\,d^4}-\frac{\left(\frac{32\,\left(4\,a^9\,d^2-16\,a^7\,b^2\,d^2+16\,a^5\,b^4\,d^2+a^3\,b^6\,d^2+a\,b^8\,d^2\right)}{b^3\,d^5}+\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^9\,b\,d^2-2\,a^5\,b^5\,d^2-4\,a^3\,b^7\,d^2+14\,a\,b^9\,d^2\right)}{b^3\,d^4}-\frac{\sqrt{-a^7\,b^5}\,\left(\frac{32\,\left(12\,a^6\,b^5\,d^4+24\,a^4\,b^7\,d^4+12\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(-16\,a^6\,b^6\,d^4-16\,a^4\,b^8\,d^4+16\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4\right)}{b^8\,d^5\,\left(a^2+b^2\right)}\right)}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^5}}{b^5\,d\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a^7\,b^5}\,2{}\mathrm{i}}{b^5\,d\,\left(a^2+b^2\right)}","Not used",1,"(2*tan(c + d*x)^(3/2))/(3*b*d) - atan((((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) - (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4)))/2 - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5)))/2 - (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i)/2 - ((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) + (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4)))/2 - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5)))/2 + (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i)/2)/(((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) - (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4)))/2 - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5)))/2 - (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + ((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) + (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4)))/2 - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5)))/2 + (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (64*(a^6*b - a^4*b^3))/(b^3*d^5)))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i - atan(((((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i - (((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/((((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (((((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (64*(a^6*b - a^4*b^3))/(b^3*d^5)))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i - (2*a*tan(c + d*x)^(1/2))/(b^2*d) - (atan(((((32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4) + (((32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5) - (((32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4) + ((-a^7*b^5)^(1/2)*((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^8*d^5*(a^2 + b^2))))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2)*1i)/(b^5*d*(a^2 + b^2)) + (((32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4) - (((32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5) + (((32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4) - ((-a^7*b^5)^(1/2)*((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^8*d^5*(a^2 + b^2))))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2)*1i)/(b^5*d*(a^2 + b^2)))/((64*(a^6*b - a^4*b^3))/(b^3*d^5) + (((32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4) + (((32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5) - (((32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4) + ((-a^7*b^5)^(1/2)*((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^8*d^5*(a^2 + b^2))))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)) - (((32*tan(c + d*x)^(1/2)*(2*a^8 + b^8))/(b^3*d^4) - (((32*(4*a^9*d^2 + a*b^8*d^2 + a^3*b^6*d^2 + 16*a^5*b^4*d^2 - 16*a^7*b^2*d^2))/(b^3*d^5) + (((32*tan(c + d*x)^(1/2)*(14*a*b^9*d^2 + 16*a^9*b*d^2 - 4*a^3*b^7*d^2 - 2*a^5*b^5*d^2))/(b^3*d^4) - ((-a^7*b^5)^(1/2)*((32*(12*a^2*b^9*d^4 + 24*a^4*b^7*d^4 + 12*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(16*b^12*d^4 + 16*a^2*b^10*d^4 - 16*a^4*b^8*d^4 - 16*a^6*b^6*d^4))/(b^8*d^5*(a^2 + b^2))))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2)))*(-a^7*b^5)^(1/2))/(b^5*d*(a^2 + b^2))))*(-a^7*b^5)^(1/2)*2i)/(b^5*d*(a^2 + b^2))","B"
584,1,3693,250,7.616307,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\frac{32\,a^3\,\left(a^2-b^2\right)}{b\,d^5}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d}-256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{64\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^6+a^4\,b^2+2\,a^2\,b^4-7\,b^6\right)}{d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,a^2\,\left(12\,a^4-15\,a^2\,b^2+b^4\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}\right)\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\frac{32\,a^3\,\left(a^2-b^2\right)}{b\,d^5}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d}+256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{64\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^6+a^4\,b^2+2\,a^2\,b^4-7\,b^6\right)}{d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,a^2\,\left(12\,a^4-15\,a^2\,b^2+b^4\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}\right)\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}\right)+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}\right)-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}\right)+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}\right)-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{64\,\left(a^5-a^3\,b^2\right)}{b\,d^5}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}+\frac{2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b\,d}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}+\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}+\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}-\frac{\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b^4\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)}{b^3\,d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{b^3\,d\,\left(a^2+b^2\right)}+\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}-\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}-\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}+\frac{\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b^4\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)}{b^3\,d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{b^3\,d\,\left(a^2+b^2\right)}}{\frac{64\,\left(a^5-a^3\,b^2\right)}{b\,d^5}+\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}+\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}+\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}-\frac{\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b^4\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)}{b^3\,d\,\left(a^2+b^2\right)}\right)}{b^3\,d\,\left(a^2+b^2\right)}-\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^6-b^6\right)}{b\,d^4}-\frac{\sqrt{-a^5\,b^3}\,\left(\frac{32\,\left(12\,a^6\,b\,d^2-15\,a^4\,b^3\,d^2+a^2\,b^5\,d^2\right)}{b\,d^5}-\frac{\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,a^7\,b\,d^2+2\,a^5\,b^3\,d^2+4\,a^3\,b^5\,d^2-14\,a\,b^7\,d^2\right)}{b\,d^4}+\frac{\left(\frac{32\,\left(4\,a^5\,b^4\,d^4+8\,a^3\,b^6\,d^4+4\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(-16\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4+16\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}{b^4\,d^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^3}}{b^3\,d\,\left(a^2+b^2\right)}\right)}{b^3\,d\,\left(a^2+b^2\right)}\right)}{b^3\,d\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a^5\,b^3}\,2{}\mathrm{i}}{b^3\,d\,\left(a^2+b^2\right)}","Not used",1,"(log((32*a^3*(a^2 - b^2))/(b*d^5) - (((((((((128*a*b^3*(a^2 + b^2)^2)/d - 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^2))^(1/2))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (64*a*tan(c + d*x)^(1/2)*(8*a^6 - 7*b^6 + 2*a^2*b^4 + a^4*b^2))/d^2)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*a^2*(12*a^4 + b^4 - 15*a^2*b^2))/d^3)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2)*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - log((32*a^3*(a^2 - b^2))/(b*d^5) - (((((((((128*a*b^3*(a^2 + b^2)^2)/d + 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^2))^(1/2))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (64*a*tan(c + d*x)^(1/2)*(8*a^6 - 7*b^6 + 2*a^2*b^4 + a^4*b^2))/d^2)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*a^2*(12*a^4 + b^4 - 15*a^2*b^2))/d^3)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2)*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2) + atan((((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5)) + (32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i - ((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5)) - (32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/(((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5)) + (32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + ((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5)) - (32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (64*(a^5 - a^3*b^2))/(b*d^5)))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i + (2*tan(c + d*x)^(1/2))/(b*d) - (atan((((-a^5*b^3)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4) + ((-a^5*b^3)^(1/2)*((32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5) + (((32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4) - (((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b^4*d^5*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2))))/(b^3*d*(a^2 + b^2)))*1i)/(b^3*d*(a^2 + b^2)) + ((-a^5*b^3)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4) - ((-a^5*b^3)^(1/2)*((32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5) - (((32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4) + (((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b^4*d^5*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2))))/(b^3*d*(a^2 + b^2)))*1i)/(b^3*d*(a^2 + b^2)))/((64*(a^5 - a^3*b^2))/(b*d^5) + ((-a^5*b^3)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4) + ((-a^5*b^3)^(1/2)*((32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5) + (((32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4) - (((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b^4*d^5*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2))))/(b^3*d*(a^2 + b^2))))/(b^3*d*(a^2 + b^2)) - ((-a^5*b^3)^(1/2)*((32*tan(c + d*x)^(1/2)*(2*a^6 - b^6))/(b*d^4) - ((-a^5*b^3)^(1/2)*((32*(12*a^6*b*d^2 + a^2*b^5*d^2 - 15*a^4*b^3*d^2))/(b*d^5) - (((32*tan(c + d*x)^(1/2)*(16*a^7*b*d^2 - 14*a*b^7*d^2 + 4*a^3*b^5*d^2 + 2*a^5*b^3*d^2))/(b*d^4) + (((32*(4*a*b^8*d^4 + 8*a^3*b^6*d^4 + 4*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(16*b^10*d^4 + 16*a^2*b^8*d^4 - 16*a^4*b^6*d^4 - 16*a^6*b^4*d^4))/(b^4*d^5*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2)))*(-a^5*b^3)^(1/2))/(b^3*d*(a^2 + b^2))))/(b^3*d*(a^2 + b^2))))/(b^3*d*(a^2 + b^2))))*(-a^5*b^3)^(1/2)*2i)/(b^3*d*(a^2 + b^2))","B"
585,1,4299,232,5.259298,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x)),x)","-\mathrm{atan}\left(\frac{\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{64\,a^2\,b^2}{d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,1{}\mathrm{i}}{2}-\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,1{}\mathrm{i}}{2}}{\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)}{2}+\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)}{2}+\frac{64\,a^2\,b^2}{d^5}}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^2\,b+d\,b^3\right)}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^2\,b+d\,b^3}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,1{}\mathrm{i}}{d\,a^2\,b+d\,b^3}-\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^2\,b+d\,b^3\right)}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^2\,b+d\,b^3}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)\,1{}\mathrm{i}}{d\,a^2\,b+d\,b^3}}{\frac{64\,a^2\,b^2}{d^5}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^2\,b+d\,b^3\right)}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^2\,b+d\,b^3}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)}{d\,a^2\,b+d\,b^3}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,d^2-15\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{d^5}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\left(\frac{32\,\left(4\,a^6\,b^2\,d^4+8\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^2\,b+d\,b^3\right)}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,a^5\,b^2\,d^2-4\,a^3\,b^4\,d^2+14\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^2\,b+d\,b^3}\right)\,\sqrt{-a^3\,b}}{d\,a^2\,b+d\,b^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^4\,b+b^5\right)}{d^4}\right)}{d\,a^2\,b+d\,b^3}}\right)\,\sqrt{-a^3\,b}\,2{}\mathrm{i}}{d\,a^2\,b+d\,b^3}","Not used",1,"- atan(((((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4) + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i - (((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4) + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/((((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4) + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4) + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (64*a^2*b^2)/d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i - atan((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 - (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 + (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*1i)/2 - ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 + (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 - (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*1i)/2)/(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 - (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 + (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4))/2 + ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 + (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 - (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4))/2 + (64*a^2*b^2)/d^5))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i - (atan((((-a^3*b)^(1/2)*((((32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5 + ((-a^3*b)^(1/2)*((((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(b^3*d + a^2*b*d)))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) + (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4))/(b^3*d + a^2*b*d))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) - (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*1i)/(b^3*d + a^2*b*d) - ((-a^3*b)^(1/2)*((((32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5 + ((-a^3*b)^(1/2)*((((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(b^3*d + a^2*b*d)))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) - (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4))/(b^3*d + a^2*b*d))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) + (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4)*1i)/(b^3*d + a^2*b*d))/((64*a^2*b^2)/d^5 + ((-a^3*b)^(1/2)*((((32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5 + ((-a^3*b)^(1/2)*((((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(b^3*d + a^2*b*d)))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) + (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4))/(b^3*d + a^2*b*d))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) - (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4))/(b^3*d + a^2*b*d) + ((-a^3*b)^(1/2)*((((32*(a*b^5*d^2 + 4*a^5*b*d^2 - 15*a^3*b^3*d^2))/d^5 + ((-a^3*b)^(1/2)*((((32*(4*a^2*b^6*d^4 + 8*a^4*b^4*d^4 + 4*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(b^3*d + a^2*b*d)))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) - (32*tan(c + d*x)^(1/2)*(14*a*b^6*d^2 - 4*a^3*b^4*d^2 + 14*a^5*b^2*d^2))/d^4))/(b^3*d + a^2*b*d))*(-a^3*b)^(1/2))/(b^3*d + a^2*b*d) + (32*tan(c + d*x)^(1/2)*(2*a^4*b + b^5))/d^4))/(b^3*d + a^2*b*d)))*(-a^3*b)^(1/2)*2i)/(b^3*d + a^2*b*d)","B"
586,1,3216,232,6.721718,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x)),x)","\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{64\,a\,b^3}{d^5}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}+\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{384\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d}-256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{64\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4+10\,a^2\,b^2-7\,b^4\right)}{d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{32\,a^2\,b^2\,\left(a^2+13\,b^2\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,a\,b^3}{d^5}\right)\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{384\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d}+256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{64\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4+10\,a^2\,b^2-7\,b^4\right)}{d^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}+\frac{32\,a^2\,b^2\,\left(a^2+13\,b^2\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}}}{2}-\frac{32\,a\,b^3}{d^5}\right)\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}-\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^5\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{d\,\left(a^2+b^2\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}-\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^5\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{d\,\left(a^2+b^2\right)}}{\frac{64\,a\,b^3}{d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}-\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^5\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(b^5-2\,a^2\,b^3\right)}{d^4}+\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(a^4\,b^2\,d^2+13\,a^2\,b^4\,d^2\right)}{d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+20\,a^3\,b^4\,d^2-14\,a\,b^6\,d^2\right)}{d^4}-\frac{\sqrt{-a\,b}\,\left(\frac{32\,\left(12\,a^5\,b^3\,d^4+24\,a^3\,b^5\,d^4+12\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^5\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}\right)}{d\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a\,b}\,2{}\mathrm{i}}{d\,\left(a^2+b^2\right)}","Not used",1,"atan(((((((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i - (((((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/((((((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (((((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (64*a*b^3)/d^5))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i + (log(- (((((((((384*a*b^3*(a^2 + b^2)^2)/d - 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^2))^(1/2))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (64*a*b^2*tan(c + d*x)^(1/2)*(a^4 - 7*b^4 + 10*a^2*b^2))/d^2)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (32*a^2*b^2*(a^2 + 13*b^2))/d^3)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*a*b^3)/d^5)*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - log(- (((((((((384*a*b^3*(a^2 + b^2)^2)/d + 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^2))^(1/2))*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (64*a*b^2*tan(c + d*x)^(1/2)*(a^4 - 7*b^4 + 10*a^2*b^2))/d^2)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 + (32*a^2*b^2*(a^2 + 13*b^2))/d^3)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4)*(1i/(d^2*(a*1i - b)^2))^(1/2))/2 - (32*a*b^3)/d^5)*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2) - (atan((((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4 - ((-a*b)^(1/2)*((32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5 + ((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4 + ((-a*b)^(1/2)*((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^5*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2)))*1i)/(d*(a^2 + b^2)) + ((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4 + ((-a*b)^(1/2)*((32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5 - ((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4 - ((-a*b)^(1/2)*((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^5*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2)))*1i)/(d*(a^2 + b^2)))/((64*a*b^3)/d^5 - ((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4 - ((-a*b)^(1/2)*((32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5 + ((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4 + ((-a*b)^(1/2)*((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^5*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2)) + ((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(b^5 - 2*a^2*b^3))/d^4 + ((-a*b)^(1/2)*((32*(13*a^2*b^4*d^2 + a^4*b^2*d^2))/d^5 - ((-a*b)^(1/2)*((32*tan(c + d*x)^(1/2)*(20*a^3*b^4*d^2 - 14*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4 - ((-a*b)^(1/2)*((32*(12*a*b^7*d^4 + 24*a^3*b^5*d^4 + 12*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^5*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2))))/(d*(a^2 + b^2))))*(-a*b)^(1/2)*2i)/(d*(a^2 + b^2))","B"
587,1,4102,232,5.310050,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))),x)","-\mathrm{atan}\left(\frac{\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)}{2}-\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,1{}\mathrm{i}}{2}-\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)}{2}+\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,1{}\mathrm{i}}{2}}{\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)}{2}-\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{2}+\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4}\right)}{2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}\right)}{2}+\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{2}}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b^3}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}-\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{-a\,b^3}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^3+d\,a\,b^2\right)}\right)}{d\,a^3+d\,a\,b^2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^3+d\,a\,b^2}\right)\,\sqrt{-a\,b^3}}{d\,a^3+d\,a\,b^2}+\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,1{}\mathrm{i}}{d\,a^3+d\,a\,b^2}-\frac{\sqrt{-a\,b^3}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}-\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{-a\,b^3}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^3+d\,a\,b^2\right)}\right)}{d\,a^3+d\,a\,b^2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^3+d\,a\,b^2}\right)\,\sqrt{-a\,b^3}}{d\,a^3+d\,a\,b^2}-\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,1{}\mathrm{i}}{d\,a^3+d\,a\,b^2}}{\frac{\sqrt{-a\,b^3}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}-\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{-a\,b^3}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^3+d\,a\,b^2\right)}\right)}{d\,a^3+d\,a\,b^2}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^3+d\,a\,b^2}\right)\,\sqrt{-a\,b^3}}{d\,a^3+d\,a\,b^2}+\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{d\,a^3+d\,a\,b^2}+\frac{\sqrt{-a\,b^3}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3+5\,a\,b^5\right)}{d^3}-\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{-a\,b^3}\,\left(\frac{32\,\left(-4\,a^6\,b^2\,d^2+8\,a^4\,b^4\,d^2+28\,a^2\,b^6\,d^2+16\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(-16\,a^6\,b^3\,d^4-16\,a^4\,b^5\,d^4+16\,a^2\,b^7\,d^4+16\,b^9\,d^4\right)}{d^4\,\left(d\,a^3+d\,a\,b^2\right)}\right)}{d\,a^3+d\,a\,b^2}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^5\,b^2\,d^2+4\,a^3\,b^4\,d^2-30\,a\,b^6\,d^2\right)}{d^4}\right)}{d\,a^3+d\,a\,b^2}\right)\,\sqrt{-a\,b^3}}{d\,a^3+d\,a\,b^2}-\frac{96\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)}{d\,a^3+d\,a\,b^2}}\right)\,\sqrt{-a\,b^3}\,2{}\mathrm{i}}{d\,a^3+d\,a\,b^2}","Not used",1,"- atan(((((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4) - (32*(5*a*b^5 + a^3*b^3))/d^3)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (96*b^5*tan(c + d*x)^(1/2))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i - (((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4) - (32*(5*a*b^5 + a^3*b^3))/d^3)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (96*b^5*tan(c + d*x)^(1/2))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/((((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4) - (32*(5*a*b^5 + a^3*b^3))/d^3)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (96*b^5*tan(c + d*x)^(1/2))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4) - (32*(5*a*b^5 + a^3*b^3))/d^3)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + (96*b^5*tan(c + d*x)^(1/2))/d^4)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i - atan((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 - (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 - (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*(5*a*b^5 + a^3*b^3))/d^3))/2 - (96*b^5*tan(c + d*x)^(1/2))/d^4)*1i)/2 - ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 + (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 + (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*(5*a*b^5 + a^3*b^3))/d^3))/2 + (96*b^5*tan(c + d*x)^(1/2))/d^4)*1i)/2)/(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 - (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 - (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*(5*a*b^5 + a^3*b^3))/d^3))/2 - (96*b^5*tan(c + d*x)^(1/2))/d^4))/2 + ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 + (16*tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/d^4))/2 + (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - (32*(5*a*b^5 + a^3*b^3))/d^3))/2 + (96*b^5*tan(c + d*x)^(1/2))/d^4))/2))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i - (atan((((-a*b^3)^(1/2)*((((32*(5*a*b^5 + a^3*b^3))/d^3 - ((-a*b^3)^(1/2)*(((-a*b^3)^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(a^3*d + a*b^2*d))))/(a^3*d + a*b^2*d) - (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4))/(a^3*d + a*b^2*d))*(-a*b^3)^(1/2))/(a^3*d + a*b^2*d) + (96*b^5*tan(c + d*x)^(1/2))/d^4)*1i)/(a^3*d + a*b^2*d) - ((-a*b^3)^(1/2)*((((32*(5*a*b^5 + a^3*b^3))/d^3 - ((-a*b^3)^(1/2)*(((-a*b^3)^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(a^3*d + a*b^2*d))))/(a^3*d + a*b^2*d) + (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4))/(a^3*d + a*b^2*d))*(-a*b^3)^(1/2))/(a^3*d + a*b^2*d) - (96*b^5*tan(c + d*x)^(1/2))/d^4)*1i)/(a^3*d + a*b^2*d))/(((-a*b^3)^(1/2)*((((32*(5*a*b^5 + a^3*b^3))/d^3 - ((-a*b^3)^(1/2)*(((-a*b^3)^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(a^3*d + a*b^2*d))))/(a^3*d + a*b^2*d) - (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4))/(a^3*d + a*b^2*d))*(-a*b^3)^(1/2))/(a^3*d + a*b^2*d) + (96*b^5*tan(c + d*x)^(1/2))/d^4))/(a^3*d + a*b^2*d) + ((-a*b^3)^(1/2)*((((32*(5*a*b^5 + a^3*b^3))/d^3 - ((-a*b^3)^(1/2)*(((-a*b^3)^(1/2)*((32*(16*b^8*d^2 + 28*a^2*b^6*d^2 + 8*a^4*b^4*d^2 - 4*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(16*b^9*d^4 + 16*a^2*b^7*d^4 - 16*a^4*b^5*d^4 - 16*a^6*b^3*d^4))/(d^4*(a^3*d + a*b^2*d))))/(a^3*d + a*b^2*d) + (32*tan(c + d*x)^(1/2)*(4*a^3*b^4*d^2 - 30*a*b^6*d^2 + 2*a^5*b^2*d^2))/d^4))/(a^3*d + a*b^2*d))*(-a*b^3)^(1/2))/(a^3*d + a*b^2*d) - (96*b^5*tan(c + d*x)^(1/2))/d^4))/(a^3*d + a*b^2*d)))*(-a*b^3)^(1/2)*2i)/(a^3*d + a*b^2*d)","B"
588,1,3829,250,5.330495,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))),x)","\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)-512\,a^8\,b^9\,d^8-640\,a^{10}\,b^7\,d^8+256\,a^{12}\,b^5\,d^8+384\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+128\,a^7\,b^8\,d^6-32\,a^{11}\,b^4\,d^6-32\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)\right)\,1{}\mathrm{i}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)+512\,a^8\,b^9\,d^8+640\,a^{10}\,b^7\,d^8-256\,a^{12}\,b^5\,d^8-384\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-128\,a^7\,b^8\,d^6+32\,a^{11}\,b^4\,d^6+32\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)\right)\,1{}\mathrm{i}}{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)-512\,a^8\,b^9\,d^8-640\,a^{10}\,b^7\,d^8+256\,a^{12}\,b^5\,d^8+384\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+128\,a^7\,b^8\,d^6-32\,a^{11}\,b^4\,d^6-32\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)+512\,a^8\,b^9\,d^8+640\,a^{10}\,b^7\,d^8-256\,a^{12}\,b^5\,d^8-384\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-128\,a^7\,b^8\,d^6+32\,a^{11}\,b^4\,d^6+32\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)\right)}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}+\frac{\ln\left(\frac{\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\frac{\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)}{2}+512\,a^8\,b^9\,d^8+640\,a^{10}\,b^7\,d^8-256\,a^{12}\,b^5\,d^8-384\,a^{14}\,b^3\,d^8\right)}{2}\right)\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-128\,a^7\,b^8\,d^6+32\,a^{11}\,b^4\,d^6+32\,a^{13}\,b^2\,d^6\right)}{2}+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)\right)\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)-512\,a^8\,b^9\,d^8-640\,a^{10}\,b^7\,d^8+256\,a^{12}\,b^5\,d^8+384\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}+128\,a^7\,b^8\,d^6-32\,a^{11}\,b^4\,d^6-32\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)\right)\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}-\frac{2}{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)+\frac{\sqrt{-a^3\,b^5}\,\left(32\,a^{11}\,b^4\,d^6-128\,a^7\,b^8\,d^6+32\,a^{13}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\frac{\sqrt{-a^3\,b^5}\,\left(512\,a^8\,b^9\,d^8+640\,a^{10}\,b^7\,d^8-256\,a^{12}\,b^5\,d^8-384\,a^{14}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}\,1{}\mathrm{i}}{a^3\,d\,\left(a^2+b^2\right)}+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)+\frac{\sqrt{-a^3\,b^5}\,\left(128\,a^7\,b^8\,d^6-32\,a^{11}\,b^4\,d^6-32\,a^{13}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\frac{\sqrt{-a^3\,b^5}\,\left(256\,a^{12}\,b^5\,d^8-640\,a^{10}\,b^7\,d^8-512\,a^8\,b^9\,d^8+384\,a^{14}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}\,1{}\mathrm{i}}{a^3\,d\,\left(a^2+b^2\right)}}{\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)+\frac{\sqrt{-a^3\,b^5}\,\left(32\,a^{11}\,b^4\,d^6-128\,a^7\,b^8\,d^6+32\,a^{13}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\frac{\sqrt{-a^3\,b^5}\,\left(512\,a^8\,b^9\,d^8+640\,a^{10}\,b^7\,d^8-256\,a^{12}\,b^5\,d^8-384\,a^{14}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}}{a^3\,d\,\left(a^2+b^2\right)}-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^7\,b^7\,d^5-32\,a^9\,b^5\,d^5\right)+\frac{\sqrt{-a^3\,b^5}\,\left(128\,a^7\,b^8\,d^6-32\,a^{11}\,b^4\,d^6-32\,a^{13}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{14}\,b^2\,d^7+128\,a^{12}\,b^4\,d^7-448\,a^{10}\,b^6\,d^7+512\,a^8\,b^8\,d^7\right)-\frac{\sqrt{-a^3\,b^5}\,\left(256\,a^{12}\,b^5\,d^8-640\,a^{10}\,b^7\,d^8-512\,a^8\,b^9\,d^8+384\,a^{14}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(-512\,a^{15}\,b^3\,d^9-512\,a^{13}\,b^5\,d^9+512\,a^{11}\,b^7\,d^9+512\,a^9\,b^9\,d^9\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}}{a^3\,d\,\left(a^2+b^2\right)}\right)}{a^3\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^3\,b^5}}{a^3\,d\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a^3\,b^5}\,2{}\mathrm{i}}{a^3\,d\,\left(a^2+b^2\right)}","Not used",1,"atan(((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9) - 512*a^8*b^9*d^8 - 640*a^10*b^7*d^8 + 256*a^12*b^5*d^8 + 384*a^14*b^3*d^8))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + 128*a^7*b^8*d^6 - 32*a^11*b^4*d^6 - 32*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5))*1i + (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9) + 512*a^8*b^9*d^8 + 640*a^10*b^7*d^8 - 256*a^12*b^5*d^8 - 384*a^14*b^3*d^8))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - 128*a^7*b^8*d^6 + 32*a^11*b^4*d^6 + 32*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5))*1i)/((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9) - 512*a^8*b^9*d^8 - 640*a^10*b^7*d^8 + 256*a^12*b^5*d^8 + 384*a^14*b^3*d^8))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + 128*a^7*b^8*d^6 - 32*a^11*b^4*d^6 - 32*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5)) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9) + 512*a^8*b^9*d^8 + 640*a^10*b^7*d^8 - 256*a^12*b^5*d^8 - 384*a^14*b^3*d^8))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - 128*a^7*b^8*d^6 + 32*a^11*b^4*d^6 + 32*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5))))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i + (log(((-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - ((-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9))/2 + 512*a^8*b^9*d^8 + 640*a^10*b^7*d^8 - 256*a^12*b^5*d^8 - 384*a^14*b^3*d^8))/2)*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - 128*a^7*b^8*d^6 + 32*a^11*b^4*d^6 + 32*a^13*b^2*d^6))/2 + tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5))*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - log((-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2)*((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - (-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9) - 512*a^8*b^9*d^8 - 640*a^10*b^7*d^8 + 256*a^12*b^5*d^8 + 384*a^14*b^3*d^8))*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2) + 128*a^7*b^8*d^6 - 32*a^11*b^4*d^6 - 32*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5))*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2) - 2/(a*d*tan(c + d*x)^(1/2)) - (atan((((tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5) + ((-a^3*b^5)^(1/2)*(32*a^11*b^4*d^6 - 128*a^7*b^8*d^6 + 32*a^13*b^2*d^6 + ((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - ((-a^3*b^5)^(1/2)*(512*a^8*b^9*d^8 + 640*a^10*b^7*d^8 - 256*a^12*b^5*d^8 - 384*a^14*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2)*1i)/(a^3*d*(a^2 + b^2)) + ((tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5) + ((-a^3*b^5)^(1/2)*(128*a^7*b^8*d^6 - 32*a^11*b^4*d^6 - 32*a^13*b^2*d^6 + ((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - ((-a^3*b^5)^(1/2)*(256*a^12*b^5*d^8 - 640*a^10*b^7*d^8 - 512*a^8*b^9*d^8 + 384*a^14*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2)*1i)/(a^3*d*(a^2 + b^2)))/(((tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5) + ((-a^3*b^5)^(1/2)*(32*a^11*b^4*d^6 - 128*a^7*b^8*d^6 + 32*a^13*b^2*d^6 + ((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - ((-a^3*b^5)^(1/2)*(512*a^8*b^9*d^8 + 640*a^10*b^7*d^8 - 256*a^12*b^5*d^8 - 384*a^14*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2))/(a^3*d*(a^2 + b^2)) - ((tan(c + d*x)^(1/2)*(64*a^7*b^7*d^5 - 32*a^9*b^5*d^5) + ((-a^3*b^5)^(1/2)*(128*a^7*b^8*d^6 - 32*a^11*b^4*d^6 - 32*a^13*b^2*d^6 + ((tan(c + d*x)^(1/2)*(512*a^8*b^8*d^7 - 448*a^10*b^6*d^7 + 128*a^12*b^4*d^7 + 64*a^14*b^2*d^7) - ((-a^3*b^5)^(1/2)*(256*a^12*b^5*d^8 - 640*a^10*b^7*d^8 - 512*a^8*b^9*d^8 + 384*a^14*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(512*a^9*b^9*d^9 + 512*a^11*b^7*d^9 - 512*a^13*b^5*d^9 - 512*a^15*b^3*d^9))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2))/(a^3*d*(a^2 + b^2))))/(a^3*d*(a^2 + b^2)))*(-a^3*b^5)^(1/2))/(a^3*d*(a^2 + b^2))))*(-a^3*b^5)^(1/2)*2i)/(a^3*d*(a^2 + b^2))","B"
589,1,4806,271,5.900164,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))),x)","-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)-512\,a^{16}\,b^{10}\,d^8-512\,a^{18}\,b^8\,d^8+384\,a^{20}\,b^6\,d^8+256\,a^{22}\,b^4\,d^8-128\,a^{24}\,b^2\,d^8\right)\right)-384\,a^{15}\,b^9\,d^6+32\,a^{19}\,b^5\,d^6+32\,a^{21}\,b^3\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)+512\,a^{16}\,b^{10}\,d^8+512\,a^{18}\,b^8\,d^8-384\,a^{20}\,b^6\,d^8-256\,a^{22}\,b^4\,d^8+128\,a^{24}\,b^2\,d^8\right)\right)+384\,a^{15}\,b^9\,d^6-32\,a^{19}\,b^5\,d^6-32\,a^{21}\,b^3\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)-512\,a^{16}\,b^{10}\,d^8-512\,a^{18}\,b^8\,d^8+384\,a^{20}\,b^6\,d^8+256\,a^{22}\,b^4\,d^8-128\,a^{24}\,b^2\,d^8\right)\right)-384\,a^{15}\,b^9\,d^6+32\,a^{19}\,b^5\,d^6+32\,a^{21}\,b^3\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)+512\,a^{16}\,b^{10}\,d^8+512\,a^{18}\,b^8\,d^8-384\,a^{20}\,b^6\,d^8-256\,a^{22}\,b^4\,d^8+128\,a^{24}\,b^2\,d^8\right)\right)+384\,a^{15}\,b^9\,d^6-32\,a^{19}\,b^5\,d^6-32\,a^{21}\,b^3\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+64\,a^{14}\,b^8\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)}{2}+\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(256\,a^{16}\,b^{10}\,d^8+256\,a^{18}\,b^8\,d^8-192\,a^{20}\,b^6\,d^8-128\,a^{22}\,b^4\,d^8+64\,a^{24}\,b^2\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{4}\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-192\,a^{15}\,b^9\,d^6+16\,a^{19}\,b^5\,d^6+16\,a^{21}\,b^3\,d^6\right)}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}+\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)}{2}-\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(256\,a^{16}\,b^{10}\,d^8+256\,a^{18}\,b^8\,d^8-192\,a^{20}\,b^6\,d^8-128\,a^{22}\,b^4\,d^8+64\,a^{24}\,b^2\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{4}\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+192\,a^{15}\,b^9\,d^6-16\,a^{19}\,b^5\,d^6-16\,a^{21}\,b^3\,d^6\right)}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)}{2}+\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(256\,a^{16}\,b^{10}\,d^8+256\,a^{18}\,b^8\,d^8-192\,a^{20}\,b^6\,d^8-128\,a^{22}\,b^4\,d^8+64\,a^{24}\,b^2\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{4}\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-192\,a^{15}\,b^9\,d^6+16\,a^{19}\,b^5\,d^6+16\,a^{21}\,b^3\,d^6\right)}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}-\left(\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)}{2}-\frac{\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(256\,a^{16}\,b^{10}\,d^8+256\,a^{18}\,b^8\,d^8-192\,a^{20}\,b^6\,d^8-128\,a^{22}\,b^4\,d^8+64\,a^{24}\,b^2\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{4}\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}+192\,a^{15}\,b^9\,d^6-16\,a^{19}\,b^5\,d^6-16\,a^{21}\,b^3\,d^6\right)}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)}{2}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}+64\,a^{14}\,b^8\,d^4}\right)\,\sqrt{\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\frac{2}{3\,a}-\frac{2\,b\,\mathrm{tan}\left(c+d\,x\right)}{a^2}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a^5\,b^7}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)-\frac{\sqrt{-a^5\,b^7}\,\left(32\,a^{19}\,b^5\,d^6-384\,a^{15}\,b^9\,d^6+32\,a^{21}\,b^3\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)+\frac{\sqrt{-a^5\,b^7}\,\left(512\,a^{16}\,b^{10}\,d^8+512\,a^{18}\,b^8\,d^8-384\,a^{20}\,b^6\,d^8-256\,a^{22}\,b^4\,d^8+128\,a^{24}\,b^2\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^7}}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{a^5\,d\,\left(a^2+b^2\right)}+\frac{\sqrt{-a^5\,b^7}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)-\frac{\sqrt{-a^5\,b^7}\,\left(384\,a^{15}\,b^9\,d^6-32\,a^{19}\,b^5\,d^6-32\,a^{21}\,b^3\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)-\frac{\sqrt{-a^5\,b^7}\,\left(512\,a^{16}\,b^{10}\,d^8+512\,a^{18}\,b^8\,d^8-384\,a^{20}\,b^6\,d^8-256\,a^{22}\,b^4\,d^8+128\,a^{24}\,b^2\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^7}}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{a^5\,d\,\left(a^2+b^2\right)}}{64\,a^{14}\,b^8\,d^4-\frac{\sqrt{-a^5\,b^7}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)-\frac{\sqrt{-a^5\,b^7}\,\left(32\,a^{19}\,b^5\,d^6-384\,a^{15}\,b^9\,d^6+32\,a^{21}\,b^3\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)+\frac{\sqrt{-a^5\,b^7}\,\left(512\,a^{16}\,b^{10}\,d^8+512\,a^{18}\,b^8\,d^8-384\,a^{20}\,b^6\,d^8-256\,a^{22}\,b^4\,d^8+128\,a^{24}\,b^2\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^7}}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}+\frac{\sqrt{-a^5\,b^7}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{18}\,b^5\,d^5+64\,a^{14}\,b^9\,d^5\right)-\frac{\sqrt{-a^5\,b^7}\,\left(384\,a^{15}\,b^9\,d^6-32\,a^{19}\,b^5\,d^6-32\,a^{21}\,b^3\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{23}\,b^2\,d^7-128\,a^{21}\,b^4\,d^7+448\,a^{19}\,b^6\,d^7+512\,a^{15}\,b^{10}\,d^7\right)-\frac{\sqrt{-a^5\,b^7}\,\left(512\,a^{16}\,b^{10}\,d^8+512\,a^{18}\,b^8\,d^8-384\,a^{20}\,b^6\,d^8-256\,a^{22}\,b^4\,d^8+128\,a^{24}\,b^2\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(-512\,a^{24}\,b^3\,d^9-512\,a^{22}\,b^5\,d^9+512\,a^{20}\,b^7\,d^9+512\,a^{18}\,b^9\,d^9\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^5\,b^7}}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}\right)}{a^5\,d\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a^5\,b^7}\,2{}\mathrm{i}}{a^5\,d\,\left(a^2+b^2\right)}","Not used",1,"(atan((((-a^5*b^7)^(1/2)*(tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5) - ((-a^5*b^7)^(1/2)*(32*a^19*b^5*d^6 - 384*a^15*b^9*d^6 + 32*a^21*b^3*d^6 + ((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) + ((-a^5*b^7)^(1/2)*(512*a^16*b^10*d^8 + 512*a^18*b^8*d^8 - 384*a^20*b^6*d^8 - 256*a^22*b^4*d^8 + 128*a^24*b^2*d^8 - (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2)))*(-a^5*b^7)^(1/2))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2)))*1i)/(a^5*d*(a^2 + b^2)) + ((-a^5*b^7)^(1/2)*(tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5) - ((-a^5*b^7)^(1/2)*(384*a^15*b^9*d^6 - 32*a^19*b^5*d^6 - 32*a^21*b^3*d^6 + ((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) - ((-a^5*b^7)^(1/2)*(512*a^16*b^10*d^8 + 512*a^18*b^8*d^8 - 384*a^20*b^6*d^8 - 256*a^22*b^4*d^8 + 128*a^24*b^2*d^8 + (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2)))*(-a^5*b^7)^(1/2))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2)))*1i)/(a^5*d*(a^2 + b^2)))/(64*a^14*b^8*d^4 - ((-a^5*b^7)^(1/2)*(tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5) - ((-a^5*b^7)^(1/2)*(32*a^19*b^5*d^6 - 384*a^15*b^9*d^6 + 32*a^21*b^3*d^6 + ((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) + ((-a^5*b^7)^(1/2)*(512*a^16*b^10*d^8 + 512*a^18*b^8*d^8 - 384*a^20*b^6*d^8 - 256*a^22*b^4*d^8 + 128*a^24*b^2*d^8 - (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2)))*(-a^5*b^7)^(1/2))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2)) + ((-a^5*b^7)^(1/2)*(tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5) - ((-a^5*b^7)^(1/2)*(384*a^15*b^9*d^6 - 32*a^19*b^5*d^6 - 32*a^21*b^3*d^6 + ((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) - ((-a^5*b^7)^(1/2)*(512*a^16*b^10*d^8 + 512*a^18*b^8*d^8 - 384*a^20*b^6*d^8 - 256*a^22*b^4*d^8 + 128*a^24*b^2*d^8 + (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2)))*(-a^5*b^7)^(1/2))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2))))/(a^5*d*(a^2 + b^2))))*(-a^5*b^7)^(1/2)*2i)/(a^5*d*(a^2 + b^2)) - atan(((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7))/2 + ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(256*a^16*b^10*d^8 + 256*a^18*b^8*d^8 - 192*a^20*b^6*d^8 - 128*a^22*b^4*d^8 + 64*a^24*b^2*d^8 - (tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/4))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - 192*a^15*b^9*d^6 + 16*a^19*b^5*d^6 + 16*a^21*b^3*d^6))/2 - (tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i + (((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7))/2 - ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(256*a^16*b^10*d^8 + 256*a^18*b^8*d^8 - 192*a^20*b^6*d^8 - 128*a^22*b^4*d^8 + 64*a^24*b^2*d^8 + (tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/4))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + 192*a^15*b^9*d^6 - 16*a^19*b^5*d^6 - 16*a^21*b^3*d^6))/2 - (tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i)/((((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7))/2 + ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(256*a^16*b^10*d^8 + 256*a^18*b^8*d^8 - 192*a^20*b^6*d^8 - 128*a^22*b^4*d^8 + 64*a^24*b^2*d^8 - (tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/4))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - 192*a^15*b^9*d^6 + 16*a^19*b^5*d^6 + 16*a^21*b^3*d^6))/2 - (tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2) - (((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7))/2 - ((1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(256*a^16*b^10*d^8 + 256*a^18*b^8*d^8 - 192*a^20*b^6*d^8 - 128*a^22*b^4*d^8 + 64*a^24*b^2*d^8 + (tan(c + d*x)^(1/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9))/4))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 + 192*a^15*b^9*d^6 - 16*a^19*b^5*d^6 - 16*a^21*b^3*d^6))/2 - (tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))/2)*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2) + 64*a^14*b^8*d^4))*(1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*1i - (2/(3*a) - (2*b*tan(c + d*x))/a^2)/(d*tan(c + d*x)^(3/2)) - atan((((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) - (1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9) - 512*a^16*b^10*d^8 - 512*a^18*b^8*d^8 + 384*a^20*b^6*d^8 + 256*a^22*b^4*d^8 - 128*a^24*b^2*d^8)) - 384*a^15*b^9*d^6 + 32*a^19*b^5*d^6 + 32*a^21*b^3*d^6) - tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i + ((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) - (1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9) + 512*a^16*b^10*d^8 + 512*a^18*b^8*d^8 - 384*a^20*b^6*d^8 - 256*a^22*b^4*d^8 + 128*a^24*b^2*d^8)) + 384*a^15*b^9*d^6 - 32*a^19*b^5*d^6 - 32*a^21*b^3*d^6) - tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/(((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) - (1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9) - 512*a^16*b^10*d^8 - 512*a^18*b^8*d^8 + 384*a^20*b^6*d^8 + 256*a^22*b^4*d^8 - 128*a^24*b^2*d^8)) - 384*a^15*b^9*d^6 + 32*a^19*b^5*d^6 + 32*a^21*b^3*d^6) - tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - ((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^15*b^10*d^7 + 448*a^19*b^6*d^7 - 128*a^21*b^4*d^7 - 64*a^23*b^2*d^7) - (1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^18*b^9*d^9 + 512*a^20*b^7*d^9 - 512*a^22*b^5*d^9 - 512*a^24*b^3*d^9) + 512*a^16*b^10*d^8 + 512*a^18*b^8*d^8 - 384*a^20*b^6*d^8 - 256*a^22*b^4*d^8 + 128*a^24*b^2*d^8)) + 384*a^15*b^9*d^6 - 32*a^19*b^5*d^6 - 32*a^21*b^3*d^6) - tan(c + d*x)^(1/2)*(64*a^14*b^9*d^5 + 32*a^18*b^5*d^5))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + 64*a^14*b^8*d^4))*(1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i","B"
590,1,4207,300,6.913774,"\text{Not used}","int(1/(tan(c + d*x)^(7/2)*(a + b*tan(c + d*x))),x)","\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(512\,a^{24}\,b^{11}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8\right)\right)-128\,a^{21}\,b^{12}\,d^6+512\,a^{23}\,b^{10}\,d^6+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(512\,a^{23}\,b^{10}\,d^6-128\,a^{21}\,b^{12}\,d^6-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)+512\,a^{24}\,b^{11}\,d^8+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8\right)\right)+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(512\,a^{24}\,b^{11}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8\right)\right)-128\,a^{21}\,b^{12}\,d^6+512\,a^{23}\,b^{10}\,d^6+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(512\,a^{23}\,b^{10}\,d^6-128\,a^{21}\,b^{12}\,d^6-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)+512\,a^{24}\,b^{11}\,d^8+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8\right)\right)+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}+64\,a^{22}\,b^9\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^2\,d^2+a\,b\,d^2\,2{}\mathrm{i}+b^2\,d^2\right)}}\,2{}\mathrm{i}+\frac{\ln\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)-\frac{\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(512\,a^{23}\,b^{10}\,d^6-128\,a^{21}\,b^{12}\,d^6-\frac{\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)-\frac{\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)}{2}+512\,a^{24}\,b^{11}\,d^8+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8\right)}{2}\right)}{2}+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6\right)}{2}\right)\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-32\,a^{22}\,b^9\,d^4\right)\,\sqrt{-\frac{1}{-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)+\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)+\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}\,\left(512\,a^{24}\,b^{11}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8\right)\right)-128\,a^{21}\,b^{12}\,d^6+512\,a^{23}\,b^{10}\,d^6+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}-32\,a^{22}\,b^9\,d^4\right)\,\sqrt{-\frac{1}{4\,\left(-a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,d^2+b^2\,d^2\,1{}\mathrm{i}\right)}}+\frac{\frac{2\,{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^2-b^2\right)}{a^3}-\frac{2}{5\,a}+\frac{2\,b\,\mathrm{tan}\left(c+d\,x\right)}{3\,a^2}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)+\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{23}\,b^{10}\,d^6-128\,a^{21}\,b^{12}\,d^6+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)+\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{24}\,b^{11}\,d^8+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}\,1{}\mathrm{i}}{a^7\,d\,\left(a^2+b^2\right)}+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)-\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{23}\,b^{10}\,d^6-128\,a^{21}\,b^{12}\,d^6+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)-\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{24}\,b^{11}\,d^8+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}\,1{}\mathrm{i}}{a^7\,d\,\left(a^2+b^2\right)}}{64\,a^{22}\,b^9\,d^4+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)+\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{23}\,b^{10}\,d^6-128\,a^{21}\,b^{12}\,d^6+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)+\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{24}\,b^{11}\,d^8+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}}{a^7\,d\,\left(a^2+b^2\right)}-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{21}\,b^{11}\,d^5-32\,a^{27}\,b^5\,d^5\right)-\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{23}\,b^{10}\,d^6-128\,a^{21}\,b^{12}\,d^6+32\,a^{29}\,b^4\,d^6+32\,a^{31}\,b^2\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{32}\,b^2\,d^7+128\,a^{30}\,b^4\,d^7-448\,a^{28}\,b^6\,d^7+512\,a^{22}\,b^{12}\,d^7\right)-\frac{\sqrt{-a^7\,b^9}\,\left(512\,a^{24}\,b^{11}\,d^8+512\,a^{26}\,b^9\,d^8-128\,a^{28}\,b^7\,d^8+256\,a^{30}\,b^5\,d^8+384\,a^{32}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(-512\,a^{33}\,b^3\,d^9-512\,a^{31}\,b^5\,d^9+512\,a^{29}\,b^7\,d^9+512\,a^{27}\,b^9\,d^9\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}}{a^7\,d\,\left(a^2+b^2\right)}\right)}{a^7\,d\,\left(a^2+b^2\right)}\right)\,\sqrt{-a^7\,b^9}}{a^7\,d\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a^7\,b^9}\,2{}\mathrm{i}}{a^7\,d\,\left(a^2+b^2\right)}","Not used",1,"atan(((tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) + (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) + (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^24*b^11*d^8 - tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9) + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8)) - 128*a^21*b^12*d^6 + 512*a^23*b^10*d^6 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^23*b^10*d^6 - 128*a^21*b^12*d^6 - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9) + 512*a^24*b^11*d^8 + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8)) + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) + (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*((-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) + (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^24*b^11*d^8 - tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9) + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8)) - 128*a^21*b^12*d^6 + 512*a^23*b^10*d^6 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) - (tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^23*b^10*d^6 - 128*a^21*b^12*d^6 - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) - (-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(tan(c + d*x)^(1/2)*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9) + 512*a^24*b^11*d^8 + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8)) + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2) + 64*a^22*b^9*d^4))*(-1i/(4*(b^2*d^2 - a^2*d^2 + a*b*d^2*2i)))^(1/2)*2i + (log(((tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) - ((-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(512*a^23*b^10*d^6 - 128*a^21*b^12*d^6 - ((-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) - ((-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/2 + 512*a^24*b^11*d^8 + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8))/2))/2 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6))/2)*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - 32*a^22*b^9*d^4)*(-1/(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2))^(1/2))/2 - log(- (tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) + (-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2)*((-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) + (-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2)*(512*a^24*b^11*d^8 - tan(c + d*x)^(1/2)*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9) + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8)) - 128*a^21*b^12*d^6 + 512*a^23*b^10*d^6 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6))*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2) - 32*a^22*b^9*d^4)*(-1/(4*(b^2*d^2*1i - a^2*d^2*1i + 2*a*b*d^2)))^(1/2) + ((2*tan(c + d*x)^2*(a^2 - b^2))/a^3 - 2/(5*a) + (2*b*tan(c + d*x))/(3*a^2))/(d*tan(c + d*x)^(5/2)) + (atan((((tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) + ((-a^7*b^9)^(1/2)*(512*a^23*b^10*d^6 - 128*a^21*b^12*d^6 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6 + ((tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) + ((-a^7*b^9)^(1/2)*(512*a^24*b^11*d^8 + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8 - (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2)*1i)/(a^7*d*(a^2 + b^2)) + ((tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) - ((-a^7*b^9)^(1/2)*(512*a^23*b^10*d^6 - 128*a^21*b^12*d^6 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6 - ((tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) - ((-a^7*b^9)^(1/2)*(512*a^24*b^11*d^8 + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2)*1i)/(a^7*d*(a^2 + b^2)))/(64*a^22*b^9*d^4 + ((tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) + ((-a^7*b^9)^(1/2)*(512*a^23*b^10*d^6 - 128*a^21*b^12*d^6 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6 + ((tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) + ((-a^7*b^9)^(1/2)*(512*a^24*b^11*d^8 + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8 - (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2))/(a^7*d*(a^2 + b^2)) - ((tan(c + d*x)^(1/2)*(64*a^21*b^11*d^5 - 32*a^27*b^5*d^5) - ((-a^7*b^9)^(1/2)*(512*a^23*b^10*d^6 - 128*a^21*b^12*d^6 + 32*a^29*b^4*d^6 + 32*a^31*b^2*d^6 - ((tan(c + d*x)^(1/2)*(512*a^22*b^12*d^7 - 448*a^28*b^6*d^7 + 128*a^30*b^4*d^7 + 64*a^32*b^2*d^7) - ((-a^7*b^9)^(1/2)*(512*a^24*b^11*d^8 + 512*a^26*b^9*d^8 - 128*a^28*b^7*d^8 + 256*a^30*b^5*d^8 + 384*a^32*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(512*a^27*b^9*d^9 + 512*a^29*b^7*d^9 - 512*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2))/(a^7*d*(a^2 + b^2))))/(a^7*d*(a^2 + b^2)))*(-a^7*b^9)^(1/2))/(a^7*d*(a^2 + b^2))))*(-a^7*b^9)^(1/2)*2i)/(a^7*d*(a^2 + b^2))","B"
591,1,12117,399,9.318032,"\text{Not used}","int(tan(c + d*x)^(9/2)/(a + b*tan(c + d*x))^2,x)","\frac{2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,b^2\,d}-\frac{4\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}-\frac{a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(d\,\mathrm{tan}\left(c+d\,x\right)\,b^4+a\,d\,b^3\right)\,\left(a^2+b^2\right)}-\mathrm{atan}\left(\frac{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,1{}\mathrm{i}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)-\frac{16\,\left(25\,a^{12}+90\,a^{10}\,b^2+81\,a^8\,b^4-10\,a^6\,b^6-18\,a^4\,b^8\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)}{2}-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}-\frac{\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)}{2}-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}}{-\frac{16\,\left(25\,a^{12}+90\,a^{10}\,b^2+81\,a^8\,b^4-10\,a^6\,b^6-18\,a^4\,b^8\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)}{2}-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)}{2}-\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}\right)}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}+\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}+\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}-\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}-\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}}{\frac{16\,\left(25\,a^{12}+90\,a^{10}\,b^2+81\,a^8\,b^4-10\,a^6\,b^6-18\,a^4\,b^8\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}+\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}+\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-25\,a^{14}-65\,a^{12}\,b^2+9\,a^{10}\,b^4+81\,a^8\,b^6+2\,a^4\,b^{10}+4\,a^2\,b^{12}+2\,b^{14}\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}-\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(400\,a^{15}\,b\,d^2+1040\,a^{13}\,b^3\,d^2-144\,a^{11}\,b^5\,d^2-1612\,a^9\,b^7\,d^2-240\,a^7\,b^9\,d^2+600\,a^5\,b^{11}\,d^2+16\,a^3\,b^{13}\,d^2+4\,a\,b^{15}\,d^2\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(200\,a^{17}\,b\,d^2+1120\,a^{15}\,b^3\,d^2+2288\,a^{13}\,b^5\,d^2+2020\,a^{11}\,b^7\,d^2+660\,a^9\,b^9\,d^2-56\,a^7\,b^{11}\,d^2-72\,a^5\,b^{13}\,d^2+52\,a^3\,b^{15}\,d^2+60\,a\,b^{17}\,d^2\right)}{a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4}-\frac{\left(5\,a^2+9\,b^2\right)\,\left(\frac{8\,\left(160\,a^{14}\,b^6\,d^4+864\,a^{12}\,b^8\,d^4+1920\,a^{10}\,b^{10}\,d^4+2240\,a^8\,b^{12}\,d^4+1440\,a^6\,b^{14}\,d^4+480\,a^4\,b^{16}\,d^4+64\,a^2\,b^{18}\,d^4\right)}{a^8\,b^5\,d^5+4\,a^6\,b^7\,d^5+6\,a^4\,b^9\,d^5+4\,a^2\,b^{11}\,d^5+b^{13}\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,\left(-32\,a^{14}\,b^8\,d^4-160\,a^{12}\,b^{10}\,d^4-288\,a^{10}\,b^{12}\,d^4-160\,a^8\,b^{14}\,d^4+160\,a^6\,b^{16}\,d^4+288\,a^4\,b^{18}\,d^4+160\,a^2\,b^{20}\,d^4+32\,b^{22}\,d^4\right)}{\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^8\,b^5\,d^4+4\,a^6\,b^7\,d^4+6\,a^4\,b^9\,d^4+4\,a^2\,b^{11}\,d^4+b^{13}\,d^4\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}}{2\,\left(d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}\right)}}\right)\,\left(5\,a^2+9\,b^2\right)\,\sqrt{-a^7\,b^7}\,1{}\mathrm{i}}{d\,a^4\,b^7+2\,d\,a^2\,b^9+d\,b^{11}}","Not used",1,"(2*tan(c + d*x)^(3/2))/(3*b^2*d) - atan((((((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))/2 - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5)))/2 - (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i)/2 - ((((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))/2 - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5)))/2 + (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i)/2)/(((((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))/2 - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5)))/2 - (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*(25*a^12 - 18*a^4*b^8 - 10*a^6*b^6 + 81*a^8*b^4 + 90*a^10*b^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + ((((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))/2 - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5)))/2 + (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i - atan(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) + (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) - (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*1i - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) - (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) + (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4))*1i)/((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) + (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) - (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) - (16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) - (8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) + (16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)) - (16*(25*a^12 - 18*a^4*b^8 - 10*a^6*b^6 + 81*a^8*b^4 + 90*a^10*b^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5)))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i - (4*a*tan(c + d*x)^(1/2))/(b^3*d) - (atan(((((16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) + ((5*a^2 + 9*b^2)*((8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - ((5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*((16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) + ((5*a^2 + 9*b^2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - (8*tan(c + d*x)^(1/2)*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/((b^11*d + 2*a^2*b^9*d + a^4*b^7*d)*(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d))))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*1i)/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)) + (((16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) - ((5*a^2 + 9*b^2)*((8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + ((5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*((16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) - ((5*a^2 + 9*b^2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + (8*tan(c + d*x)^(1/2)*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/((b^11*d + 2*a^2*b^9*d + a^4*b^7*d)*(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d))))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*1i)/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))/((16*(25*a^12 - 18*a^4*b^8 - 10*a^6*b^6 + 81*a^8*b^4 + 90*a^10*b^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + (((16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) + ((5*a^2 + 9*b^2)*((8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - ((5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*((16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) + ((5*a^2 + 9*b^2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) - (8*tan(c + d*x)^(1/2)*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/((b^11*d + 2*a^2*b^9*d + a^4*b^7*d)*(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d))))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)) - (((16*tan(c + d*x)^(1/2)*(2*b^14 - 25*a^14 + 4*a^2*b^12 + 2*a^4*b^10 + 81*a^8*b^6 + 9*a^10*b^4 - 65*a^12*b^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) - ((5*a^2 + 9*b^2)*((8*(4*a*b^15*d^2 + 400*a^15*b*d^2 + 16*a^3*b^13*d^2 + 600*a^5*b^11*d^2 - 240*a^7*b^9*d^2 - 1612*a^9*b^7*d^2 - 144*a^11*b^5*d^2 + 1040*a^13*b^3*d^2))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + ((5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*((16*tan(c + d*x)^(1/2)*(60*a*b^17*d^2 + 200*a^17*b*d^2 + 52*a^3*b^15*d^2 - 72*a^5*b^13*d^2 - 56*a^7*b^11*d^2 + 660*a^9*b^9*d^2 + 2020*a^11*b^7*d^2 + 2288*a^13*b^5*d^2 + 1120*a^15*b^3*d^2))/(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4) - ((5*a^2 + 9*b^2)*((8*(64*a^2*b^18*d^4 + 480*a^4*b^16*d^4 + 1440*a^6*b^14*d^4 + 2240*a^8*b^12*d^4 + 1920*a^10*b^10*d^4 + 864*a^12*b^8*d^4 + 160*a^14*b^6*d^4))/(b^13*d^5 + 4*a^2*b^11*d^5 + 6*a^4*b^9*d^5 + 4*a^6*b^7*d^5 + a^8*b^5*d^5) + (8*tan(c + d*x)^(1/2)*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*(32*b^22*d^4 + 160*a^2*b^20*d^4 + 288*a^4*b^18*d^4 + 160*a^6*b^16*d^4 - 160*a^8*b^14*d^4 - 288*a^10*b^12*d^4 - 160*a^12*b^10*d^4 - 32*a^14*b^8*d^4))/((b^11*d + 2*a^2*b^9*d + a^4*b^7*d)*(b^13*d^4 + 4*a^2*b^11*d^4 + 6*a^4*b^9*d^4 + 4*a^6*b^7*d^4 + a^8*b^5*d^4)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d))))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d)))*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2))/(2*(b^11*d + 2*a^2*b^9*d + a^4*b^7*d))))*(5*a^2 + 9*b^2)*(-a^7*b^7)^(1/2)*1i)/(b^11*d + 2*a^2*b^9*d + a^4*b^7*d) - (a^4*tan(c + d*x)^(1/2))/((a*b^3*d + b^4*d*tan(c + d*x))*(a^2 + b^2))","B"
592,1,8642,358,12.623447,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,a\,b^2\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}-256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{64\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a^{10}+84\,a^8\,b^2+97\,a^6\,b^4-a^4\,b^6+17\,a^2\,b^8-15\,b^{10}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{32\,a^4\,\left(-9\,a^8+21\,a^6\,b^2+173\,a^4\,b^4+127\,a^2\,b^6-112\,b^8\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{b^3\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{16\,a^3\,b^2\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,a\,b^2\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}+256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{64\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a^{10}+84\,a^8\,b^2+97\,a^6\,b^4-a^4\,b^6+17\,a^2\,b^8-15\,b^{10}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{32\,a^4\,\left(-9\,a^8+21\,a^6\,b^2+173\,a^4\,b^4+127\,a^2\,b^6-112\,b^8\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{b^3\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{16\,a^3\,b^2\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}+\frac{2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}+\frac{a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(d\,\mathrm{tan}\left(c+d\,x\right)\,b^3+a\,d\,b^2\right)\,\left(a^2+b^2\right)}+\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)\,1{}\mathrm{i}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}\right)-\frac{32\,\left(3\,a^5\,b^5+7\,a^3\,b^7\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}+\frac{\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\frac{\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}+\frac{\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}-\frac{\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}+\frac{\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}-\frac{\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}}{\frac{32\,\left(3\,a^5\,b^5+7\,a^3\,b^7\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}+\frac{\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\frac{\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}+\frac{\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+33\,a^{10}\,b^2+7\,a^8\,b^4-49\,a^6\,b^6+2\,a^4\,b^8+4\,a^2\,b^{10}+2\,b^{12}\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}-\frac{\left(\frac{16\,\left(-18\,a^{14}\,d^2+24\,a^{12}\,b^2\,d^2+388\,a^{10}\,b^4\,d^2+600\,a^8\,b^6\,d^2+30\,a^6\,b^8\,d^2-224\,a^4\,b^{10}\,d^2\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}+\frac{\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{15}\,b\,d^2+480\,a^{13}\,b^3\,d^2+1132\,a^{11}\,b^5\,d^2+1108\,a^9\,b^7\,d^2+448\,a^7\,b^9\,d^2+72\,a^5\,b^{11}\,d^2-52\,a^3\,b^{13}\,d^2-60\,a\,b^{15}\,d^2\right)}{a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4}-\frac{\left(\frac{16\,\left(56\,a^{13}\,b^5\,d^4+288\,a^{11}\,b^7\,d^4+600\,a^9\,b^9\,d^4+640\,a^7\,b^{11}\,d^4+360\,a^5\,b^{13}\,d^4+96\,a^3\,b^{15}\,d^4+8\,a\,b^{17}\,d^4\right)}{a^8\,b^3\,d^5+4\,a^6\,b^5\,d^5+6\,a^4\,b^7\,d^5+4\,a^2\,b^9\,d^5+b^{11}\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-32\,a^{14}\,b^6\,d^4-160\,a^{12}\,b^8\,d^4-288\,a^{10}\,b^{10}\,d^4-160\,a^8\,b^{12}\,d^4+160\,a^6\,b^{14}\,d^4+288\,a^4\,b^{16}\,d^4+160\,a^2\,b^{18}\,d^4+32\,b^{20}\,d^4\right)}{\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^8\,b^3\,d^4+4\,a^6\,b^5\,d^4+6\,a^4\,b^7\,d^4+4\,a^2\,b^9\,d^4+b^{11}\,d^4\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9\right)}}\right)\,\left(3\,a^2+7\,b^2\right)\,\sqrt{-a^5\,b^5}\,1{}\mathrm{i}}{d\,a^4\,b^5+2\,d\,a^2\,b^7+d\,b^9}","Not used",1,"atan(((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)) + (16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4))) + (16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4))*1i - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) + (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)) - (16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4))) - (16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4))*1i)/((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)) + (16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4))) + (16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)) + (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) + (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)) - (16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4))) - (16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)) - (32*(7*a^3*b^7 + 3*a^5*b^5))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5)))*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i + (log(- (((((((((128*a*b^2*(7*a^4 + b^4 + 8*a^2*b^2))/d - 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^4))^(1/2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (64*a*tan(c + d*x)^(1/2)*(18*a^10 - 15*b^10 + 17*a^2*b^8 - a^4*b^6 + 97*a^6*b^4 + 84*a^8*b^2))/(b^2*d^2*(a^2 + b^2)^2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (32*a^4*(127*a^2*b^6 - 112*b^8 - 9*a^8 + 173*a^4*b^4 + 21*a^6*b^2))/(b^3*d^3*(a^2 + b^2)^3))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^3*d^4*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (16*a^3*b^2*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - log(- (((((((((128*a*b^2*(7*a^4 + b^4 + 8*a^2*b^2))/d + 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^4))^(1/2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (64*a*tan(c + d*x)^(1/2)*(18*a^10 - 15*b^10 + 17*a^2*b^8 - a^4*b^6 + 97*a^6*b^4 + 84*a^8*b^2))/(b^2*d^2*(a^2 + b^2)^2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (32*a^4*(127*a^2*b^6 - 112*b^8 - 9*a^8 + 173*a^4*b^4 + 21*a^6*b^2))/(b^3*d^3*(a^2 + b^2)^3))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^3*d^4*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (16*a^3*b^2*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2) + (2*tan(c + d*x)^(1/2))/(b^2*d) - (atan(((((16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) + (((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - ((3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*((16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) + (((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (8*tan(c + d*x)^(1/2)*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/((b^9*d + 2*a^2*b^7*d + a^4*b^5*d)*(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d))))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*1i)/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)) + (((16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) - (((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) + ((3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*((16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) - (((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) + (8*tan(c + d*x)^(1/2)*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/((b^9*d + 2*a^2*b^7*d + a^4*b^5*d)*(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d))))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*1i)/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))/((32*(7*a^3*b^7 + 3*a^5*b^5))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (((16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) + (((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - ((3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*((16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) + (((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) - (8*tan(c + d*x)^(1/2)*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/((b^9*d + 2*a^2*b^7*d + a^4*b^5*d)*(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d))))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)) + (((16*tan(c + d*x)^(1/2)*(9*a^12 + 2*b^12 + 4*a^2*b^10 + 2*a^4*b^8 - 49*a^6*b^6 + 7*a^8*b^4 + 33*a^10*b^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) - (((16*(30*a^6*b^8*d^2 - 224*a^4*b^10*d^2 - 18*a^14*d^2 + 600*a^8*b^6*d^2 + 388*a^10*b^4*d^2 + 24*a^12*b^2*d^2))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) + ((3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*((16*tan(c + d*x)^(1/2)*(72*a^15*b*d^2 - 60*a*b^15*d^2 - 52*a^3*b^13*d^2 + 72*a^5*b^11*d^2 + 448*a^7*b^9*d^2 + 1108*a^9*b^7*d^2 + 1132*a^11*b^5*d^2 + 480*a^13*b^3*d^2))/(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4) - (((16*(8*a*b^17*d^4 + 96*a^3*b^15*d^4 + 360*a^5*b^13*d^4 + 640*a^7*b^11*d^4 + 600*a^9*b^9*d^4 + 288*a^11*b^7*d^4 + 56*a^13*b^5*d^4))/(b^11*d^5 + 4*a^2*b^9*d^5 + 6*a^4*b^7*d^5 + 4*a^6*b^5*d^5 + a^8*b^3*d^5) + (8*tan(c + d*x)^(1/2)*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*(32*b^20*d^4 + 160*a^2*b^18*d^4 + 288*a^4*b^16*d^4 + 160*a^6*b^14*d^4 - 160*a^8*b^12*d^4 - 288*a^10*b^10*d^4 - 160*a^12*b^8*d^4 - 32*a^14*b^6*d^4))/((b^9*d + 2*a^2*b^7*d + a^4*b^5*d)*(b^11*d^4 + 4*a^2*b^9*d^4 + 6*a^4*b^7*d^4 + 4*a^6*b^5*d^4 + a^8*b^3*d^4)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d))))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d)))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2))/(2*(b^9*d + 2*a^2*b^7*d + a^4*b^5*d))))*(3*a^2 + 7*b^2)*(-a^5*b^5)^(1/2)*1i)/(b^9*d + 2*a^2*b^7*d + a^4*b^5*d) + (a^3*tan(c + d*x)^(1/2))/((a*b^2*d + b^3*d*tan(c + d*x))*(a^2 + b^2))","B"
593,1,11104,318,6.761881,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^2,x)","-\frac{a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b\,\left(a\,d+b\,d\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2+b^2\right)}-\mathrm{atan}\left(\frac{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,1{}\mathrm{i}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)+\frac{16\,\left(a^8+10\,a^6\,b^2+27\,a^4\,b^4+10\,a^2\,b^6\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,1{}\mathrm{i}}{2}-\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,1{}\mathrm{i}}{2}}{\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)}{2}+\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\left(\frac{\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}\right)}{2}+\frac{16\,\left(a^8+10\,a^6\,b^2+27\,a^4\,b^4+10\,a^2\,b^6\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\left(a^2+5\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}+\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}+\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)\,\left(a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\sqrt{-a^3\,b^3}\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}+\frac{\left(a^2+5\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}-\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}-\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)\,\left(a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\sqrt{-a^3\,b^3}\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}}{\frac{16\,\left(a^8+10\,a^6\,b^2+27\,a^4\,b^4+10\,a^2\,b^6\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{\left(a^2+5\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}+\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}+\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)\,\left(a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}-\frac{\left(a^2+5\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+9\,a^8\,b^2+15\,a^6\,b^4-27\,a^4\,b^6-4\,a^2\,b^8-2\,b^{10}\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}-\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(16\,a^{11}\,b\,d^2+148\,a^9\,b^3\,d^2+320\,a^7\,b^5\,d^2-120\,a^5\,b^7\,d^2-304\,a^3\,b^9\,d^2+4\,a\,b^{11}\,d^2\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{13}\,b\,d^2+100\,a^{11}\,b^3\,d^2+380\,a^9\,b^5\,d^2+424\,a^7\,b^7\,d^2+128\,a^5\,b^9\,d^2+52\,a^3\,b^{11}\,d^2+60\,a\,b^{13}\,d^2\right)}{a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4}-\frac{\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{8\,\left(96\,a^{12}\,b^4\,d^4+480\,a^{10}\,b^6\,d^4+960\,a^8\,b^8\,d^4+960\,a^6\,b^{10}\,d^4+480\,a^4\,b^{12}\,d^4+96\,a^2\,b^{14}\,d^4\right)}{a^8\,b\,d^5+4\,a^6\,b^3\,d^5+6\,a^4\,b^5\,d^5+4\,a^2\,b^7\,d^5+b^9\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{14}\,b^4\,d^4-160\,a^{12}\,b^6\,d^4-288\,a^{10}\,b^8\,d^4-160\,a^8\,b^{10}\,d^4+160\,a^6\,b^{12}\,d^4+288\,a^4\,b^{14}\,d^4+160\,a^2\,b^{16}\,d^4+32\,b^{18}\,d^4\right)}{\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)\,\left(a^8\,b\,d^4+4\,a^6\,b^3\,d^4+6\,a^4\,b^5\,d^4+4\,a^2\,b^7\,d^4+b^9\,d^4\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7\right)}}\right)\,\left(a^2+5\,b^2\right)\,\sqrt{-a^3\,b^3}\,1{}\mathrm{i}}{d\,a^4\,b^3+2\,d\,a^2\,b^5+d\,b^7}","Not used",1,"- atan(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) + (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)) + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5)) + (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*1i - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) - (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)) + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5)) - (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*1i)/((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) + (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)) + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5)) + (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2) - (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)) + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5)) - (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)) + (16*(a^8 + 10*a^2*b^6 + 27*a^4*b^4 + 10*a^6*b^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5)))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i - atan((((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((((((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*1i)/2 - ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((((((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*1i)/2)/(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((((((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)))/2 + ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((((((((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4)))/2 + (16*(a^8 + 10*a^2*b^6 + 27*a^4*b^4 + 10*a^6*b^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5)))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i - (atan((((a^2 + 5*b^2)*((16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) + ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (((16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) + ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (8*tan(c + d*x)^(1/2)*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/((b^7*d + 2*a^2*b^5*d + a^4*b^3*d)*(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(-a^3*b^3)^(1/2)*1i)/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)) + ((a^2 + 5*b^2)*((16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) - ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (((16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) - ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (8*tan(c + d*x)^(1/2)*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/((b^7*d + 2*a^2*b^5*d + a^4*b^3*d)*(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(-a^3*b^3)^(1/2)*1i)/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))/((16*(a^8 + 10*a^2*b^6 + 27*a^4*b^4 + 10*a^6*b^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + ((a^2 + 5*b^2)*((16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) + ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (((16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) + ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (8*tan(c + d*x)^(1/2)*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/((b^7*d + 2*a^2*b^5*d + a^4*b^3*d)*(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(-a^3*b^3)^(1/2))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)) - ((a^2 + 5*b^2)*((16*tan(c + d*x)^(1/2)*(a^10 - 2*b^10 - 4*a^2*b^8 - 27*a^4*b^6 + 15*a^6*b^4 + 9*a^8*b^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) - ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(4*a*b^11*d^2 + 16*a^11*b*d^2 - 304*a^3*b^9*d^2 - 120*a^5*b^7*d^2 + 320*a^7*b^5*d^2 + 148*a^9*b^3*d^2))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) - (((16*tan(c + d*x)^(1/2)*(60*a*b^13*d^2 + 8*a^13*b*d^2 + 52*a^3*b^11*d^2 + 128*a^5*b^9*d^2 + 424*a^7*b^7*d^2 + 380*a^9*b^5*d^2 + 100*a^11*b^3*d^2))/(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4) - ((a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*((8*(96*a^2*b^14*d^4 + 480*a^4*b^12*d^4 + 960*a^6*b^10*d^4 + 960*a^8*b^8*d^4 + 480*a^10*b^6*d^4 + 96*a^12*b^4*d^4))/(b^9*d^5 + a^8*b*d^5 + 4*a^2*b^7*d^5 + 6*a^4*b^5*d^5 + 4*a^6*b^3*d^5) + (8*tan(c + d*x)^(1/2)*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*(32*b^18*d^4 + 160*a^2*b^16*d^4 + 288*a^4*b^14*d^4 + 160*a^6*b^12*d^4 - 160*a^8*b^10*d^4 - 288*a^10*b^8*d^4 - 160*a^12*b^6*d^4 - 32*a^14*b^4*d^4))/((b^7*d + 2*a^2*b^5*d + a^4*b^3*d)*(b^9*d^4 + a^8*b*d^4 + 4*a^2*b^7*d^4 + 6*a^4*b^5*d^4 + 4*a^6*b^3*d^4))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d))))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d)))*(-a^3*b^3)^(1/2))/(2*(b^7*d + 2*a^2*b^5*d + a^4*b^3*d))))*(a^2 + 5*b^2)*(-a^3*b^3)^(1/2)*1i)/(b^7*d + 2*a^2*b^5*d + a^4*b^3*d) - (a^2*tan(c + d*x)^(1/2))/(b*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
594,1,7761,312,11.565652,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^2,x)","\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,1{}\mathrm{i}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)-\frac{32\,\left(3\,a\,b^6-a^3\,b^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}+\frac{\ln\left(\frac{16\,a\,b^4\,\left(a^2-3\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}-256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{64\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-13\,a^4\,b^2+35\,a^2\,b^4-15\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{32\,a^2\,b\,\left(a^6-13\,a^4\,b^2+43\,a^2\,b^4-39\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{16\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-7\,a^6\,b^2+17\,a^4\,b^4-5\,a^2\,b^6+2\,b^8\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}\right)\,\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\frac{16\,a\,b^4\,\left(a^2-3\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}+256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{64\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6-13\,a^4\,b^2+35\,a^2\,b^4-15\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{32\,a^2\,b\,\left(a^6-13\,a^4\,b^2+43\,a^2\,b^4-39\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{16\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-7\,a^6\,b^2+17\,a^4\,b^4-5\,a^2\,b^6+2\,b^8\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}\right)\,\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}+\frac{a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(a\,d+b\,d\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2+b^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}+\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,1{}\mathrm{i}}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}}{\frac{32\,\left(3\,a\,b^6-a^3\,b^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}+\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8\,b-7\,a^6\,b^3+17\,a^4\,b^5-5\,a^2\,b^7+2\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\left(\frac{16\,\left(2\,a^{10}\,b\,d^2-24\,a^8\,b^3\,d^2+60\,a^6\,b^5\,d^2+8\,a^4\,b^7\,d^2-78\,a^2\,b^9\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2-44\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2+168\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2-60\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(\frac{16\,\left(-8\,a^{13}\,b^2\,d^4+120\,a^9\,b^6\,d^4+320\,a^7\,b^8\,d^4+360\,a^5\,b^{10}\,d^4+192\,a^3\,b^{12}\,d^4+40\,a\,b^{14}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}\right)}{2\,\left(d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5\right)}}\right)\,\sqrt{-a\,b}\,\left(a^2-3\,b^2\right)\,1{}\mathrm{i}}{d\,a^4\,b+2\,d\,a^2\,b^3+d\,b^5}","Not used",1,"atan(((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) + (16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) + (16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*1i - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) - (16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) - (16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*1i)/((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) + (16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) + (16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) + (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) - (16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) - (16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) - (32*(3*a*b^6 - a^3*b^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5)))*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i + (log((16*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d - 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^4))^(1/2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (64*a*b^2*tan(c + d*x)^(1/2)*(a^6 - 15*b^6 + 35*a^2*b^4 - 13*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (32*a^2*b*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (16*b*tan(c + d*x)^(1/2)*(a^8 + 2*b^8 - 5*a^2*b^6 + 17*a^4*b^4 - 7*a^6*b^2))/(d^4*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2)*(-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - log((16*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d + 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^4))^(1/2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (64*a*b^2*tan(c + d*x)^(1/2)*(a^6 - 15*b^6 + 35*a^2*b^4 - 13*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (32*a^2*b*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (16*b*tan(c + d*x)^(1/2)*(a^8 + 2*b^8 - 5*a^2*b^6 + 17*a^4*b^4 - 7*a^6*b^2))/(d^4*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2)*(-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2) + (a*tan(c + d*x)^(1/2))/((a*d + b*d*tan(c + d*x))*(a^2 + b^2)) - (atan((((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + (((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (((16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + ((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(a^2 - 3*b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((b^5*d + 2*a^2*b^3*d + a^4*b*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*1i)/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)) + ((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - (((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (((16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - ((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(a^2 - 3*b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((b^5*d + 2*a^2*b^3*d + a^4*b*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*1i)/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))/((32*(3*a*b^6 - a^3*b^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - ((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + (((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (((16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + ((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(a^2 - 3*b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((b^5*d + 2*a^2*b^3*d + a^4*b*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d))))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)) + ((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*tan(c + d*x)^(1/2)*(a^8*b + 2*b^9 - 5*a^2*b^7 + 17*a^4*b^5 - 7*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - (((16*(2*a^10*b*d^2 - 78*a^2*b^9*d^2 + 8*a^4*b^7*d^2 + 60*a^6*b^5*d^2 - 24*a^8*b^3*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (((16*tan(c + d*x)^(1/2)*(20*a^3*b^10*d^2 - 60*a*b^12*d^2 + 168*a^5*b^8*d^2 + 40*a^7*b^6*d^2 - 44*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - ((-a*b)^(1/2)*(a^2 - 3*b^2)*((16*(40*a*b^14*d^4 + 192*a^3*b^12*d^4 + 360*a^5*b^10*d^4 + 320*a^7*b^8*d^4 + 120*a^9*b^6*d^4 - 8*a^13*b^2*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(a^2 - 3*b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((b^5*d + 2*a^2*b^3*d + a^4*b*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d)))*(-a*b)^(1/2)*(a^2 - 3*b^2))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d))))/(2*(b^5*d + 2*a^2*b^3*d + a^4*b*d))))*(-a*b)^(1/2)*(a^2 - 3*b^2)*1i)/(b^5*d + 2*a^2*b^3*d + a^4*b*d)","B"
595,1,10520,316,6.795068,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x))^2,x)","-\frac{b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(a\,d+b\,d\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2+b^2\right)}+\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\left(\frac{\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}-\frac{\left(\frac{\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\left(\frac{\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2}}{\frac{\left(\frac{\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\left(\frac{\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\left(\frac{\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\left(\frac{\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\frac{16\,\left(b^7-9\,a^4\,b^3\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,1{}\mathrm{i}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}\right)-\frac{16\,\left(b^7-9\,a^4\,b^3\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\sqrt{-a\,b}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)\,\left(3\,a^2-b^2\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}+\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)\,\left(3\,a^2-b^2\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}}{\frac{16\,\left(b^7-9\,a^4\,b^3\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{\sqrt{-a\,b}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)\,\left(3\,a^2-b^2\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}-\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,a^6\,b^3+17\,a^4\,b^5-3\,a^2\,b^7+3\,b^9\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}+\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(4\,a^9\,b^2\,d^2+160\,a^7\,b^4\,d^2-24\,a^5\,b^6\,d^2-128\,a^3\,b^8\,d^2+52\,a\,b^{10}\,d^2\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,a^{11}\,b^2\,d^2+84\,a^9\,b^4\,d^2+40\,a^7\,b^6\,d^2-88\,a^5\,b^8\,d^2+20\,a^3\,b^{10}\,d^2+68\,a\,b^{12}\,d^2\right)}{a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4}-\frac{\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(\frac{8\,\left(64\,a^{12}\,b^3\,d^4+288\,a^{10}\,b^5\,d^4+480\,a^8\,b^7\,d^4+320\,a^6\,b^9\,d^4-96\,a^2\,b^{13}\,d^4-32\,b^{15}\,d^4\right)}{a^8\,d^5+4\,a^6\,b^2\,d^5+6\,a^4\,b^4\,d^5+4\,a^2\,b^6\,d^5+b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,\left(-32\,a^{14}\,b^3\,d^4-160\,a^{12}\,b^5\,d^4-288\,a^{10}\,b^7\,d^4-160\,a^8\,b^9\,d^4+160\,a^6\,b^{11}\,d^4+288\,a^4\,b^{13}\,d^4+160\,a^2\,b^{15}\,d^4+32\,b^{17}\,d^4\right)}{\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)\,\left(a^8\,d^4+4\,a^6\,b^2\,d^4+6\,a^4\,b^4\,d^4+4\,a^2\,b^6\,d^4+b^8\,d^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)\,\left(3\,a^2-b^2\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}\right)}{2\,\left(d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4\right)}}\right)\,\sqrt{-a\,b}\,\left(3\,a^2-b^2\right)\,1{}\mathrm{i}}{d\,a^5+2\,d\,a^3\,b^2+d\,a\,b^4}","Not used",1,"atan(((((((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (((((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i)/2 - (((((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (((((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i)/2)/((((((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (((((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (((((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (((((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - (16*(b^7 - 9*a^4*b^3))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5)))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i + atan(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) + (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) - (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*1i - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) - (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) + (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))*1i)/((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) + (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) - (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (16*tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) - (16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))) + (16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4)) - (16*(b^7 - 9*a^4*b^3))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5)))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i + (atan((((-a*b)^(1/2)*(3*a^2 - b^2)*((16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + ((-a*b)^(1/2)*((16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^2 - b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((a^5*d + 2*a^3*b^2*d + a*b^4*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)))*(3*a^2 - b^2))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)))*1i)/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)) + ((-a*b)^(1/2)*(3*a^2 - b^2)*((16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - ((-a*b)^(1/2)*((16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^2 - b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((a^5*d + 2*a^3*b^2*d + a*b^4*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)))*(3*a^2 - b^2))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)))*1i)/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)))/((16*(b^7 - 9*a^4*b^3))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + ((-a*b)^(1/2)*(3*a^2 - b^2)*((16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + ((-a*b)^(1/2)*((16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^2 - b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((a^5*d + 2*a^3*b^2*d + a*b^4*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)))*(3*a^2 - b^2))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)) - ((-a*b)^(1/2)*(3*a^2 - b^2)*((16*tan(c + d*x)^(1/2)*(3*b^9 - 3*a^2*b^7 + 17*a^4*b^5 - 9*a^6*b^3))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) + ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(52*a*b^10*d^2 - 128*a^3*b^8*d^2 - 24*a^5*b^6*d^2 + 160*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) - ((-a*b)^(1/2)*((16*tan(c + d*x)^(1/2)*(68*a*b^12*d^2 + 20*a^3*b^10*d^2 - 88*a^5*b^8*d^2 + 40*a^7*b^6*d^2 + 84*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4) - ((-a*b)^(1/2)*(3*a^2 - b^2)*((8*(320*a^6*b^9*d^4 - 96*a^2*b^13*d^4 - 32*b^15*d^4 + 480*a^8*b^7*d^4 + 288*a^10*b^5*d^4 + 64*a^12*b^3*d^4))/(a^8*d^5 + b^8*d^5 + 4*a^2*b^6*d^5 + 6*a^4*b^4*d^5 + 4*a^6*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^2 - b^2)*(32*b^17*d^4 + 160*a^2*b^15*d^4 + 288*a^4*b^13*d^4 + 160*a^6*b^11*d^4 - 160*a^8*b^9*d^4 - 288*a^10*b^7*d^4 - 160*a^12*b^5*d^4 - 32*a^14*b^3*d^4))/((a^5*d + 2*a^3*b^2*d + a*b^4*d)*(a^8*d^4 + b^8*d^4 + 4*a^2*b^6*d^4 + 6*a^4*b^4*d^4 + 4*a^6*b^2*d^4))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d)))*(3*a^2 - b^2))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d))))/(2*(a^5*d + 2*a^3*b^2*d + a*b^4*d))))*(-a*b)^(1/2)*(3*a^2 - b^2)*1i)/(a^5*d + 2*a^3*b^2*d + a*b^4*d) - (b*tan(c + d*x)^(1/2))/((a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
596,1,8282,317,11.259719,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2),x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}+256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{64\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^8-a^6\,b^2+67\,a^4\,b^4+5\,a^2\,b^6+2\,b^8\right)}{a\,d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{32\,b^5\,\left(25\,a^6-85\,a^4\,b^2-13\,a^2\,b^4+b^6\right)}{a^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{16\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6+11\,a^4\,b^2+7\,a^2\,b^4+b^6\right)}{a^2\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{16\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}-256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{64\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^8-a^6\,b^2+67\,a^4\,b^4+5\,a^2\,b^6+2\,b^8\right)}{a\,d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{32\,b^5\,\left(25\,a^6-85\,a^4\,b^2-13\,a^2\,b^4+b^6\right)}{a^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}-\frac{16\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6+11\,a^4\,b^2+7\,a^2\,b^4+b^6\right)}{a^2\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}}}{2}+\frac{16\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}+\frac{b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a\,\left(a\,d+b\,d\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2+b^2\right)}-\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)+\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)\,1{}\mathrm{i}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)+\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)\,1{}\mathrm{i}}{\frac{32\,\left(5\,a^3\,b^6+a\,b^8\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)+\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}\right)+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)+\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}\right)-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}\right)}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}+\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}+\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)\,\left(a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}+\frac{\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}-\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}-\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}-\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)\,\left(a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}}{\frac{32\,\left(5\,a^3\,b^6+a\,b^8\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\frac{\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}+\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}+\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}-\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)\,\left(a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}-\frac{\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,a^6\,b^5+11\,a^4\,b^7+7\,a^2\,b^9+b^{11}\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}-\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-50\,a^8\,b^5\,d^2+120\,a^6\,b^7\,d^2+196\,a^4\,b^9\,d^2+24\,a^2\,b^{11}\,d^2-2\,b^{13}\,d^2\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}-\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^2-12\,a^{11}\,b^4\,d^2+256\,a^9\,b^6\,d^2+552\,a^7\,b^8\,d^2+316\,a^5\,b^{10}\,d^2+36\,a^3\,b^{12}\,d^2+8\,a\,b^{14}\,d^2\right)}{a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4}-\frac{\left(5\,a^2+b^2\right)\,\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^4+16\,a^{13}\,b^4\,d^4+216\,a^{11}\,b^6\,d^4+560\,a^9\,b^8\,d^4+680\,a^7\,b^{10}\,d^4+432\,a^5\,b^{12}\,d^4+136\,a^3\,b^{14}\,d^4+16\,a\,b^{16}\,d^4\right)}{a^{10}\,d^5+4\,a^8\,b^2\,d^5+6\,a^6\,b^4\,d^5+4\,a^4\,b^6\,d^5+a^2\,b^8\,d^5}+\frac{8\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,\left(-32\,a^{16}\,b^3\,d^4-160\,a^{14}\,b^5\,d^4-288\,a^{12}\,b^7\,d^4-160\,a^{10}\,b^9\,d^4+160\,a^8\,b^{11}\,d^4+288\,a^6\,b^{13}\,d^4+160\,a^4\,b^{15}\,d^4+32\,a^2\,b^{17}\,d^4\right)}{\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)\,\left(a^{10}\,d^4+4\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4+4\,a^4\,b^6\,d^4+a^2\,b^8\,d^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b^3}}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}\right)}{2\,\left(d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4\right)}}\right)\,\left(5\,a^2+b^2\right)\,\sqrt{-a^3\,b^3}\,1{}\mathrm{i}}{d\,a^7+2\,d\,a^5\,b^2+d\,a^3\,b^4}","Not used",1,"(log((((((((((128*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d) + 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^4))^(1/2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (64*b^2*tan(c + d*x)^(1/2)*(2*b^8 - a^8 + 5*a^2*b^6 + 67*a^4*b^4 - a^6*b^2))/(a*d^2*(a^2 + b^2)^2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (32*b^5*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(a^2*d^3*(a^2 + b^2)^3))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (16*b^5*tan(c + d*x)^(1/2)*(b^6 - 27*a^6 + 7*a^2*b^4 + 11*a^4*b^2))/(a^2*d^4*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (16*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - atan(((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) - (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) + (16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) + (16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5)) + (16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4))*1i - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) - (16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) + (16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5)) - (16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4))*1i)/((32*(a*b^8 + 5*a^3*b^6))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) - (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) + (16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) + (16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5)) + (16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) + (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + (16*tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) - (16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)) + (16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5)) - (16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4))))*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i - log((((((((((128*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d) - 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^4))^(1/2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (64*b^2*tan(c + d*x)^(1/2)*(2*b^8 - a^8 + 5*a^2*b^6 + 67*a^4*b^4 - a^6*b^2))/(a*d^2*(a^2 + b^2)^2))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (32*b^5*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(a^2*d^3*(a^2 + b^2)^3))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 - (16*b^5*tan(c + d*x)^(1/2)*(b^6 - 27*a^6 + 7*a^2*b^4 + 11*a^4*b^2))/(a^2*d^4*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^4))^(1/2))/2 + (16*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2) - (atan((((5*a^2 + b^2)*(-a^3*b^3)^(1/2)*((16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) + ((5*a^2 + b^2)*((16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + ((5*a^2 + b^2)*((16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) + ((5*a^2 + b^2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(5*a^2 + b^2)*(-a^3*b^3)^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/((a^7*d + a^3*b^4*d + 2*a^5*b^2*d)*(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*1i)/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)) + ((5*a^2 + b^2)*(-a^3*b^3)^(1/2)*((16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) - ((5*a^2 + b^2)*((16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) - ((5*a^2 + b^2)*((16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) - ((5*a^2 + b^2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(5*a^2 + b^2)*(-a^3*b^3)^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/((a^7*d + a^3*b^4*d + 2*a^5*b^2*d)*(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*1i)/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))/((32*(a*b^8 + 5*a^3*b^6))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + ((5*a^2 + b^2)*(-a^3*b^3)^(1/2)*((16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) + ((5*a^2 + b^2)*((16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + ((5*a^2 + b^2)*((16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) + ((5*a^2 + b^2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) - (8*tan(c + d*x)^(1/2)*(5*a^2 + b^2)*(-a^3*b^3)^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/((a^7*d + a^3*b^4*d + 2*a^5*b^2*d)*(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d))))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)) - ((5*a^2 + b^2)*(-a^3*b^3)^(1/2)*((16*tan(c + d*x)^(1/2)*(b^11 + 7*a^2*b^9 + 11*a^4*b^7 - 27*a^6*b^5))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) - ((5*a^2 + b^2)*((16*(24*a^2*b^11*d^2 - 2*b^13*d^2 + 196*a^4*b^9*d^2 + 120*a^6*b^7*d^2 - 50*a^8*b^5*d^2))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) - ((5*a^2 + b^2)*((16*tan(c + d*x)^(1/2)*(8*a*b^14*d^2 + 36*a^3*b^12*d^2 + 316*a^5*b^10*d^2 + 552*a^7*b^8*d^2 + 256*a^9*b^6*d^2 - 12*a^11*b^4*d^2 - 4*a^13*b^2*d^2))/(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4) - ((5*a^2 + b^2)*((16*(16*a*b^16*d^4 + 136*a^3*b^14*d^4 + 432*a^5*b^12*d^4 + 680*a^7*b^10*d^4 + 560*a^9*b^8*d^4 + 216*a^11*b^6*d^4 + 16*a^13*b^4*d^4 - 8*a^15*b^2*d^4))/(a^10*d^5 + a^2*b^8*d^5 + 4*a^4*b^6*d^5 + 6*a^6*b^4*d^5 + 4*a^8*b^2*d^5) + (8*tan(c + d*x)^(1/2)*(5*a^2 + b^2)*(-a^3*b^3)^(1/2)*(32*a^2*b^17*d^4 + 160*a^4*b^15*d^4 + 288*a^6*b^13*d^4 + 160*a^8*b^11*d^4 - 160*a^10*b^9*d^4 - 288*a^12*b^7*d^4 - 160*a^14*b^5*d^4 - 32*a^16*b^3*d^4))/((a^7*d + a^3*b^4*d + 2*a^5*b^2*d)*(a^10*d^4 + a^2*b^8*d^4 + 4*a^4*b^6*d^4 + 6*a^6*b^4*d^4 + 4*a^8*b^2*d^4)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d)))*(-a^3*b^3)^(1/2))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d))))/(2*(a^7*d + a^3*b^4*d + 2*a^5*b^2*d))))*(5*a^2 + b^2)*(-a^3*b^3)^(1/2)*1i)/(a^7*d + a^3*b^4*d + 2*a^5*b^2*d) + (b^2*tan(c + d*x)^(1/2))/(a*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
597,1,12063,358,7.759819,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2),x)","\mathrm{atan}\left(\frac{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(26496\,a^{25}\,b^{14}\,d^6-1152\,a^{15}\,b^{24}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)\right)+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6\right)\right)\,1{}\mathrm{i}+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(26496\,a^{25}\,b^{14}\,d^6-1152\,a^{15}\,b^{24}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)\right)+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6\right)\right)\,1{}\mathrm{i}}{\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(26496\,a^{25}\,b^{14}\,d^6-1152\,a^{15}\,b^{24}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)\right)+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6\right)\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(26496\,a^{25}\,b^{14}\,d^6-1152\,a^{15}\,b^{24}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)\right)+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6\right)\right)+144\,a^{14}\,b^{21}\,d^4+1296\,a^{16}\,b^{19}\,d^4+4880\,a^{18}\,b^{17}\,d^4+10000\,a^{20}\,b^{15}\,d^4+12080\,a^{22}\,b^{13}\,d^4+8624\,a^{24}\,b^{11}\,d^4+3376\,a^{26}\,b^9\,d^4+560\,a^{28}\,b^7\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)}{2}+\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(13248\,a^{25}\,b^{14}\,d^6-576\,a^{15}\,b^{24}\,d^6-4224\,a^{17}\,b^{22}\,d^6-11888\,a^{19}\,b^{20}\,d^6-14832\,a^{21}\,b^{18}\,d^6-3264\,a^{23}\,b^{16}\,d^6-\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(384\,a^{16}\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{4}+4352\,a^{18}\,b^{25}\,d^8+22144\,a^{20}\,b^{23}\,d^8+66560\,a^{22}\,b^{21}\,d^8+130560\,a^{24}\,b^{19}\,d^8+173568\,a^{26}\,b^{17}\,d^8+155904\,a^{28}\,b^{15}\,d^8+89088\,a^{30}\,b^{13}\,d^8+24960\,a^{32}\,b^{11}\,d^8-3840\,a^{34}\,b^9\,d^8-6016\,a^{36}\,b^7\,d^8-2048\,a^{38}\,b^5\,d^8-256\,a^{40}\,b^3\,d^8\right)}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)}{2}\right)}{2}+16992\,a^{27}\,b^{12}\,d^6+9312\,a^{29}\,b^{10}\,d^6+2688\,a^{31}\,b^8\,d^6+576\,a^{33}\,b^6\,d^6+144\,a^{35}\,b^4\,d^6+16\,a^{37}\,b^2\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}+\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)}{2}-\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(13248\,a^{25}\,b^{14}\,d^6-576\,a^{15}\,b^{24}\,d^6-4224\,a^{17}\,b^{22}\,d^6-11888\,a^{19}\,b^{20}\,d^6-14832\,a^{21}\,b^{18}\,d^6-3264\,a^{23}\,b^{16}\,d^6-\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{4}+384\,a^{16}\,b^{27}\,d^8+4352\,a^{18}\,b^{25}\,d^8+22144\,a^{20}\,b^{23}\,d^8+66560\,a^{22}\,b^{21}\,d^8+130560\,a^{24}\,b^{19}\,d^8+173568\,a^{26}\,b^{17}\,d^8+155904\,a^{28}\,b^{15}\,d^8+89088\,a^{30}\,b^{13}\,d^8+24960\,a^{32}\,b^{11}\,d^8-3840\,a^{34}\,b^9\,d^8-6016\,a^{36}\,b^7\,d^8-2048\,a^{38}\,b^5\,d^8-256\,a^{40}\,b^3\,d^8\right)}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)}{2}\right)}{2}+16992\,a^{27}\,b^{12}\,d^6+9312\,a^{29}\,b^{10}\,d^6+2688\,a^{31}\,b^8\,d^6+576\,a^{33}\,b^6\,d^6+144\,a^{35}\,b^4\,d^6+16\,a^{37}\,b^2\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)}{2}+\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(13248\,a^{25}\,b^{14}\,d^6-576\,a^{15}\,b^{24}\,d^6-4224\,a^{17}\,b^{22}\,d^6-11888\,a^{19}\,b^{20}\,d^6-14832\,a^{21}\,b^{18}\,d^6-3264\,a^{23}\,b^{16}\,d^6-\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(384\,a^{16}\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{4}+4352\,a^{18}\,b^{25}\,d^8+22144\,a^{20}\,b^{23}\,d^8+66560\,a^{22}\,b^{21}\,d^8+130560\,a^{24}\,b^{19}\,d^8+173568\,a^{26}\,b^{17}\,d^8+155904\,a^{28}\,b^{15}\,d^8+89088\,a^{30}\,b^{13}\,d^8+24960\,a^{32}\,b^{11}\,d^8-3840\,a^{34}\,b^9\,d^8-6016\,a^{36}\,b^7\,d^8-2048\,a^{38}\,b^5\,d^8-256\,a^{40}\,b^3\,d^8\right)}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)}{2}\right)}{2}+16992\,a^{27}\,b^{12}\,d^6+9312\,a^{29}\,b^{10}\,d^6+2688\,a^{31}\,b^8\,d^6+576\,a^{33}\,b^6\,d^6+144\,a^{35}\,b^4\,d^6+16\,a^{37}\,b^2\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}-\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)}{2}-\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(13248\,a^{25}\,b^{14}\,d^6-576\,a^{15}\,b^{24}\,d^6-4224\,a^{17}\,b^{22}\,d^6-11888\,a^{19}\,b^{20}\,d^6-14832\,a^{21}\,b^{18}\,d^6-3264\,a^{23}\,b^{16}\,d^6-\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{4}+384\,a^{16}\,b^{27}\,d^8+4352\,a^{18}\,b^{25}\,d^8+22144\,a^{20}\,b^{23}\,d^8+66560\,a^{22}\,b^{21}\,d^8+130560\,a^{24}\,b^{19}\,d^8+173568\,a^{26}\,b^{17}\,d^8+155904\,a^{28}\,b^{15}\,d^8+89088\,a^{30}\,b^{13}\,d^8+24960\,a^{32}\,b^{11}\,d^8-3840\,a^{34}\,b^9\,d^8-6016\,a^{36}\,b^7\,d^8-2048\,a^{38}\,b^5\,d^8-256\,a^{40}\,b^3\,d^8\right)}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)}{2}\right)}{2}+16992\,a^{27}\,b^{12}\,d^6+9312\,a^{29}\,b^{10}\,d^6+2688\,a^{31}\,b^8\,d^6+576\,a^{33}\,b^6\,d^6+144\,a^{35}\,b^4\,d^6+16\,a^{37}\,b^2\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}+144\,a^{14}\,b^{21}\,d^4+1296\,a^{16}\,b^{19}\,d^4+4880\,a^{18}\,b^{17}\,d^4+10000\,a^{20}\,b^{15}\,d^4+12080\,a^{22}\,b^{13}\,d^4+8624\,a^{24}\,b^{11}\,d^4+3376\,a^{26}\,b^9\,d^4+560\,a^{28}\,b^7\,d^4}\right)\,\sqrt{\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\frac{2}{a}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(2\,a^2\,b+3\,b^3\right)}{a^2\,\left(a^2+b^2\right)}}{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+b\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(7\,a^2+3\,b^2\right)\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)+\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(26496\,a^{25}\,b^{14}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-1152\,a^{15}\,b^{24}\,d^6+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)+\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\sqrt{-a^5\,b^5}\,1{}\mathrm{i}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}+\frac{\left(7\,a^2+3\,b^2\right)\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)-\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(26496\,a^{25}\,b^{14}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-1152\,a^{15}\,b^{24}\,d^6+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)-\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\sqrt{-a^5\,b^5}\,1{}\mathrm{i}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}}{144\,a^{14}\,b^{21}\,d^4+1296\,a^{16}\,b^{19}\,d^4+4880\,a^{18}\,b^{17}\,d^4+10000\,a^{20}\,b^{15}\,d^4+12080\,a^{22}\,b^{13}\,d^4+8624\,a^{24}\,b^{11}\,d^4+3376\,a^{26}\,b^9\,d^4+560\,a^{28}\,b^7\,d^4+\frac{\left(7\,a^2+3\,b^2\right)\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)+\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(26496\,a^{25}\,b^{14}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-1152\,a^{15}\,b^{24}\,d^6+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)+\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}-\frac{\left(7\,a^2+3\,b^2\right)\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{32}\,b^5\,d^5-560\,a^{30}\,b^7\,d^5-3136\,a^{28}\,b^9\,d^5-5632\,a^{26}\,b^{11}\,d^5-2816\,a^{24}\,b^{13}\,d^5+3872\,a^{22}\,b^{15}\,d^5+6720\,a^{20}\,b^{17}\,d^5+4224\,a^{18}\,b^{19}\,d^5+1248\,a^{16}\,b^{21}\,d^5+144\,a^{14}\,b^{23}\,d^5\right)-\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(26496\,a^{25}\,b^{14}\,d^6-8448\,a^{17}\,b^{22}\,d^6-23776\,a^{19}\,b^{20}\,d^6-29664\,a^{21}\,b^{18}\,d^6-6528\,a^{23}\,b^{16}\,d^6-1152\,a^{15}\,b^{24}\,d^6+33984\,a^{27}\,b^{12}\,d^6+18624\,a^{29}\,b^{10}\,d^6+5376\,a^{31}\,b^8\,d^6+1152\,a^{33}\,b^6\,d^6+288\,a^{35}\,b^4\,d^6+32\,a^{37}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{39}\,b^2\,d^7+512\,a^{37}\,b^4\,d^7+704\,a^{35}\,b^6\,d^7+3200\,a^{33}\,b^8\,d^7+37632\,a^{31}\,b^{10}\,d^7+156160\,a^{29}\,b^{12}\,d^7+337792\,a^{27}\,b^{14}\,d^7+443136\,a^{25}\,b^{16}\,d^7+372800\,a^{23}\,b^{18}\,d^7+202752\,a^{21}\,b^{20}\,d^7+69056\,a^{19}\,b^{22}\,d^7+13440\,a^{17}\,b^{24}\,d^7+1152\,a^{15}\,b^{26}\,d^7\right)-\frac{\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(768\,a^{16}\,b^{27}\,d^8+8704\,a^{18}\,b^{25}\,d^8+44288\,a^{20}\,b^{23}\,d^8+133120\,a^{22}\,b^{21}\,d^8+261120\,a^{24}\,b^{19}\,d^8+347136\,a^{26}\,b^{17}\,d^8+311808\,a^{28}\,b^{15}\,d^8+178176\,a^{30}\,b^{13}\,d^8+49920\,a^{32}\,b^{11}\,d^8-7680\,a^{34}\,b^9\,d^8-12032\,a^{36}\,b^7\,d^8-4096\,a^{38}\,b^5\,d^8-512\,a^{40}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,\left(-512\,a^{42}\,b^3\,d^9-5120\,a^{40}\,b^5\,d^9-22528\,a^{38}\,b^7\,d^9-56320\,a^{36}\,b^9\,d^9-84480\,a^{34}\,b^{11}\,d^9-67584\,a^{32}\,b^{13}\,d^9+67584\,a^{28}\,b^{17}\,d^9+84480\,a^{26}\,b^{19}\,d^9+56320\,a^{24}\,b^{21}\,d^9+22528\,a^{22}\,b^{23}\,d^9+5120\,a^{20}\,b^{25}\,d^9+512\,a^{18}\,b^{27}\,d^9\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}\right)\,\sqrt{-a^5\,b^5}}{2\,\left(d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4\right)}}\right)\,\left(7\,a^2+3\,b^2\right)\,\sqrt{-a^5\,b^5}\,1{}\mathrm{i}}{d\,a^9+2\,d\,a^7\,b^2+d\,a^5\,b^4}","Not used",1,"atan(((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(26496*a^25*b^14*d^6 - 1152*a^15*b^24*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 - tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9)) + tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7)) + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6))*1i + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(26496*a^25*b^14*d^6 - 1152*a^15*b^24*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 + tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9)) - tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7)) + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6))*1i)/((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) + (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(26496*a^25*b^14*d^6 - 1152*a^15*b^24*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 - tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9)) + tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7)) + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6)) - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(26496*a^25*b^14*d^6 - 1152*a^15*b^24*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - (1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 + tan(c + d*x)^(1/2)*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9)) - tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7)) + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6)) + 144*a^14*b^21*d^4 + 1296*a^16*b^19*d^4 + 4880*a^18*b^17*d^4 + 10000*a^20*b^15*d^4 + 12080*a^22*b^13*d^4 + 8624*a^24*b^11*d^4 + 3376*a^26*b^9*d^4 + 560*a^28*b^7*d^4))*(1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i + atan((((tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5))/2 + ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(13248*a^25*b^14*d^6 - 576*a^15*b^24*d^6 - 4224*a^17*b^22*d^6 - 11888*a^19*b^20*d^6 - 14832*a^21*b^18*d^6 - 3264*a^23*b^16*d^6 - ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(384*a^16*b^27*d^8 - (tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/4 + 4352*a^18*b^25*d^8 + 22144*a^20*b^23*d^8 + 66560*a^22*b^21*d^8 + 130560*a^24*b^19*d^8 + 173568*a^26*b^17*d^8 + 155904*a^28*b^15*d^8 + 89088*a^30*b^13*d^8 + 24960*a^32*b^11*d^8 - 3840*a^34*b^9*d^8 - 6016*a^36*b^7*d^8 - 2048*a^38*b^5*d^8 - 256*a^40*b^3*d^8))/2 + (tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7))/2))/2 + 16992*a^27*b^12*d^6 + 9312*a^29*b^10*d^6 + 2688*a^31*b^8*d^6 + 576*a^33*b^6*d^6 + 144*a^35*b^4*d^6 + 16*a^37*b^2*d^6))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i + ((tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5))/2 - ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(13248*a^25*b^14*d^6 - 576*a^15*b^24*d^6 - 4224*a^17*b^22*d^6 - 11888*a^19*b^20*d^6 - 14832*a^21*b^18*d^6 - 3264*a^23*b^16*d^6 - ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/4 + 384*a^16*b^27*d^8 + 4352*a^18*b^25*d^8 + 22144*a^20*b^23*d^8 + 66560*a^22*b^21*d^8 + 130560*a^24*b^19*d^8 + 173568*a^26*b^17*d^8 + 155904*a^28*b^15*d^8 + 89088*a^30*b^13*d^8 + 24960*a^32*b^11*d^8 - 3840*a^34*b^9*d^8 - 6016*a^36*b^7*d^8 - 2048*a^38*b^5*d^8 - 256*a^40*b^3*d^8))/2 - (tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7))/2))/2 + 16992*a^27*b^12*d^6 + 9312*a^29*b^10*d^6 + 2688*a^31*b^8*d^6 + 576*a^33*b^6*d^6 + 144*a^35*b^4*d^6 + 16*a^37*b^2*d^6))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i)/(((tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5))/2 + ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(13248*a^25*b^14*d^6 - 576*a^15*b^24*d^6 - 4224*a^17*b^22*d^6 - 11888*a^19*b^20*d^6 - 14832*a^21*b^18*d^6 - 3264*a^23*b^16*d^6 - ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(384*a^16*b^27*d^8 - (tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/4 + 4352*a^18*b^25*d^8 + 22144*a^20*b^23*d^8 + 66560*a^22*b^21*d^8 + 130560*a^24*b^19*d^8 + 173568*a^26*b^17*d^8 + 155904*a^28*b^15*d^8 + 89088*a^30*b^13*d^8 + 24960*a^32*b^11*d^8 - 3840*a^34*b^9*d^8 - 6016*a^36*b^7*d^8 - 2048*a^38*b^5*d^8 - 256*a^40*b^3*d^8))/2 + (tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7))/2))/2 + 16992*a^27*b^12*d^6 + 9312*a^29*b^10*d^6 + 2688*a^31*b^8*d^6 + 576*a^33*b^6*d^6 + 144*a^35*b^4*d^6 + 16*a^37*b^2*d^6))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2) - ((tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5))/2 - ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(13248*a^25*b^14*d^6 - 576*a^15*b^24*d^6 - 4224*a^17*b^22*d^6 - 11888*a^19*b^20*d^6 - 14832*a^21*b^18*d^6 - 3264*a^23*b^16*d^6 - ((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(((1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*((tan(c + d*x)^(1/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/4 + 384*a^16*b^27*d^8 + 4352*a^18*b^25*d^8 + 22144*a^20*b^23*d^8 + 66560*a^22*b^21*d^8 + 130560*a^24*b^19*d^8 + 173568*a^26*b^17*d^8 + 155904*a^28*b^15*d^8 + 89088*a^30*b^13*d^8 + 24960*a^32*b^11*d^8 - 3840*a^34*b^9*d^8 - 6016*a^36*b^7*d^8 - 2048*a^38*b^5*d^8 - 256*a^40*b^3*d^8))/2 - (tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7))/2))/2 + 16992*a^27*b^12*d^6 + 9312*a^29*b^10*d^6 + 2688*a^31*b^8*d^6 + 576*a^33*b^6*d^6 + 144*a^35*b^4*d^6 + 16*a^37*b^2*d^6))/2)*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2) + 144*a^14*b^21*d^4 + 1296*a^16*b^19*d^4 + 4880*a^18*b^17*d^4 + 10000*a^20*b^15*d^4 + 12080*a^22*b^13*d^4 + 8624*a^24*b^11*d^4 + 3376*a^26*b^9*d^4 + 560*a^28*b^7*d^4))*(1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*1i - (2/a + (tan(c + d*x)*(2*a^2*b + 3*b^3))/(a^2*(a^2 + b^2)))/(a*d*tan(c + d*x)^(1/2) + b*d*tan(c + d*x)^(3/2)) + (atan((((7*a^2 + 3*b^2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) + ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(26496*a^25*b^14*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - 1152*a^15*b^24*d^6 + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6 - ((tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7) + ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 - (tan(c + d*x)^(1/2)*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(-a^5*b^5)^(1/2)*1i)/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)) + ((7*a^2 + 3*b^2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) - ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(26496*a^25*b^14*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - 1152*a^15*b^24*d^6 + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6 + ((tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7) - ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 + (tan(c + d*x)^(1/2)*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(-a^5*b^5)^(1/2)*1i)/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))/(144*a^14*b^21*d^4 + 1296*a^16*b^19*d^4 + 4880*a^18*b^17*d^4 + 10000*a^20*b^15*d^4 + 12080*a^22*b^13*d^4 + 8624*a^24*b^11*d^4 + 3376*a^26*b^9*d^4 + 560*a^28*b^7*d^4 + ((7*a^2 + 3*b^2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) + ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(26496*a^25*b^14*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - 1152*a^15*b^24*d^6 + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6 - ((tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7) + ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 - (tan(c + d*x)^(1/2)*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(-a^5*b^5)^(1/2))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)) - ((7*a^2 + 3*b^2)*(tan(c + d*x)^(1/2)*(144*a^14*b^23*d^5 + 1248*a^16*b^21*d^5 + 4224*a^18*b^19*d^5 + 6720*a^20*b^17*d^5 + 3872*a^22*b^15*d^5 - 2816*a^24*b^13*d^5 - 5632*a^26*b^11*d^5 - 3136*a^28*b^9*d^5 - 560*a^30*b^7*d^5 + 32*a^32*b^5*d^5) - ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(26496*a^25*b^14*d^6 - 8448*a^17*b^22*d^6 - 23776*a^19*b^20*d^6 - 29664*a^21*b^18*d^6 - 6528*a^23*b^16*d^6 - 1152*a^15*b^24*d^6 + 33984*a^27*b^12*d^6 + 18624*a^29*b^10*d^6 + 5376*a^31*b^8*d^6 + 1152*a^33*b^6*d^6 + 288*a^35*b^4*d^6 + 32*a^37*b^2*d^6 + ((tan(c + d*x)^(1/2)*(1152*a^15*b^26*d^7 + 13440*a^17*b^24*d^7 + 69056*a^19*b^22*d^7 + 202752*a^21*b^20*d^7 + 372800*a^23*b^18*d^7 + 443136*a^25*b^16*d^7 + 337792*a^27*b^14*d^7 + 156160*a^29*b^12*d^7 + 37632*a^31*b^10*d^7 + 3200*a^33*b^8*d^7 + 704*a^35*b^6*d^7 + 512*a^37*b^4*d^7 + 64*a^39*b^2*d^7) - ((7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(768*a^16*b^27*d^8 + 8704*a^18*b^25*d^8 + 44288*a^20*b^23*d^8 + 133120*a^22*b^21*d^8 + 261120*a^24*b^19*d^8 + 347136*a^26*b^17*d^8 + 311808*a^28*b^15*d^8 + 178176*a^30*b^13*d^8 + 49920*a^32*b^11*d^8 - 7680*a^34*b^9*d^8 - 12032*a^36*b^7*d^8 - 4096*a^38*b^5*d^8 - 512*a^40*b^3*d^8 + (tan(c + d*x)^(1/2)*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*(512*a^18*b^27*d^9 + 5120*a^20*b^25*d^9 + 22528*a^22*b^23*d^9 + 56320*a^24*b^21*d^9 + 84480*a^26*b^19*d^9 + 67584*a^28*b^17*d^9 - 67584*a^32*b^13*d^9 - 84480*a^34*b^11*d^9 - 56320*a^36*b^9*d^9 - 22528*a^38*b^7*d^9 - 5120*a^40*b^5*d^9 - 512*a^42*b^3*d^9))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)))*(-a^5*b^5)^(1/2))/(2*(a^9*d + a^5*b^4*d + 2*a^7*b^2*d))))*(7*a^2 + 3*b^2)*(-a^5*b^5)^(1/2)*1i)/(a^9*d + a^5*b^4*d + 2*a^7*b^2*d)","B"
598,1,6886,397,9.635527,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2),x)","\frac{\frac{10\,b\,\mathrm{tan}\left(c+d\,x\right)}{3\,a^2}-\frac{2}{3\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(4\,a^2\,b^2+5\,b^4\right)}{a^3\,\left(a^2+b^2\right)}}{a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+b\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}-\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{48}\,b^2\,d^7-512\,a^{46}\,b^4\,d^7-704\,a^{44}\,b^6\,d^7+3072\,a^{42}\,b^8\,d^7+22016\,a^{40}\,b^{10}\,d^7+98432\,a^{38}\,b^{12}\,d^7+304256\,a^{36}\,b^{14}\,d^7+615936\,a^{34}\,b^{16}\,d^7+820672\,a^{32}\,b^{18}\,d^7+727296\,a^{30}\,b^{20}\,d^7+425536\,a^{28}\,b^{22}\,d^7+158208\,a^{26}\,b^{24}\,d^7+33920\,a^{24}\,b^{26}\,d^7+3200\,a^{22}\,b^{28}\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(1280\,a^{24}\,b^{28}\,d^8+13824\,a^{26}\,b^{26}\,d^8+66944\,a^{28}\,b^{24}\,d^8+190848\,a^{30}\,b^{22}\,d^8+352640\,a^{32}\,b^{20}\,d^8+435840\,a^{34}\,b^{18}\,d^8+354048\,a^{36}\,b^{16}\,d^8+169728\,a^{38}\,b^{14}\,d^8+24576\,a^{40}\,b^{12}\,d^8-21760\,a^{42}\,b^{10}\,d^8-13440\,a^{44}\,b^8\,d^8-2176\,a^{46}\,b^6\,d^8+384\,a^{48}\,b^4\,d^8+128\,a^{50}\,b^2\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{51}\,b^3\,d^9-5120\,a^{49}\,b^5\,d^9-22528\,a^{47}\,b^7\,d^9-56320\,a^{45}\,b^9\,d^9-84480\,a^{43}\,b^{11}\,d^9-67584\,a^{41}\,b^{13}\,d^9+67584\,a^{37}\,b^{17}\,d^9+84480\,a^{35}\,b^{19}\,d^9+56320\,a^{33}\,b^{21}\,d^9+22528\,a^{31}\,b^{23}\,d^9+5120\,a^{29}\,b^{25}\,d^9+512\,a^{27}\,b^{27}\,d^9\right)\right)\right)-800\,a^{21}\,b^{27}\,d^6-2080\,a^{23}\,b^{25}\,d^6+12928\,a^{25}\,b^{23}\,d^6+78464\,a^{27}\,b^{21}\,d^6+183616\,a^{29}\,b^{19}\,d^6+238400\,a^{31}\,b^{17}\,d^6+184960\,a^{33}\,b^{15}\,d^6+84608\,a^{35}\,b^{13}\,d^6+20704\,a^{37}\,b^{11}\,d^6+2016\,a^{39}\,b^9\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{41}\,b^5\,d^5+224\,a^{39}\,b^7\,d^5+1968\,a^{37}\,b^9\,d^5+7744\,a^{35}\,b^{11}\,d^5+13760\,a^{33}\,b^{13}\,d^5+9472\,a^{31}\,b^{15}\,d^5-4256\,a^{29}\,b^{17}\,d^5-12352\,a^{27}\,b^{19}\,d^5-9056\,a^{25}\,b^{21}\,d^5-3040\,a^{23}\,b^{23}\,d^5-400\,a^{21}\,b^{25}\,d^5\right)\right)\,1{}\mathrm{i}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(12928\,a^{25}\,b^{23}\,d^6-800\,a^{21}\,b^{27}\,d^6-2080\,a^{23}\,b^{25}\,d^6-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{48}\,b^2\,d^7-512\,a^{46}\,b^4\,d^7-704\,a^{44}\,b^6\,d^7+3072\,a^{42}\,b^8\,d^7+22016\,a^{40}\,b^{10}\,d^7+98432\,a^{38}\,b^{12}\,d^7+304256\,a^{36}\,b^{14}\,d^7+615936\,a^{34}\,b^{16}\,d^7+820672\,a^{32}\,b^{18}\,d^7+727296\,a^{30}\,b^{20}\,d^7+425536\,a^{28}\,b^{22}\,d^7+158208\,a^{26}\,b^{24}\,d^7+33920\,a^{24}\,b^{26}\,d^7+3200\,a^{22}\,b^{28}\,d^7\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(1280\,a^{24}\,b^{28}\,d^8+13824\,a^{26}\,b^{26}\,d^8+66944\,a^{28}\,b^{24}\,d^8+190848\,a^{30}\,b^{22}\,d^8+352640\,a^{32}\,b^{20}\,d^8+435840\,a^{34}\,b^{18}\,d^8+354048\,a^{36}\,b^{16}\,d^8+169728\,a^{38}\,b^{14}\,d^8+24576\,a^{40}\,b^{12}\,d^8-21760\,a^{42}\,b^{10}\,d^8-13440\,a^{44}\,b^8\,d^8-2176\,a^{46}\,b^6\,d^8+384\,a^{48}\,b^4\,d^8+128\,a^{50}\,b^2\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{51}\,b^3\,d^9-5120\,a^{49}\,b^5\,d^9-22528\,a^{47}\,b^7\,d^9-56320\,a^{45}\,b^9\,d^9-84480\,a^{43}\,b^{11}\,d^9-67584\,a^{41}\,b^{13}\,d^9+67584\,a^{37}\,b^{17}\,d^9+84480\,a^{35}\,b^{19}\,d^9+56320\,a^{33}\,b^{21}\,d^9+22528\,a^{31}\,b^{23}\,d^9+5120\,a^{29}\,b^{25}\,d^9+512\,a^{27}\,b^{27}\,d^9\right)\right)\right)+78464\,a^{27}\,b^{21}\,d^6+183616\,a^{29}\,b^{19}\,d^6+238400\,a^{31}\,b^{17}\,d^6+184960\,a^{33}\,b^{15}\,d^6+84608\,a^{35}\,b^{13}\,d^6+20704\,a^{37}\,b^{11}\,d^6+2016\,a^{39}\,b^9\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{41}\,b^5\,d^5+224\,a^{39}\,b^7\,d^5+1968\,a^{37}\,b^9\,d^5+7744\,a^{35}\,b^{11}\,d^5+13760\,a^{33}\,b^{13}\,d^5+9472\,a^{31}\,b^{15}\,d^5-4256\,a^{29}\,b^{17}\,d^5-12352\,a^{27}\,b^{19}\,d^5-9056\,a^{25}\,b^{21}\,d^5-3040\,a^{23}\,b^{23}\,d^5-400\,a^{21}\,b^{25}\,d^5\right)\right)\,1{}\mathrm{i}}{160\,a^{24}\,b^{20}\,d^4-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(12928\,a^{25}\,b^{23}\,d^6-800\,a^{21}\,b^{27}\,d^6-2080\,a^{23}\,b^{25}\,d^6-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{48}\,b^2\,d^7-512\,a^{46}\,b^4\,d^7-704\,a^{44}\,b^6\,d^7+3072\,a^{42}\,b^8\,d^7+22016\,a^{40}\,b^{10}\,d^7+98432\,a^{38}\,b^{12}\,d^7+304256\,a^{36}\,b^{14}\,d^7+615936\,a^{34}\,b^{16}\,d^7+820672\,a^{32}\,b^{18}\,d^7+727296\,a^{30}\,b^{20}\,d^7+425536\,a^{28}\,b^{22}\,d^7+158208\,a^{26}\,b^{24}\,d^7+33920\,a^{24}\,b^{26}\,d^7+3200\,a^{22}\,b^{28}\,d^7\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(1280\,a^{24}\,b^{28}\,d^8+13824\,a^{26}\,b^{26}\,d^8+66944\,a^{28}\,b^{24}\,d^8+190848\,a^{30}\,b^{22}\,d^8+352640\,a^{32}\,b^{20}\,d^8+435840\,a^{34}\,b^{18}\,d^8+354048\,a^{36}\,b^{16}\,d^8+169728\,a^{38}\,b^{14}\,d^8+24576\,a^{40}\,b^{12}\,d^8-21760\,a^{42}\,b^{10}\,d^8-13440\,a^{44}\,b^8\,d^8-2176\,a^{46}\,b^6\,d^8+384\,a^{48}\,b^4\,d^8+128\,a^{50}\,b^2\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{51}\,b^3\,d^9-5120\,a^{49}\,b^5\,d^9-22528\,a^{47}\,b^7\,d^9-56320\,a^{45}\,b^9\,d^9-84480\,a^{43}\,b^{11}\,d^9-67584\,a^{41}\,b^{13}\,d^9+67584\,a^{37}\,b^{17}\,d^9+84480\,a^{35}\,b^{19}\,d^9+56320\,a^{33}\,b^{21}\,d^9+22528\,a^{31}\,b^{23}\,d^9+5120\,a^{29}\,b^{25}\,d^9+512\,a^{27}\,b^{27}\,d^9\right)\right)\right)+78464\,a^{27}\,b^{21}\,d^6+183616\,a^{29}\,b^{19}\,d^6+238400\,a^{31}\,b^{17}\,d^6+184960\,a^{33}\,b^{15}\,d^6+84608\,a^{35}\,b^{13}\,d^6+20704\,a^{37}\,b^{11}\,d^6+2016\,a^{39}\,b^9\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{41}\,b^5\,d^5+224\,a^{39}\,b^7\,d^5+1968\,a^{37}\,b^9\,d^5+7744\,a^{35}\,b^{11}\,d^5+13760\,a^{33}\,b^{13}\,d^5+9472\,a^{31}\,b^{15}\,d^5-4256\,a^{29}\,b^{17}\,d^5-12352\,a^{27}\,b^{19}\,d^5-9056\,a^{25}\,b^{21}\,d^5-3040\,a^{23}\,b^{23}\,d^5-400\,a^{21}\,b^{25}\,d^5\right)\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{48}\,b^2\,d^7-512\,a^{46}\,b^4\,d^7-704\,a^{44}\,b^6\,d^7+3072\,a^{42}\,b^8\,d^7+22016\,a^{40}\,b^{10}\,d^7+98432\,a^{38}\,b^{12}\,d^7+304256\,a^{36}\,b^{14}\,d^7+615936\,a^{34}\,b^{16}\,d^7+820672\,a^{32}\,b^{18}\,d^7+727296\,a^{30}\,b^{20}\,d^7+425536\,a^{28}\,b^{22}\,d^7+158208\,a^{26}\,b^{24}\,d^7+33920\,a^{24}\,b^{26}\,d^7+3200\,a^{22}\,b^{28}\,d^7\right)-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(1280\,a^{24}\,b^{28}\,d^8+13824\,a^{26}\,b^{26}\,d^8+66944\,a^{28}\,b^{24}\,d^8+190848\,a^{30}\,b^{22}\,d^8+352640\,a^{32}\,b^{20}\,d^8+435840\,a^{34}\,b^{18}\,d^8+354048\,a^{36}\,b^{16}\,d^8+169728\,a^{38}\,b^{14}\,d^8+24576\,a^{40}\,b^{12}\,d^8-21760\,a^{42}\,b^{10}\,d^8-13440\,a^{44}\,b^8\,d^8-2176\,a^{46}\,b^6\,d^8+384\,a^{48}\,b^4\,d^8+128\,a^{50}\,b^2\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,\left(-512\,a^{51}\,b^3\,d^9-5120\,a^{49}\,b^5\,d^9-22528\,a^{47}\,b^7\,d^9-56320\,a^{45}\,b^9\,d^9-84480\,a^{43}\,b^{11}\,d^9-67584\,a^{41}\,b^{13}\,d^9+67584\,a^{37}\,b^{17}\,d^9+84480\,a^{35}\,b^{19}\,d^9+56320\,a^{33}\,b^{21}\,d^9+22528\,a^{31}\,b^{23}\,d^9+5120\,a^{29}\,b^{25}\,d^9+512\,a^{27}\,b^{27}\,d^9\right)\right)\right)-800\,a^{21}\,b^{27}\,d^6-2080\,a^{23}\,b^{25}\,d^6+12928\,a^{25}\,b^{23}\,d^6+78464\,a^{27}\,b^{21}\,d^6+183616\,a^{29}\,b^{19}\,d^6+238400\,a^{31}\,b^{17}\,d^6+184960\,a^{33}\,b^{15}\,d^6+84608\,a^{35}\,b^{13}\,d^6+20704\,a^{37}\,b^{11}\,d^6+2016\,a^{39}\,b^9\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{41}\,b^5\,d^5+224\,a^{39}\,b^7\,d^5+1968\,a^{37}\,b^9\,d^5+7744\,a^{35}\,b^{11}\,d^5+13760\,a^{33}\,b^{13}\,d^5+9472\,a^{31}\,b^{15}\,d^5-4256\,a^{29}\,b^{17}\,d^5-12352\,a^{27}\,b^{19}\,d^5-9056\,a^{25}\,b^{21}\,d^5-3040\,a^{23}\,b^{23}\,d^5-400\,a^{21}\,b^{25}\,d^5\right)\right)+1088\,a^{26}\,b^{18}\,d^4+3040\,a^{28}\,b^{16}\,d^4+4480\,a^{30}\,b^{14}\,d^4+3680\,a^{32}\,b^{12}\,d^4+1600\,a^{34}\,b^{10}\,d^4+288\,a^{36}\,b^8\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^4\,d^2-a^3\,b\,d^2\,4{}\mathrm{i}-6\,a^2\,b^2\,d^2+a\,b^3\,d^2\,4{}\mathrm{i}+b^4\,d^2\right)}}\,2{}\mathrm{i}+\frac{\ln\left(80\,a^{24}\,b^{20}\,d^4-\frac{\left(\frac{\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(12928\,a^{25}\,b^{23}\,d^6-800\,a^{21}\,b^{27}\,d^6-2080\,a^{23}\,b^{25}\,d^6-\frac{\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{48}\,b^2\,d^7-512\,a^{46}\,b^4\,d^7-704\,a^{44}\,b^6\,d^7+3072\,a^{42}\,b^8\,d^7+22016\,a^{40}\,b^{10}\,d^7+98432\,a^{38}\,b^{12}\,d^7+304256\,a^{36}\,b^{14}\,d^7+615936\,a^{34}\,b^{16}\,d^7+820672\,a^{32}\,b^{18}\,d^7+727296\,a^{30}\,b^{20}\,d^7+425536\,a^{28}\,b^{22}\,d^7+158208\,a^{26}\,b^{24}\,d^7+33920\,a^{24}\,b^{26}\,d^7+3200\,a^{22}\,b^{28}\,d^7\right)+\frac{\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(1280\,a^{24}\,b^{28}\,d^8+13824\,a^{26}\,b^{26}\,d^8+66944\,a^{28}\,b^{24}\,d^8+190848\,a^{30}\,b^{22}\,d^8+352640\,a^{32}\,b^{20}\,d^8+435840\,a^{34}\,b^{18}\,d^8+354048\,a^{36}\,b^{16}\,d^8+169728\,a^{38}\,b^{14}\,d^8+24576\,a^{40}\,b^{12}\,d^8-21760\,a^{42}\,b^{10}\,d^8-13440\,a^{44}\,b^8\,d^8-2176\,a^{46}\,b^6\,d^8+384\,a^{48}\,b^4\,d^8+128\,a^{50}\,b^2\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{51}\,b^3\,d^9-5120\,a^{49}\,b^5\,d^9-22528\,a^{47}\,b^7\,d^9-56320\,a^{45}\,b^9\,d^9-84480\,a^{43}\,b^{11}\,d^9-67584\,a^{41}\,b^{13}\,d^9+67584\,a^{37}\,b^{17}\,d^9+84480\,a^{35}\,b^{19}\,d^9+56320\,a^{33}\,b^{21}\,d^9+22528\,a^{31}\,b^{23}\,d^9+5120\,a^{29}\,b^{25}\,d^9+512\,a^{27}\,b^{27}\,d^9\right)}{2}\right)}{2}\right)}{2}+78464\,a^{27}\,b^{21}\,d^6+183616\,a^{29}\,b^{19}\,d^6+238400\,a^{31}\,b^{17}\,d^6+184960\,a^{33}\,b^{15}\,d^6+84608\,a^{35}\,b^{13}\,d^6+20704\,a^{37}\,b^{11}\,d^6+2016\,a^{39}\,b^9\,d^6\right)}{2}+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{41}\,b^5\,d^5+224\,a^{39}\,b^7\,d^5+1968\,a^{37}\,b^9\,d^5+7744\,a^{35}\,b^{11}\,d^5+13760\,a^{33}\,b^{13}\,d^5+9472\,a^{31}\,b^{15}\,d^5-4256\,a^{29}\,b^{17}\,d^5-12352\,a^{27}\,b^{19}\,d^5-9056\,a^{25}\,b^{21}\,d^5-3040\,a^{23}\,b^{23}\,d^5-400\,a^{21}\,b^{25}\,d^5\right)\right)\,\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}+544\,a^{26}\,b^{18}\,d^4+1520\,a^{28}\,b^{16}\,d^4+2240\,a^{30}\,b^{14}\,d^4+1840\,a^{32}\,b^{12}\,d^4+800\,a^{34}\,b^{10}\,d^4+144\,a^{36}\,b^8\,d^4\right)\,\sqrt{-\frac{1}{a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(80\,a^{24}\,b^{20}\,d^4-\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{48}\,b^2\,d^7-512\,a^{46}\,b^4\,d^7-704\,a^{44}\,b^6\,d^7+3072\,a^{42}\,b^8\,d^7+22016\,a^{40}\,b^{10}\,d^7+98432\,a^{38}\,b^{12}\,d^7+304256\,a^{36}\,b^{14}\,d^7+615936\,a^{34}\,b^{16}\,d^7+820672\,a^{32}\,b^{18}\,d^7+727296\,a^{30}\,b^{20}\,d^7+425536\,a^{28}\,b^{22}\,d^7+158208\,a^{26}\,b^{24}\,d^7+33920\,a^{24}\,b^{26}\,d^7+3200\,a^{22}\,b^{28}\,d^7\right)-\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}\,\left(1280\,a^{24}\,b^{28}\,d^8+13824\,a^{26}\,b^{26}\,d^8+66944\,a^{28}\,b^{24}\,d^8+190848\,a^{30}\,b^{22}\,d^8+352640\,a^{32}\,b^{20}\,d^8+435840\,a^{34}\,b^{18}\,d^8+354048\,a^{36}\,b^{16}\,d^8+169728\,a^{38}\,b^{14}\,d^8+24576\,a^{40}\,b^{12}\,d^8-21760\,a^{42}\,b^{10}\,d^8-13440\,a^{44}\,b^8\,d^8-2176\,a^{46}\,b^6\,d^8+384\,a^{48}\,b^4\,d^8+128\,a^{50}\,b^2\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}\,\left(-512\,a^{51}\,b^3\,d^9-5120\,a^{49}\,b^5\,d^9-22528\,a^{47}\,b^7\,d^9-56320\,a^{45}\,b^9\,d^9-84480\,a^{43}\,b^{11}\,d^9-67584\,a^{41}\,b^{13}\,d^9+67584\,a^{37}\,b^{17}\,d^9+84480\,a^{35}\,b^{19}\,d^9+56320\,a^{33}\,b^{21}\,d^9+22528\,a^{31}\,b^{23}\,d^9+5120\,a^{29}\,b^{25}\,d^9+512\,a^{27}\,b^{27}\,d^9\right)\right)\right)-800\,a^{21}\,b^{27}\,d^6-2080\,a^{23}\,b^{25}\,d^6+12928\,a^{25}\,b^{23}\,d^6+78464\,a^{27}\,b^{21}\,d^6+183616\,a^{29}\,b^{19}\,d^6+238400\,a^{31}\,b^{17}\,d^6+184960\,a^{33}\,b^{15}\,d^6+84608\,a^{35}\,b^{13}\,d^6+20704\,a^{37}\,b^{11}\,d^6+2016\,a^{39}\,b^9\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,a^{41}\,b^5\,d^5+224\,a^{39}\,b^7\,d^5+1968\,a^{37}\,b^9\,d^5+7744\,a^{35}\,b^{11}\,d^5+13760\,a^{33}\,b^{13}\,d^5+9472\,a^{31}\,b^{15}\,d^5-4256\,a^{29}\,b^{17}\,d^5-12352\,a^{27}\,b^{19}\,d^5-9056\,a^{25}\,b^{21}\,d^5-3040\,a^{23}\,b^{23}\,d^5-400\,a^{21}\,b^{25}\,d^5\right)\right)+544\,a^{26}\,b^{18}\,d^4+1520\,a^{28}\,b^{16}\,d^4+2240\,a^{30}\,b^{14}\,d^4+1840\,a^{32}\,b^{12}\,d^4+800\,a^{34}\,b^{10}\,d^4+144\,a^{36}\,b^8\,d^4\right)\,\sqrt{-\frac{1}{4\,\left(a^4\,d^2\,1{}\mathrm{i}-4\,a^3\,b\,d^2-a^2\,b^2\,d^2\,6{}\mathrm{i}+4\,a\,b^3\,d^2+b^4\,d^2\,1{}\mathrm{i}\right)}}+\frac{\mathrm{atan}\left(\frac{-a^{25}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{3/2}\,12{}\mathrm{i}+b^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{5/2}\,1250{}\mathrm{i}-a^{10}\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{5/2}\,1040{}\mathrm{i}+a^2\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{5/2}\,9000{}\mathrm{i}+a^4\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{5/2}\,24300{}\mathrm{i}+a^6\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{5/2}\,29160{}\mathrm{i}+a^8\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{5/2}\,12722{}\mathrm{i}-a^{19}\,b^6\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{3/2}\,144{}\mathrm{i}-a^{21}\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{3/2}\,1298{}\mathrm{i}-a^{23}\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-a^7\,b^7\right)}^{3/2}\,8{}\mathrm{i}+a^{34}\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^7}\,8{}\mathrm{i}+a^{36}\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^7}\,2{}\mathrm{i}}{2\,a^{40}\,b^6+8\,a^{38}\,b^8+12\,a^{36}\,b^{10}+8\,a^{34}\,b^{12}+1298\,a^{32}\,b^{14}+144\,a^{30}\,b^{16}-1040\,a^{28}\,b^{18}+12722\,a^{26}\,b^{20}+29160\,a^{24}\,b^{22}+24300\,a^{22}\,b^{24}+9000\,a^{20}\,b^{26}+1250\,a^{18}\,b^{28}}\right)\,\left(9\,a^2+5\,b^2\right)\,\sqrt{-a^7\,b^7}\,1{}\mathrm{i}}{d\,a^{11}+2\,d\,a^9\,b^2+d\,a^7\,b^4}","Not used",1,"((10*b*tan(c + d*x))/(3*a^2) - 2/(3*a) + (tan(c + d*x)^2*(5*b^4 + 4*a^2*b^2))/(a^3*(a^2 + b^2)))/(a*d*tan(c + d*x)^(3/2) + b*d*tan(c + d*x)^(5/2)) - atan(((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(3200*a^22*b^28*d^7 + 33920*a^24*b^26*d^7 + 158208*a^26*b^24*d^7 + 425536*a^28*b^22*d^7 + 727296*a^30*b^20*d^7 + 820672*a^32*b^18*d^7 + 615936*a^34*b^16*d^7 + 304256*a^36*b^14*d^7 + 98432*a^38*b^12*d^7 + 22016*a^40*b^10*d^7 + 3072*a^42*b^8*d^7 - 704*a^44*b^6*d^7 - 512*a^46*b^4*d^7 - 64*a^48*b^2*d^7) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(1280*a^24*b^28*d^8 + 13824*a^26*b^26*d^8 + 66944*a^28*b^24*d^8 + 190848*a^30*b^22*d^8 + 352640*a^32*b^20*d^8 + 435840*a^34*b^18*d^8 + 354048*a^36*b^16*d^8 + 169728*a^38*b^14*d^8 + 24576*a^40*b^12*d^8 - 21760*a^42*b^10*d^8 - 13440*a^44*b^8*d^8 - 2176*a^46*b^6*d^8 + 384*a^48*b^4*d^8 + 128*a^50*b^2*d^8 + tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^27*b^27*d^9 + 5120*a^29*b^25*d^9 + 22528*a^31*b^23*d^9 + 56320*a^33*b^21*d^9 + 84480*a^35*b^19*d^9 + 67584*a^37*b^17*d^9 - 67584*a^41*b^13*d^9 - 84480*a^43*b^11*d^9 - 56320*a^45*b^9*d^9 - 22528*a^47*b^7*d^9 - 5120*a^49*b^5*d^9 - 512*a^51*b^3*d^9))) - 800*a^21*b^27*d^6 - 2080*a^23*b^25*d^6 + 12928*a^25*b^23*d^6 + 78464*a^27*b^21*d^6 + 183616*a^29*b^19*d^6 + 238400*a^31*b^17*d^6 + 184960*a^33*b^15*d^6 + 84608*a^35*b^13*d^6 + 20704*a^37*b^11*d^6 + 2016*a^39*b^9*d^6) - tan(c + d*x)^(1/2)*(9472*a^31*b^15*d^5 - 3040*a^23*b^23*d^5 - 9056*a^25*b^21*d^5 - 12352*a^27*b^19*d^5 - 4256*a^29*b^17*d^5 - 400*a^21*b^25*d^5 + 13760*a^33*b^13*d^5 + 7744*a^35*b^11*d^5 + 1968*a^37*b^9*d^5 + 224*a^39*b^7*d^5 + 32*a^41*b^5*d^5))*1i - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(12928*a^25*b^23*d^6 - 800*a^21*b^27*d^6 - 2080*a^23*b^25*d^6 - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(3200*a^22*b^28*d^7 + 33920*a^24*b^26*d^7 + 158208*a^26*b^24*d^7 + 425536*a^28*b^22*d^7 + 727296*a^30*b^20*d^7 + 820672*a^32*b^18*d^7 + 615936*a^34*b^16*d^7 + 304256*a^36*b^14*d^7 + 98432*a^38*b^12*d^7 + 22016*a^40*b^10*d^7 + 3072*a^42*b^8*d^7 - 704*a^44*b^6*d^7 - 512*a^46*b^4*d^7 - 64*a^48*b^2*d^7) + (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(1280*a^24*b^28*d^8 + 13824*a^26*b^26*d^8 + 66944*a^28*b^24*d^8 + 190848*a^30*b^22*d^8 + 352640*a^32*b^20*d^8 + 435840*a^34*b^18*d^8 + 354048*a^36*b^16*d^8 + 169728*a^38*b^14*d^8 + 24576*a^40*b^12*d^8 - 21760*a^42*b^10*d^8 - 13440*a^44*b^8*d^8 - 2176*a^46*b^6*d^8 + 384*a^48*b^4*d^8 + 128*a^50*b^2*d^8 - tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^27*b^27*d^9 + 5120*a^29*b^25*d^9 + 22528*a^31*b^23*d^9 + 56320*a^33*b^21*d^9 + 84480*a^35*b^19*d^9 + 67584*a^37*b^17*d^9 - 67584*a^41*b^13*d^9 - 84480*a^43*b^11*d^9 - 56320*a^45*b^9*d^9 - 22528*a^47*b^7*d^9 - 5120*a^49*b^5*d^9 - 512*a^51*b^3*d^9))) + 78464*a^27*b^21*d^6 + 183616*a^29*b^19*d^6 + 238400*a^31*b^17*d^6 + 184960*a^33*b^15*d^6 + 84608*a^35*b^13*d^6 + 20704*a^37*b^11*d^6 + 2016*a^39*b^9*d^6) + tan(c + d*x)^(1/2)*(9472*a^31*b^15*d^5 - 3040*a^23*b^23*d^5 - 9056*a^25*b^21*d^5 - 12352*a^27*b^19*d^5 - 4256*a^29*b^17*d^5 - 400*a^21*b^25*d^5 + 13760*a^33*b^13*d^5 + 7744*a^35*b^11*d^5 + 1968*a^37*b^9*d^5 + 224*a^39*b^7*d^5 + 32*a^41*b^5*d^5))*1i)/(160*a^24*b^20*d^4 - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(12928*a^25*b^23*d^6 - 800*a^21*b^27*d^6 - 2080*a^23*b^25*d^6 - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(3200*a^22*b^28*d^7 + 33920*a^24*b^26*d^7 + 158208*a^26*b^24*d^7 + 425536*a^28*b^22*d^7 + 727296*a^30*b^20*d^7 + 820672*a^32*b^18*d^7 + 615936*a^34*b^16*d^7 + 304256*a^36*b^14*d^7 + 98432*a^38*b^12*d^7 + 22016*a^40*b^10*d^7 + 3072*a^42*b^8*d^7 - 704*a^44*b^6*d^7 - 512*a^46*b^4*d^7 - 64*a^48*b^2*d^7) + (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(1280*a^24*b^28*d^8 + 13824*a^26*b^26*d^8 + 66944*a^28*b^24*d^8 + 190848*a^30*b^22*d^8 + 352640*a^32*b^20*d^8 + 435840*a^34*b^18*d^8 + 354048*a^36*b^16*d^8 + 169728*a^38*b^14*d^8 + 24576*a^40*b^12*d^8 - 21760*a^42*b^10*d^8 - 13440*a^44*b^8*d^8 - 2176*a^46*b^6*d^8 + 384*a^48*b^4*d^8 + 128*a^50*b^2*d^8 - tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^27*b^27*d^9 + 5120*a^29*b^25*d^9 + 22528*a^31*b^23*d^9 + 56320*a^33*b^21*d^9 + 84480*a^35*b^19*d^9 + 67584*a^37*b^17*d^9 - 67584*a^41*b^13*d^9 - 84480*a^43*b^11*d^9 - 56320*a^45*b^9*d^9 - 22528*a^47*b^7*d^9 - 5120*a^49*b^5*d^9 - 512*a^51*b^3*d^9))) + 78464*a^27*b^21*d^6 + 183616*a^29*b^19*d^6 + 238400*a^31*b^17*d^6 + 184960*a^33*b^15*d^6 + 84608*a^35*b^13*d^6 + 20704*a^37*b^11*d^6 + 2016*a^39*b^9*d^6) + tan(c + d*x)^(1/2)*(9472*a^31*b^15*d^5 - 3040*a^23*b^23*d^5 - 9056*a^25*b^21*d^5 - 12352*a^27*b^19*d^5 - 4256*a^29*b^17*d^5 - 400*a^21*b^25*d^5 + 13760*a^33*b^13*d^5 + 7744*a^35*b^11*d^5 + 1968*a^37*b^9*d^5 + 224*a^39*b^7*d^5 + 32*a^41*b^5*d^5)) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*((-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(tan(c + d*x)^(1/2)*(3200*a^22*b^28*d^7 + 33920*a^24*b^26*d^7 + 158208*a^26*b^24*d^7 + 425536*a^28*b^22*d^7 + 727296*a^30*b^20*d^7 + 820672*a^32*b^18*d^7 + 615936*a^34*b^16*d^7 + 304256*a^36*b^14*d^7 + 98432*a^38*b^12*d^7 + 22016*a^40*b^10*d^7 + 3072*a^42*b^8*d^7 - 704*a^44*b^6*d^7 - 512*a^46*b^4*d^7 - 64*a^48*b^2*d^7) - (-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(1280*a^24*b^28*d^8 + 13824*a^26*b^26*d^8 + 66944*a^28*b^24*d^8 + 190848*a^30*b^22*d^8 + 352640*a^32*b^20*d^8 + 435840*a^34*b^18*d^8 + 354048*a^36*b^16*d^8 + 169728*a^38*b^14*d^8 + 24576*a^40*b^12*d^8 - 21760*a^42*b^10*d^8 - 13440*a^44*b^8*d^8 - 2176*a^46*b^6*d^8 + 384*a^48*b^4*d^8 + 128*a^50*b^2*d^8 + tan(c + d*x)^(1/2)*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*(512*a^27*b^27*d^9 + 5120*a^29*b^25*d^9 + 22528*a^31*b^23*d^9 + 56320*a^33*b^21*d^9 + 84480*a^35*b^19*d^9 + 67584*a^37*b^17*d^9 - 67584*a^41*b^13*d^9 - 84480*a^43*b^11*d^9 - 56320*a^45*b^9*d^9 - 22528*a^47*b^7*d^9 - 5120*a^49*b^5*d^9 - 512*a^51*b^3*d^9))) - 800*a^21*b^27*d^6 - 2080*a^23*b^25*d^6 + 12928*a^25*b^23*d^6 + 78464*a^27*b^21*d^6 + 183616*a^29*b^19*d^6 + 238400*a^31*b^17*d^6 + 184960*a^33*b^15*d^6 + 84608*a^35*b^13*d^6 + 20704*a^37*b^11*d^6 + 2016*a^39*b^9*d^6) - tan(c + d*x)^(1/2)*(9472*a^31*b^15*d^5 - 3040*a^23*b^23*d^5 - 9056*a^25*b^21*d^5 - 12352*a^27*b^19*d^5 - 4256*a^29*b^17*d^5 - 400*a^21*b^25*d^5 + 13760*a^33*b^13*d^5 + 7744*a^35*b^11*d^5 + 1968*a^37*b^9*d^5 + 224*a^39*b^7*d^5 + 32*a^41*b^5*d^5)) + 1088*a^26*b^18*d^4 + 3040*a^28*b^16*d^4 + 4480*a^30*b^14*d^4 + 3680*a^32*b^12*d^4 + 1600*a^34*b^10*d^4 + 288*a^36*b^8*d^4))*(-1i/(4*(a^4*d^2 + b^4*d^2 + a*b^3*d^2*4i - a^3*b*d^2*4i - 6*a^2*b^2*d^2)))^(1/2)*2i + (log(80*a^24*b^20*d^4 - ((((-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(12928*a^25*b^23*d^6 - 800*a^21*b^27*d^6 - 2080*a^23*b^25*d^6 - ((-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(tan(c + d*x)^(1/2)*(3200*a^22*b^28*d^7 + 33920*a^24*b^26*d^7 + 158208*a^26*b^24*d^7 + 425536*a^28*b^22*d^7 + 727296*a^30*b^20*d^7 + 820672*a^32*b^18*d^7 + 615936*a^34*b^16*d^7 + 304256*a^36*b^14*d^7 + 98432*a^38*b^12*d^7 + 22016*a^40*b^10*d^7 + 3072*a^42*b^8*d^7 - 704*a^44*b^6*d^7 - 512*a^46*b^4*d^7 - 64*a^48*b^2*d^7) + ((-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(1280*a^24*b^28*d^8 + 13824*a^26*b^26*d^8 + 66944*a^28*b^24*d^8 + 190848*a^30*b^22*d^8 + 352640*a^32*b^20*d^8 + 435840*a^34*b^18*d^8 + 354048*a^36*b^16*d^8 + 169728*a^38*b^14*d^8 + 24576*a^40*b^12*d^8 - 21760*a^42*b^10*d^8 - 13440*a^44*b^8*d^8 - 2176*a^46*b^6*d^8 + 384*a^48*b^4*d^8 + 128*a^50*b^2*d^8 - (tan(c + d*x)^(1/2)*(-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2)*(512*a^27*b^27*d^9 + 5120*a^29*b^25*d^9 + 22528*a^31*b^23*d^9 + 56320*a^33*b^21*d^9 + 84480*a^35*b^19*d^9 + 67584*a^37*b^17*d^9 - 67584*a^41*b^13*d^9 - 84480*a^43*b^11*d^9 - 56320*a^45*b^9*d^9 - 22528*a^47*b^7*d^9 - 5120*a^49*b^5*d^9 - 512*a^51*b^3*d^9))/2))/2))/2 + 78464*a^27*b^21*d^6 + 183616*a^29*b^19*d^6 + 238400*a^31*b^17*d^6 + 184960*a^33*b^15*d^6 + 84608*a^35*b^13*d^6 + 20704*a^37*b^11*d^6 + 2016*a^39*b^9*d^6))/2 + tan(c + d*x)^(1/2)*(9472*a^31*b^15*d^5 - 3040*a^23*b^23*d^5 - 9056*a^25*b^21*d^5 - 12352*a^27*b^19*d^5 - 4256*a^29*b^17*d^5 - 400*a^21*b^25*d^5 + 13760*a^33*b^13*d^5 + 7744*a^35*b^11*d^5 + 1968*a^37*b^9*d^5 + 224*a^39*b^7*d^5 + 32*a^41*b^5*d^5))*(-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 + 544*a^26*b^18*d^4 + 1520*a^28*b^16*d^4 + 2240*a^30*b^14*d^4 + 1840*a^32*b^12*d^4 + 800*a^34*b^10*d^4 + 144*a^36*b^8*d^4)*(-1/(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i))^(1/2))/2 - log(80*a^24*b^20*d^4 - (-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2)*((-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2)*((-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2)*(tan(c + d*x)^(1/2)*(3200*a^22*b^28*d^7 + 33920*a^24*b^26*d^7 + 158208*a^26*b^24*d^7 + 425536*a^28*b^22*d^7 + 727296*a^30*b^20*d^7 + 820672*a^32*b^18*d^7 + 615936*a^34*b^16*d^7 + 304256*a^36*b^14*d^7 + 98432*a^38*b^12*d^7 + 22016*a^40*b^10*d^7 + 3072*a^42*b^8*d^7 - 704*a^44*b^6*d^7 - 512*a^46*b^4*d^7 - 64*a^48*b^2*d^7) - (-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2)*(1280*a^24*b^28*d^8 + 13824*a^26*b^26*d^8 + 66944*a^28*b^24*d^8 + 190848*a^30*b^22*d^8 + 352640*a^32*b^20*d^8 + 435840*a^34*b^18*d^8 + 354048*a^36*b^16*d^8 + 169728*a^38*b^14*d^8 + 24576*a^40*b^12*d^8 - 21760*a^42*b^10*d^8 - 13440*a^44*b^8*d^8 - 2176*a^46*b^6*d^8 + 384*a^48*b^4*d^8 + 128*a^50*b^2*d^8 + tan(c + d*x)^(1/2)*(-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2)*(512*a^27*b^27*d^9 + 5120*a^29*b^25*d^9 + 22528*a^31*b^23*d^9 + 56320*a^33*b^21*d^9 + 84480*a^35*b^19*d^9 + 67584*a^37*b^17*d^9 - 67584*a^41*b^13*d^9 - 84480*a^43*b^11*d^9 - 56320*a^45*b^9*d^9 - 22528*a^47*b^7*d^9 - 5120*a^49*b^5*d^9 - 512*a^51*b^3*d^9))) - 800*a^21*b^27*d^6 - 2080*a^23*b^25*d^6 + 12928*a^25*b^23*d^6 + 78464*a^27*b^21*d^6 + 183616*a^29*b^19*d^6 + 238400*a^31*b^17*d^6 + 184960*a^33*b^15*d^6 + 84608*a^35*b^13*d^6 + 20704*a^37*b^11*d^6 + 2016*a^39*b^9*d^6) - tan(c + d*x)^(1/2)*(9472*a^31*b^15*d^5 - 3040*a^23*b^23*d^5 - 9056*a^25*b^21*d^5 - 12352*a^27*b^19*d^5 - 4256*a^29*b^17*d^5 - 400*a^21*b^25*d^5 + 13760*a^33*b^13*d^5 + 7744*a^35*b^11*d^5 + 1968*a^37*b^9*d^5 + 224*a^39*b^7*d^5 + 32*a^41*b^5*d^5)) + 544*a^26*b^18*d^4 + 1520*a^28*b^16*d^4 + 2240*a^30*b^14*d^4 + 1840*a^32*b^12*d^4 + 800*a^34*b^10*d^4 + 144*a^36*b^8*d^4)*(-1/(4*(a^4*d^2*1i + b^4*d^2*1i + 4*a*b^3*d^2 - 4*a^3*b*d^2 - a^2*b^2*d^2*6i)))^(1/2) + (atan((b^11*tan(c + d*x)^(1/2)*(-a^7*b^7)^(5/2)*1250i - a^25*tan(c + d*x)^(1/2)*(-a^7*b^7)^(3/2)*12i - a^10*b*tan(c + d*x)^(1/2)*(-a^7*b^7)^(5/2)*1040i + a^2*b^9*tan(c + d*x)^(1/2)*(-a^7*b^7)^(5/2)*9000i + a^4*b^7*tan(c + d*x)^(1/2)*(-a^7*b^7)^(5/2)*24300i + a^6*b^5*tan(c + d*x)^(1/2)*(-a^7*b^7)^(5/2)*29160i + a^8*b^3*tan(c + d*x)^(1/2)*(-a^7*b^7)^(5/2)*12722i - a^19*b^6*tan(c + d*x)^(1/2)*(-a^7*b^7)^(3/2)*144i - a^21*b^4*tan(c + d*x)^(1/2)*(-a^7*b^7)^(3/2)*1298i - a^23*b^2*tan(c + d*x)^(1/2)*(-a^7*b^7)^(3/2)*8i + a^34*b^5*tan(c + d*x)^(1/2)*(-a^7*b^7)^(1/2)*8i + a^36*b^3*tan(c + d*x)^(1/2)*(-a^7*b^7)^(1/2)*2i)/(1250*a^18*b^28 + 9000*a^20*b^26 + 24300*a^22*b^24 + 29160*a^24*b^22 + 12722*a^26*b^20 - 1040*a^28*b^18 + 144*a^30*b^16 + 1298*a^32*b^14 + 8*a^34*b^12 + 12*a^36*b^10 + 8*a^38*b^8 + 2*a^40*b^6))*(9*a^2 + 5*b^2)*(-a^7*b^7)^(1/2)*1i)/(a^11*d + a^7*b^4*d + 2*a^9*b^2*d)","B"
599,1,18832,493,20.447233,"\text{Not used}","int(tan(c + d*x)^(11/2)/(a + b*tan(c + d*x))^3,x)","\frac{2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,b^3\,d}-\mathrm{atan}\left(\frac{\left(\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}-\frac{\left(\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{4\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}-\frac{\left(\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{4\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\frac{1225\,a^{16}\,b+7140\,a^{14}\,b^3+17334\,a^{12}\,b^5+19916\,a^{10}\,b^7+8705\,a^8\,b^9-1608\,a^6\,b^{11}-792\,a^4\,b^{13}}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\left(\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}-\frac{\left(\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{4\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}+\left(\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}-\frac{\left(\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{2\,\left(a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{4\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{2\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(13\,a^6\,b+21\,a^4\,b^3\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(11\,a^6+19\,a^4\,b^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,a^2\,b^4+2\,d\,a\,b^5\,\mathrm{tan}\left(c+d\,x\right)+d\,b^6\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\left(\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{1225\,a^{16}\,b+7140\,a^{14}\,b^3+17334\,a^{12}\,b^5+19916\,a^{10}\,b^7+8705\,a^8\,b^9-1608\,a^6\,b^{11}-792\,a^4\,b^{13}}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}-\frac{6\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^4\,d}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}+\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}+\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}-\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}-\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}}{\frac{1225\,a^{16}\,b+7140\,a^{14}\,b^3+17334\,a^{12}\,b^5+19916\,a^{10}\,b^7+8705\,a^8\,b^9-1608\,a^6\,b^{11}-792\,a^4\,b^{13}}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}+\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}+\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1225\,a^{20}-210\,a^{18}\,b^2-24281\,a^{16}\,b^4-76668\,a^{14}\,b^6-94041\,a^{12}\,b^8-38610\,a^{10}\,b^{10}+9833\,a^8\,b^{12}+128\,a^6\,b^{14}+192\,a^4\,b^{16}+128\,a^2\,b^{18}+32\,b^{20}\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}-\frac{\left(\frac{-2450\,a^{23}\,d^2+7770\,a^{21}\,b^2\,d^2+106102\,a^{19}\,b^4\,d^2+330770\,a^{17}\,b^6\,d^2+452586\,a^{15}\,b^8\,d^2+208974\,a^{13}\,b^{10}\,d^2-146126\,a^{11}\,b^{12}\,d^2-180858\,a^9\,b^{14}\,d^2-24128\,a^7\,b^{16}\,d^2+19488\,a^5\,b^{18}\,d^2+192\,a^3\,b^{20}\,d^2+32\,a\,b^{22}\,d^2}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9800\,a^{25}\,b\,d^2+96320\,a^{23}\,b^3\,d^2+425952\,a^{21}\,b^5\,d^2+1098176\,a^{19}\,b^7\,d^2+1794928\,a^{17}\,b^9\,d^2+1894848\,a^{15}\,b^{11}\,d^2+1258208\,a^{13}\,b^{13}\,d^2+480320\,a^{11}\,b^{15}\,d^2+74440\,a^9\,b^{17}\,d^2-14336\,a^7\,b^{19}\,d^2-8448\,a^5\,b^{21}\,d^2+1024\,a^3\,b^{23}\,d^2+1472\,a\,b^{25}\,d^2\right)}{a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4}-\frac{\left(\frac{2240\,a^{22}\,b^7\,d^4+22336\,a^{20}\,b^9\,d^4+98688\,a^{18}\,b^{11}\,d^4+254208\,a^{16}\,b^{13}\,d^4+422016\,a^{14}\,b^{15}\,d^4+470400\,a^{12}\,b^{17}\,d^4+354816\,a^{10}\,b^{19}\,d^4+177408\,a^8\,b^{21}\,d^4+55488\,a^6\,b^{23}\,d^4+9536\,a^4\,b^{25}\,d^4+640\,a^2\,b^{27}\,d^4}{a^{16}\,b^7\,d^5+8\,a^{14}\,b^9\,d^5+28\,a^{12}\,b^{11}\,d^5+56\,a^{10}\,b^{13}\,d^5+70\,a^8\,b^{15}\,d^5+56\,a^6\,b^{17}\,d^5+28\,a^4\,b^{19}\,d^5+8\,a^2\,b^{21}\,d^5+b^{23}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)\,\left(-512\,a^{22}\,b^{10}\,d^4-4608\,a^{20}\,b^{12}\,d^4-17920\,a^{18}\,b^{14}\,d^4-38400\,a^{16}\,b^{16}\,d^4-46080\,a^{14}\,b^{18}\,d^4-21504\,a^{12}\,b^{20}\,d^4+21504\,a^{10}\,b^{22}\,d^4+46080\,a^8\,b^{24}\,d^4+38400\,a^6\,b^{26}\,d^4+17920\,a^4\,b^{28}\,d^4+4608\,a^2\,b^{30}\,d^4+512\,b^{32}\,d^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)\,\left(a^{16}\,b^7\,d^4+8\,a^{14}\,b^9\,d^4+28\,a^{12}\,b^{11}\,d^4+56\,a^{10}\,b^{13}\,d^4+70\,a^8\,b^{15}\,d^4+56\,a^6\,b^{17}\,d^4+28\,a^4\,b^{19}\,d^4+8\,a^2\,b^{21}\,d^4+b^{23}\,d^4\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)}{8\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}}\right)\,\sqrt{-a^7\,b^9}\,\left(35\,a^4+102\,a^2\,b^2+99\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^6\,b^9+3\,d\,a^4\,b^{11}+3\,d\,a^2\,b^{13}+d\,b^{15}\right)}","Not used",1,"(2*tan(c + d*x)^(3/2))/(3*b^3*d) - atan((((((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) - (((((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(4*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i - ((((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) - (((((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(4*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i)/((1225*a^16*b - 792*a^4*b^13 - 1608*a^6*b^11 + 8705*a^8*b^9 + 19916*a^10*b^7 + 17334*a^12*b^5 + 7140*a^14*b^3)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + ((((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) - (((((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(4*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) + ((((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) - (((((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(2*(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(4*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(2*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i - ((tan(c + d*x)^(3/2)*(13*a^6*b + 21*a^4*b^3))/(4*(a^4 + b^4 + 2*a^2*b^2)) + (a*tan(c + d*x)^(1/2)*(11*a^6 + 19*a^4*b^2))/(4*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*b^4*d + b^6*d*tan(c + d*x)^2 + 2*a*b^5*d*tan(c + d*x)) - atan(((((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i - (((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i)/((((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (1225*a^16*b - 792*a^4*b^13 - 1608*a^6*b^11 + 8705*a^8*b^9 + 19916*a^10*b^7 + 17334*a^12*b^5 + 7140*a^14*b^3)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i - (6*a*tan(c + d*x)^(1/2))/(b^4*d) - (atan(((((tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) + (((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (((tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) + (((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2)*1i)/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)) + (((tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) - (((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + (((tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) - (((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2)*1i)/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))/((1225*a^16*b - 792*a^4*b^13 - 1608*a^6*b^11 + 8705*a^8*b^9 + 19916*a^10*b^7 + 17334*a^12*b^5 + 7140*a^14*b^3)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + (((tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) + (((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (((tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) + (((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) - (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)) - (((tan(c + d*x)^(1/2)*(1225*a^20 + 32*b^20 + 128*a^2*b^18 + 192*a^4*b^16 + 128*a^6*b^14 + 9833*a^8*b^12 - 38610*a^10*b^10 - 94041*a^12*b^8 - 76668*a^14*b^6 - 24281*a^16*b^4 - 210*a^18*b^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) - (((32*a*b^22*d^2 - 2450*a^23*d^2 + 192*a^3*b^20*d^2 + 19488*a^5*b^18*d^2 - 24128*a^7*b^16*d^2 - 180858*a^9*b^14*d^2 - 146126*a^11*b^12*d^2 + 208974*a^13*b^10*d^2 + 452586*a^15*b^8*d^2 + 330770*a^17*b^6*d^2 + 106102*a^19*b^4*d^2 + 7770*a^21*b^2*d^2)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + (((tan(c + d*x)^(1/2)*(1472*a*b^25*d^2 + 9800*a^25*b*d^2 + 1024*a^3*b^23*d^2 - 8448*a^5*b^21*d^2 - 14336*a^7*b^19*d^2 + 74440*a^9*b^17*d^2 + 480320*a^11*b^15*d^2 + 1258208*a^13*b^13*d^2 + 1894848*a^15*b^11*d^2 + 1794928*a^17*b^9*d^2 + 1098176*a^19*b^7*d^2 + 425952*a^21*b^5*d^2 + 96320*a^23*b^3*d^2))/(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4) - (((640*a^2*b^27*d^4 + 9536*a^4*b^25*d^4 + 55488*a^6*b^23*d^4 + 177408*a^8*b^21*d^4 + 354816*a^10*b^19*d^4 + 470400*a^12*b^17*d^4 + 422016*a^14*b^15*d^4 + 254208*a^16*b^13*d^4 + 98688*a^18*b^11*d^4 + 22336*a^20*b^9*d^4 + 2240*a^22*b^7*d^4)/(b^23*d^5 + 8*a^2*b^21*d^5 + 28*a^4*b^19*d^5 + 56*a^6*b^17*d^5 + 70*a^8*b^15*d^5 + 56*a^10*b^13*d^5 + 28*a^12*b^11*d^5 + 8*a^14*b^9*d^5 + a^16*b^7*d^5) + (tan(c + d*x)^(1/2)*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2)*(512*b^32*d^4 + 4608*a^2*b^30*d^4 + 17920*a^4*b^28*d^4 + 38400*a^6*b^26*d^4 + 46080*a^8*b^24*d^4 + 21504*a^10*b^22*d^4 - 21504*a^12*b^20*d^4 - 46080*a^14*b^18*d^4 - 38400*a^16*b^16*d^4 - 17920*a^18*b^14*d^4 - 4608*a^20*b^12*d^4 - 512*a^22*b^10*d^4))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)*(b^23*d^4 + 8*a^2*b^21*d^4 + 28*a^4*b^19*d^4 + 56*a^6*b^17*d^4 + 70*a^8*b^15*d^4 + 56*a^10*b^13*d^4 + 28*a^12*b^11*d^4 + 8*a^14*b^9*d^4 + a^16*b^7*d^4)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d)))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2))/(8*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d))))*(-a^7*b^9)^(1/2)*(35*a^4 + 99*b^4 + 102*a^2*b^2)*1i)/(4*(b^15*d + 3*a^2*b^13*d + 3*a^4*b^11*d + a^6*b^9*d))","B"
600,1,13319,444,20.800449,"\text{Not used}","int(tan(c + d*x)^(9/2)/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,a\,b\,\left(15\,a^4+41\,a^2\,b^2+2\,b^4\right)}{d}-256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{8\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(225\,a^{14}+1380\,a^{12}\,b^2+4006\,a^{10}\,b^4+5804\,a^8\,b^6+3937\,a^6\,b^8-272\,a^4\,b^{10}+608\,a^2\,b^{12}-184\,b^{14}\right)}{b^4\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{2\,a^2\,\left(1125\,a^{14}+3525\,a^{12}\,b^2+2930\,a^{10}\,b^4-11174\,a^8\,b^6-23239\,a^6\,b^8-17727\,a^4\,b^{10}+6112\,a^2\,b^{12}+16\,b^{14}\right)}{b^4\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{b^5\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{a^3\,\left(225\,a^{12}+1380\,a^{10}\,b^2+4006\,a^8\,b^4+5916\,a^6\,b^6+4457\,a^4\,b^8+872\,a^2\,b^{10}+504\,b^{12}\right)}{2\,b^5\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,a\,b\,\left(15\,a^4+41\,a^2\,b^2+2\,b^4\right)}{d}+256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{8\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(225\,a^{14}+1380\,a^{12}\,b^2+4006\,a^{10}\,b^4+5804\,a^8\,b^6+3937\,a^6\,b^8-272\,a^4\,b^{10}+608\,a^2\,b^{12}-184\,b^{14}\right)}{b^4\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{2\,a^2\,\left(1125\,a^{14}+3525\,a^{12}\,b^2+2930\,a^{10}\,b^4-11174\,a^8\,b^6-23239\,a^6\,b^8-17727\,a^4\,b^{10}+6112\,a^2\,b^{12}+16\,b^{14}\right)}{b^4\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{b^5\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{a^3\,\left(225\,a^{12}+1380\,a^{10}\,b^2+4006\,a^8\,b^4+5916\,a^6\,b^6+4457\,a^4\,b^8+872\,a^2\,b^{10}+504\,b^{12}\right)}{2\,b^5\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}-\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)\,1{}\mathrm{i}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}\right)+\frac{225\,a^{15}+1380\,a^{13}\,b^2+4006\,a^{11}\,b^4+5916\,a^9\,b^6+4457\,a^7\,b^8+872\,a^5\,b^{10}+504\,a^3\,b^{12}}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(9\,a^5\,b+17\,a^3\,b^3\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(7\,a^5+15\,a^3\,b^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,a^2\,b^3+2\,d\,a\,b^4\,\mathrm{tan}\left(c+d\,x\right)+d\,b^5\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\frac{2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}-\frac{\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}+\frac{\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)\,\left(a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}+\frac{\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}-\frac{\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)\,\left(a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}}{\frac{225\,a^{15}+1380\,a^{13}\,b^2+4006\,a^{11}\,b^4+5916\,a^9\,b^6+4457\,a^7\,b^8+872\,a^5\,b^{10}+504\,a^3\,b^{12}}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}-\frac{\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}+\frac{\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)\,\left(a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{18}-30\,a^{16}\,b^2+4049\,a^{14}\,b^4+16860\,a^{12}\,b^6+26801\,a^{10}\,b^8+18050\,a^8\,b^{10}-3841\,a^6\,b^{12}+192\,a^4\,b^{14}+128\,a^2\,b^{16}+32\,b^{18}\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}+\frac{\left(\frac{2250\,a^{20}\,b\,d^2+11550\,a^{18}\,b^3\,d^2+22210\,a^{16}\,b^5\,d^2-3578\,a^{14}\,b^7\,d^2-85314\,a^{12}\,b^9\,d^2-150758\,a^{10}\,b^{11}\,d^2-105162\,a^8\,b^{13}\,d^2-10974\,a^6\,b^{15}\,d^2+12288\,a^4\,b^{17}\,d^2+32\,a^2\,b^{19}\,d^2}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,a^{23}\,b\,d^2+18240\,a^{21}\,b^3\,d^2+87008\,a^{19}\,b^5\,d^2+248064\,a^{17}\,b^7\,d^2+455472\,a^{15}\,b^9\,d^2+541632\,a^{13}\,b^{11}\,d^2+402912\,a^{11}\,b^{13}\,d^2+177344\,a^9\,b^{15}\,d^2+46088\,a^7\,b^{17}\,d^2+8448\,a^5\,b^{19}\,d^2-1024\,a^3\,b^{21}\,d^2-1472\,a\,b^{23}\,d^2\right)}{a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4}-\frac{\left(\frac{960\,a^{21}\,b^6\,d^4+10304\,a^{19}\,b^8\,d^4+48000\,a^{17}\,b^{10}\,d^4+128256\,a^{15}\,b^{12}\,d^4+217728\,a^{13}\,b^{14}\,d^4+244608\,a^{11}\,b^{16}\,d^4+182784\,a^9\,b^{18}\,d^4+88320\,a^7\,b^{20}\,d^4+25536\,a^5\,b^{22}\,d^4+3648\,a^3\,b^{24}\,d^4+128\,a\,b^{26}\,d^4}{a^{16}\,b^5\,d^5+8\,a^{14}\,b^7\,d^5+28\,a^{12}\,b^9\,d^5+56\,a^{10}\,b^{11}\,d^5+70\,a^8\,b^{13}\,d^5+56\,a^6\,b^{15}\,d^5+28\,a^4\,b^{17}\,d^5+8\,a^2\,b^{19}\,d^5+b^{21}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)\,\left(-512\,a^{22}\,b^8\,d^4-4608\,a^{20}\,b^{10}\,d^4-17920\,a^{18}\,b^{12}\,d^4-38400\,a^{16}\,b^{14}\,d^4-46080\,a^{14}\,b^{16}\,d^4-21504\,a^{12}\,b^{18}\,d^4+21504\,a^{10}\,b^{20}\,d^4+46080\,a^8\,b^{22}\,d^4+38400\,a^6\,b^{24}\,d^4+17920\,a^4\,b^{26}\,d^4+4608\,a^2\,b^{28}\,d^4+512\,b^{30}\,d^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)\,\left(a^{16}\,b^5\,d^4+8\,a^{14}\,b^7\,d^4+28\,a^{12}\,b^9\,d^4+56\,a^{10}\,b^{11}\,d^4+70\,a^8\,b^{13}\,d^4+56\,a^6\,b^{15}\,d^4+28\,a^4\,b^{17}\,d^4+8\,a^2\,b^{19}\,d^4+b^{21}\,d^4\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)}{8\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}}\right)\,\sqrt{-a^5\,b^7}\,\left(15\,a^4+46\,a^2\,b^2+63\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^6\,b^7+3\,d\,a^4\,b^9+3\,d\,a^2\,b^{11}+d\,b^{13}\right)}","Not used",1,"(log(- (((((((((64*a*b*(15*a^4 + 2*b^4 + 41*a^2*b^2))/d - 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^6))^(1/2))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (8*a*tan(c + d*x)^(1/2)*(225*a^14 - 184*b^14 + 608*a^2*b^12 - 272*a^4*b^10 + 3937*a^6*b^8 + 5804*a^8*b^6 + 4006*a^10*b^4 + 1380*a^12*b^2))/(b^4*d^2*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (2*a^2*(1125*a^14 + 16*b^14 + 6112*a^2*b^12 - 17727*a^4*b^10 - 23239*a^6*b^8 - 11174*a^8*b^6 + 2930*a^10*b^4 + 3525*a^12*b^2))/(b^4*d^3*(a^2 + b^2)^6))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^5*d^4*(a^2 + b^2)^8))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (a^3*(225*a^12 + 504*b^12 + 872*a^2*b^10 + 4457*a^4*b^8 + 5916*a^6*b^6 + 4006*a^8*b^4 + 1380*a^10*b^2))/(2*b^5*d^5*(a^2 + b^2)^8))*(-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - log(- (((((((((64*a*b*(15*a^4 + 2*b^4 + 41*a^2*b^2))/d + 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^6))^(1/2))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (8*a*tan(c + d*x)^(1/2)*(225*a^14 - 184*b^14 + 608*a^2*b^12 - 272*a^4*b^10 + 3937*a^6*b^8 + 5804*a^8*b^6 + 4006*a^10*b^4 + 1380*a^12*b^2))/(b^4*d^2*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (2*a^2*(1125*a^14 + 16*b^14 + 6112*a^2*b^12 - 17727*a^4*b^10 - 23239*a^6*b^8 - 11174*a^8*b^6 + 2930*a^10*b^4 + 3525*a^12*b^2))/(b^4*d^3*(a^2 + b^2)^6))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^5*d^4*(a^2 + b^2)^8))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (a^3*(225*a^12 + 504*b^12 + 872*a^2*b^10 + 4457*a^4*b^8 + 5916*a^6*b^6 + 4006*a^8*b^4 + 1380*a^10*b^2))/(2*b^5*d^5*(a^2 + b^2)^8))*(-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2) - atan(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)) - (tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4))) + (tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4))*1i - (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) - (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)) + (tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4))) - (tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4))*1i)/((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)) - (tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4))) + (tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) - (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)) + (tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4))) - (tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)) + (225*a^15 + 504*a^3*b^12 + 872*a^5*b^10 + 4457*a^7*b^8 + 5916*a^9*b^6 + 4006*a^11*b^4 + 1380*a^13*b^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5)))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i + ((tan(c + d*x)^(3/2)*(9*a^5*b + 17*a^3*b^3))/(4*(a^4 + b^4 + 2*a^2*b^2)) + (a*tan(c + d*x)^(1/2)*(7*a^5 + 15*a^3*b^2))/(4*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*b^3*d + b^5*d*tan(c + d*x)^2 + 2*a*b^4*d*tan(c + d*x)) + (2*tan(c + d*x)^(1/2))/(b^3*d) - (atan(((((tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) - (((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (((tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) + (((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) - (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)*(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2)*1i)/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)) + (((tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) + (((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) - (((tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) - (((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)*(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2)*1i)/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))/((225*a^15 + 504*a^3*b^12 + 872*a^5*b^10 + 4457*a^7*b^8 + 5916*a^9*b^6 + 4006*a^11*b^4 + 1380*a^13*b^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) - (((tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) - (((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (((tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) + (((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) - (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)*(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)) + (((tan(c + d*x)^(1/2)*(32*b^18 - 225*a^18 + 128*a^2*b^16 + 192*a^4*b^14 - 3841*a^6*b^12 + 18050*a^8*b^10 + 26801*a^10*b^8 + 16860*a^12*b^6 + 4049*a^14*b^4 - 30*a^16*b^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) + (((2250*a^20*b*d^2 + 32*a^2*b^19*d^2 + 12288*a^4*b^17*d^2 - 10974*a^6*b^15*d^2 - 105162*a^8*b^13*d^2 - 150758*a^10*b^11*d^2 - 85314*a^12*b^9*d^2 - 3578*a^14*b^7*d^2 + 22210*a^16*b^5*d^2 + 11550*a^18*b^3*d^2)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) - (((tan(c + d*x)^(1/2)*(1800*a^23*b*d^2 - 1472*a*b^23*d^2 - 1024*a^3*b^21*d^2 + 8448*a^5*b^19*d^2 + 46088*a^7*b^17*d^2 + 177344*a^9*b^15*d^2 + 402912*a^11*b^13*d^2 + 541632*a^13*b^11*d^2 + 455472*a^15*b^9*d^2 + 248064*a^17*b^7*d^2 + 87008*a^19*b^5*d^2 + 18240*a^21*b^3*d^2))/(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4) - (((128*a*b^26*d^4 + 3648*a^3*b^24*d^4 + 25536*a^5*b^22*d^4 + 88320*a^7*b^20*d^4 + 182784*a^9*b^18*d^4 + 244608*a^11*b^16*d^4 + 217728*a^13*b^14*d^4 + 128256*a^15*b^12*d^4 + 48000*a^17*b^10*d^4 + 10304*a^19*b^8*d^4 + 960*a^21*b^6*d^4)/(b^21*d^5 + 8*a^2*b^19*d^5 + 28*a^4*b^17*d^5 + 56*a^6*b^15*d^5 + 70*a^8*b^13*d^5 + 56*a^10*b^11*d^5 + 28*a^12*b^9*d^5 + 8*a^14*b^7*d^5 + a^16*b^5*d^5) + (tan(c + d*x)^(1/2)*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2)*(512*b^30*d^4 + 4608*a^2*b^28*d^4 + 17920*a^4*b^26*d^4 + 38400*a^6*b^24*d^4 + 46080*a^8*b^22*d^4 + 21504*a^10*b^20*d^4 - 21504*a^12*b^18*d^4 - 46080*a^14*b^16*d^4 - 38400*a^16*b^14*d^4 - 17920*a^18*b^12*d^4 - 4608*a^20*b^10*d^4 - 512*a^22*b^8*d^4))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)*(b^21*d^4 + 8*a^2*b^19*d^4 + 28*a^4*b^17*d^4 + 56*a^6*b^15*d^4 + 70*a^8*b^13*d^4 + 56*a^10*b^11*d^4 + 28*a^12*b^9*d^4 + 8*a^14*b^7*d^4 + a^16*b^5*d^4)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d)))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2))/(8*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d))))*(-a^5*b^7)^(1/2)*(15*a^4 + 63*b^4 + 46*a^2*b^2)*1i)/(4*(b^13*d + 3*a^2*b^11*d + 3*a^4*b^9*d + a^6*b^7*d))","B"
601,1,17912,396,9.839834,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^3,x)","-\frac{\frac{a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,a^2+11\,b^2\right)}{4\,b^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(5\,a^2+13\,b^2\right)}{4\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,a^2+2\,d\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+d\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\mathrm{atan}\left(\frac{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{9\,a^{12}\,b+36\,a^{10}\,b^3+270\,a^8\,b^5+492\,a^6\,b^7+1553\,a^4\,b^9+280\,a^2\,b^{11}}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{4\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{4\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{4\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}+\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{4\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{2\,\left(a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{2\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}+\frac{9\,a^{12}\,b+36\,a^{10}\,b^3+270\,a^8\,b^5+492\,a^6\,b^7+1553\,a^4\,b^9+280\,a^2\,b^{11}}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}-\frac{\left(\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}+\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}+\frac{\left(\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}-\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}}{\frac{9\,a^{12}\,b+36\,a^{10}\,b^3+270\,a^8\,b^5+492\,a^6\,b^7+1553\,a^4\,b^9+280\,a^2\,b^{11}}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}-\frac{\left(\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}+\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{16}-18\,a^{14}\,b^2+39\,a^{12}\,b^4-1020\,a^{10}\,b^6-1017\,a^8\,b^8-6802\,a^6\,b^{10}+1417\,a^4\,b^{12}+128\,a^2\,b^{14}+32\,b^{16}\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}+\frac{\left(\frac{-18\,a^{19}\,d^2+90\,a^{17}\,b^2\,d^2+246\,a^{15}\,b^4\,d^2+3314\,a^{13}\,b^6\,d^2+7594\,a^{11}\,b^8\,d^2+21582\,a^9\,b^{10}\,d^2+26482\,a^7\,b^{12}\,d^2+2758\,a^5\,b^{14}\,d^2-6528\,a^3\,b^{16}\,d^2+32\,a\,b^{18}\,d^2}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,a^{21}\,b\,d^2+576\,a^{19}\,b^3\,d^2+3488\,a^{17}\,b^5\,d^2+13248\,a^{15}\,b^7\,d^2+39088\,a^{13}\,b^9\,d^2+72640\,a^{11}\,b^{11}\,d^2+70240\,a^9\,b^{13}\,d^2+28224\,a^7\,b^{15}\,d^2+1352\,a^5\,b^{17}\,d^2+1024\,a^3\,b^{19}\,d^2+1472\,a\,b^{21}\,d^2\right)}{a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4}-\frac{\left(\frac{64\,a^{20}\,b^5\,d^4+2112\,a^{18}\,b^7\,d^4+14592\,a^{16}\,b^9\,d^4+48384\,a^{14}\,b^{11}\,d^4+94080\,a^{12}\,b^{13}\,d^4+115584\,a^{10}\,b^{15}\,d^4+91392\,a^8\,b^{17}\,d^4+45312\,a^6\,b^{19}\,d^4+12864\,a^4\,b^{21}\,d^4+1600\,a^2\,b^{23}\,d^4}{a^{16}\,b^3\,d^5+8\,a^{14}\,b^5\,d^5+28\,a^{12}\,b^7\,d^5+56\,a^{10}\,b^9\,d^5+70\,a^8\,b^{11}\,d^5+56\,a^6\,b^{13}\,d^5+28\,a^4\,b^{15}\,d^5+8\,a^2\,b^{17}\,d^5+b^{19}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)\,\left(-512\,a^{22}\,b^6\,d^4-4608\,a^{20}\,b^8\,d^4-17920\,a^{18}\,b^{10}\,d^4-38400\,a^{16}\,b^{12}\,d^4-46080\,a^{14}\,b^{14}\,d^4-21504\,a^{12}\,b^{16}\,d^4+21504\,a^{10}\,b^{18}\,d^4+46080\,a^8\,b^{20}\,d^4+38400\,a^6\,b^{22}\,d^4+17920\,a^4\,b^{24}\,d^4+4608\,a^2\,b^{26}\,d^4+512\,b^{28}\,d^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)\,\left(a^{16}\,b^3\,d^4+8\,a^{14}\,b^5\,d^4+28\,a^{12}\,b^7\,d^4+56\,a^{10}\,b^9\,d^4+70\,a^8\,b^{11}\,d^4+56\,a^6\,b^{13}\,d^4+28\,a^4\,b^{15}\,d^4+8\,a^2\,b^{17}\,d^4+b^{19}\,d^4\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}}\right)\,\sqrt{-a^3\,b^5}\,\left(3\,a^4+6\,a^2\,b^2+35\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^6\,b^5+3\,d\,a^4\,b^7+3\,d\,a^2\,b^9+d\,b^{11}\right)}","Not used",1,"atan((((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) - (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) + (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i - ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) + (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) - (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i)/(((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) - (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) + (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) + (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)) + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) - (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (9*a^12*b + 280*a^2*b^11 + 1553*a^4*b^9 + 492*a^6*b^7 + 270*a^8*b^5 + 36*a^10*b^3)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i - ((a^3*tan(c + d*x)^(1/2)*(3*a^2 + 11*b^2))/(4*b^2*(a^4 + b^4 + 2*a^2*b^2)) + (a^2*tan(c + d*x)^(3/2)*(5*a^2 + 13*b^2))/(4*b*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d + b^2*d*tan(c + d*x)^2 + 2*a*b*d*tan(c + d*x)) - atan((((((((((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(4*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i - ((((((((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(4*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i)/(((((((((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(4*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) + ((((((((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(4*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(2*(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(2*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) + (9*a^12*b + 280*a^2*b^11 + 1553*a^4*b^9 + 492*a^6*b^7 + 270*a^8*b^5 + 36*a^10*b^3)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i + (atan(((((tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) - (((32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) + (((tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) + (((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) - (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2)*1i)/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)) + (((tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) + (((32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) - (((tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) - (((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) + (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2)*1i)/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))/((9*a^12*b + 280*a^2*b^11 + 1553*a^4*b^9 + 492*a^6*b^7 + 270*a^8*b^5 + 36*a^10*b^3)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) - (((tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) - (((32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) + (((tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) + (((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) - (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)) + (((tan(c + d*x)^(1/2)*(9*a^16 + 32*b^16 + 128*a^2*b^14 + 1417*a^4*b^12 - 6802*a^6*b^10 - 1017*a^8*b^8 - 1020*a^10*b^6 + 39*a^12*b^4 - 18*a^14*b^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) + (((32*a*b^18*d^2 - 18*a^19*d^2 - 6528*a^3*b^16*d^2 + 2758*a^5*b^14*d^2 + 26482*a^7*b^12*d^2 + 21582*a^9*b^10*d^2 + 7594*a^11*b^8*d^2 + 3314*a^13*b^6*d^2 + 246*a^15*b^4*d^2 + 90*a^17*b^2*d^2)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) - (((tan(c + d*x)^(1/2)*(1472*a*b^21*d^2 + 72*a^21*b*d^2 + 1024*a^3*b^19*d^2 + 1352*a^5*b^17*d^2 + 28224*a^7*b^15*d^2 + 70240*a^9*b^13*d^2 + 72640*a^11*b^11*d^2 + 39088*a^13*b^9*d^2 + 13248*a^15*b^7*d^2 + 3488*a^17*b^5*d^2 + 576*a^19*b^3*d^2))/(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4) - (((1600*a^2*b^23*d^4 + 12864*a^4*b^21*d^4 + 45312*a^6*b^19*d^4 + 91392*a^8*b^17*d^4 + 115584*a^10*b^15*d^4 + 94080*a^12*b^13*d^4 + 48384*a^14*b^11*d^4 + 14592*a^16*b^9*d^4 + 2112*a^18*b^7*d^4 + 64*a^20*b^5*d^4)/(b^19*d^5 + 8*a^2*b^17*d^5 + 28*a^4*b^15*d^5 + 56*a^6*b^13*d^5 + 70*a^8*b^11*d^5 + 56*a^10*b^9*d^5 + 28*a^12*b^7*d^5 + 8*a^14*b^5*d^5 + a^16*b^3*d^5) + (tan(c + d*x)^(1/2)*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2)*(512*b^28*d^4 + 4608*a^2*b^26*d^4 + 17920*a^4*b^24*d^4 + 38400*a^6*b^22*d^4 + 46080*a^8*b^20*d^4 + 21504*a^10*b^18*d^4 - 21504*a^12*b^16*d^4 - 46080*a^14*b^14*d^4 - 38400*a^16*b^12*d^4 - 17920*a^18*b^10*d^4 - 4608*a^20*b^8*d^4 - 512*a^22*b^6*d^4))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)*(b^19*d^4 + 8*a^2*b^17*d^4 + 28*a^4*b^15*d^4 + 56*a^6*b^13*d^4 + 70*a^8*b^11*d^4 + 56*a^10*b^9*d^4 + 28*a^12*b^7*d^4 + 8*a^14*b^5*d^4 + a^16*b^3*d^4)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d)))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2))/(8*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d))))*(-a^3*b^5)^(1/2)*(3*a^4 + 35*b^4 + 6*a^2*b^2)*1i)/(4*(b^11*d + 3*a^2*b^9*d + 3*a^4*b^7*d + a^6*b^5*d))","B"
602,1,12531,390,20.835628,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^3,x)","\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)-\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)\,1{}\mathrm{i}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)-\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)-\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)-\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}\right)-\frac{a^{11}+36\,a^9\,b^2+302\,a^7\,b^4-388\,a^5\,b^6+249\,a^3\,b^8-120\,a\,b^{10}}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(a^3+9\,a\,b^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-7\,b^2\right)}{4\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,a^2+2\,d\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+d\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\frac{\ln\left(\frac{a^{11}+36\,a^9\,b^2+302\,a^7\,b^4-388\,a^5\,b^6+249\,a^3\,b^8-120\,a\,b^{10}}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}-\frac{\left(\frac{\left(\frac{\left(\frac{416\,a\,b^5\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}-352\,a^3\,b^3\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}+\frac{b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}+\frac{a^2\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}-\frac{a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}-\frac{a^6\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}{d}-\frac{8\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+44\,a^8\,b^2+262\,a^6\,b^4-812\,a^4\,b^6+833\,a^2\,b^8-184\,b^{10}\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{2\,a^2\,\left(5\,a^{10}+181\,a^8\,b^2+1106\,a^6\,b^4-5142\,a^4\,b^6+5017\,a^2\,b^8-1199\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{b\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}\right)\,\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\frac{a^{11}+36\,a^9\,b^2+302\,a^7\,b^4-388\,a^5\,b^6+249\,a^3\,b^8-120\,a\,b^{10}}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}-\frac{\left(\frac{\left(\frac{\left(\frac{416\,a\,b^5\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}-352\,a^3\,b^3\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}-\frac{b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}-\frac{a^2\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}+\frac{a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}+\frac{a^6\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,128{}\mathrm{i}}{d\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}{d}+\frac{8\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{10}+44\,a^8\,b^2+262\,a^6\,b^4-812\,a^4\,b^6+833\,a^2\,b^8-184\,b^{10}\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{2\,a^2\,\left(5\,a^{10}+181\,a^8\,b^2+1106\,a^6\,b^4-5142\,a^4\,b^6+5017\,a^2\,b^8-1199\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{b\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}\right)\,\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}-\frac{\sqrt{-a\,b^3}\,\left(\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}+\frac{\sqrt{-a\,b^3}\,\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}+\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}+\frac{\sqrt{-a\,b^3}\,\left(\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}-\frac{\sqrt{-a\,b^3}\,\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}}{\frac{a^{11}+36\,a^9\,b^2+302\,a^7\,b^4-388\,a^5\,b^6+249\,a^3\,b^8-120\,a\,b^{10}}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}-\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}-\frac{\sqrt{-a\,b^3}\,\left(\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}+\frac{\sqrt{-a\,b^3}\,\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}+\frac{\sqrt{-a\,b^3}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^{14}+30\,a^{12}\,b^2+79\,a^{10}\,b^4-2300\,a^8\,b^6+3631\,a^6\,b^8-2082\,a^4\,b^{10}+97\,a^2\,b^{12}-32\,b^{14}\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}+\frac{\sqrt{-a\,b^3}\,\left(\frac{10\,a^{16}\,b\,d^2+382\,a^{14}\,b^3\,d^2+2946\,a^{12}\,b^5\,d^2-5498\,a^{10}\,b^7\,d^2-8322\,a^8\,b^9\,d^2+7386\,a^6\,b^{11}\,d^2+5238\,a^4\,b^{13}\,d^2-2398\,a^2\,b^{15}\,d^2}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{19}\,b\,d^2+384\,a^{17}\,b^3\,d^2+3552\,a^{15}\,b^5\,d^2+4032\,a^{13}\,b^7\,d^2-5328\,a^{11}\,b^9\,d^2-5056\,a^9\,b^{11}\,d^2+10208\,a^7\,b^{13}\,d^2+11328\,a^5\,b^{15}\,d^2+776\,a^3\,b^{17}\,d^2-1472\,a\,b^{19}\,d^2\right)}{a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4}-\frac{\sqrt{-a\,b^3}\,\left(\frac{-704\,a^{19}\,b^4\,d^4-4800\,a^{17}\,b^6\,d^4-13056\,a^{15}\,b^8\,d^4-16128\,a^{13}\,b^{10}\,d^4-2688\,a^{11}\,b^{12}\,d^4+18816\,a^9\,b^{14}\,d^4+26880\,a^7\,b^{16}\,d^4+17664\,a^5\,b^{18}\,d^4+5952\,a^3\,b^{20}\,d^4+832\,a\,b^{22}\,d^4}{a^{16}\,b\,d^5+8\,a^{14}\,b^3\,d^5+28\,a^{12}\,b^5\,d^5+56\,a^{10}\,b^7\,d^5+70\,a^8\,b^9\,d^5+56\,a^6\,b^{11}\,d^5+28\,a^4\,b^{13}\,d^5+8\,a^2\,b^{15}\,d^5+b^{17}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)\,\left(-512\,a^{22}\,b^4\,d^4-4608\,a^{20}\,b^6\,d^4-17920\,a^{18}\,b^8\,d^4-38400\,a^{16}\,b^{10}\,d^4-46080\,a^{14}\,b^{12}\,d^4-21504\,a^{12}\,b^{14}\,d^4+21504\,a^{10}\,b^{16}\,d^4+46080\,a^8\,b^{18}\,d^4+38400\,a^6\,b^{20}\,d^4+17920\,a^4\,b^{22}\,d^4+4608\,a^2\,b^{24}\,d^4+512\,b^{26}\,d^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)\,\left(a^{16}\,b\,d^4+8\,a^{14}\,b^3\,d^4+28\,a^{12}\,b^5\,d^4+56\,a^{10}\,b^7\,d^4+70\,a^8\,b^9\,d^4+56\,a^6\,b^{11}\,d^4+28\,a^4\,b^{13}\,d^4+8\,a^2\,b^{15}\,d^4+b^{17}\,d^4\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}\right)\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)}{8\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}}\right)\,\sqrt{-a\,b^3}\,\left(a^4+18\,a^2\,b^2-15\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^6\,b^3+3\,d\,a^4\,b^5+3\,d\,a^2\,b^7+d\,b^9\right)}","Not used",1,"atan(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) - (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)) - (10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5)) + (tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4))*1i - (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) + (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)) - (10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5)) - (tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4))*1i)/((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) - (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)) - (10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5)) + (tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) + (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)) - (10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5)) - (tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)) - (a^11 - 120*a*b^10 + 249*a^3*b^8 - 388*a^5*b^6 + 302*a^7*b^4 + 36*a^9*b^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5)))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i + ((tan(c + d*x)^(3/2)*(9*a*b^2 + a^3))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (a^2*tan(c + d*x)^(1/2)*(a^2 - 7*b^2))/(4*b*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d + b^2*d*tan(c + d*x)^2 + 2*a*b*d*tan(c + d*x)) + (log((a^11 - 120*a*b^10 + 249*a^3*b^8 - 388*a^5*b^6 + 302*a^7*b^4 + 36*a^9*b^2)/(2*b*d^5*(a^2 + b^2)^8) - (((((((416*a*b^5*(1i/(d^2*(a*1i - b)^6))^(1/2) - 352*a^3*b^3*(1i/(d^2*(a*1i - b)^6))^(1/2) + (b^9*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6) + (a^2*b^7*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6) - (a^4*b^5*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6) - (a^6*b^3*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6))/d - (8*a*tan(c + d*x)^(1/2)*(a^10 - 184*b^10 + 833*a^2*b^8 - 812*a^4*b^6 + 262*a^6*b^4 + 44*a^8*b^2))/(d^2*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (2*a^2*(5*a^10 - 1199*b^10 + 5017*a^2*b^8 - 5142*a^4*b^6 + 1106*a^6*b^4 + 181*a^8*b^2))/(d^3*(a^2 + b^2)^6))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b*d^4*(a^2 + b^2)^8))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2)*(-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - log((a^11 - 120*a*b^10 + 249*a^3*b^8 - 388*a^5*b^6 + 302*a^7*b^4 + 36*a^9*b^2)/(2*b*d^5*(a^2 + b^2)^8) - (((((((416*a*b^5*(1i/(d^2*(a*1i - b)^6))^(1/2) - 352*a^3*b^3*(1i/(d^2*(a*1i - b)^6))^(1/2) - (b^9*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6) - (a^2*b^7*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6) + (a^4*b^5*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6) + (a^6*b^3*tan(c + d*x)^(1/2)*128i)/(d*(a*1i - b)^6))/d + (8*a*tan(c + d*x)^(1/2)*(a^10 - 184*b^10 + 833*a^2*b^8 - 812*a^4*b^6 + 262*a^6*b^4 + 44*a^8*b^2))/(d^2*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (2*a^2*(5*a^10 - 1199*b^10 + 5017*a^2*b^8 - 5142*a^4*b^6 + 1106*a^6*b^4 + 181*a^8*b^2))/(d^3*(a^2 + b^2)^6))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b*d^4*(a^2 + b^2)^8))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2)*(-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2) - (atan((((-a*b^3)^(1/2)*((tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) - ((-a*b^3)^(1/2)*((10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) - (((tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) + ((-a*b^3)^(1/2)*((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) - (tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)*(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2)*1i)/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)) + ((-a*b^3)^(1/2)*((tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) + ((-a*b^3)^(1/2)*((10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) + (((tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) - ((-a*b^3)^(1/2)*((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) + (tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)*(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2)*1i)/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))/((a^11 - 120*a*b^10 + 249*a^3*b^8 - 388*a^5*b^6 + 302*a^7*b^4 + 36*a^9*b^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) - ((-a*b^3)^(1/2)*((tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) - ((-a*b^3)^(1/2)*((10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) - (((tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) + ((-a*b^3)^(1/2)*((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) - (tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)*(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)) + ((-a*b^3)^(1/2)*((tan(c + d*x)^(1/2)*(a^14 - 32*b^14 + 97*a^2*b^12 - 2082*a^4*b^10 + 3631*a^6*b^8 - 2300*a^8*b^6 + 79*a^10*b^4 + 30*a^12*b^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) + ((-a*b^3)^(1/2)*((10*a^16*b*d^2 - 2398*a^2*b^15*d^2 + 5238*a^4*b^13*d^2 + 7386*a^6*b^11*d^2 - 8322*a^8*b^9*d^2 - 5498*a^10*b^7*d^2 + 2946*a^12*b^5*d^2 + 382*a^14*b^3*d^2)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) + (((tan(c + d*x)^(1/2)*(8*a^19*b*d^2 - 1472*a*b^19*d^2 + 776*a^3*b^17*d^2 + 11328*a^5*b^15*d^2 + 10208*a^7*b^13*d^2 - 5056*a^9*b^11*d^2 - 5328*a^11*b^9*d^2 + 4032*a^13*b^7*d^2 + 3552*a^15*b^5*d^2 + 384*a^17*b^3*d^2))/(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4) - ((-a*b^3)^(1/2)*((832*a*b^22*d^4 + 5952*a^3*b^20*d^4 + 17664*a^5*b^18*d^4 + 26880*a^7*b^16*d^4 + 18816*a^9*b^14*d^4 - 2688*a^11*b^12*d^4 - 16128*a^13*b^10*d^4 - 13056*a^15*b^8*d^4 - 4800*a^17*b^6*d^4 - 704*a^19*b^4*d^4)/(b^17*d^5 + a^16*b*d^5 + 8*a^2*b^15*d^5 + 28*a^4*b^13*d^5 + 56*a^6*b^11*d^5 + 70*a^8*b^9*d^5 + 56*a^10*b^7*d^5 + 28*a^12*b^5*d^5 + 8*a^14*b^3*d^5) + (tan(c + d*x)^(1/2)*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2)*(512*b^26*d^4 + 4608*a^2*b^24*d^4 + 17920*a^4*b^22*d^4 + 38400*a^6*b^20*d^4 + 46080*a^8*b^18*d^4 + 21504*a^10*b^16*d^4 - 21504*a^12*b^14*d^4 - 46080*a^14*b^12*d^4 - 38400*a^16*b^10*d^4 - 17920*a^18*b^8*d^4 - 4608*a^20*b^6*d^4 - 512*a^22*b^4*d^4))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)*(b^17*d^4 + a^16*b*d^4 + 8*a^2*b^15*d^4 + 28*a^4*b^13*d^4 + 56*a^6*b^11*d^4 + 70*a^8*b^9*d^4 + 56*a^10*b^7*d^4 + 28*a^12*b^5*d^4 + 8*a^14*b^3*d^4)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d)))*(a^4 - 15*b^4 + 18*a^2*b^2))/(8*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d))))*(-a*b^3)^(1/2)*(a^4 - 15*b^4 + 18*a^2*b^2)*1i)/(4*(b^9*d + 3*a^2*b^7*d + 3*a^4*b^5*d + a^6*b^3*d))","B"
603,1,17010,385,9.161372,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^3,x)","\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(3\,a^2\,b-5\,b^3\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(5\,a^2-3\,b^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,a^2+2\,d\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+d\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\mathrm{atan}\left(\frac{\left(\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}+\frac{\left(\frac{\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{4\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}+\frac{\left(\frac{\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{4\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\left(\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}+\frac{\left(\frac{\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{4\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}+\left(\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}+\frac{\left(\frac{\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{2\,\left(a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{4\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{2\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}+\frac{9\,a^8\,b^2-180\,a^6\,b^4+878\,a^4\,b^6+28\,a^2\,b^8-15\,b^{10}}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{9\,a^8\,b^2-180\,a^6\,b^4+878\,a^4\,b^6+28\,a^2\,b^8-15\,b^{10}}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}-\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}+\frac{\sqrt{-a\,b}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}+\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}-\frac{\sqrt{-a\,b}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}}{\frac{9\,a^8\,b^2-180\,a^6\,b^4+878\,a^4\,b^6+28\,a^2\,b^8-15\,b^{10}}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}-\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}+\frac{\sqrt{-a\,b}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}\,b-210\,a^{10}\,b^3+1671\,a^8\,b^5-4348\,a^6\,b^7+1831\,a^4\,b^9-82\,a^2\,b^{11}+41\,b^{13}\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}+\frac{\left(\frac{-18\,a^{15}\,b\,d^2+506\,a^{13}\,b^3\,d^2-3338\,a^{11}\,b^5\,d^2+5298\,a^9\,b^7\,d^2+17194\,a^7\,b^9\,d^2+3022\,a^5\,b^{11}\,d^2-4494\,a^3\,b^{13}\,d^2+518\,a\,b^{15}\,d^2}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}-\frac{\sqrt{-a\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{17}\,b^2\,d^2-960\,a^{15}\,b^4\,d^2+3808\,a^{13}\,b^6\,d^2+18880\,a^{11}\,b^8\,d^2+19504\,a^9\,b^{10}\,d^2-576\,a^7\,b^{12}\,d^2-7456\,a^5\,b^{14}\,d^2+64\,a^3\,b^{16}\,d^2+1544\,a\,b^{18}\,d^2\right)}{a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4}-\frac{\sqrt{-a\,b}\,\left(\frac{-128\,a^{20}\,b^2\,d^4+192\,a^{18}\,b^4\,d^4+5952\,a^{16}\,b^6\,d^4+25344\,a^{14}\,b^8\,d^4+53760\,a^{12}\,b^{10}\,d^4+67200\,a^{10}\,b^{12}\,d^4+51072\,a^8\,b^{14}\,d^4+22272\,a^6\,b^{16}\,d^4+4224\,a^4\,b^{18}\,d^4-320\,a^2\,b^{20}\,d^4-192\,b^{22}\,d^4}{a^{16}\,d^5+8\,a^{14}\,b^2\,d^5+28\,a^{12}\,b^4\,d^5+56\,a^{10}\,b^6\,d^5+70\,a^8\,b^8\,d^5+56\,a^6\,b^{10}\,d^5+28\,a^4\,b^{12}\,d^5+8\,a^2\,b^{14}\,d^5+b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{22}\,b^3\,d^4-4608\,a^{20}\,b^5\,d^4-17920\,a^{18}\,b^7\,d^4-38400\,a^{16}\,b^9\,d^4-46080\,a^{14}\,b^{11}\,d^4-21504\,a^{12}\,b^{13}\,d^4+21504\,a^{10}\,b^{15}\,d^4+46080\,a^8\,b^{17}\,d^4+38400\,a^6\,b^{19}\,d^4+17920\,a^4\,b^{21}\,d^4+4608\,a^2\,b^{23}\,d^4+512\,b^{25}\,d^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)\,\left(a^{16}\,d^4+8\,a^{14}\,b^2\,d^4+28\,a^{12}\,b^4\,d^4+56\,a^{10}\,b^6\,d^4+70\,a^8\,b^8\,d^4+56\,a^6\,b^{10}\,d^4+28\,a^4\,b^{12}\,d^4+8\,a^2\,b^{14}\,d^4+b^{16}\,d^4\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}\right)\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}}\right)\,\sqrt{-a\,b}\,\left(3\,a^4-26\,a^2\,b^2+3\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^7\,b+3\,d\,a^5\,b^3+3\,d\,a^3\,b^5+d\,a\,b^7\right)}","Not used",1,"atan((((((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) + (((((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(4*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i - ((((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) + (((((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(4*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i)/(((((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) + (((((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(4*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) + ((((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) + (((((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(2*(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(4*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(2*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) + (28*a^2*b^8 - 15*b^10 + 878*a^4*b^6 - 180*a^6*b^4 + 9*a^8*b^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i - atan((((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)) - (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)) + (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i - ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)) + (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)) - (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i)/(((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)) - (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)) + (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)) + (tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)) - (tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (28*a^2*b^8 - 15*b^10 + 878*a^4*b^6 - 180*a^6*b^4 + 9*a^8*b^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i + ((tan(c + d*x)^(3/2)*(3*a^2*b - 5*b^3))/(4*(a^4 + b^4 + 2*a^2*b^2)) + (a*tan(c + d*x)^(1/2)*(5*a^2 - 3*b^2))/(4*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d + b^2*d*tan(c + d*x)^2 + 2*a*b*d*tan(c + d*x)) - (atan((((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) - (((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + ((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) + ((-a*b)^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) - (tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2)*1i)/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)) + ((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) + (((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) - ((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) - ((-a*b)^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + (tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2)*1i)/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))/((28*a^2*b^8 - 15*b^10 + 878*a^4*b^6 - 180*a^6*b^4 + 9*a^8*b^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) - ((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) - (((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + ((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) + ((-a*b)^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) - (tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)) + ((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(9*a^12*b + 41*b^13 - 82*a^2*b^11 + 1831*a^4*b^9 - 4348*a^6*b^7 + 1671*a^8*b^5 - 210*a^10*b^3))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) + (((518*a*b^15*d^2 - 18*a^15*b*d^2 - 4494*a^3*b^13*d^2 + 3022*a^5*b^11*d^2 + 17194*a^7*b^9*d^2 + 5298*a^9*b^7*d^2 - 3338*a^11*b^5*d^2 + 506*a^13*b^3*d^2)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) - ((-a*b)^(1/2)*((tan(c + d*x)^(1/2)*(1544*a*b^18*d^2 + 64*a^3*b^16*d^2 - 7456*a^5*b^14*d^2 - 576*a^7*b^12*d^2 + 19504*a^9*b^10*d^2 + 18880*a^11*b^8*d^2 + 3808*a^13*b^6*d^2 - 960*a^15*b^4*d^2 + 8*a^17*b^2*d^2))/(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4) - ((-a*b)^(1/2)*((4224*a^4*b^18*d^4 - 320*a^2*b^20*d^4 - 192*b^22*d^4 + 22272*a^6*b^16*d^4 + 51072*a^8*b^14*d^4 + 67200*a^10*b^12*d^4 + 53760*a^12*b^10*d^4 + 25344*a^14*b^8*d^4 + 5952*a^16*b^6*d^4 + 192*a^18*b^4*d^4 - 128*a^20*b^2*d^4)/(a^16*d^5 + b^16*d^5 + 8*a^2*b^14*d^5 + 28*a^4*b^12*d^5 + 56*a^6*b^10*d^5 + 70*a^8*b^8*d^5 + 56*a^10*b^6*d^5 + 28*a^12*b^4*d^5 + 8*a^14*b^2*d^5) + (tan(c + d*x)^(1/2)*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2)*(512*b^25*d^4 + 4608*a^2*b^23*d^4 + 17920*a^4*b^21*d^4 + 38400*a^6*b^19*d^4 + 46080*a^8*b^17*d^4 + 21504*a^10*b^15*d^4 - 21504*a^12*b^13*d^4 - 46080*a^14*b^11*d^4 - 38400*a^16*b^9*d^4 - 17920*a^18*b^7*d^4 - 4608*a^20*b^5*d^4 - 512*a^22*b^3*d^4))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)*(a^16*d^4 + b^16*d^4 + 8*a^2*b^14*d^4 + 28*a^4*b^12*d^4 + 56*a^6*b^10*d^4 + 70*a^8*b^8*d^4 + 56*a^10*b^6*d^4 + 28*a^12*b^4*d^4 + 8*a^14*b^2*d^4)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d)))*(3*a^4 + 3*b^4 - 26*a^2*b^2))/(8*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d))))*(-a*b)^(1/2)*(3*a^4 + 3*b^4 - 26*a^2*b^2)*1i)/(4*(3*a^3*b^5*d + 3*a^5*b^3*d + a*b^7*d + a^7*b*d))","B"
604,1,12659,389,16.562809,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x))^3,x)","-\frac{\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^2\,b+b^3\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(b^4-7\,a^2\,b^2\right)}{4\,a\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,a^2+2\,d\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+d\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}+\mathrm{atan}\left(\frac{\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)\,1{}\mathrm{i}-\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)\,1{}\mathrm{i}}{\frac{-225\,a^9\,b^3+420\,a^7\,b^5-270\,a^5\,b^7+116\,a^3\,b^9+7\,a\,b^{11}}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)+\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}\right)}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}+256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{8\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{10}+193\,a^8\,b^2-812\,a^6\,b^4+902\,a^4\,b^6-148\,a^2\,b^8+b^{10}\right)}{a\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{2\,b^2\,\left(16\,a^{12}+1189\,a^{10}\,b^2-4539\,a^8\,b^4+5266\,a^6\,b^6-1382\,a^4\,b^8-71\,a^2\,b^{10}+b^{12}\right)}{a^2\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}+1922\,a^{10}\,b^2-3631\,a^8\,b^4+2460\,a^6\,b^6+49\,a^4\,b^8+2\,a^2\,b^{10}-b^{12}\right)}{a^2\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{b^3\,\left(-225\,a^8+420\,a^6\,b^2-270\,a^4\,b^4+116\,a^2\,b^6+7\,b^8\right)}{2\,a\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}-256\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{8\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,a^{10}+193\,a^8\,b^2-812\,a^6\,b^4+902\,a^4\,b^6-148\,a^2\,b^8+b^{10}\right)}{a\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}-\frac{2\,b^2\,\left(16\,a^{12}+1189\,a^{10}\,b^2-4539\,a^8\,b^4+5266\,a^6\,b^6-1382\,a^4\,b^8-71\,a^2\,b^{10}+b^{12}\right)}{a^2\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}+1922\,a^{10}\,b^2-3631\,a^8\,b^4+2460\,a^6\,b^6+49\,a^4\,b^8+2\,a^2\,b^{10}-b^{12}\right)}{a^2\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{1{}\mathrm{i}}{d^2\,{\left(-b+a\,1{}\mathrm{i}\right)}^6}}}{2}+\frac{b^3\,\left(-225\,a^8+420\,a^6\,b^2-270\,a^4\,b^4+116\,a^2\,b^6+7\,b^8\right)}{2\,a\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a^3\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}+\frac{\left(\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}+\frac{\sqrt{-a^3\,b}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)\,\left(a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}-\frac{\left(\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}-\frac{\sqrt{-a^3\,b}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)\,\left(a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}}{\frac{-225\,a^9\,b^3+420\,a^7\,b^5-270\,a^5\,b^7+116\,a^3\,b^9+7\,a\,b^{11}}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}-\frac{\sqrt{-a^3\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}+\frac{\left(\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}+\frac{\sqrt{-a^3\,b}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)\,\left(a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,a^{12}\,b^3+1922\,a^{10}\,b^5-3631\,a^8\,b^7+2460\,a^6\,b^9+49\,a^4\,b^{11}+2\,a^2\,b^{13}-b^{15}\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}-\frac{\left(\frac{32\,a^{16}\,b^2\,d^2+2442\,a^{14}\,b^4\,d^2-4290\,a^{12}\,b^6\,d^2-5246\,a^{10}\,b^8\,d^2+9222\,a^8\,b^{10}\,d^2+4862\,a^6\,b^{12}\,d^2-3046\,a^4\,b^{14}\,d^2-138\,a^2\,b^{16}\,d^2+2\,b^{18}\,d^2}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,a^{19}\,b^2\,d^2+1800\,a^{17}\,b^4\,d^2+64\,a^{15}\,b^6\,d^2-9248\,a^{13}\,b^8\,d^2-5056\,a^{11}\,b^{10}\,d^2+14128\,a^9\,b^{12}\,d^2+15296\,a^7\,b^{14}\,d^2+2528\,a^5\,b^{16}\,d^2-1152\,a^3\,b^{18}\,d^2+8\,a\,b^{20}\,d^2\right)}{a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4}-\frac{\sqrt{-a^3\,b}\,\left(\frac{-640\,a^{21}\,b^3\,d^4-4160\,a^{19}\,b^5\,d^4-10176\,a^{17}\,b^7\,d^4-8448\,a^{15}\,b^9\,d^4+10752\,a^{13}\,b^{11}\,d^4+34944\,a^{11}\,b^{13}\,d^4+40320\,a^9\,b^{15}\,d^4+25344\,a^7\,b^{17}\,d^4+8832\,a^5\,b^{19}\,d^4+1472\,a^3\,b^{21}\,d^4+64\,a\,b^{23}\,d^4}{a^{18}\,d^5+8\,a^{16}\,b^2\,d^5+28\,a^{14}\,b^4\,d^5+56\,a^{12}\,b^6\,d^5+70\,a^{10}\,b^8\,d^5+56\,a^8\,b^{10}\,d^5+28\,a^6\,b^{12}\,d^5+8\,a^4\,b^{14}\,d^5+a^2\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)\,\left(-512\,a^{24}\,b^3\,d^4-4608\,a^{22}\,b^5\,d^4-17920\,a^{20}\,b^7\,d^4-38400\,a^{18}\,b^9\,d^4-46080\,a^{16}\,b^{11}\,d^4-21504\,a^{14}\,b^{13}\,d^4+21504\,a^{12}\,b^{15}\,d^4+46080\,a^{10}\,b^{17}\,d^4+38400\,a^8\,b^{19}\,d^4+17920\,a^6\,b^{21}\,d^4+4608\,a^4\,b^{23}\,d^4+512\,a^2\,b^{25}\,d^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)\,\left(a^{18}\,d^4+8\,a^{16}\,b^2\,d^4+28\,a^{14}\,b^4\,d^4+56\,a^{12}\,b^6\,d^4+70\,a^{10}\,b^8\,d^4+56\,a^8\,b^{10}\,d^4+28\,a^6\,b^{12}\,d^4+8\,a^4\,b^{14}\,d^4+a^2\,b^{16}\,d^4\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}\right)\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)}{8\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^4+18\,a^2\,b^2+b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^9+3\,d\,a^7\,b^2+3\,d\,a^5\,b^4+d\,a^3\,b^6\right)}","Not used",1,"atan(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) + (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)) - (tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5)) + (tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4))*1i - (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) - (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)) + (tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5)) - (tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4))*1i)/((7*a*b^11 + 116*a^3*b^9 - 270*a^5*b^7 + 420*a^7*b^5 - 225*a^9*b^3)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) + (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)) - (tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5)) + (tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)) + (-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) - (tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)) + (tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5)) - (tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4))))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i - ((tan(c + d*x)^(1/2)*(9*a^2*b + b^3))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (tan(c + d*x)^(3/2)*(b^4 - 7*a^2*b^2))/(4*a*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d + b^2*d*tan(c + d*x)^2 + 2*a*b*d*tan(c + d*x)) + (log((((((((((64*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) + 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^6))^(1/2))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (8*b^2*tan(c + d*x)^(1/2)*(8*a^10 + b^10 - 148*a^2*b^8 + 902*a^4*b^6 - 812*a^6*b^4 + 193*a^8*b^2))/(a*d^2*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (2*b^2*(16*a^12 + b^12 - 71*a^2*b^10 - 1382*a^4*b^8 + 5266*a^6*b^6 - 4539*a^8*b^4 + 1189*a^10*b^2))/(a^2*d^3*(a^2 + b^2)^6))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (b^3*tan(c + d*x)^(1/2)*(2*a^2*b^10 - b^12 - 225*a^12 + 49*a^4*b^8 + 2460*a^6*b^6 - 3631*a^8*b^4 + 1922*a^10*b^2))/(a^2*d^4*(a^2 + b^2)^8))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (b^3*(7*b^8 - 225*a^8 + 116*a^2*b^6 - 270*a^4*b^4 + 420*a^6*b^2))/(2*a*d^5*(a^2 + b^2)^8))*(-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - log((((((((((64*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) - 256*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(1i/(d^2*(a*1i - b)^6))^(1/2))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (8*b^2*tan(c + d*x)^(1/2)*(8*a^10 + b^10 - 148*a^2*b^8 + 902*a^4*b^6 - 812*a^6*b^4 + 193*a^8*b^2))/(a*d^2*(a^2 + b^2)^4))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 - (2*b^2*(16*a^12 + b^12 - 71*a^2*b^10 - 1382*a^4*b^8 + 5266*a^6*b^6 - 4539*a^8*b^4 + 1189*a^10*b^2))/(a^2*d^3*(a^2 + b^2)^6))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (b^3*tan(c + d*x)^(1/2)*(2*a^2*b^10 - b^12 - 225*a^12 + 49*a^4*b^8 + 2460*a^6*b^6 - 3631*a^8*b^4 + 1922*a^10*b^2))/(a^2*d^4*(a^2 + b^2)^8))*(1i/(d^2*(a*1i - b)^6))^(1/2))/2 + (b^3*(7*b^8 - 225*a^8 + 116*a^2*b^6 - 270*a^4*b^4 + 420*a^6*b^2))/(2*a*d^5*(a^2 + b^2)^8))*(-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2) + (atan((((-a^3*b)^(1/2)*((tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) + (((2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) - (((tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) + ((-a^3*b)^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) - (tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)*(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)))*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(b^4 - 15*a^4 + 18*a^2*b^2)*1i)/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)) + ((-a^3*b)^(1/2)*((tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) - (((2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) + (((tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) - ((-a^3*b)^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) + (tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)*(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)))*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(b^4 - 15*a^4 + 18*a^2*b^2)*1i)/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))/((7*a*b^11 + 116*a^3*b^9 - 270*a^5*b^7 + 420*a^7*b^5 - 225*a^9*b^3)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) - ((-a^3*b)^(1/2)*((tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) + (((2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) - (((tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) + ((-a^3*b)^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) - (tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)*(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)))*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)) + ((-a^3*b)^(1/2)*((tan(c + d*x)^(1/2)*(2*a^2*b^13 - b^15 + 49*a^4*b^11 + 2460*a^6*b^9 - 3631*a^8*b^7 + 1922*a^10*b^5 - 225*a^12*b^3))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) - (((2*b^18*d^2 - 138*a^2*b^16*d^2 - 3046*a^4*b^14*d^2 + 4862*a^6*b^12*d^2 + 9222*a^8*b^10*d^2 - 5246*a^10*b^8*d^2 - 4290*a^12*b^6*d^2 + 2442*a^14*b^4*d^2 + 32*a^16*b^2*d^2)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) + (((tan(c + d*x)^(1/2)*(8*a*b^20*d^2 - 1152*a^3*b^18*d^2 + 2528*a^5*b^16*d^2 + 15296*a^7*b^14*d^2 + 14128*a^9*b^12*d^2 - 5056*a^11*b^10*d^2 - 9248*a^13*b^8*d^2 + 64*a^15*b^6*d^2 + 1800*a^17*b^4*d^2 + 64*a^19*b^2*d^2))/(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4) - ((-a^3*b)^(1/2)*((64*a*b^23*d^4 + 1472*a^3*b^21*d^4 + 8832*a^5*b^19*d^4 + 25344*a^7*b^17*d^4 + 40320*a^9*b^15*d^4 + 34944*a^11*b^13*d^4 + 10752*a^13*b^11*d^4 - 8448*a^15*b^9*d^4 - 10176*a^17*b^7*d^4 - 4160*a^19*b^5*d^4 - 640*a^21*b^3*d^4)/(a^18*d^5 + a^2*b^16*d^5 + 8*a^4*b^14*d^5 + 28*a^6*b^12*d^5 + 56*a^8*b^10*d^5 + 70*a^10*b^8*d^5 + 56*a^12*b^6*d^5 + 28*a^14*b^4*d^5 + 8*a^16*b^2*d^5) + (tan(c + d*x)^(1/2)*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2)*(512*a^2*b^25*d^4 + 4608*a^4*b^23*d^4 + 17920*a^6*b^21*d^4 + 38400*a^8*b^19*d^4 + 46080*a^10*b^17*d^4 + 21504*a^12*b^15*d^4 - 21504*a^14*b^13*d^4 - 46080*a^16*b^11*d^4 - 38400*a^18*b^9*d^4 - 17920*a^20*b^7*d^4 - 4608*a^22*b^5*d^4 - 512*a^24*b^3*d^4))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)*(a^18*d^4 + a^2*b^16*d^4 + 8*a^4*b^14*d^4 + 28*a^6*b^12*d^4 + 56*a^8*b^10*d^4 + 70*a^10*b^8*d^4 + 56*a^12*b^6*d^4 + 28*a^14*b^4*d^4 + 8*a^16*b^2*d^4)))*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d)))*(b^4 - 15*a^4 + 18*a^2*b^2))/(8*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d))))*(-a^3*b)^(1/2)*(b^4 - 15*a^4 + 18*a^2*b^2)*1i)/(4*(a^9*d + a^3*b^6*d + 3*a^5*b^4*d + 3*a^7*b^2*d))","B"
605,1,17833,396,9.638305,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3),x)","\frac{\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(13\,a^2\,b^2+5\,b^4\right)}{4\,a\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(11\,a^2\,b^2+3\,b^4\right)}{4\,a^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,a^2+2\,d\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+d\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}\right)+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}\right)-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+\frac{1505\,a^8\,b^6+748\,a^6\,b^8+318\,a^4\,b^{10}+60\,a^2\,b^{12}+9\,b^{14}}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{4\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\left(\frac{\left(\frac{\left(\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{4\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{\frac{1505\,a^8\,b^6+748\,a^6\,b^8+318\,a^4\,b^{10}+60\,a^2\,b^{12}+9\,b^{14}}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\left(\frac{\left(\frac{\left(\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{4\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}+\left(\frac{\left(\frac{\left(\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{4\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{2\,\left(a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{2\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}-\frac{\left(\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}+\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}+\frac{\left(\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}-\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}}{\frac{1505\,a^8\,b^6+748\,a^6\,b^8+318\,a^4\,b^{10}+60\,a^2\,b^{12}+9\,b^{14}}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}-\frac{\left(\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}+\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}\,b^5+6802\,a^{10}\,b^7+857\,a^8\,b^9+892\,a^6\,b^{11}-71\,a^4\,b^{13}+18\,a^2\,b^{15}-9\,b^{17}\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}+\frac{\left(\frac{-32\,a^{17}\,b^3\,d^2+2258\,a^{15}\,b^5\,d^2-14970\,a^{13}\,b^7\,d^2-34486\,a^{11}\,b^9\,d^2-14578\,a^9\,b^{11}\,d^2+3606\,a^7\,b^{13}\,d^2+1714\,a^5\,b^{15}\,d^2+846\,a^3\,b^{17}\,d^2+90\,a\,b^{19}\,d^2}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,a^{21}\,b^2\,d^2+12616\,a^{17}\,b^6\,d^2+47680\,a^{15}\,b^8\,d^2+70240\,a^{13}\,b^{10}\,d^2+53184\,a^{11}\,b^{12}\,d^2+27824\,a^9\,b^{14}\,d^2+14272\,a^7\,b^{16}\,d^2+5024\,a^5\,b^{18}\,d^2+576\,a^3\,b^{20}\,d^2+72\,a\,b^{22}\,d^2\right)}{a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4}-\frac{\left(\frac{-128\,a^{24}\,b^2\,d^4+384\,a^{22}\,b^4\,d^4+7872\,a^{20}\,b^6\,d^4+33984\,a^{18}\,b^8\,d^4+76800\,a^{16}\,b^{10}\,d^4+107520\,a^{14}\,b^{12}\,d^4+99456\,a^{12}\,b^{14}\,d^4+62592\,a^{10}\,b^{16}\,d^4+27264\,a^8\,b^{18}\,d^4+8320\,a^6\,b^{20}\,d^4+1728\,a^4\,b^{22}\,d^4+192\,a^2\,b^{24}\,d^4}{a^{20}\,d^5+8\,a^{18}\,b^2\,d^5+28\,a^{16}\,b^4\,d^5+56\,a^{14}\,b^6\,d^5+70\,a^{12}\,b^8\,d^5+56\,a^{10}\,b^{10}\,d^5+28\,a^8\,b^{12}\,d^5+8\,a^6\,b^{14}\,d^5+a^4\,b^{16}\,d^5}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)\,\left(-512\,a^{26}\,b^3\,d^4-4608\,a^{24}\,b^5\,d^4-17920\,a^{22}\,b^7\,d^4-38400\,a^{20}\,b^9\,d^4-46080\,a^{18}\,b^{11}\,d^4-21504\,a^{16}\,b^{13}\,d^4+21504\,a^{14}\,b^{15}\,d^4+46080\,a^{12}\,b^{17}\,d^4+38400\,a^{10}\,b^{19}\,d^4+17920\,a^8\,b^{21}\,d^4+4608\,a^6\,b^{23}\,d^4+512\,a^4\,b^{25}\,d^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)\,\left(a^{20}\,d^4+8\,a^{18}\,b^2\,d^4+28\,a^{16}\,b^4\,d^4+56\,a^{14}\,b^6\,d^4+70\,a^{12}\,b^8\,d^4+56\,a^{10}\,b^{10}\,d^4+28\,a^8\,b^{12}\,d^4+8\,a^6\,b^{14}\,d^4+a^4\,b^{16}\,d^4\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)}{8\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}}\right)\,\sqrt{-a^5\,b^3}\,\left(35\,a^4+6\,a^2\,b^2+3\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^{11}+3\,d\,a^9\,b^2+3\,d\,a^7\,b^4+d\,a^5\,b^6\right)}","Not used",1,"((tan(c + d*x)^(1/2)*(5*b^4 + 13*a^2*b^2))/(4*a*(a^4 + b^4 + 2*a^2*b^2)) + (b*tan(c + d*x)^(3/2)*(3*b^4 + 11*a^2*b^2))/(4*a^2*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d + b^2*d*tan(c + d*x)^2 + 2*a*b*d*tan(c + d*x)) - atan((((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)) + (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) + (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i - ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)) - (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) - (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i)/(((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) - (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)) + (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) + (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + ((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + (tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)) - (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) - (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + (9*b^14 + 60*a^2*b^12 + 318*a^4*b^10 + 748*a^6*b^8 + 1505*a^8*b^6)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i - atan((((((((((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(4*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i - ((((((((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(4*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i)/((9*b^14 + 60*a^2*b^12 + 318*a^4*b^10 + 748*a^6*b^8 + 1505*a^8*b^6)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + ((((((((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(4*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) + ((((((((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)) + (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(4*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(2*(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - (tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(2*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i - (atan(((((tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) - (((90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) - (((tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) + (((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) - (tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2)*1i)/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)) + (((tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) + (((90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + (((tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) - (((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + (tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2)*1i)/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))/((9*b^14 + 60*a^2*b^12 + 318*a^4*b^10 + 748*a^6*b^8 + 1505*a^8*b^6)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + (((tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) - (((90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) - (((tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) + (((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) - (tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)) - (((tan(c + d*x)^(1/2)*(18*a^2*b^15 - 9*b^17 - 71*a^4*b^13 + 892*a^6*b^11 + 857*a^8*b^9 + 6802*a^10*b^7 - 1257*a^12*b^5))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) + (((90*a*b^19*d^2 + 846*a^3*b^17*d^2 + 1714*a^5*b^15*d^2 + 3606*a^7*b^13*d^2 - 14578*a^9*b^11*d^2 - 34486*a^11*b^9*d^2 - 14970*a^13*b^7*d^2 + 2258*a^15*b^5*d^2 - 32*a^17*b^3*d^2)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + (((tan(c + d*x)^(1/2)*(72*a*b^22*d^2 + 576*a^3*b^20*d^2 + 5024*a^5*b^18*d^2 + 14272*a^7*b^16*d^2 + 27824*a^9*b^14*d^2 + 53184*a^11*b^12*d^2 + 70240*a^13*b^10*d^2 + 47680*a^15*b^8*d^2 + 12616*a^17*b^6*d^2 - 64*a^21*b^2*d^2))/(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4) - (((192*a^2*b^24*d^4 + 1728*a^4*b^22*d^4 + 8320*a^6*b^20*d^4 + 27264*a^8*b^18*d^4 + 62592*a^10*b^16*d^4 + 99456*a^12*b^14*d^4 + 107520*a^14*b^12*d^4 + 76800*a^16*b^10*d^4 + 33984*a^18*b^8*d^4 + 7872*a^20*b^6*d^4 + 384*a^22*b^4*d^4 - 128*a^24*b^2*d^4)/(a^20*d^5 + a^4*b^16*d^5 + 8*a^6*b^14*d^5 + 28*a^8*b^12*d^5 + 56*a^10*b^10*d^5 + 70*a^12*b^8*d^5 + 56*a^14*b^6*d^5 + 28*a^16*b^4*d^5 + 8*a^18*b^2*d^5) + (tan(c + d*x)^(1/2)*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2)*(512*a^4*b^25*d^4 + 4608*a^6*b^23*d^4 + 17920*a^8*b^21*d^4 + 38400*a^10*b^19*d^4 + 46080*a^12*b^17*d^4 + 21504*a^14*b^15*d^4 - 21504*a^16*b^13*d^4 - 46080*a^18*b^11*d^4 - 38400*a^20*b^9*d^4 - 17920*a^22*b^7*d^4 - 4608*a^24*b^5*d^4 - 512*a^26*b^3*d^4))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)*(a^20*d^4 + a^4*b^16*d^4 + 8*a^6*b^14*d^4 + 28*a^8*b^12*d^4 + 56*a^10*b^10*d^4 + 70*a^12*b^8*d^4 + 56*a^14*b^6*d^4 + 28*a^16*b^4*d^4 + 8*a^18*b^2*d^4)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d)))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2))/(8*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d))))*(-a^5*b^3)^(1/2)*(35*a^4 + 3*b^4 + 6*a^2*b^2)*1i)/(4*(a^11*d + a^5*b^6*d + 3*a^7*b^4*d + 3*a^9*b^2*d))","B"
606,1,16740,444,13.708343,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3),x)","\frac{\ln\left(29491200\,a^{22}\,b^{35}\,d^4-\frac{\left(\frac{\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)}{2}\right)}{2}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-117964800\,a^{21}\,b^{42}\,d^6-841482240\,a^{23}\,b^{40}\,d^6+3829399552\,a^{25}\,b^{38}\,d^6+78068580352\,a^{27}\,b^{36}\,d^6+497438162944\,a^{29}\,b^{34}\,d^6+1899895980032\,a^{31}\,b^{32}\,d^6+4972695519232\,a^{33}\,b^{30}\,d^6+9371195015168\,a^{35}\,b^{28}\,d^6+12890720436224\,a^{37}\,b^{26}\,d^6+12726089809920\,a^{39}\,b^{24}\,d^6+8366961197056\,a^{41}\,b^{22}\,d^6+2597662490624\,a^{43}\,b^{20}\,d^6-1171836108800\,a^{45}\,b^{18}\,d^6-1986881650688\,a^{47}\,b^{16}\,d^6-1237583921152\,a^{49}\,b^{14}\,d^6-449507753984\,a^{51}\,b^{12}\,d^6-97476149248\,a^{53}\,b^{10}\,d^6-11931222016\,a^{55}\,b^8\,d^6-1006632960\,a^{57}\,b^6\,d^6-134217728\,a^{59}\,b^4\,d^6-8388608\,a^{61}\,b^2\,d^6\right)}{2}+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)\right)\,\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+460062720\,a^{24}\,b^{33}\,d^4+3439722496\,a^{26}\,b^{31}\,d^4+16227237888\,a^{28}\,b^{29}\,d^4+53669396480\,a^{30}\,b^{27}\,d^4+131031367680\,a^{32}\,b^{25}\,d^4+242529730560\,a^{34}\,b^{23}\,d^4+344454070272\,a^{36}\,b^{21}\,d^4+375993532416\,a^{38}\,b^{19}\,d^4+313043189760\,a^{40}\,b^{17}\,d^4+195253370880\,a^{42}\,b^{15}\,d^4+88318935040\,a^{44}\,b^{13}\,d^4+27352498176\,a^{46}\,b^{11}\,d^4+5187043328\,a^{48}\,b^9\,d^4+454164480\,a^{50}\,b^7\,d^4\right)\,\sqrt{-\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(29491200\,a^{22}\,b^{35}\,d^4-\left(\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}-117964800\,a^{21}\,b^{42}\,d^6-841482240\,a^{23}\,b^{40}\,d^6+3829399552\,a^{25}\,b^{38}\,d^6+78068580352\,a^{27}\,b^{36}\,d^6+497438162944\,a^{29}\,b^{34}\,d^6+1899895980032\,a^{31}\,b^{32}\,d^6+4972695519232\,a^{33}\,b^{30}\,d^6+9371195015168\,a^{35}\,b^{28}\,d^6+12890720436224\,a^{37}\,b^{26}\,d^6+12726089809920\,a^{39}\,b^{24}\,d^6+8366961197056\,a^{41}\,b^{22}\,d^6+2597662490624\,a^{43}\,b^{20}\,d^6-1171836108800\,a^{45}\,b^{18}\,d^6-1986881650688\,a^{47}\,b^{16}\,d^6-1237583921152\,a^{49}\,b^{14}\,d^6-449507753984\,a^{51}\,b^{12}\,d^6-97476149248\,a^{53}\,b^{10}\,d^6-11931222016\,a^{55}\,b^8\,d^6-1006632960\,a^{57}\,b^6\,d^6-134217728\,a^{59}\,b^4\,d^6-8388608\,a^{61}\,b^2\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)\right)\,\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}+460062720\,a^{24}\,b^{33}\,d^4+3439722496\,a^{26}\,b^{31}\,d^4+16227237888\,a^{28}\,b^{29}\,d^4+53669396480\,a^{30}\,b^{27}\,d^4+131031367680\,a^{32}\,b^{25}\,d^4+242529730560\,a^{34}\,b^{23}\,d^4+344454070272\,a^{36}\,b^{21}\,d^4+375993532416\,a^{38}\,b^{19}\,d^4+313043189760\,a^{40}\,b^{17}\,d^4+195253370880\,a^{42}\,b^{15}\,d^4+88318935040\,a^{44}\,b^{13}\,d^4+27352498176\,a^{46}\,b^{11}\,d^4+5187043328\,a^{48}\,b^9\,d^4+454164480\,a^{50}\,b^7\,d^4\right)\,\sqrt{-\frac{1}{4\,\left(-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}\right)}}-\frac{\frac{2}{a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(8\,a^4\,b^2+31\,a^2\,b^4+15\,b^6\right)}{4\,a^3\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(16\,a^4\,b+49\,a^2\,b^3+25\,b^5\right)}{4\,a^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+b^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}+2\,a\,b\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-117964800\,a^{21}\,b^{42}\,d^6-841482240\,a^{23}\,b^{40}\,d^6+3829399552\,a^{25}\,b^{38}\,d^6+78068580352\,a^{27}\,b^{36}\,d^6+497438162944\,a^{29}\,b^{34}\,d^6+1899895980032\,a^{31}\,b^{32}\,d^6+4972695519232\,a^{33}\,b^{30}\,d^6+9371195015168\,a^{35}\,b^{28}\,d^6+12890720436224\,a^{37}\,b^{26}\,d^6+12726089809920\,a^{39}\,b^{24}\,d^6+8366961197056\,a^{41}\,b^{22}\,d^6+2597662490624\,a^{43}\,b^{20}\,d^6-1171836108800\,a^{45}\,b^{18}\,d^6-1986881650688\,a^{47}\,b^{16}\,d^6-1237583921152\,a^{49}\,b^{14}\,d^6-449507753984\,a^{51}\,b^{12}\,d^6-97476149248\,a^{53}\,b^{10}\,d^6-11931222016\,a^{55}\,b^8\,d^6-1006632960\,a^{57}\,b^6\,d^6-134217728\,a^{59}\,b^4\,d^6-8388608\,a^{61}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-117964800\,a^{21}\,b^{42}\,d^6-841482240\,a^{23}\,b^{40}\,d^6+3829399552\,a^{25}\,b^{38}\,d^6+78068580352\,a^{27}\,b^{36}\,d^6+497438162944\,a^{29}\,b^{34}\,d^6+1899895980032\,a^{31}\,b^{32}\,d^6+4972695519232\,a^{33}\,b^{30}\,d^6+9371195015168\,a^{35}\,b^{28}\,d^6+12890720436224\,a^{37}\,b^{26}\,d^6+12726089809920\,a^{39}\,b^{24}\,d^6+8366961197056\,a^{41}\,b^{22}\,d^6+2597662490624\,a^{43}\,b^{20}\,d^6-1171836108800\,a^{45}\,b^{18}\,d^6-1986881650688\,a^{47}\,b^{16}\,d^6-1237583921152\,a^{49}\,b^{14}\,d^6-449507753984\,a^{51}\,b^{12}\,d^6-97476149248\,a^{53}\,b^{10}\,d^6-11931222016\,a^{55}\,b^8\,d^6-1006632960\,a^{57}\,b^6\,d^6-134217728\,a^{59}\,b^4\,d^6-8388608\,a^{61}\,b^2\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}}{58982400\,a^{22}\,b^{35}\,d^4-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-117964800\,a^{21}\,b^{42}\,d^6-841482240\,a^{23}\,b^{40}\,d^6+3829399552\,a^{25}\,b^{38}\,d^6+78068580352\,a^{27}\,b^{36}\,d^6+497438162944\,a^{29}\,b^{34}\,d^6+1899895980032\,a^{31}\,b^{32}\,d^6+4972695519232\,a^{33}\,b^{30}\,d^6+9371195015168\,a^{35}\,b^{28}\,d^6+12890720436224\,a^{37}\,b^{26}\,d^6+12726089809920\,a^{39}\,b^{24}\,d^6+8366961197056\,a^{41}\,b^{22}\,d^6+2597662490624\,a^{43}\,b^{20}\,d^6-1171836108800\,a^{45}\,b^{18}\,d^6-1986881650688\,a^{47}\,b^{16}\,d^6-1237583921152\,a^{49}\,b^{14}\,d^6-449507753984\,a^{51}\,b^{12}\,d^6-97476149248\,a^{53}\,b^{10}\,d^6-11931222016\,a^{55}\,b^8\,d^6-1006632960\,a^{57}\,b^6\,d^6-134217728\,a^{59}\,b^4\,d^6-8388608\,a^{61}\,b^2\,d^6\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-117964800\,a^{21}\,b^{42}\,d^6-841482240\,a^{23}\,b^{40}\,d^6+3829399552\,a^{25}\,b^{38}\,d^6+78068580352\,a^{27}\,b^{36}\,d^6+497438162944\,a^{29}\,b^{34}\,d^6+1899895980032\,a^{31}\,b^{32}\,d^6+4972695519232\,a^{33}\,b^{30}\,d^6+9371195015168\,a^{35}\,b^{28}\,d^6+12890720436224\,a^{37}\,b^{26}\,d^6+12726089809920\,a^{39}\,b^{24}\,d^6+8366961197056\,a^{41}\,b^{22}\,d^6+2597662490624\,a^{43}\,b^{20}\,d^6-1171836108800\,a^{45}\,b^{18}\,d^6-1986881650688\,a^{47}\,b^{16}\,d^6-1237583921152\,a^{49}\,b^{14}\,d^6-449507753984\,a^{51}\,b^{12}\,d^6-97476149248\,a^{53}\,b^{10}\,d^6-11931222016\,a^{55}\,b^8\,d^6-1006632960\,a^{57}\,b^6\,d^6-134217728\,a^{59}\,b^4\,d^6-8388608\,a^{61}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+920125440\,a^{24}\,b^{33}\,d^4+6879444992\,a^{26}\,b^{31}\,d^4+32454475776\,a^{28}\,b^{29}\,d^4+107338792960\,a^{30}\,b^{27}\,d^4+262062735360\,a^{32}\,b^{25}\,d^4+485059461120\,a^{34}\,b^{23}\,d^4+688908140544\,a^{36}\,b^{21}\,d^4+751987064832\,a^{38}\,b^{19}\,d^4+626086379520\,a^{40}\,b^{17}\,d^4+390506741760\,a^{42}\,b^{15}\,d^4+176637870080\,a^{44}\,b^{13}\,d^4+54704996352\,a^{46}\,b^{11}\,d^4+10374086656\,a^{48}\,b^9\,d^4+908328960\,a^{50}\,b^7\,d^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)+\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(117964800\,a^{21}\,b^{42}\,d^6+841482240\,a^{23}\,b^{40}\,d^6-3829399552\,a^{25}\,b^{38}\,d^6-78068580352\,a^{27}\,b^{36}\,d^6-497438162944\,a^{29}\,b^{34}\,d^6-1899895980032\,a^{31}\,b^{32}\,d^6-4972695519232\,a^{33}\,b^{30}\,d^6-9371195015168\,a^{35}\,b^{28}\,d^6-12890720436224\,a^{37}\,b^{26}\,d^6-12726089809920\,a^{39}\,b^{24}\,d^6-8366961197056\,a^{41}\,b^{22}\,d^6-2597662490624\,a^{43}\,b^{20}\,d^6+1171836108800\,a^{45}\,b^{18}\,d^6+1986881650688\,a^{47}\,b^{16}\,d^6+1237583921152\,a^{49}\,b^{14}\,d^6+449507753984\,a^{51}\,b^{12}\,d^6+97476149248\,a^{53}\,b^{10}\,d^6+11931222016\,a^{55}\,b^8\,d^6+1006632960\,a^{57}\,b^6\,d^6+134217728\,a^{59}\,b^4\,d^6+8388608\,a^{61}\,b^2\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)+\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)-\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(117964800\,a^{21}\,b^{42}\,d^6+841482240\,a^{23}\,b^{40}\,d^6-3829399552\,a^{25}\,b^{38}\,d^6-78068580352\,a^{27}\,b^{36}\,d^6-497438162944\,a^{29}\,b^{34}\,d^6-1899895980032\,a^{31}\,b^{32}\,d^6-4972695519232\,a^{33}\,b^{30}\,d^6-9371195015168\,a^{35}\,b^{28}\,d^6-12890720436224\,a^{37}\,b^{26}\,d^6-12726089809920\,a^{39}\,b^{24}\,d^6-8366961197056\,a^{41}\,b^{22}\,d^6-2597662490624\,a^{43}\,b^{20}\,d^6+1171836108800\,a^{45}\,b^{18}\,d^6+1986881650688\,a^{47}\,b^{16}\,d^6+1237583921152\,a^{49}\,b^{14}\,d^6+449507753984\,a^{51}\,b^{12}\,d^6+97476149248\,a^{53}\,b^{10}\,d^6+11931222016\,a^{55}\,b^8\,d^6+1006632960\,a^{57}\,b^6\,d^6+134217728\,a^{59}\,b^4\,d^6+8388608\,a^{61}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)-\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}}{58982400\,a^{22}\,b^{35}\,d^4+920125440\,a^{24}\,b^{33}\,d^4+6879444992\,a^{26}\,b^{31}\,d^4+32454475776\,a^{28}\,b^{29}\,d^4+107338792960\,a^{30}\,b^{27}\,d^4+262062735360\,a^{32}\,b^{25}\,d^4+485059461120\,a^{34}\,b^{23}\,d^4+688908140544\,a^{36}\,b^{21}\,d^4+751987064832\,a^{38}\,b^{19}\,d^4+626086379520\,a^{40}\,b^{17}\,d^4+390506741760\,a^{42}\,b^{15}\,d^4+176637870080\,a^{44}\,b^{13}\,d^4+54704996352\,a^{46}\,b^{11}\,d^4+10374086656\,a^{48}\,b^9\,d^4+908328960\,a^{50}\,b^7\,d^4+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)+\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(117964800\,a^{21}\,b^{42}\,d^6+841482240\,a^{23}\,b^{40}\,d^6-3829399552\,a^{25}\,b^{38}\,d^6-78068580352\,a^{27}\,b^{36}\,d^6-497438162944\,a^{29}\,b^{34}\,d^6-1899895980032\,a^{31}\,b^{32}\,d^6-4972695519232\,a^{33}\,b^{30}\,d^6-9371195015168\,a^{35}\,b^{28}\,d^6-12890720436224\,a^{37}\,b^{26}\,d^6-12726089809920\,a^{39}\,b^{24}\,d^6-8366961197056\,a^{41}\,b^{22}\,d^6-2597662490624\,a^{43}\,b^{20}\,d^6+1171836108800\,a^{45}\,b^{18}\,d^6+1986881650688\,a^{47}\,b^{16}\,d^6+1237583921152\,a^{49}\,b^{14}\,d^6+449507753984\,a^{51}\,b^{12}\,d^6+97476149248\,a^{53}\,b^{10}\,d^6+11931222016\,a^{55}\,b^8\,d^6+1006632960\,a^{57}\,b^6\,d^6+134217728\,a^{59}\,b^4\,d^6+8388608\,a^{61}\,b^2\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)+\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,a^{55}\,b^5\,d^5-923009024\,a^{53}\,b^7\,d^5-4917821440\,a^{51}\,b^9\,d^5+10492051456\,a^{49}\,b^{11}\,d^5+170768990208\,a^{47}\,b^{13}\,d^5+726513221632\,a^{45}\,b^{15}\,d^5+1807474491392\,a^{43}\,b^{17}\,d^5+3053967114240\,a^{41}\,b^{19}\,d^5+3717287903232\,a^{39}\,b^{21}\,d^5+3345249468416\,a^{37}\,b^{23}\,d^5+2240523796480\,a^{35}\,b^{25}\,d^5+1104303620096\,a^{33}\,b^{27}\,d^5+385487994880\,a^{31}\,b^{29}\,d^5+85774565376\,a^{29}\,b^{31}\,d^5+7610564608\,a^{27}\,b^{33}\,d^5-1671430144\,a^{25}\,b^{35}\,d^5-597688320\,a^{23}\,b^{37}\,d^5-58982400\,a^{21}\,b^{39}\,d^5\right)-\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(117964800\,a^{21}\,b^{42}\,d^6+841482240\,a^{23}\,b^{40}\,d^6-3829399552\,a^{25}\,b^{38}\,d^6-78068580352\,a^{27}\,b^{36}\,d^6-497438162944\,a^{29}\,b^{34}\,d^6-1899895980032\,a^{31}\,b^{32}\,d^6-4972695519232\,a^{33}\,b^{30}\,d^6-9371195015168\,a^{35}\,b^{28}\,d^6-12890720436224\,a^{37}\,b^{26}\,d^6-12726089809920\,a^{39}\,b^{24}\,d^6-8366961197056\,a^{41}\,b^{22}\,d^6-2597662490624\,a^{43}\,b^{20}\,d^6+1171836108800\,a^{45}\,b^{18}\,d^6+1986881650688\,a^{47}\,b^{16}\,d^6+1237583921152\,a^{49}\,b^{14}\,d^6+449507753984\,a^{51}\,b^{12}\,d^6+97476149248\,a^{53}\,b^{10}\,d^6+11931222016\,a^{55}\,b^8\,d^6+1006632960\,a^{57}\,b^6\,d^6+134217728\,a^{59}\,b^4\,d^6+8388608\,a^{61}\,b^2\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,a^{64}\,b^2\,d^7+167772160\,a^{62}\,b^4\,d^7+16777216\,a^{60}\,b^6\,d^7+1612709888\,a^{58}\,b^8\,d^7+86608183296\,a^{56}\,b^{10}\,d^7+805425905664\,a^{54}\,b^{12}\,d^7+4030457708544\,a^{52}\,b^{14}\,d^7+13411815522304\,a^{50}\,b^{16}\,d^7+32432589897728\,a^{48}\,b^{18}\,d^7+59767095558144\,a^{46}\,b^{20}\,d^7+86342935511040\,a^{44}\,b^{22}\,d^7+99508717355008\,a^{42}\,b^{24}\,d^7+92434029608960\,a^{40}\,b^{26}\,d^7+69534945902592\,a^{38}\,b^{28}\,d^7+42351565209600\,a^{36}\,b^{30}\,d^7+20769933361152\,a^{34}\,b^{32}\,d^7+8104469069824\,a^{32}\,b^{34}\,d^7+2464648527872\,a^{30}\,b^{36}\,d^7+564502986752\,a^{28}\,b^{38}\,d^7+91857354752\,a^{26}\,b^{40}\,d^7+9500098560\,a^{24}\,b^{42}\,d^7+471859200\,a^{22}\,b^{44}\,d^7\right)-\frac{\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(251658240\,a^{24}\,b^{45}\,d^8+5049942016\,a^{26}\,b^{43}\,d^8+48368713728\,a^{28}\,b^{41}\,d^8+293819383808\,a^{30}\,b^{39}\,d^8+1268458192896\,a^{32}\,b^{37}\,d^8+4132731617280\,a^{34}\,b^{35}\,d^8+10531192700928\,a^{36}\,b^{33}\,d^8+21462823993344\,a^{38}\,b^{31}\,d^8+35469618315264\,a^{40}\,b^{29}\,d^8+47896904859648\,a^{42}\,b^{27}\,d^8+52983958077440\,a^{44}\,b^{25}\,d^8+47896904859648\,a^{46}\,b^{23}\,d^8+35090285461504\,a^{48}\,b^{21}\,d^8+20487396655104\,a^{50}\,b^{19}\,d^8+9230622916608\,a^{52}\,b^{17}\,d^8+2994733056000\,a^{54}\,b^{15}\,d^8+565576728576\,a^{56}\,b^{13}\,d^8-18572378112\,a^{58}\,b^{11}\,d^8-50281316352\,a^{60}\,b^9\,d^8-16089350144\,a^{62}\,b^7\,d^8-2516582400\,a^{64}\,b^5\,d^8-167772160\,a^{66}\,b^3\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,\left(-134217728\,a^{69}\,b^3\,d^9-2550136832\,a^{67}\,b^5\,d^9-22817013760\,a^{65}\,b^7\,d^9-127506841600\,a^{63}\,b^9\,d^9-497276682240\,a^{61}\,b^{11}\,d^9-1430626762752\,a^{59}\,b^{13}\,d^9-3121367482368\,a^{57}\,b^{15}\,d^9-5202279137280\,a^{55}\,b^{17}\,d^9-6502848921600\,a^{53}\,b^{19}\,d^9-5635802398720\,a^{51}\,b^{21}\,d^9-2254320959488\,a^{49}\,b^{23}\,d^9+2254320959488\,a^{47}\,b^{25}\,d^9+5635802398720\,a^{45}\,b^{27}\,d^9+6502848921600\,a^{43}\,b^{29}\,d^9+5202279137280\,a^{41}\,b^{31}\,d^9+3121367482368\,a^{39}\,b^{33}\,d^9+1430626762752\,a^{37}\,b^{35}\,d^9+497276682240\,a^{35}\,b^{37}\,d^9+127506841600\,a^{33}\,b^{39}\,d^9+22817013760\,a^{31}\,b^{41}\,d^9+2550136832\,a^{29}\,b^{43}\,d^9+134217728\,a^{27}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)}{8\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}}\right)\,\sqrt{-a^7\,b^5}\,\left(63\,a^4+46\,a^2\,b^2+15\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^{13}+3\,d\,a^{11}\,b^2+3\,d\,a^9\,b^4+d\,a^7\,b^6\right)}","Not used",1,"(log(29491200*a^22*b^35*d^4 - ((((-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(((((-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 + (tan(c + d*x)^(1/2)*(-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9))/2))/2 - tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7))*(-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - 117964800*a^21*b^42*d^6 - 841482240*a^23*b^40*d^6 + 3829399552*a^25*b^38*d^6 + 78068580352*a^27*b^36*d^6 + 497438162944*a^29*b^34*d^6 + 1899895980032*a^31*b^32*d^6 + 4972695519232*a^33*b^30*d^6 + 9371195015168*a^35*b^28*d^6 + 12890720436224*a^37*b^26*d^6 + 12726089809920*a^39*b^24*d^6 + 8366961197056*a^41*b^22*d^6 + 2597662490624*a^43*b^20*d^6 - 1171836108800*a^45*b^18*d^6 - 1986881650688*a^47*b^16*d^6 - 1237583921152*a^49*b^14*d^6 - 449507753984*a^51*b^12*d^6 - 97476149248*a^53*b^10*d^6 - 11931222016*a^55*b^8*d^6 - 1006632960*a^57*b^6*d^6 - 134217728*a^59*b^4*d^6 - 8388608*a^61*b^2*d^6))/2 + tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5))*(-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + 460062720*a^24*b^33*d^4 + 3439722496*a^26*b^31*d^4 + 16227237888*a^28*b^29*d^4 + 53669396480*a^30*b^27*d^4 + 131031367680*a^32*b^25*d^4 + 242529730560*a^34*b^23*d^4 + 344454070272*a^36*b^21*d^4 + 375993532416*a^38*b^19*d^4 + 313043189760*a^40*b^17*d^4 + 195253370880*a^42*b^15*d^4 + 88318935040*a^44*b^13*d^4 + 27352498176*a^46*b^11*d^4 + 5187043328*a^48*b^9*d^4 + 454164480*a^50*b^7*d^4)*(-1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - log(29491200*a^22*b^35*d^4 - ((-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2)*(((-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 - tan(c + d*x)^(1/2)*(-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9)) + tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7))*(-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2) - 117964800*a^21*b^42*d^6 - 841482240*a^23*b^40*d^6 + 3829399552*a^25*b^38*d^6 + 78068580352*a^27*b^36*d^6 + 497438162944*a^29*b^34*d^6 + 1899895980032*a^31*b^32*d^6 + 4972695519232*a^33*b^30*d^6 + 9371195015168*a^35*b^28*d^6 + 12890720436224*a^37*b^26*d^6 + 12726089809920*a^39*b^24*d^6 + 8366961197056*a^41*b^22*d^6 + 2597662490624*a^43*b^20*d^6 - 1171836108800*a^45*b^18*d^6 - 1986881650688*a^47*b^16*d^6 - 1237583921152*a^49*b^14*d^6 - 449507753984*a^51*b^12*d^6 - 97476149248*a^53*b^10*d^6 - 11931222016*a^55*b^8*d^6 - 1006632960*a^57*b^6*d^6 - 134217728*a^59*b^4*d^6 - 8388608*a^61*b^2*d^6) - tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5))*(-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2) + 460062720*a^24*b^33*d^4 + 3439722496*a^26*b^31*d^4 + 16227237888*a^28*b^29*d^4 + 53669396480*a^30*b^27*d^4 + 131031367680*a^32*b^25*d^4 + 242529730560*a^34*b^23*d^4 + 344454070272*a^36*b^21*d^4 + 375993532416*a^38*b^19*d^4 + 313043189760*a^40*b^17*d^4 + 195253370880*a^42*b^15*d^4 + 88318935040*a^44*b^13*d^4 + 27352498176*a^46*b^11*d^4 + 5187043328*a^48*b^9*d^4 + 454164480*a^50*b^7*d^4)*(-1/(4*(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i)))^(1/2) - (2/a + (tan(c + d*x)^2*(15*b^6 + 31*a^2*b^4 + 8*a^4*b^2))/(4*a^3*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(16*a^4*b + 25*b^5 + 49*a^2*b^3))/(4*a^2*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d*tan(c + d*x)^(1/2) + b^2*d*tan(c + d*x)^(5/2) + 2*a*b*d*tan(c + d*x)^(3/2)) + atan((((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 + tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9)) - tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - 117964800*a^21*b^42*d^6 - 841482240*a^23*b^40*d^6 + 3829399552*a^25*b^38*d^6 + 78068580352*a^27*b^36*d^6 + 497438162944*a^29*b^34*d^6 + 1899895980032*a^31*b^32*d^6 + 4972695519232*a^33*b^30*d^6 + 9371195015168*a^35*b^28*d^6 + 12890720436224*a^37*b^26*d^6 + 12726089809920*a^39*b^24*d^6 + 8366961197056*a^41*b^22*d^6 + 2597662490624*a^43*b^20*d^6 - 1171836108800*a^45*b^18*d^6 - 1986881650688*a^47*b^16*d^6 - 1237583921152*a^49*b^14*d^6 - 449507753984*a^51*b^12*d^6 - 97476149248*a^53*b^10*d^6 - 11931222016*a^55*b^8*d^6 - 1006632960*a^57*b^6*d^6 - 134217728*a^59*b^4*d^6 - 8388608*a^61*b^2*d^6) + tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i - ((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 - tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9)) + tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - 117964800*a^21*b^42*d^6 - 841482240*a^23*b^40*d^6 + 3829399552*a^25*b^38*d^6 + 78068580352*a^27*b^36*d^6 + 497438162944*a^29*b^34*d^6 + 1899895980032*a^31*b^32*d^6 + 4972695519232*a^33*b^30*d^6 + 9371195015168*a^35*b^28*d^6 + 12890720436224*a^37*b^26*d^6 + 12726089809920*a^39*b^24*d^6 + 8366961197056*a^41*b^22*d^6 + 2597662490624*a^43*b^20*d^6 - 1171836108800*a^45*b^18*d^6 - 1986881650688*a^47*b^16*d^6 - 1237583921152*a^49*b^14*d^6 - 449507753984*a^51*b^12*d^6 - 97476149248*a^53*b^10*d^6 - 11931222016*a^55*b^8*d^6 - 1006632960*a^57*b^6*d^6 - 134217728*a^59*b^4*d^6 - 8388608*a^61*b^2*d^6) - tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i)/(58982400*a^22*b^35*d^4 - ((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 - tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9)) + tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - 117964800*a^21*b^42*d^6 - 841482240*a^23*b^40*d^6 + 3829399552*a^25*b^38*d^6 + 78068580352*a^27*b^36*d^6 + 497438162944*a^29*b^34*d^6 + 1899895980032*a^31*b^32*d^6 + 4972695519232*a^33*b^30*d^6 + 9371195015168*a^35*b^28*d^6 + 12890720436224*a^37*b^26*d^6 + 12726089809920*a^39*b^24*d^6 + 8366961197056*a^41*b^22*d^6 + 2597662490624*a^43*b^20*d^6 - 1171836108800*a^45*b^18*d^6 - 1986881650688*a^47*b^16*d^6 - 1237583921152*a^49*b^14*d^6 - 449507753984*a^51*b^12*d^6 - 97476149248*a^53*b^10*d^6 - 11931222016*a^55*b^8*d^6 - 1006632960*a^57*b^6*d^6 - 134217728*a^59*b^4*d^6 - 8388608*a^61*b^2*d^6) - tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - ((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(((-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 + tan(c + d*x)^(1/2)*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9)) - tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - 117964800*a^21*b^42*d^6 - 841482240*a^23*b^40*d^6 + 3829399552*a^25*b^38*d^6 + 78068580352*a^27*b^36*d^6 + 497438162944*a^29*b^34*d^6 + 1899895980032*a^31*b^32*d^6 + 4972695519232*a^33*b^30*d^6 + 9371195015168*a^35*b^28*d^6 + 12890720436224*a^37*b^26*d^6 + 12726089809920*a^39*b^24*d^6 + 8366961197056*a^41*b^22*d^6 + 2597662490624*a^43*b^20*d^6 - 1171836108800*a^45*b^18*d^6 - 1986881650688*a^47*b^16*d^6 - 1237583921152*a^49*b^14*d^6 - 449507753984*a^51*b^12*d^6 - 97476149248*a^53*b^10*d^6 - 11931222016*a^55*b^8*d^6 - 1006632960*a^57*b^6*d^6 - 134217728*a^59*b^4*d^6 - 8388608*a^61*b^2*d^6) + tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + 920125440*a^24*b^33*d^4 + 6879444992*a^26*b^31*d^4 + 32454475776*a^28*b^29*d^4 + 107338792960*a^30*b^27*d^4 + 262062735360*a^32*b^25*d^4 + 485059461120*a^34*b^23*d^4 + 688908140544*a^36*b^21*d^4 + 751987064832*a^38*b^19*d^4 + 626086379520*a^40*b^17*d^4 + 390506741760*a^42*b^15*d^4 + 176637870080*a^44*b^13*d^4 + 54704996352*a^46*b^11*d^4 + 10374086656*a^48*b^9*d^4 + 908328960*a^50*b^7*d^4))*(-1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i + (atan((((tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5) + ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(117964800*a^21*b^42*d^6 + 841482240*a^23*b^40*d^6 - 3829399552*a^25*b^38*d^6 - 78068580352*a^27*b^36*d^6 - 497438162944*a^29*b^34*d^6 - 1899895980032*a^31*b^32*d^6 - 4972695519232*a^33*b^30*d^6 - 9371195015168*a^35*b^28*d^6 - 12890720436224*a^37*b^26*d^6 - 12726089809920*a^39*b^24*d^6 - 8366961197056*a^41*b^22*d^6 - 2597662490624*a^43*b^20*d^6 + 1171836108800*a^45*b^18*d^6 + 1986881650688*a^47*b^16*d^6 + 1237583921152*a^49*b^14*d^6 + 449507753984*a^51*b^12*d^6 + 97476149248*a^53*b^10*d^6 + 11931222016*a^55*b^8*d^6 + 1006632960*a^57*b^6*d^6 + 134217728*a^59*b^4*d^6 + 8388608*a^61*b^2*d^6 - ((tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7) + ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 - (tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*1i)/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)) + ((tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5) - ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(117964800*a^21*b^42*d^6 + 841482240*a^23*b^40*d^6 - 3829399552*a^25*b^38*d^6 - 78068580352*a^27*b^36*d^6 - 497438162944*a^29*b^34*d^6 - 1899895980032*a^31*b^32*d^6 - 4972695519232*a^33*b^30*d^6 - 9371195015168*a^35*b^28*d^6 - 12890720436224*a^37*b^26*d^6 - 12726089809920*a^39*b^24*d^6 - 8366961197056*a^41*b^22*d^6 - 2597662490624*a^43*b^20*d^6 + 1171836108800*a^45*b^18*d^6 + 1986881650688*a^47*b^16*d^6 + 1237583921152*a^49*b^14*d^6 + 449507753984*a^51*b^12*d^6 + 97476149248*a^53*b^10*d^6 + 11931222016*a^55*b^8*d^6 + 1006632960*a^57*b^6*d^6 + 134217728*a^59*b^4*d^6 + 8388608*a^61*b^2*d^6 + ((tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7) - ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*1i)/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))/(58982400*a^22*b^35*d^4 + 920125440*a^24*b^33*d^4 + 6879444992*a^26*b^31*d^4 + 32454475776*a^28*b^29*d^4 + 107338792960*a^30*b^27*d^4 + 262062735360*a^32*b^25*d^4 + 485059461120*a^34*b^23*d^4 + 688908140544*a^36*b^21*d^4 + 751987064832*a^38*b^19*d^4 + 626086379520*a^40*b^17*d^4 + 390506741760*a^42*b^15*d^4 + 176637870080*a^44*b^13*d^4 + 54704996352*a^46*b^11*d^4 + 10374086656*a^48*b^9*d^4 + 908328960*a^50*b^7*d^4 + ((tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5) + ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(117964800*a^21*b^42*d^6 + 841482240*a^23*b^40*d^6 - 3829399552*a^25*b^38*d^6 - 78068580352*a^27*b^36*d^6 - 497438162944*a^29*b^34*d^6 - 1899895980032*a^31*b^32*d^6 - 4972695519232*a^33*b^30*d^6 - 9371195015168*a^35*b^28*d^6 - 12890720436224*a^37*b^26*d^6 - 12726089809920*a^39*b^24*d^6 - 8366961197056*a^41*b^22*d^6 - 2597662490624*a^43*b^20*d^6 + 1171836108800*a^45*b^18*d^6 + 1986881650688*a^47*b^16*d^6 + 1237583921152*a^49*b^14*d^6 + 449507753984*a^51*b^12*d^6 + 97476149248*a^53*b^10*d^6 + 11931222016*a^55*b^8*d^6 + 1006632960*a^57*b^6*d^6 + 134217728*a^59*b^4*d^6 + 8388608*a^61*b^2*d^6 - ((tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7) + ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 - (tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)) - ((tan(c + d*x)^(1/2)*(7610564608*a^27*b^33*d^5 - 597688320*a^23*b^37*d^5 - 1671430144*a^25*b^35*d^5 - 58982400*a^21*b^39*d^5 + 85774565376*a^29*b^31*d^5 + 385487994880*a^31*b^29*d^5 + 1104303620096*a^33*b^27*d^5 + 2240523796480*a^35*b^25*d^5 + 3345249468416*a^37*b^23*d^5 + 3717287903232*a^39*b^21*d^5 + 3053967114240*a^41*b^19*d^5 + 1807474491392*a^43*b^17*d^5 + 726513221632*a^45*b^15*d^5 + 170768990208*a^47*b^13*d^5 + 10492051456*a^49*b^11*d^5 - 4917821440*a^51*b^9*d^5 - 923009024*a^53*b^7*d^5 + 8388608*a^55*b^5*d^5) - ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(117964800*a^21*b^42*d^6 + 841482240*a^23*b^40*d^6 - 3829399552*a^25*b^38*d^6 - 78068580352*a^27*b^36*d^6 - 497438162944*a^29*b^34*d^6 - 1899895980032*a^31*b^32*d^6 - 4972695519232*a^33*b^30*d^6 - 9371195015168*a^35*b^28*d^6 - 12890720436224*a^37*b^26*d^6 - 12726089809920*a^39*b^24*d^6 - 8366961197056*a^41*b^22*d^6 - 2597662490624*a^43*b^20*d^6 + 1171836108800*a^45*b^18*d^6 + 1986881650688*a^47*b^16*d^6 + 1237583921152*a^49*b^14*d^6 + 449507753984*a^51*b^12*d^6 + 97476149248*a^53*b^10*d^6 + 11931222016*a^55*b^8*d^6 + 1006632960*a^57*b^6*d^6 + 134217728*a^59*b^4*d^6 + 8388608*a^61*b^2*d^6 + ((tan(c + d*x)^(1/2)*(471859200*a^22*b^44*d^7 + 9500098560*a^24*b^42*d^7 + 91857354752*a^26*b^40*d^7 + 564502986752*a^28*b^38*d^7 + 2464648527872*a^30*b^36*d^7 + 8104469069824*a^32*b^34*d^7 + 20769933361152*a^34*b^32*d^7 + 42351565209600*a^36*b^30*d^7 + 69534945902592*a^38*b^28*d^7 + 92434029608960*a^40*b^26*d^7 + 99508717355008*a^42*b^24*d^7 + 86342935511040*a^44*b^22*d^7 + 59767095558144*a^46*b^20*d^7 + 32432589897728*a^48*b^18*d^7 + 13411815522304*a^50*b^16*d^7 + 4030457708544*a^52*b^14*d^7 + 805425905664*a^54*b^12*d^7 + 86608183296*a^56*b^10*d^7 + 1612709888*a^58*b^8*d^7 + 16777216*a^60*b^6*d^7 + 167772160*a^62*b^4*d^7 + 16777216*a^64*b^2*d^7) - ((-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(251658240*a^24*b^45*d^8 + 5049942016*a^26*b^43*d^8 + 48368713728*a^28*b^41*d^8 + 293819383808*a^30*b^39*d^8 + 1268458192896*a^32*b^37*d^8 + 4132731617280*a^34*b^35*d^8 + 10531192700928*a^36*b^33*d^8 + 21462823993344*a^38*b^31*d^8 + 35469618315264*a^40*b^29*d^8 + 47896904859648*a^42*b^27*d^8 + 52983958077440*a^44*b^25*d^8 + 47896904859648*a^46*b^23*d^8 + 35090285461504*a^48*b^21*d^8 + 20487396655104*a^50*b^19*d^8 + 9230622916608*a^52*b^17*d^8 + 2994733056000*a^54*b^15*d^8 + 565576728576*a^56*b^13*d^8 - 18572378112*a^58*b^11*d^8 - 50281316352*a^60*b^9*d^8 - 16089350144*a^62*b^7*d^8 - 2516582400*a^64*b^5*d^8 - 167772160*a^66*b^3*d^8 + (tan(c + d*x)^(1/2)*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*(134217728*a^27*b^45*d^9 + 2550136832*a^29*b^43*d^9 + 22817013760*a^31*b^41*d^9 + 127506841600*a^33*b^39*d^9 + 497276682240*a^35*b^37*d^9 + 1430626762752*a^37*b^35*d^9 + 3121367482368*a^39*b^33*d^9 + 5202279137280*a^41*b^31*d^9 + 6502848921600*a^43*b^29*d^9 + 5635802398720*a^45*b^27*d^9 + 2254320959488*a^47*b^25*d^9 - 2254320959488*a^49*b^23*d^9 - 5635802398720*a^51*b^21*d^9 - 6502848921600*a^53*b^19*d^9 - 5202279137280*a^55*b^17*d^9 - 3121367482368*a^57*b^15*d^9 - 1430626762752*a^59*b^13*d^9 - 497276682240*a^61*b^11*d^9 - 127506841600*a^63*b^9*d^9 - 22817013760*a^65*b^7*d^9 - 2550136832*a^67*b^5*d^9 - 134217728*a^69*b^3*d^9))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d)))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2))/(8*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))))*(-a^7*b^5)^(1/2)*(63*a^4 + 15*b^4 + 46*a^2*b^2)*1i)/(4*(a^13*d + a^7*b^6*d + 3*a^9*b^4*d + 3*a^11*b^2*d))","B"
607,1,20088,493,18.879952,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3),x)","\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-3211264000\,a^{29}\,b^{43}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6+12756182892544\,a^{43}\,b^{29}\,d^6+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(12756182892544\,a^{43}\,b^{29}\,d^6-3211264000\,a^{29}\,b^{43}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-3211264000\,a^{29}\,b^{43}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6+12756182892544\,a^{43}\,b^{29}\,d^6+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)-\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(12756182892544\,a^{43}\,b^{29}\,d^6-3211264000\,a^{29}\,b^{43}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)+\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6\right)\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}+321126400\,a^{28}\,b^{38}\,d^4+5082972160\,a^{30}\,b^{36}\,d^4+37638373376\,a^{32}\,b^{34}\,d^4+172475023360\,a^{34}\,b^{32}\,d^4+545435942912\,a^{36}\,b^{30}\,d^4+1257037627392\,a^{38}\,b^{28}\,d^4+2173340221440\,a^{40}\,b^{26}\,d^4+2858032300032\,a^{42}\,b^{24}\,d^4+2865746411520\,a^{44}\,b^{22}\,d^4+2173002317824\,a^{46}\,b^{20}\,d^4+1219756294144\,a^{48}\,b^{18}\,d^4+486020218880\,a^{50}\,b^{16}\,d^4+126274502656\,a^{52}\,b^{14}\,d^4+17141596160\,a^{54}\,b^{12}\,d^4+71565312\,a^{56}\,b^{10}\,d^4-207618048\,a^{58}\,b^8\,d^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(-a^6\,d^2+a^5\,b\,d^2\,6{}\mathrm{i}+15\,a^4\,b^2\,d^2-a^3\,b^3\,d^2\,20{}\mathrm{i}-15\,a^2\,b^4\,d^2+a\,b^5\,d^2\,6{}\mathrm{i}+b^6\,d^2\right)}}\,2{}\mathrm{i}+\frac{\frac{14\,b\,\mathrm{tan}\left(c+d\,x\right)}{3\,a^2}-\frac{2}{3\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(136\,a^4\,b^2+335\,a^2\,b^4+175\,b^6\right)}{12\,a^3\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(24\,a^4\,b^2+67\,a^2\,b^4+35\,b^6\right)}{4\,a^4\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+b^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}+2\,a\,b\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)}{2}-\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(6378091446272\,a^{43}\,b^{29}\,d^6-1605632000\,a^{29}\,b^{43}\,d^6-23809228800\,a^{31}\,b^{41}\,d^6-159373066240\,a^{33}\,b^{39}\,d^6-624177446912\,a^{35}\,b^{37}\,d^6-1519159083008\,a^{37}\,b^{35}\,d^6-2069728591872\,a^{39}\,b^{33}\,d^6-126074486784\,a^{41}\,b^{31}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)}{2}+\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(293601280\,a^{32}\,b^{46}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{4}+5846859776\,a^{34}\,b^{44}\,d^8+55306092544\,a^{36}\,b^{42}\,d^8+330217553920\,a^{38}\,b^{40}\,d^8+1394807406592\,a^{40}\,b^{38}\,d^8+4426517446656\,a^{42}\,b^{36}\,d^8+10939332034560\,a^{44}\,b^{34}\,d^8+21526141206528\,a^{46}\,b^{32}\,d^8+34187016929280\,a^{48}\,b^{30}\,d^8+44128960249856\,a^{50}\,b^{28}\,d^8+46358182494208\,a^{52}\,b^{26}\,d^8+39446909026304\,a^{54}\,b^{24}\,d^8+26844216688640\,a^{56}\,b^{22}\,d^8+14232112332800\,a^{58}\,b^{20}\,d^8+5558224551936\,a^{60}\,b^{18}\,d^8+1367309549568\,a^{62}\,b^{16}\,d^8+55188652032\,a^{64}\,b^{14}\,d^8-110654128128\,a^{66}\,b^{12}\,d^8-47773122560\,a^{68}\,b^{10}\,d^8-9151971328\,a^{70}\,b^8\,d^8-486539264\,a^{72}\,b^6\,d^8+117440512\,a^{74}\,b^4\,d^8+16777216\,a^{76}\,b^2\,d^8\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+16287812550656\,a^{45}\,b^{27}\,d^6+24362961338368\,a^{47}\,b^{25}\,d^6+25407489310720\,a^{49}\,b^{23}\,d^6+19308207931392\,a^{51}\,b^{21}\,d^6+10742775414784\,a^{53}\,b^{19}\,d^6+4292107829248\,a^{55}\,b^{17}\,d^6+1177854935040\,a^{57}\,b^{15}\,d^6+205673988096\,a^{59}\,b^{13}\,d^6+21437874176\,a^{61}\,b^{11}\,d^6+2270953472\,a^{63}\,b^9\,d^6+503316480\,a^{65}\,b^7\,d^6+67108864\,a^{67}\,b^5\,d^6+4194304\,a^{69}\,b^3\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}+\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)}{2}+\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)}{2}-\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{4}+293601280\,a^{32}\,b^{46}\,d^8+5846859776\,a^{34}\,b^{44}\,d^8+55306092544\,a^{36}\,b^{42}\,d^8+330217553920\,a^{38}\,b^{40}\,d^8+1394807406592\,a^{40}\,b^{38}\,d^8+4426517446656\,a^{42}\,b^{36}\,d^8+10939332034560\,a^{44}\,b^{34}\,d^8+21526141206528\,a^{46}\,b^{32}\,d^8+34187016929280\,a^{48}\,b^{30}\,d^8+44128960249856\,a^{50}\,b^{28}\,d^8+46358182494208\,a^{52}\,b^{26}\,d^8+39446909026304\,a^{54}\,b^{24}\,d^8+26844216688640\,a^{56}\,b^{22}\,d^8+14232112332800\,a^{58}\,b^{20}\,d^8+5558224551936\,a^{60}\,b^{18}\,d^8+1367309549568\,a^{62}\,b^{16}\,d^8+55188652032\,a^{64}\,b^{14}\,d^8-110654128128\,a^{66}\,b^{12}\,d^8-47773122560\,a^{68}\,b^{10}\,d^8-9151971328\,a^{70}\,b^8\,d^8-486539264\,a^{72}\,b^6\,d^8+117440512\,a^{74}\,b^4\,d^8+16777216\,a^{76}\,b^2\,d^8\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-1605632000\,a^{29}\,b^{43}\,d^6-23809228800\,a^{31}\,b^{41}\,d^6-159373066240\,a^{33}\,b^{39}\,d^6-624177446912\,a^{35}\,b^{37}\,d^6-1519159083008\,a^{37}\,b^{35}\,d^6-2069728591872\,a^{39}\,b^{33}\,d^6-126074486784\,a^{41}\,b^{31}\,d^6+6378091446272\,a^{43}\,b^{29}\,d^6+16287812550656\,a^{45}\,b^{27}\,d^6+24362961338368\,a^{47}\,b^{25}\,d^6+25407489310720\,a^{49}\,b^{23}\,d^6+19308207931392\,a^{51}\,b^{21}\,d^6+10742775414784\,a^{53}\,b^{19}\,d^6+4292107829248\,a^{55}\,b^{17}\,d^6+1177854935040\,a^{57}\,b^{15}\,d^6+205673988096\,a^{59}\,b^{13}\,d^6+21437874176\,a^{61}\,b^{11}\,d^6+2270953472\,a^{63}\,b^9\,d^6+503316480\,a^{65}\,b^7\,d^6+67108864\,a^{67}\,b^5\,d^6+4194304\,a^{69}\,b^3\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{321126400\,a^{28}\,b^{38}\,d^4+\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)}{2}+\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)}{2}-\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{4}+293601280\,a^{32}\,b^{46}\,d^8+5846859776\,a^{34}\,b^{44}\,d^8+55306092544\,a^{36}\,b^{42}\,d^8+330217553920\,a^{38}\,b^{40}\,d^8+1394807406592\,a^{40}\,b^{38}\,d^8+4426517446656\,a^{42}\,b^{36}\,d^8+10939332034560\,a^{44}\,b^{34}\,d^8+21526141206528\,a^{46}\,b^{32}\,d^8+34187016929280\,a^{48}\,b^{30}\,d^8+44128960249856\,a^{50}\,b^{28}\,d^8+46358182494208\,a^{52}\,b^{26}\,d^8+39446909026304\,a^{54}\,b^{24}\,d^8+26844216688640\,a^{56}\,b^{22}\,d^8+14232112332800\,a^{58}\,b^{20}\,d^8+5558224551936\,a^{60}\,b^{18}\,d^8+1367309549568\,a^{62}\,b^{16}\,d^8+55188652032\,a^{64}\,b^{14}\,d^8-110654128128\,a^{66}\,b^{12}\,d^8-47773122560\,a^{68}\,b^{10}\,d^8-9151971328\,a^{70}\,b^8\,d^8-486539264\,a^{72}\,b^6\,d^8+117440512\,a^{74}\,b^4\,d^8+16777216\,a^{76}\,b^2\,d^8\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}-1605632000\,a^{29}\,b^{43}\,d^6-23809228800\,a^{31}\,b^{41}\,d^6-159373066240\,a^{33}\,b^{39}\,d^6-624177446912\,a^{35}\,b^{37}\,d^6-1519159083008\,a^{37}\,b^{35}\,d^6-2069728591872\,a^{39}\,b^{33}\,d^6-126074486784\,a^{41}\,b^{31}\,d^6+6378091446272\,a^{43}\,b^{29}\,d^6+16287812550656\,a^{45}\,b^{27}\,d^6+24362961338368\,a^{47}\,b^{25}\,d^6+25407489310720\,a^{49}\,b^{23}\,d^6+19308207931392\,a^{51}\,b^{21}\,d^6+10742775414784\,a^{53}\,b^{19}\,d^6+4292107829248\,a^{55}\,b^{17}\,d^6+1177854935040\,a^{57}\,b^{15}\,d^6+205673988096\,a^{59}\,b^{13}\,d^6+21437874176\,a^{61}\,b^{11}\,d^6+2270953472\,a^{63}\,b^9\,d^6+503316480\,a^{65}\,b^7\,d^6+67108864\,a^{67}\,b^5\,d^6+4194304\,a^{69}\,b^3\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}-\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)}{2}-\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(6378091446272\,a^{43}\,b^{29}\,d^6-1605632000\,a^{29}\,b^{43}\,d^6-23809228800\,a^{31}\,b^{41}\,d^6-159373066240\,a^{33}\,b^{39}\,d^6-624177446912\,a^{35}\,b^{37}\,d^6-1519159083008\,a^{37}\,b^{35}\,d^6-2069728591872\,a^{39}\,b^{33}\,d^6-126074486784\,a^{41}\,b^{31}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)}{2}+\frac{\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(293601280\,a^{32}\,b^{46}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{4}+5846859776\,a^{34}\,b^{44}\,d^8+55306092544\,a^{36}\,b^{42}\,d^8+330217553920\,a^{38}\,b^{40}\,d^8+1394807406592\,a^{40}\,b^{38}\,d^8+4426517446656\,a^{42}\,b^{36}\,d^8+10939332034560\,a^{44}\,b^{34}\,d^8+21526141206528\,a^{46}\,b^{32}\,d^8+34187016929280\,a^{48}\,b^{30}\,d^8+44128960249856\,a^{50}\,b^{28}\,d^8+46358182494208\,a^{52}\,b^{26}\,d^8+39446909026304\,a^{54}\,b^{24}\,d^8+26844216688640\,a^{56}\,b^{22}\,d^8+14232112332800\,a^{58}\,b^{20}\,d^8+5558224551936\,a^{60}\,b^{18}\,d^8+1367309549568\,a^{62}\,b^{16}\,d^8+55188652032\,a^{64}\,b^{14}\,d^8-110654128128\,a^{66}\,b^{12}\,d^8-47773122560\,a^{68}\,b^{10}\,d^8-9151971328\,a^{70}\,b^8\,d^8-486539264\,a^{72}\,b^6\,d^8+117440512\,a^{74}\,b^4\,d^8+16777216\,a^{76}\,b^2\,d^8\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}}{2}+16287812550656\,a^{45}\,b^{27}\,d^6+24362961338368\,a^{47}\,b^{25}\,d^6+25407489310720\,a^{49}\,b^{23}\,d^6+19308207931392\,a^{51}\,b^{21}\,d^6+10742775414784\,a^{53}\,b^{19}\,d^6+4292107829248\,a^{55}\,b^{17}\,d^6+1177854935040\,a^{57}\,b^{15}\,d^6+205673988096\,a^{59}\,b^{13}\,d^6+21437874176\,a^{61}\,b^{11}\,d^6+2270953472\,a^{63}\,b^9\,d^6+503316480\,a^{65}\,b^7\,d^6+67108864\,a^{67}\,b^5\,d^6+4194304\,a^{69}\,b^3\,d^6\right)}{2}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}+5082972160\,a^{30}\,b^{36}\,d^4+37638373376\,a^{32}\,b^{34}\,d^4+172475023360\,a^{34}\,b^{32}\,d^4+545435942912\,a^{36}\,b^{30}\,d^4+1257037627392\,a^{38}\,b^{28}\,d^4+2173340221440\,a^{40}\,b^{26}\,d^4+2858032300032\,a^{42}\,b^{24}\,d^4+2865746411520\,a^{44}\,b^{22}\,d^4+2173002317824\,a^{46}\,b^{20}\,d^4+1219756294144\,a^{48}\,b^{18}\,d^4+486020218880\,a^{50}\,b^{16}\,d^4+126274502656\,a^{52}\,b^{14}\,d^4+17141596160\,a^{54}\,b^{12}\,d^4+71565312\,a^{56}\,b^{10}\,d^4-207618048\,a^{58}\,b^8\,d^4}\right)\,\sqrt{\frac{1}{-a^6\,d^2\,1{}\mathrm{i}+6\,a^5\,b\,d^2+a^4\,b^2\,d^2\,15{}\mathrm{i}-20\,a^3\,b^3\,d^2-a^2\,b^4\,d^2\,15{}\mathrm{i}+6\,a\,b^5\,d^2+b^6\,d^2\,1{}\mathrm{i}}}\,1{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)-\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(12756182892544\,a^{43}\,b^{29}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6-3211264000\,a^{29}\,b^{43}\,d^6+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)+\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)+\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(12756182892544\,a^{43}\,b^{29}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6-3211264000\,a^{29}\,b^{43}\,d^6+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)-\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,1{}\mathrm{i}}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}}{321126400\,a^{28}\,b^{38}\,d^4+5082972160\,a^{30}\,b^{36}\,d^4+37638373376\,a^{32}\,b^{34}\,d^4+172475023360\,a^{34}\,b^{32}\,d^4+545435942912\,a^{36}\,b^{30}\,d^4+1257037627392\,a^{38}\,b^{28}\,d^4+2173340221440\,a^{40}\,b^{26}\,d^4+2858032300032\,a^{42}\,b^{24}\,d^4+2865746411520\,a^{44}\,b^{22}\,d^4+2173002317824\,a^{46}\,b^{20}\,d^4+1219756294144\,a^{48}\,b^{18}\,d^4+486020218880\,a^{50}\,b^{16}\,d^4+126274502656\,a^{52}\,b^{14}\,d^4+17141596160\,a^{54}\,b^{12}\,d^4+71565312\,a^{56}\,b^{10}\,d^4-207618048\,a^{58}\,b^8\,d^4-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)-\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(12756182892544\,a^{43}\,b^{29}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6-3211264000\,a^{29}\,b^{43}\,d^6+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)+\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8388608\,a^{64}\,b^5\,d^5-117440512\,a^{62}\,b^7\,d^5-3332636672\,a^{60}\,b^9\,d^5-18624806912\,a^{58}\,b^{11}\,d^5+1851785216\,a^{56}\,b^{13}\,d^5+396976193536\,a^{54}\,b^{15}\,d^5+1966525644800\,a^{52}\,b^{17}\,d^5+5375636013056\,a^{50}\,b^{19}\,d^5+9861255397376\,a^{48}\,b^{21}\,d^5+12996430528512\,a^{46}\,b^{23}\,d^5+12661071282176\,a^{44}\,b^{25}\,d^5+9182617010176\,a^{42}\,b^{27}\,d^5+4902111674368\,a^{40}\,b^{29}\,d^5+1855390220288\,a^{38}\,b^{31}\,d^5+451224272896\,a^{36}\,b^{33}\,d^5+47691333632\,a^{34}\,b^{35}\,d^5-7535067136\,a^{32}\,b^{37}\,d^5-3156213760\,a^{30}\,b^{39}\,d^5-321126400\,a^{28}\,b^{41}\,d^5\right)+\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(12756182892544\,a^{43}\,b^{29}\,d^6-47618457600\,a^{31}\,b^{41}\,d^6-318746132480\,a^{33}\,b^{39}\,d^6-1248354893824\,a^{35}\,b^{37}\,d^6-3038318166016\,a^{37}\,b^{35}\,d^6-4139457183744\,a^{39}\,b^{33}\,d^6-252148973568\,a^{41}\,b^{31}\,d^6-3211264000\,a^{29}\,b^{43}\,d^6+32575625101312\,a^{45}\,b^{27}\,d^6+48725922676736\,a^{47}\,b^{25}\,d^6+50814978621440\,a^{49}\,b^{23}\,d^6+38616415862784\,a^{51}\,b^{21}\,d^6+21485550829568\,a^{53}\,b^{19}\,d^6+8584215658496\,a^{55}\,b^{17}\,d^6+2355709870080\,a^{57}\,b^{15}\,d^6+411347976192\,a^{59}\,b^{13}\,d^6+42875748352\,a^{61}\,b^{11}\,d^6+4541906944\,a^{63}\,b^9\,d^6+1006632960\,a^{65}\,b^7\,d^6+134217728\,a^{67}\,b^5\,d^6+8388608\,a^{69}\,b^3\,d^6+\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16777216\,a^{73}\,b^2\,d^7-167772160\,a^{71}\,b^4\,d^7-16777216\,a^{69}\,b^6\,d^7+6710886400\,a^{67}\,b^8\,d^7+62631444480\,a^{65}\,b^{10}\,d^7+460706545664\,a^{63}\,b^{12}\,d^7+2725695717376\,a^{61}\,b^{14}\,d^7+12009902964736\,a^{59}\,b^{16}\,d^7+39238359842816\,a^{57}\,b^{18}\,d^7+97245760323584\,a^{55}\,b^{20}\,d^7+187202969534464\,a^{53}\,b^{22}\,d^7+285130161651712\,a^{51}\,b^{24}\,d^7+347997439262720\,a^{49}\,b^{26}\,d^7+342917730271232\,a^{47}\,b^{28}\,d^7+273612095356928\,a^{45}\,b^{30}\,d^7+176470173417472\,a^{43}\,b^{32}\,d^7+91385554272256\,a^{41}\,b^{34}\,d^7+37510046547968\,a^{39}\,b^{36}\,d^7+11943926562816\,a^{37}\,b^{38}\,d^7+2849006157824\,a^{35}\,b^{40}\,d^7+479763365888\,a^{33}\,b^{42}\,d^7+50939822080\,a^{31}\,b^{44}\,d^7+2569011200\,a^{29}\,b^{46}\,d^7\right)-\frac{\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(587202560\,a^{32}\,b^{46}\,d^8+11693719552\,a^{34}\,b^{44}\,d^8+110612185088\,a^{36}\,b^{42}\,d^8+660435107840\,a^{38}\,b^{40}\,d^8+2789614813184\,a^{40}\,b^{38}\,d^8+8853034893312\,a^{42}\,b^{36}\,d^8+21878664069120\,a^{44}\,b^{34}\,d^8+43052282413056\,a^{46}\,b^{32}\,d^8+68374033858560\,a^{48}\,b^{30}\,d^8+88257920499712\,a^{50}\,b^{28}\,d^8+92716364988416\,a^{52}\,b^{26}\,d^8+78893818052608\,a^{54}\,b^{24}\,d^8+53688433377280\,a^{56}\,b^{22}\,d^8+28464224665600\,a^{58}\,b^{20}\,d^8+11116449103872\,a^{60}\,b^{18}\,d^8+2734619099136\,a^{62}\,b^{16}\,d^8+110377304064\,a^{64}\,b^{14}\,d^8-221308256256\,a^{66}\,b^{12}\,d^8-95546245120\,a^{68}\,b^{10}\,d^8-18303942656\,a^{70}\,b^8\,d^8-973078528\,a^{72}\,b^6\,d^8+234881024\,a^{74}\,b^4\,d^8+33554432\,a^{76}\,b^2\,d^8+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,\left(-134217728\,a^{78}\,b^3\,d^9-2550136832\,a^{76}\,b^5\,d^9-22817013760\,a^{74}\,b^7\,d^9-127506841600\,a^{72}\,b^9\,d^9-497276682240\,a^{70}\,b^{11}\,d^9-1430626762752\,a^{68}\,b^{13}\,d^9-3121367482368\,a^{66}\,b^{15}\,d^9-5202279137280\,a^{64}\,b^{17}\,d^9-6502848921600\,a^{62}\,b^{19}\,d^9-5635802398720\,a^{60}\,b^{21}\,d^9-2254320959488\,a^{58}\,b^{23}\,d^9+2254320959488\,a^{56}\,b^{25}\,d^9+5635802398720\,a^{54}\,b^{27}\,d^9+6502848921600\,a^{52}\,b^{29}\,d^9+5202279137280\,a^{50}\,b^{31}\,d^9+3121367482368\,a^{48}\,b^{33}\,d^9+1430626762752\,a^{46}\,b^{35}\,d^9+497276682240\,a^{44}\,b^{37}\,d^9+127506841600\,a^{42}\,b^{39}\,d^9+22817013760\,a^{40}\,b^{41}\,d^9+2550136832\,a^{38}\,b^{43}\,d^9+134217728\,a^{36}\,b^{45}\,d^9\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)}{8\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}}\right)\,\sqrt{-a^9\,b^7}\,\left(99\,a^4+102\,a^2\,b^2+35\,b^4\right)\,1{}\mathrm{i}}{4\,\left(d\,a^{15}+3\,d\,a^{13}\,b^2+3\,d\,a^{11}\,b^4+d\,a^9\,b^6\right)}","Not used",1,"atan(((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) + (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 + tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - 3211264000*a^29*b^43*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 + 12756182892544*a^43*b^29*d^6 + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(12756182892544*a^43*b^29*d^6 - 3211264000*a^29*b^43*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 - (tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) + (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 - tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) + (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 + tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - 3211264000*a^29*b^43*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 + 12756182892544*a^43*b^29*d^6 + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) - (tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) - (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(12756182892544*a^43*b^29*d^6 - 3211264000*a^29*b^43*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 - (tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) + (1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 - tan(c + d*x)^(1/2)*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9)))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2) + 321126400*a^28*b^38*d^4 + 5082972160*a^30*b^36*d^4 + 37638373376*a^32*b^34*d^4 + 172475023360*a^34*b^32*d^4 + 545435942912*a^36*b^30*d^4 + 1257037627392*a^38*b^28*d^4 + 2173340221440*a^40*b^26*d^4 + 2858032300032*a^42*b^24*d^4 + 2865746411520*a^44*b^22*d^4 + 2173002317824*a^46*b^20*d^4 + 1219756294144*a^48*b^18*d^4 + 486020218880*a^50*b^16*d^4 + 126274502656*a^52*b^14*d^4 + 17141596160*a^54*b^12*d^4 + 71565312*a^56*b^10*d^4 - 207618048*a^58*b^8*d^4))*(1i/(4*(b^6*d^2 - a^6*d^2 + a*b^5*d^2*6i + a^5*b*d^2*6i - 15*a^2*b^4*d^2 - a^3*b^3*d^2*20i + 15*a^4*b^2*d^2)))^(1/2)*2i + ((14*b*tan(c + d*x))/(3*a^2) - 2/(3*a) + (tan(c + d*x)^2*(175*b^6 + 335*a^2*b^4 + 136*a^4*b^2))/(12*a^3*(a^4 + b^4 + 2*a^2*b^2)) + (b*tan(c + d*x)^3*(35*b^6 + 67*a^2*b^4 + 24*a^4*b^2))/(4*a^4*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d*tan(c + d*x)^(3/2) + b^2*d*tan(c + d*x)^(7/2) + 2*a*b*d*tan(c + d*x)^(5/2)) + atan((((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5))/2 - ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(6378091446272*a^43*b^29*d^6 - 1605632000*a^29*b^43*d^6 - 23809228800*a^31*b^41*d^6 - 159373066240*a^33*b^39*d^6 - 624177446912*a^35*b^37*d^6 - 1519159083008*a^37*b^35*d^6 - 2069728591872*a^39*b^33*d^6 - 126074486784*a^41*b^31*d^6 - (((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7))/2 + ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(293601280*a^32*b^46*d^8 - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/4 + 5846859776*a^34*b^44*d^8 + 55306092544*a^36*b^42*d^8 + 330217553920*a^38*b^40*d^8 + 1394807406592*a^40*b^38*d^8 + 4426517446656*a^42*b^36*d^8 + 10939332034560*a^44*b^34*d^8 + 21526141206528*a^46*b^32*d^8 + 34187016929280*a^48*b^30*d^8 + 44128960249856*a^50*b^28*d^8 + 46358182494208*a^52*b^26*d^8 + 39446909026304*a^54*b^24*d^8 + 26844216688640*a^56*b^22*d^8 + 14232112332800*a^58*b^20*d^8 + 5558224551936*a^60*b^18*d^8 + 1367309549568*a^62*b^16*d^8 + 55188652032*a^64*b^14*d^8 - 110654128128*a^66*b^12*d^8 - 47773122560*a^68*b^10*d^8 - 9151971328*a^70*b^8*d^8 - 486539264*a^72*b^6*d^8 + 117440512*a^74*b^4*d^8 + 16777216*a^76*b^2*d^8))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + 16287812550656*a^45*b^27*d^6 + 24362961338368*a^47*b^25*d^6 + 25407489310720*a^49*b^23*d^6 + 19308207931392*a^51*b^21*d^6 + 10742775414784*a^53*b^19*d^6 + 4292107829248*a^55*b^17*d^6 + 1177854935040*a^57*b^15*d^6 + 205673988096*a^59*b^13*d^6 + 21437874176*a^61*b^11*d^6 + 2270953472*a^63*b^9*d^6 + 503316480*a^65*b^7*d^6 + 67108864*a^67*b^5*d^6 + 4194304*a^69*b^3*d^6))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i + ((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5))/2 + ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*((((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7))/2 - ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*((tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/4 + 293601280*a^32*b^46*d^8 + 5846859776*a^34*b^44*d^8 + 55306092544*a^36*b^42*d^8 + 330217553920*a^38*b^40*d^8 + 1394807406592*a^40*b^38*d^8 + 4426517446656*a^42*b^36*d^8 + 10939332034560*a^44*b^34*d^8 + 21526141206528*a^46*b^32*d^8 + 34187016929280*a^48*b^30*d^8 + 44128960249856*a^50*b^28*d^8 + 46358182494208*a^52*b^26*d^8 + 39446909026304*a^54*b^24*d^8 + 26844216688640*a^56*b^22*d^8 + 14232112332800*a^58*b^20*d^8 + 5558224551936*a^60*b^18*d^8 + 1367309549568*a^62*b^16*d^8 + 55188652032*a^64*b^14*d^8 - 110654128128*a^66*b^12*d^8 - 47773122560*a^68*b^10*d^8 - 9151971328*a^70*b^8*d^8 - 486539264*a^72*b^6*d^8 + 117440512*a^74*b^4*d^8 + 16777216*a^76*b^2*d^8))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - 1605632000*a^29*b^43*d^6 - 23809228800*a^31*b^41*d^6 - 159373066240*a^33*b^39*d^6 - 624177446912*a^35*b^37*d^6 - 1519159083008*a^37*b^35*d^6 - 2069728591872*a^39*b^33*d^6 - 126074486784*a^41*b^31*d^6 + 6378091446272*a^43*b^29*d^6 + 16287812550656*a^45*b^27*d^6 + 24362961338368*a^47*b^25*d^6 + 25407489310720*a^49*b^23*d^6 + 19308207931392*a^51*b^21*d^6 + 10742775414784*a^53*b^19*d^6 + 4292107829248*a^55*b^17*d^6 + 1177854935040*a^57*b^15*d^6 + 205673988096*a^59*b^13*d^6 + 21437874176*a^61*b^11*d^6 + 2270953472*a^63*b^9*d^6 + 503316480*a^65*b^7*d^6 + 67108864*a^67*b^5*d^6 + 4194304*a^69*b^3*d^6))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i)/(((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5))/2 + ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*((((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7))/2 - ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*((tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/4 + 293601280*a^32*b^46*d^8 + 5846859776*a^34*b^44*d^8 + 55306092544*a^36*b^42*d^8 + 330217553920*a^38*b^40*d^8 + 1394807406592*a^40*b^38*d^8 + 4426517446656*a^42*b^36*d^8 + 10939332034560*a^44*b^34*d^8 + 21526141206528*a^46*b^32*d^8 + 34187016929280*a^48*b^30*d^8 + 44128960249856*a^50*b^28*d^8 + 46358182494208*a^52*b^26*d^8 + 39446909026304*a^54*b^24*d^8 + 26844216688640*a^56*b^22*d^8 + 14232112332800*a^58*b^20*d^8 + 5558224551936*a^60*b^18*d^8 + 1367309549568*a^62*b^16*d^8 + 55188652032*a^64*b^14*d^8 - 110654128128*a^66*b^12*d^8 - 47773122560*a^68*b^10*d^8 - 9151971328*a^70*b^8*d^8 - 486539264*a^72*b^6*d^8 + 117440512*a^74*b^4*d^8 + 16777216*a^76*b^2*d^8))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 - 1605632000*a^29*b^43*d^6 - 23809228800*a^31*b^41*d^6 - 159373066240*a^33*b^39*d^6 - 624177446912*a^35*b^37*d^6 - 1519159083008*a^37*b^35*d^6 - 2069728591872*a^39*b^33*d^6 - 126074486784*a^41*b^31*d^6 + 6378091446272*a^43*b^29*d^6 + 16287812550656*a^45*b^27*d^6 + 24362961338368*a^47*b^25*d^6 + 25407489310720*a^49*b^23*d^6 + 19308207931392*a^51*b^21*d^6 + 10742775414784*a^53*b^19*d^6 + 4292107829248*a^55*b^17*d^6 + 1177854935040*a^57*b^15*d^6 + 205673988096*a^59*b^13*d^6 + 21437874176*a^61*b^11*d^6 + 2270953472*a^63*b^9*d^6 + 503316480*a^65*b^7*d^6 + 67108864*a^67*b^5*d^6 + 4194304*a^69*b^3*d^6))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) - ((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5))/2 - ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(6378091446272*a^43*b^29*d^6 - 1605632000*a^29*b^43*d^6 - 23809228800*a^31*b^41*d^6 - 159373066240*a^33*b^39*d^6 - 624177446912*a^35*b^37*d^6 - 1519159083008*a^37*b^35*d^6 - 2069728591872*a^39*b^33*d^6 - 126074486784*a^41*b^31*d^6 - (((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7))/2 + ((1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(293601280*a^32*b^46*d^8 - (tan(c + d*x)^(1/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/4 + 5846859776*a^34*b^44*d^8 + 55306092544*a^36*b^42*d^8 + 330217553920*a^38*b^40*d^8 + 1394807406592*a^40*b^38*d^8 + 4426517446656*a^42*b^36*d^8 + 10939332034560*a^44*b^34*d^8 + 21526141206528*a^46*b^32*d^8 + 34187016929280*a^48*b^30*d^8 + 44128960249856*a^50*b^28*d^8 + 46358182494208*a^52*b^26*d^8 + 39446909026304*a^54*b^24*d^8 + 26844216688640*a^56*b^22*d^8 + 14232112332800*a^58*b^20*d^8 + 5558224551936*a^60*b^18*d^8 + 1367309549568*a^62*b^16*d^8 + 55188652032*a^64*b^14*d^8 - 110654128128*a^66*b^12*d^8 - 47773122560*a^68*b^10*d^8 - 9151971328*a^70*b^8*d^8 - 486539264*a^72*b^6*d^8 + 117440512*a^74*b^4*d^8 + 16777216*a^76*b^2*d^8))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2))/2 + 16287812550656*a^45*b^27*d^6 + 24362961338368*a^47*b^25*d^6 + 25407489310720*a^49*b^23*d^6 + 19308207931392*a^51*b^21*d^6 + 10742775414784*a^53*b^19*d^6 + 4292107829248*a^55*b^17*d^6 + 1177854935040*a^57*b^15*d^6 + 205673988096*a^59*b^13*d^6 + 21437874176*a^61*b^11*d^6 + 2270953472*a^63*b^9*d^6 + 503316480*a^65*b^7*d^6 + 67108864*a^67*b^5*d^6 + 4194304*a^69*b^3*d^6))/2)*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2) + 321126400*a^28*b^38*d^4 + 5082972160*a^30*b^36*d^4 + 37638373376*a^32*b^34*d^4 + 172475023360*a^34*b^32*d^4 + 545435942912*a^36*b^30*d^4 + 1257037627392*a^38*b^28*d^4 + 2173340221440*a^40*b^26*d^4 + 2858032300032*a^42*b^24*d^4 + 2865746411520*a^44*b^22*d^4 + 2173002317824*a^46*b^20*d^4 + 1219756294144*a^48*b^18*d^4 + 486020218880*a^50*b^16*d^4 + 126274502656*a^52*b^14*d^4 + 17141596160*a^54*b^12*d^4 + 71565312*a^56*b^10*d^4 - 207618048*a^58*b^8*d^4))*(1/(b^6*d^2*1i - a^6*d^2*1i + 6*a*b^5*d^2 + 6*a^5*b*d^2 - a^2*b^4*d^2*15i - 20*a^3*b^3*d^2 + a^4*b^2*d^2*15i))^(1/2)*1i + (atan((((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) - ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(12756182892544*a^43*b^29*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 - 3211264000*a^29*b^43*d^6 + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6 - ((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) + ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 - (tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*1i)/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)) + ((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) + ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(12756182892544*a^43*b^29*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 - 3211264000*a^29*b^43*d^6 + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6 + ((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) - ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 + (tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*1i)/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))/(321126400*a^28*b^38*d^4 + 5082972160*a^30*b^36*d^4 + 37638373376*a^32*b^34*d^4 + 172475023360*a^34*b^32*d^4 + 545435942912*a^36*b^30*d^4 + 1257037627392*a^38*b^28*d^4 + 2173340221440*a^40*b^26*d^4 + 2858032300032*a^42*b^24*d^4 + 2865746411520*a^44*b^22*d^4 + 2173002317824*a^46*b^20*d^4 + 1219756294144*a^48*b^18*d^4 + 486020218880*a^50*b^16*d^4 + 126274502656*a^52*b^14*d^4 + 17141596160*a^54*b^12*d^4 + 71565312*a^56*b^10*d^4 - 207618048*a^58*b^8*d^4 - ((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) - ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(12756182892544*a^43*b^29*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 - 3211264000*a^29*b^43*d^6 + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6 - ((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) + ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 - (tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)) + ((tan(c + d*x)^(1/2)*(47691333632*a^34*b^35*d^5 - 3156213760*a^30*b^39*d^5 - 7535067136*a^32*b^37*d^5 - 321126400*a^28*b^41*d^5 + 451224272896*a^36*b^33*d^5 + 1855390220288*a^38*b^31*d^5 + 4902111674368*a^40*b^29*d^5 + 9182617010176*a^42*b^27*d^5 + 12661071282176*a^44*b^25*d^5 + 12996430528512*a^46*b^23*d^5 + 9861255397376*a^48*b^21*d^5 + 5375636013056*a^50*b^19*d^5 + 1966525644800*a^52*b^17*d^5 + 396976193536*a^54*b^15*d^5 + 1851785216*a^56*b^13*d^5 - 18624806912*a^58*b^11*d^5 - 3332636672*a^60*b^9*d^5 - 117440512*a^62*b^7*d^5 - 8388608*a^64*b^5*d^5) + ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(12756182892544*a^43*b^29*d^6 - 47618457600*a^31*b^41*d^6 - 318746132480*a^33*b^39*d^6 - 1248354893824*a^35*b^37*d^6 - 3038318166016*a^37*b^35*d^6 - 4139457183744*a^39*b^33*d^6 - 252148973568*a^41*b^31*d^6 - 3211264000*a^29*b^43*d^6 + 32575625101312*a^45*b^27*d^6 + 48725922676736*a^47*b^25*d^6 + 50814978621440*a^49*b^23*d^6 + 38616415862784*a^51*b^21*d^6 + 21485550829568*a^53*b^19*d^6 + 8584215658496*a^55*b^17*d^6 + 2355709870080*a^57*b^15*d^6 + 411347976192*a^59*b^13*d^6 + 42875748352*a^61*b^11*d^6 + 4541906944*a^63*b^9*d^6 + 1006632960*a^65*b^7*d^6 + 134217728*a^67*b^5*d^6 + 8388608*a^69*b^3*d^6 + ((tan(c + d*x)^(1/2)*(2569011200*a^29*b^46*d^7 + 50939822080*a^31*b^44*d^7 + 479763365888*a^33*b^42*d^7 + 2849006157824*a^35*b^40*d^7 + 11943926562816*a^37*b^38*d^7 + 37510046547968*a^39*b^36*d^7 + 91385554272256*a^41*b^34*d^7 + 176470173417472*a^43*b^32*d^7 + 273612095356928*a^45*b^30*d^7 + 342917730271232*a^47*b^28*d^7 + 347997439262720*a^49*b^26*d^7 + 285130161651712*a^51*b^24*d^7 + 187202969534464*a^53*b^22*d^7 + 97245760323584*a^55*b^20*d^7 + 39238359842816*a^57*b^18*d^7 + 12009902964736*a^59*b^16*d^7 + 2725695717376*a^61*b^14*d^7 + 460706545664*a^63*b^12*d^7 + 62631444480*a^65*b^10*d^7 + 6710886400*a^67*b^8*d^7 - 16777216*a^69*b^6*d^7 - 167772160*a^71*b^4*d^7 - 16777216*a^73*b^2*d^7) - ((-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(587202560*a^32*b^46*d^8 + 11693719552*a^34*b^44*d^8 + 110612185088*a^36*b^42*d^8 + 660435107840*a^38*b^40*d^8 + 2789614813184*a^40*b^38*d^8 + 8853034893312*a^42*b^36*d^8 + 21878664069120*a^44*b^34*d^8 + 43052282413056*a^46*b^32*d^8 + 68374033858560*a^48*b^30*d^8 + 88257920499712*a^50*b^28*d^8 + 92716364988416*a^52*b^26*d^8 + 78893818052608*a^54*b^24*d^8 + 53688433377280*a^56*b^22*d^8 + 28464224665600*a^58*b^20*d^8 + 11116449103872*a^60*b^18*d^8 + 2734619099136*a^62*b^16*d^8 + 110377304064*a^64*b^14*d^8 - 221308256256*a^66*b^12*d^8 - 95546245120*a^68*b^10*d^8 - 18303942656*a^70*b^8*d^8 - 973078528*a^72*b^6*d^8 + 234881024*a^74*b^4*d^8 + 33554432*a^76*b^2*d^8 + (tan(c + d*x)^(1/2)*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*(134217728*a^36*b^45*d^9 + 2550136832*a^38*b^43*d^9 + 22817013760*a^40*b^41*d^9 + 127506841600*a^42*b^39*d^9 + 497276682240*a^44*b^37*d^9 + 1430626762752*a^46*b^35*d^9 + 3121367482368*a^48*b^33*d^9 + 5202279137280*a^50*b^31*d^9 + 6502848921600*a^52*b^29*d^9 + 5635802398720*a^54*b^27*d^9 + 2254320959488*a^56*b^25*d^9 - 2254320959488*a^58*b^23*d^9 - 5635802398720*a^60*b^21*d^9 - 6502848921600*a^62*b^19*d^9 - 5202279137280*a^64*b^17*d^9 - 3121367482368*a^66*b^15*d^9 - 1430626762752*a^68*b^13*d^9 - 497276682240*a^70*b^11*d^9 - 127506841600*a^72*b^9*d^9 - 22817013760*a^74*b^7*d^9 - 2550136832*a^76*b^5*d^9 - 134217728*a^78*b^3*d^9))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d)))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2))/(8*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))))*(-a^9*b^7)^(1/2)*(99*a^4 + 35*b^4 + 102*a^2*b^2)*1i)/(4*(a^15*d + a^9*b^6*d + 3*a^11*b^4*d + 3*a^13*b^2*d))","B"
608,0,-1,231,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2), x)","F"
609,0,-1,184,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2), x)","F"
610,1,286,151,6.908156,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2),x)","\frac{4\,\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}\right)}{d}+\mathrm{atan}\left(\frac{2\,\left(d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-b+a\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\sqrt{a}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{-b+a\,1{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}\right)}{a+b\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{a}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}\right)\,\sqrt{-\frac{-b+a\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{2\,\left(\sqrt{a}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,d^2}}-d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,d^2}}\right)}{a\,1{}\mathrm{i}+b\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}-\sqrt{a}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}\right)\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((2*(d*tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-(a*1i - b)/(4*d^2))^(1/2)*1i - a^(1/2)*d*tan(c + d*x)^(1/2)*(-(a*1i - b)/(4*d^2))^(1/2)*1i))/(a + b*tan(c + d*x) - a^(1/2)*(a + b*tan(c + d*x))^(1/2)))*(-(a*1i - b)/(4*d^2))^(1/2)*2i + atan((2*(a^(1/2)*d*tan(c + d*x)^(1/2)*((a*1i + b)/(4*d^2))^(1/2) - d*tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)*((a*1i + b)/(4*d^2))^(1/2)))/(a*1i + b*tan(c + d*x)*1i - a^(1/2)*(a + b*tan(c + d*x))^(1/2)*1i))*((a*1i + b)/(4*d^2))^(1/2)*2i + (4*b^(1/2)*atanh((b^(1/2)*tan(c + d*x)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))))/d","B"
611,1,224,115,6.083129,"\text{Not used}","int((a + b*tan(c + d*x))^(1/2)/tan(c + d*x)^(1/2),x)","-\mathrm{atan}\left(\frac{\sqrt{a}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{b+a\,1{}\mathrm{i}}{d^2}}-d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{b+a\,1{}\mathrm{i}}{d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a+b\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{a}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}\right)\,\sqrt{-\frac{b+a\,1{}\mathrm{i}}{d^2}}\,1{}\mathrm{i}-\mathrm{atan}\left(\frac{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-b+a\,1{}\mathrm{i}}{d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-b+a\,1{}\mathrm{i}}{d^2}}}{a+b\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{a}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}\right)\,\sqrt{\frac{-b+a\,1{}\mathrm{i}}{d^2}}\,1{}\mathrm{i}","Not used",1,"- atan((a^(1/2)*d*tan(c + d*x)^(1/2)*(-(a*1i + b)/d^2)^(1/2) - d*tan(c + d*x)^(1/2)*(-(a*1i + b)/d^2)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(a + b*tan(c + d*x) - a^(1/2)*(a + b*tan(c + d*x))^(1/2)))*(-(a*1i + b)/d^2)^(1/2)*1i - atan((d*tan(c + d*x)^(1/2)*((a*1i - b)/d^2)^(1/2)*(a + b*tan(c + d*x))^(1/2) - a^(1/2)*d*tan(c + d*x)^(1/2)*((a*1i - b)/d^2)^(1/2))/(a + b*tan(c + d*x) - a^(1/2)*(a + b*tan(c + d*x))^(1/2)))*((a*1i - b)/d^2)^(1/2)*1i","B"
612,0,-1,139,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(1/2)/tan(c + d*x)^(3/2),x)","\int \frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(1/2)/tan(c + d*x)^(3/2), x)","F"
613,0,-1,181,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(1/2)/tan(c + d*x)^(5/2),x)","\int \frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(1/2)/tan(c + d*x)^(5/2), x)","F"
614,0,-1,221,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(1/2)/tan(c + d*x)^(7/2),x)","\int \frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(1/2)/tan(c + d*x)^(7/2), x)","F"
615,0,-1,280,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
616,0,-1,226,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
617,0,-1,186,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2),x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
618,0,-1,152,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(1/2), x)","F"
619,0,-1,145,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(3/2), x)","F"
620,0,-1,173,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(5/2), x)","F"
621,0,-1,224,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(7/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(7/2), x)","F"
622,0,-1,266,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(9/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(3/2)/tan(c + d*x)^(9/2), x)","F"
623,0,-1,332,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
624,0,-1,277,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
625,0,-1,231,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2),x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
626,0,-1,188,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(1/2), x)","F"
627,0,-1,183,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(3/2), x)","F"
628,0,-1,182,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(5/2), x)","F"
629,0,-1,219,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(7/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(7/2), x)","F"
630,0,-1,270,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(9/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(9/2), x)","F"
631,0,-1,318,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(11/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{11/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/tan(c + d*x)^(11/2), x)","F"
632,0,-1,232,0.000000,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^(1/2), x)","F"
633,0,-1,188,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(1/2), x)","F"
634,0,-1,152,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(1/2), x)","F"
635,1,4102,115,43.185876,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(1/2),x)","\frac{\ln\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(536870912\,a^8\,b^{16}\,\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(8\,a^2+7\,b^2\right)\,\left(8\,a^2+7\,b^2-\frac{17\,b^3\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{16\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{1073741824\,a^7\,b^{17}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^4+52\,a^2\,b^2+5\,b^4\right)}{d\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{2}+\frac{268435456\,a^6\,b^{17}\,\left(144\,a^4+112\,a^2\,b^2-b^4\right)}{d^2}+\frac{268435456\,a^6\,b^{16}\,\mathrm{tan}\left(c+d\,x\right)\,\left(256\,a^6-32\,a^4\,b^2-270\,a^2\,b^4+b^6\right)}{d^2\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)}{2}+\frac{536870912\,a^7\,b^{18}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^2+5\,b^2\right)}{d^3\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{2}+\frac{134217728\,a^6\,b^{16}\,\left(32\,a^4+40\,a^2\,b^2-b^4\right)}{d^4}+\frac{134217728\,a^6\,b^{17}\,\mathrm{tan}\left(c+d\,x\right)\,\left(192\,a^4-92\,a^2\,b^2+b^4\right)}{d^4\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)}{2}+\frac{67108864\,a^7\,b^{17}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^2+5\,b^2\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{2}+\frac{16777216\,a^6\,b^{17}\,\left(16\,a^2-b^2\right)}{d^6}+\frac{16777216\,a^6\,b^{16}\,\mathrm{tan}\left(c+d\,x\right)\,{\left(16\,a^2-b^2\right)}^2}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{-\frac{1}{b\,d^2+a\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(\frac{\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(536870912\,a^8\,b^{16}\,\sqrt{-\frac{1}{d^2\,\left(b+a\,1{}\mathrm{i}\right)}}\,\left(8\,a^2+7\,b^2\right)\,\left(8\,a^2+7\,b^2-\frac{17\,b^3\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{16\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{1073741824\,a^7\,b^{17}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^4+52\,a^2\,b^2+5\,b^4\right)}{d\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{2}+\frac{268435456\,a^6\,b^{17}\,\left(144\,a^4+112\,a^2\,b^2-b^4\right)}{d^2}+\frac{268435456\,a^6\,b^{16}\,\mathrm{tan}\left(c+d\,x\right)\,\left(256\,a^6-32\,a^4\,b^2-270\,a^2\,b^4+b^6\right)}{d^2\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)}{2}-\frac{536870912\,a^7\,b^{18}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^2+5\,b^2\right)}{d^3\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{2}+\frac{134217728\,a^6\,b^{16}\,\left(32\,a^4+40\,a^2\,b^2-b^4\right)}{d^4}+\frac{134217728\,a^6\,b^{17}\,\mathrm{tan}\left(c+d\,x\right)\,\left(192\,a^4-92\,a^2\,b^2+b^4\right)}{d^4\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)}{2}-\frac{67108864\,a^7\,b^{17}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^2+5\,b^2\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{2}+\frac{16777216\,a^6\,b^{17}\,\left(16\,a^2-b^2\right)}{d^6}+\frac{16777216\,a^6\,b^{16}\,\mathrm{tan}\left(c+d\,x\right)\,{\left(16\,a^2-b^2\right)}^2}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{-\frac{1}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\mathrm{atan}\left(\frac{\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{16777216\,\left(4096\,a^{12}\,b^{16}\,d^6+7168\,a^{10}\,b^{18}\,d^6+3136\,a^8\,b^{20}\,d^6\right)}{d^6}-\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(8192\,a^{12}\,b^{17}\,d^6+15872\,a^{10}\,b^{19}\,d^6+7616\,a^8\,b^{21}\,d^6\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{11}\,b^{17}\,d^4+832\,a^9\,b^{19}\,d^4+80\,a^7\,b^{21}\,d^4\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(2304\,a^{10}\,b^{17}\,d^4+1792\,a^8\,b^{19}\,d^4-16\,a^6\,b^{21}\,d^4\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,a^{12}\,b^{16}\,d^4-512\,a^{10}\,b^{18}\,d^4-4320\,a^8\,b^{20}\,d^4+16\,a^6\,b^{22}\,d^4\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(384\,a^9\,b^{18}\,d^2+40\,a^7\,b^{20}\,d^2\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(256\,a^{10}\,b^{16}\,d^2+320\,a^8\,b^{18}\,d^2-8\,a^6\,b^{20}\,d^2\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(1536\,a^{10}\,b^{17}\,d^2-736\,a^8\,b^{19}\,d^2+8\,a^6\,b^{21}\,d^2\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^9\,b^{17}+5\,a^7\,b^{19}\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}-\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{16777216\,\left(4096\,a^{12}\,b^{16}\,d^6+7168\,a^{10}\,b^{18}\,d^6+3136\,a^8\,b^{20}\,d^6\right)}{d^6}-\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(8192\,a^{12}\,b^{17}\,d^6+15872\,a^{10}\,b^{19}\,d^6+7616\,a^8\,b^{21}\,d^6\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{11}\,b^{17}\,d^4+832\,a^9\,b^{19}\,d^4+80\,a^7\,b^{21}\,d^4\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(2304\,a^{10}\,b^{17}\,d^4+1792\,a^8\,b^{19}\,d^4-16\,a^6\,b^{21}\,d^4\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,a^{12}\,b^{16}\,d^4-512\,a^{10}\,b^{18}\,d^4-4320\,a^8\,b^{20}\,d^4+16\,a^6\,b^{22}\,d^4\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(384\,a^9\,b^{18}\,d^2+40\,a^7\,b^{20}\,d^2\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(256\,a^{10}\,b^{16}\,d^2+320\,a^8\,b^{18}\,d^2-8\,a^6\,b^{20}\,d^2\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(1536\,a^{10}\,b^{17}\,d^2-736\,a^8\,b^{19}\,d^2+8\,a^6\,b^{21}\,d^2\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^9\,b^{17}+5\,a^7\,b^{19}\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{\frac{33554432\,\mathrm{tan}\left(c+d\,x\right)\,\left(256\,a^{10}\,b^{16}-32\,a^8\,b^{18}+a^6\,b^{20}\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{16777216\,\left(4096\,a^{12}\,b^{16}\,d^6+7168\,a^{10}\,b^{18}\,d^6+3136\,a^8\,b^{20}\,d^6\right)}{d^6}-\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(8192\,a^{12}\,b^{17}\,d^6+15872\,a^{10}\,b^{19}\,d^6+7616\,a^8\,b^{21}\,d^6\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{11}\,b^{17}\,d^4+832\,a^9\,b^{19}\,d^4+80\,a^7\,b^{21}\,d^4\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(2304\,a^{10}\,b^{17}\,d^4+1792\,a^8\,b^{19}\,d^4-16\,a^6\,b^{21}\,d^4\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,a^{12}\,b^{16}\,d^4-512\,a^{10}\,b^{18}\,d^4-4320\,a^8\,b^{20}\,d^4+16\,a^6\,b^{22}\,d^4\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(384\,a^9\,b^{18}\,d^2+40\,a^7\,b^{20}\,d^2\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(256\,a^{10}\,b^{16}\,d^2+320\,a^8\,b^{18}\,d^2-8\,a^6\,b^{20}\,d^2\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(1536\,a^{10}\,b^{17}\,d^2-736\,a^8\,b^{19}\,d^2+8\,a^6\,b^{21}\,d^2\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^9\,b^{17}+5\,a^7\,b^{19}\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,\left(\frac{16777216\,\left(4096\,a^{12}\,b^{16}\,d^6+7168\,a^{10}\,b^{18}\,d^6+3136\,a^8\,b^{20}\,d^6\right)}{d^6}-\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(8192\,a^{12}\,b^{17}\,d^6+15872\,a^{10}\,b^{19}\,d^6+7616\,a^8\,b^{21}\,d^6\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(768\,a^{11}\,b^{17}\,d^4+832\,a^9\,b^{19}\,d^4+80\,a^7\,b^{21}\,d^4\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(2304\,a^{10}\,b^{17}\,d^4+1792\,a^8\,b^{19}\,d^4-16\,a^6\,b^{21}\,d^4\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,a^{12}\,b^{16}\,d^4-512\,a^{10}\,b^{18}\,d^4-4320\,a^8\,b^{20}\,d^4+16\,a^6\,b^{22}\,d^4\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(384\,a^9\,b^{18}\,d^2+40\,a^7\,b^{20}\,d^2\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)+\frac{16777216\,\left(256\,a^{10}\,b^{16}\,d^2+320\,a^8\,b^{18}\,d^2-8\,a^6\,b^{20}\,d^2\right)}{d^6}+\frac{16777216\,\mathrm{tan}\left(c+d\,x\right)\,\left(1536\,a^{10}\,b^{17}\,d^2-736\,a^8\,b^{19}\,d^2+8\,a^6\,b^{21}\,d^2\right)}{d^6\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{67108864\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(48\,a^9\,b^{17}+5\,a^7\,b^{19}\right)}{d^5\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)-\frac{33554432\,\left(a^6\,b^{19}-16\,a^8\,b^{17}\right)}{d^6}}\right)\,\sqrt{-\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}","Not used",1,"(log(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(536870912*a^8*b^16*(-1/(d^2*(a*1i + b)))^(1/2)*(8*a^2 + 7*b^2)*(8*a^2 + 7*b^2 - (17*b^3*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (16*a^2*b*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2) + (1073741824*a^7*b^17*tan(c + d*x)^(1/2)*(48*a^4 + 5*b^4 + 52*a^2*b^2))/(d*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/2 + (268435456*a^6*b^17*(144*a^4 - b^4 + 112*a^2*b^2))/d^2 + (268435456*a^6*b^16*tan(c + d*x)*(256*a^6 + b^6 - 270*a^2*b^4 - 32*a^4*b^2))/(d^2*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))/2 + (536870912*a^7*b^18*tan(c + d*x)^(1/2)*(48*a^2 + 5*b^2))/(d^3*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/2 + (134217728*a^6*b^16*(32*a^4 - b^4 + 40*a^2*b^2))/d^4 + (134217728*a^6*b^17*tan(c + d*x)*(192*a^4 + b^4 - 92*a^2*b^2))/(d^4*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))/2 + (67108864*a^7*b^17*tan(c + d*x)^(1/2)*(48*a^2 + 5*b^2))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/2 + (16777216*a^6*b^17*(16*a^2 - b^2))/d^6 + (16777216*a^6*b^16*tan(c + d*x)*(16*a^2 - b^2)^2)/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*(-1/(a*d^2*1i + b*d^2))^(1/2))/2 - log(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(((-1/(d^2*(a*1i + b)))^(1/2)*(536870912*a^8*b^16*(-1/(d^2*(a*1i + b)))^(1/2)*(8*a^2 + 7*b^2)*(8*a^2 + 7*b^2 - (17*b^3*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (16*a^2*b*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2) - (1073741824*a^7*b^17*tan(c + d*x)^(1/2)*(48*a^4 + 5*b^4 + 52*a^2*b^2))/(d*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/2 + (268435456*a^6*b^17*(144*a^4 - b^4 + 112*a^2*b^2))/d^2 + (268435456*a^6*b^16*tan(c + d*x)*(256*a^6 + b^6 - 270*a^2*b^4 - 32*a^4*b^2))/(d^2*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))/2 - (536870912*a^7*b^18*tan(c + d*x)^(1/2)*(48*a^2 + 5*b^2))/(d^3*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/2 + (134217728*a^6*b^16*(32*a^4 - b^4 + 40*a^2*b^2))/d^4 + (134217728*a^6*b^17*tan(c + d*x)*(192*a^4 + b^4 - 92*a^2*b^2))/(d^4*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))/2 - (67108864*a^7*b^17*tan(c + d*x)^(1/2)*(48*a^2 + 5*b^2))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/2 + (16777216*a^6*b^17*(16*a^2 - b^2))/d^6 + (16777216*a^6*b^16*tan(c + d*x)*(16*a^2 - b^2)^2)/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*(-1/(4*(a*d^2*1i + b*d^2)))^(1/2) + atan(((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((16777216*(3136*a^8*b^20*d^6 + 7168*a^10*b^18*d^6 + 4096*a^12*b^16*d^6))/d^6 - (16777216*tan(c + d*x)*(7616*a^8*b^21*d^6 + 15872*a^10*b^19*d^6 + 8192*a^12*b^17*d^6))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (67108864*tan(c + d*x)^(1/2)*(80*a^7*b^21*d^4 + 832*a^9*b^19*d^4 + 768*a^11*b^17*d^4))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(1792*a^8*b^19*d^4 - 16*a^6*b^21*d^4 + 2304*a^10*b^17*d^4))/d^6 + (16777216*tan(c + d*x)*(16*a^6*b^22*d^4 - 4320*a^8*b^20*d^4 - 512*a^10*b^18*d^4 + 4096*a^12*b^16*d^4))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (67108864*tan(c + d*x)^(1/2)*(40*a^7*b^20*d^2 + 384*a^9*b^18*d^2))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(320*a^8*b^18*d^2 - 8*a^6*b^20*d^2 + 256*a^10*b^16*d^2))/d^6 + (16777216*tan(c + d*x)*(8*a^6*b^21*d^2 - 736*a^8*b^19*d^2 + 1536*a^10*b^17*d^2))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (67108864*tan(c + d*x)^(1/2)*(5*a^7*b^19 + 48*a^9*b^17))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*1i - (-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((16777216*(3136*a^8*b^20*d^6 + 7168*a^10*b^18*d^6 + 4096*a^12*b^16*d^6))/d^6 - (16777216*tan(c + d*x)*(7616*a^8*b^21*d^6 + 15872*a^10*b^19*d^6 + 8192*a^12*b^17*d^6))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (67108864*tan(c + d*x)^(1/2)*(80*a^7*b^21*d^4 + 832*a^9*b^19*d^4 + 768*a^11*b^17*d^4))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(1792*a^8*b^19*d^4 - 16*a^6*b^21*d^4 + 2304*a^10*b^17*d^4))/d^6 + (16777216*tan(c + d*x)*(16*a^6*b^22*d^4 - 4320*a^8*b^20*d^4 - 512*a^10*b^18*d^4 + 4096*a^12*b^16*d^4))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (67108864*tan(c + d*x)^(1/2)*(40*a^7*b^20*d^2 + 384*a^9*b^18*d^2))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(320*a^8*b^18*d^2 - 8*a^6*b^20*d^2 + 256*a^10*b^16*d^2))/d^6 + (16777216*tan(c + d*x)*(8*a^6*b^21*d^2 - 736*a^8*b^19*d^2 + 1536*a^10*b^17*d^2))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (67108864*tan(c + d*x)^(1/2)*(5*a^7*b^19 + 48*a^9*b^17))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*1i)/((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((16777216*(3136*a^8*b^20*d^6 + 7168*a^10*b^18*d^6 + 4096*a^12*b^16*d^6))/d^6 - (16777216*tan(c + d*x)*(7616*a^8*b^21*d^6 + 15872*a^10*b^19*d^6 + 8192*a^12*b^17*d^6))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (67108864*tan(c + d*x)^(1/2)*(80*a^7*b^21*d^4 + 832*a^9*b^19*d^4 + 768*a^11*b^17*d^4))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(1792*a^8*b^19*d^4 - 16*a^6*b^21*d^4 + 2304*a^10*b^17*d^4))/d^6 + (16777216*tan(c + d*x)*(16*a^6*b^22*d^4 - 4320*a^8*b^20*d^4 - 512*a^10*b^18*d^4 + 4096*a^12*b^16*d^4))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (67108864*tan(c + d*x)^(1/2)*(40*a^7*b^20*d^2 + 384*a^9*b^18*d^2))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(320*a^8*b^18*d^2 - 8*a^6*b^20*d^2 + 256*a^10*b^16*d^2))/d^6 + (16777216*tan(c + d*x)*(8*a^6*b^21*d^2 - 736*a^8*b^19*d^2 + 1536*a^10*b^17*d^2))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (67108864*tan(c + d*x)^(1/2)*(5*a^7*b^19 + 48*a^9*b^17))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) - (33554432*(a^6*b^19 - 16*a^8*b^17))/d^6 + (-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*((16777216*(3136*a^8*b^20*d^6 + 7168*a^10*b^18*d^6 + 4096*a^12*b^16*d^6))/d^6 - (16777216*tan(c + d*x)*(7616*a^8*b^21*d^6 + 15872*a^10*b^19*d^6 + 8192*a^12*b^17*d^6))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (67108864*tan(c + d*x)^(1/2)*(80*a^7*b^21*d^4 + 832*a^9*b^19*d^4 + 768*a^11*b^17*d^4))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(1792*a^8*b^19*d^4 - 16*a^6*b^21*d^4 + 2304*a^10*b^17*d^4))/d^6 + (16777216*tan(c + d*x)*(16*a^6*b^22*d^4 - 4320*a^8*b^20*d^4 - 512*a^10*b^18*d^4 + 4096*a^12*b^16*d^4))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (67108864*tan(c + d*x)^(1/2)*(40*a^7*b^20*d^2 + 384*a^9*b^18*d^2))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (16777216*(320*a^8*b^18*d^2 - 8*a^6*b^20*d^2 + 256*a^10*b^16*d^2))/d^6 + (16777216*tan(c + d*x)*(8*a^6*b^21*d^2 - 736*a^8*b^19*d^2 + 1536*a^10*b^17*d^2))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (67108864*tan(c + d*x)^(1/2)*(5*a^7*b^19 + 48*a^9*b^17))/(d^5*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))) + (33554432*tan(c + d*x)*(a^6*b^20 - 32*a^8*b^18 + 256*a^10*b^16))/(d^6*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))*(-(a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i","B"
636,1,1716,109,13.298216,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)),x)","\mathrm{atan}\left(\frac{-\frac{a^5\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,256{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{48\,b^5\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{a^7\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}\,4096{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{400\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{3/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{832\,b^7\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{112\,a^2\,b^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{a^3\,b^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,720{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{a\,b^5\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{3/2}\,1200{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{a^5\,b\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{3/2}\,2048{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{a\,b^6\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}\,2496{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{12288\,a^6\,b\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{848\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{3/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{a^3\,b^3\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{3/2}\,5744{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{6144\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{3/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{2368\,a^2\,b^5\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{a^3\,b^4\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}\,13760{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{10496\,a^4\,b^3\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{a^5\,b^2\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}\right)}^{5/2}\,7424{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{a\,b^4\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,144{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{768\,a^4\,b\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}}{a\,b^3+\frac{a\,b^4\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}\right)\,\sqrt{\frac{b+a\,1{}\mathrm{i}}{4\,a^2\,d^2+4\,b^2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\frac{2\,a^3\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{-b+a\,1{}\mathrm{i}}{a^2\,d^2+b^2\,d^2}\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{b^3\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{-b+a\,1{}\mathrm{i}}{a^2\,d^2+b^2\,d^2}\right)}^{5/2}\,2{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{6\,a\,b^2\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{-b+a\,1{}\mathrm{i}}{a^2\,d^2+b^2\,d^2}\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{a^2\,b\,d^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{-b+a\,1{}\mathrm{i}}{a^2\,d^2+b^2\,d^2}\right)}^{5/2}\,6{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}}{\frac{b\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+1}\right)\,\sqrt{-\frac{-b+a\,1{}\mathrm{i}}{a^2\,d^2+b^2\,d^2}}\,1{}\mathrm{i}","Not used",1,"atan(((400*b^6*d^3*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (48*b^5*d*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (a^7*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2)*4096i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (a^5*d*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*256i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (832*b^7*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (112*a^2*b^3*d*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (a^3*b^2*d*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*720i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (a*b^5*d^3*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(3/2)*1200i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (a^5*b*d^3*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(3/2)*2048i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (a*b^6*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2)*2496i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (12288*a^6*b*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (848*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (a^3*b^3*d^3*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(3/2)*5744i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (6144*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (2368*a^2*b^5*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (a^3*b^4*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2)*13760i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (10496*a^4*b^3*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (a^5*b^2*d^5*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(5/2)*7424i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (a*b^4*d*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*144i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (768*a^4*b*d*tan(c + d*x)^(1/2)*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)))/(a*b^3 + (a*b^4*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((a*1i + b)/(4*a^2*d^2 + 4*b^2*d^2))^(1/2)*2i - atan(((2*a^3*d^5*tan(c + d*x)^(1/2)*(-(a*1i - b)/(a^2*d^2 + b^2*d^2))^(5/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (b^3*d^5*tan(c + d*x)^(1/2)*(-(a*1i - b)/(a^2*d^2 + b^2*d^2))^(5/2)*2i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (6*a*b^2*d^5*tan(c + d*x)^(1/2)*(-(a*1i - b)/(a^2*d^2 + b^2*d^2))^(5/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (a^2*b*d^5*tan(c + d*x)^(1/2)*(-(a*1i - b)/(a^2*d^2 + b^2*d^2))^(5/2)*6i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)))/((b*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + 1))*(-(a*1i - b)/(a^2*d^2 + b^2*d^2))^(1/2)*1i","B"
637,0,-1,147,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
638,0,-1,180,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
639,0,-1,229,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
640,0,-1,250,0.000000,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^(3/2), x)","F"
641,0,-1,195,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(3/2), x)","F"
642,0,-1,154,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(3/2), x)","F"
643,0,-1,149,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(3/2), x)","F"
644,0,-1,159,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{1}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
645,0,-1,193,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
646,0,-1,241,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
647,0,-1,317,0.000000,"\text{Not used}","int(tan(c + d*x)^(9/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(9/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
648,0,-1,251,0.000000,"\text{Not used}","int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(7/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
649,0,-1,214,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
650,0,-1,199,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
651,0,-1,211,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(tan(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
652,0,-1,212,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{1}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
653,0,-1,265,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
654,0,-1,298,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
655,1,207,89,6.118207,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(3*tan(c + d*x) + 2)^(1/2)),x)","-\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(4-6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}\,\left(-4+6{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{2}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}+2}\right)\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(4+6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}\,\left(-4-6{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{2}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}+2}\right)\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((3/52 + 1i/26)/d^2)^(1/2)*(4 + 6i) - d*tan(c + d*x)^(1/2)*((3/52 + 1i/26)/d^2)^(1/2)*(3*tan(c + d*x) + 2)^(1/2)*(4 + 6i))/(3*tan(c + d*x) - 2^(1/2)*(3*tan(c + d*x) + 2)^(1/2) + 2))*((3/52 + 1i/26)/d^2)^(1/2)*2i - atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((3/52 - 1i/26)/d^2)^(1/2)*(4 - 6i) - d*tan(c + d*x)^(1/2)*((3/52 - 1i/26)/d^2)^(1/2)*(3*tan(c + d*x) + 2)^(1/2)*(4 - 6i))/(3*tan(c + d*x) - 2^(1/2)*(3*tan(c + d*x) + 2)^(1/2) + 2))*((3/52 - 1i/26)/d^2)^(1/2)*2i","B"
656,1,89,89,6.212327,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(3*tan(c + d*x) - 2)^(1/2)),x)","2\,\mathrm{atanh}\left(\frac{2\,d\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)-2}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}\right)\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}+2\,\mathrm{atanh}\left(\frac{2\,d\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)-2}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}\right)\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}","Not used",1,"2*atanh((2*d*((3/52 - 1i/26)/d^2)^(1/2)*(3*tan(c + d*x) - 2)^(1/2))/tan(c + d*x)^(1/2))*((3/52 - 1i/26)/d^2)^(1/2) + 2*atanh((2*d*((3/52 + 1i/26)/d^2)^(1/2)*(3*tan(c + d*x) - 2)^(1/2))/tan(c + d*x)^(1/2))*((3/52 + 1i/26)/d^2)^(1/2)","B"
657,1,205,89,6.325280,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(2 - 3*tan(c + d*x))^(1/2)),x)","\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(4+6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-6{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{2}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}-2}\right)\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(4-6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+6{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{2}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}-2}\right)\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((- 3/52 - 1i/26)/d^2)^(1/2)*(4 + 6i) - d*tan(c + d*x)^(1/2)*((- 3/52 - 1i/26)/d^2)^(1/2)*(2 - 3*tan(c + d*x))^(1/2)*(4 + 6i))/(3*tan(c + d*x) + 2^(1/2)*(2 - 3*tan(c + d*x))^(1/2) - 2))*((- 3/52 - 1i/26)/d^2)^(1/2)*2i - atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((- 3/52 + 1i/26)/d^2)^(1/2)*(4 - 6i) - d*tan(c + d*x)^(1/2)*((- 3/52 + 1i/26)/d^2)^(1/2)*(2 - 3*tan(c + d*x))^(1/2)*(4 - 6i))/(3*tan(c + d*x) + 2^(1/2)*(2 - 3*tan(c + d*x))^(1/2) - 2))*((- 3/52 + 1i/26)/d^2)^(1/2)*2i","B"
658,1,129,89,6.082885,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(- 3*tan(c + d*x) - 2)^(1/2)),x)","-2\,\mathrm{atanh}\left(\frac{4\,d\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}+6\,d\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-3\,\mathrm{tan}\left(c+d\,x\right)-2}}\right)\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}-2\,\mathrm{atanh}\left(\frac{4\,d\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}+6\,d\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-3\,\mathrm{tan}\left(c+d\,x\right)-2}}\right)\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}","Not used",1,"- 2*atanh((4*d*((- 3/52 - 1i/26)/d^2)^(1/2) + 6*d*tan(c + d*x)*((- 3/52 - 1i/26)/d^2)^(1/2))/(tan(c + d*x)^(1/2)*(- 3*tan(c + d*x) - 2)^(1/2)))*((- 3/52 - 1i/26)/d^2)^(1/2) - 2*atanh((4*d*((- 3/52 + 1i/26)/d^2)^(1/2) + 6*d*tan(c + d*x)*((- 3/52 + 1i/26)/d^2)^(1/2))/(tan(c + d*x)^(1/2)*(- 3*tan(c + d*x) - 2)^(1/2)))*((- 3/52 + 1i/26)/d^2)^(1/2)","B"
659,1,204,89,6.440856,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(2*tan(c + d*x) + 3)^(1/2)),x)","\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(6+4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)+3}\,\left(-6-4{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{3}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)+3}+3}\right)\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(6-4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)+3}\,\left(-6+4{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{6\,\mathrm{tan}\left(c+d\,x\right)+9}+3}\right)\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((1/26 + 3i/52)/d^2)^(1/2)*(6 + 4i) - d*tan(c + d*x)^(1/2)*((1/26 + 3i/52)/d^2)^(1/2)*(2*tan(c + d*x) + 3)^(1/2)*(6 + 4i))/(2*tan(c + d*x) - 3^(1/2)*(2*tan(c + d*x) + 3)^(1/2) + 3))*((1/26 + 3i/52)/d^2)^(1/2)*2i - atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((1/26 - 3i/52)/d^2)^(1/2)*(6 - 4i) - d*tan(c + d*x)^(1/2)*((1/26 - 3i/52)/d^2)^(1/2)*(2*tan(c + d*x) + 3)^(1/2)*(6 - 4i))/(2*tan(c + d*x) - (6*tan(c + d*x) + 9)^(1/2) + 3))*((1/26 - 3i/52)/d^2)^(1/2)*2i","B"
660,1,201,89,6.363581,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(3 - 2*tan(c + d*x))^(1/2)),x)","-\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(6-4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{3-2\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-6+4{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{3}\,\sqrt{3-2\,\mathrm{tan}\left(c+d\,x\right)}-3}\right)\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(6+4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{3-2\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-6-4{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{9-6\,\mathrm{tan}\left(c+d\,x\right)}-3}\right)\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((- 1/26 - 3i/52)/d^2)^(1/2)*(6 + 4i) - d*tan(c + d*x)^(1/2)*((- 1/26 - 3i/52)/d^2)^(1/2)*(3 - 2*tan(c + d*x))^(1/2)*(6 + 4i))/(2*tan(c + d*x) + (9 - 6*tan(c + d*x))^(1/2) - 3))*((- 1/26 - 3i/52)/d^2)^(1/2)*2i - atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((- 1/26 + 3i/52)/d^2)^(1/2)*(6 - 4i) - d*tan(c + d*x)^(1/2)*((- 1/26 + 3i/52)/d^2)^(1/2)*(3 - 2*tan(c + d*x))^(1/2)*(6 - 4i))/(2*tan(c + d*x) + 3^(1/2)*(3 - 2*tan(c + d*x))^(1/2) - 3))*((- 1/26 + 3i/52)/d^2)^(1/2)*2i","B"
661,1,89,89,6.092419,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(2*tan(c + d*x) - 3)^(1/2)),x)","2\,\mathrm{atanh}\left(\frac{2\,d\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)-3}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}\right)\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}+2\,\mathrm{atanh}\left(\frac{2\,d\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)-3}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}}\right)\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}","Not used",1,"2*atanh((2*d*((1/26 - 3i/52)/d^2)^(1/2)*(2*tan(c + d*x) - 3)^(1/2))/tan(c + d*x)^(1/2))*((1/26 - 3i/52)/d^2)^(1/2) + 2*atanh((2*d*((1/26 + 3i/52)/d^2)^(1/2)*(2*tan(c + d*x) - 3)^(1/2))/tan(c + d*x)^(1/2))*((1/26 + 3i/52)/d^2)^(1/2)","B"
662,1,219,89,6.526783,"\text{Not used}","int(1/(tan(c + d*x)^(1/2)*(- 2*tan(c + d*x) - 3)^(1/2)),x)","-\mathrm{atan}\left(\frac{\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(5900168033545907947438080+14160403280510179073851392{}\mathrm{i}\right)}{\sqrt{-2\,\mathrm{tan}\left(c+d\,x\right)-3}\,\left(\frac{1770050410063772384231424-737521004193238493429760{}\mathrm{i}}{d}+\frac{{\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(3540100820127544768462848-1475042008386476986859520{}\mathrm{i}\right)}{d\,\left(2\,\mathrm{tan}\left(c+d\,x\right)+3\right)}\right)}\right)\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(5900168033545907947438080-14160403280510179073851392{}\mathrm{i}\right)}{\sqrt{-2\,\mathrm{tan}\left(c+d\,x\right)-3}\,\left(\frac{1770050410063772384231424+737521004193238493429760{}\mathrm{i}}{d}+\frac{{\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(3540100820127544768462848+1475042008386476986859520{}\mathrm{i}\right)}{d\,\left(2\,\mathrm{tan}\left(c+d\,x\right)+3\right)}\right)}\right)\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((((- 1/26 + 3i/52)/d^2)^(1/2)*((2^(1/2)*3^(1/2)*1i)/2 - tan(c + d*x)^(1/2))*(5900168033545907947438080 - 14160403280510179073851392i))/((- 2*tan(c + d*x) - 3)^(1/2)*((1770050410063772384231424 + 737521004193238493429760i)/d + (((2^(1/2)*3^(1/2)*1i)/2 - tan(c + d*x)^(1/2))^2*(3540100820127544768462848 + 1475042008386476986859520i))/(d*(2*tan(c + d*x) + 3)))))*((- 1/26 + 3i/52)/d^2)^(1/2)*2i - atan((((- 1/26 - 3i/52)/d^2)^(1/2)*((2^(1/2)*3^(1/2)*1i)/2 - tan(c + d*x)^(1/2))*(5900168033545907947438080 + 14160403280510179073851392i))/((- 2*tan(c + d*x) - 3)^(1/2)*((1770050410063772384231424 - 737521004193238493429760i)/d + (((2^(1/2)*3^(1/2)*1i)/2 - tan(c + d*x)^(1/2))^2*(3540100820127544768462848 - 1475042008386476986859520i))/(d*(2*tan(c + d*x) + 3)))))*((- 1/26 - 3i/52)/d^2)^(1/2)*2i","B"
663,1,207,95,5.570019,"\text{Not used}","int(tan(c + d*x)^(1/2)/(3*tan(c + d*x) + 2)^(1/2),x)","\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(6-4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}\,\left(-6+4{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{2}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}+2}\right)\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(6+4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}\,\left(-6-4{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{2}\,\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)+2}+2}\right)\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((- 3/52 - 1i/26)/d^2)^(1/2)*(6 - 4i) - d*tan(c + d*x)^(1/2)*((- 3/52 - 1i/26)/d^2)^(1/2)*(3*tan(c + d*x) + 2)^(1/2)*(6 - 4i))/(3*tan(c + d*x) - 2^(1/2)*(3*tan(c + d*x) + 2)^(1/2) + 2))*((- 3/52 - 1i/26)/d^2)^(1/2)*2i - atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((- 3/52 + 1i/26)/d^2)^(1/2)*(6 + 4i) - d*tan(c + d*x)^(1/2)*((- 3/52 + 1i/26)/d^2)^(1/2)*(3*tan(c + d*x) + 2)^(1/2)*(6 + 4i))/(3*tan(c + d*x) - 2^(1/2)*(3*tan(c + d*x) + 2)^(1/2) + 2))*((- 3/52 + 1i/26)/d^2)^(1/2)*2i","B"
664,1,191,95,5.644292,"\text{Not used}","int(tan(c + d*x)^(1/2)/(3*tan(c + d*x) - 2)^(1/2),x)","-\mathrm{atan}\left(\frac{12\,d\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(\frac{\sqrt{2}\,\sqrt{3}}{3}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)-2}\,\left(\frac{3\,{\left(\frac{\sqrt{2}\,\sqrt{3}}{3}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}^2}{3\,\mathrm{tan}\left(c+d\,x\right)-2}+1\right)}\right)\,\sqrt{\frac{-\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{12\,d\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(\frac{\sqrt{2}\,\sqrt{3}}{3}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{\sqrt{3\,\mathrm{tan}\left(c+d\,x\right)-2}\,\left(\frac{3\,{\left(\frac{\sqrt{2}\,\sqrt{3}}{3}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}^2}{3\,\mathrm{tan}\left(c+d\,x\right)-2}+1\right)}\right)\,\sqrt{\frac{-\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((12*d*((- 3/52 + 1i/26)/d^2)^(1/2)*((2^(1/2)*3^(1/2))/3 - tan(c + d*x)^(1/2)))/((3*tan(c + d*x) - 2)^(1/2)*((3*((2^(1/2)*3^(1/2))/3 - tan(c + d*x)^(1/2))^2)/(3*tan(c + d*x) - 2) + 1)))*((- 3/52 + 1i/26)/d^2)^(1/2)*2i - atan((12*d*((- 3/52 - 1i/26)/d^2)^(1/2)*((2^(1/2)*3^(1/2))/3 - tan(c + d*x)^(1/2)))/((3*tan(c + d*x) - 2)^(1/2)*((3*((2^(1/2)*3^(1/2))/3 - tan(c + d*x)^(1/2))^2)/(3*tan(c + d*x) - 2) + 1)))*((- 3/52 - 1i/26)/d^2)^(1/2)*2i","B"
665,1,205,95,5.429902,"\text{Not used}","int(tan(c + d*x)^(1/2)/(2 - 3*tan(c + d*x))^(1/2),x)","\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(6+4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-6-4{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{2}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}-2}\right)\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(6-4{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-6+4{}\mathrm{i}\right)}{3\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{2}\,\sqrt{2-3\,\mathrm{tan}\left(c+d\,x\right)}-2}\right)\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((3/52 - 1i/26)/d^2)^(1/2)*(6 + 4i) - d*tan(c + d*x)^(1/2)*((3/52 - 1i/26)/d^2)^(1/2)*(2 - 3*tan(c + d*x))^(1/2)*(6 + 4i))/(3*tan(c + d*x) + 2^(1/2)*(2 - 3*tan(c + d*x))^(1/2) - 2))*((3/52 - 1i/26)/d^2)^(1/2)*2i - atan((2^(1/2)*d*tan(c + d*x)^(1/2)*((3/52 + 1i/26)/d^2)^(1/2)*(6 - 4i) - d*tan(c + d*x)^(1/2)*((3/52 + 1i/26)/d^2)^(1/2)*(2 - 3*tan(c + d*x))^(1/2)*(6 - 4i))/(3*tan(c + d*x) + 2^(1/2)*(2 - 3*tan(c + d*x))^(1/2) - 2))*((3/52 + 1i/26)/d^2)^(1/2)*2i","B"
666,1,189,95,5.594725,"\text{Not used}","int(tan(c + d*x)^(1/2)/(- 3*tan(c + d*x) - 2)^(1/2),x)","-\mathrm{atan}\left(\frac{12\,d\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{3}\right)}{\sqrt{-3\,\mathrm{tan}\left(c+d\,x\right)-2}\,\left(\frac{3\,{\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{3}\right)}^2}{3\,\mathrm{tan}\left(c+d\,x\right)+2}+1\right)}\right)\,\sqrt{\frac{\frac{3}{52}+\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{12\,d\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}{\sqrt{-3\,\mathrm{tan}\left(c+d\,x\right)-2}\,\left(\frac{3\,{\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}{3\,\mathrm{tan}\left(c+d\,x\right)+2}+1\right)}\right)\,\sqrt{\frac{\frac{3}{52}-\frac{1}{26}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((12*d*((3/52 - 1i/26)/d^2)^(1/2)*((6^(1/2)*1i)/3 - tan(c + d*x)^(1/2)))/((- 3*tan(c + d*x) - 2)^(1/2)*((3*((6^(1/2)*1i)/3 - tan(c + d*x)^(1/2))^2)/(3*tan(c + d*x) + 2) + 1)))*((3/52 - 1i/26)/d^2)^(1/2)*2i - atan((12*d*((3/52 + 1i/26)/d^2)^(1/2)*((2^(1/2)*3^(1/2)*1i)/3 - tan(c + d*x)^(1/2)))/((- 3*tan(c + d*x) - 2)^(1/2)*((3*((2^(1/2)*3^(1/2)*1i)/3 - tan(c + d*x)^(1/2))^2)/(3*tan(c + d*x) + 2) + 1)))*((3/52 + 1i/26)/d^2)^(1/2)*2i","B"
667,1,207,95,5.612542,"\text{Not used}","int(tan(c + d*x)^(1/2)/(2*tan(c + d*x) + 3)^(1/2),x)","\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(4-6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)+3}\,\left(-4+6{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{3}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)+3}+3}\right)\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(4+6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)+3}\,\left(-4-6{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{3}\,\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)+3}+3}\right)\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((- 1/26 - 3i/52)/d^2)^(1/2)*(4 - 6i) - d*tan(c + d*x)^(1/2)*((- 1/26 - 3i/52)/d^2)^(1/2)*(2*tan(c + d*x) + 3)^(1/2)*(4 - 6i))/(2*tan(c + d*x) - 3^(1/2)*(2*tan(c + d*x) + 3)^(1/2) + 3))*((- 1/26 - 3i/52)/d^2)^(1/2)*2i - atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((- 1/26 + 3i/52)/d^2)^(1/2)*(4 + 6i) - d*tan(c + d*x)^(1/2)*((- 1/26 + 3i/52)/d^2)^(1/2)*(2*tan(c + d*x) + 3)^(1/2)*(4 + 6i))/(2*tan(c + d*x) - 3^(1/2)*(2*tan(c + d*x) + 3)^(1/2) + 3))*((- 1/26 + 3i/52)/d^2)^(1/2)*2i","B"
668,1,205,95,5.676334,"\text{Not used}","int(tan(c + d*x)^(1/2)/(3 - 2*tan(c + d*x))^(1/2),x)","\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(4+6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{3-2\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-6{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{3}\,\sqrt{3-2\,\mathrm{tan}\left(c+d\,x\right)}-3}\right)\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{3}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(4-6{}\mathrm{i}\right)+d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\sqrt{3-2\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+6{}\mathrm{i}\right)}{2\,\mathrm{tan}\left(c+d\,x\right)+\sqrt{3}\,\sqrt{3-2\,\mathrm{tan}\left(c+d\,x\right)}-3}\right)\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((1/26 - 3i/52)/d^2)^(1/2)*(4 + 6i) - d*tan(c + d*x)^(1/2)*((1/26 - 3i/52)/d^2)^(1/2)*(3 - 2*tan(c + d*x))^(1/2)*(4 + 6i))/(2*tan(c + d*x) + 3^(1/2)*(3 - 2*tan(c + d*x))^(1/2) - 3))*((1/26 - 3i/52)/d^2)^(1/2)*2i - atan((3^(1/2)*d*tan(c + d*x)^(1/2)*((1/26 + 3i/52)/d^2)^(1/2)*(4 - 6i) - d*tan(c + d*x)^(1/2)*((1/26 + 3i/52)/d^2)^(1/2)*(3 - 2*tan(c + d*x))^(1/2)*(4 - 6i))/(2*tan(c + d*x) + 3^(1/2)*(3 - 2*tan(c + d*x))^(1/2) - 3))*((1/26 + 3i/52)/d^2)^(1/2)*2i","B"
669,1,191,95,5.711636,"\text{Not used}","int(tan(c + d*x)^(1/2)/(2*tan(c + d*x) - 3)^(1/2),x)","-\mathrm{atan}\left(\frac{8\,d\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(\frac{\sqrt{2}\,\sqrt{3}}{2}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)-3}\,\left(\frac{2\,{\left(\frac{\sqrt{2}\,\sqrt{3}}{2}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}^2}{2\,\mathrm{tan}\left(c+d\,x\right)-3}+1\right)}\right)\,\sqrt{\frac{-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{8\,d\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(\frac{\sqrt{2}\,\sqrt{3}}{2}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{\sqrt{2\,\mathrm{tan}\left(c+d\,x\right)-3}\,\left(\frac{2\,{\left(\frac{\sqrt{2}\,\sqrt{3}}{2}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}^2}{2\,\mathrm{tan}\left(c+d\,x\right)-3}+1\right)}\right)\,\sqrt{\frac{-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((8*d*((- 1/26 + 3i/52)/d^2)^(1/2)*((2^(1/2)*3^(1/2))/2 - tan(c + d*x)^(1/2)))/((2*tan(c + d*x) - 3)^(1/2)*((2*((2^(1/2)*3^(1/2))/2 - tan(c + d*x)^(1/2))^2)/(2*tan(c + d*x) - 3) + 1)))*((- 1/26 + 3i/52)/d^2)^(1/2)*2i - atan((8*d*((- 1/26 - 3i/52)/d^2)^(1/2)*((2^(1/2)*3^(1/2))/2 - tan(c + d*x)^(1/2)))/((2*tan(c + d*x) - 3)^(1/2)*((2*((2^(1/2)*3^(1/2))/2 - tan(c + d*x)^(1/2))^2)/(2*tan(c + d*x) - 3) + 1)))*((- 1/26 - 3i/52)/d^2)^(1/2)*2i","B"
670,1,189,95,5.696513,"\text{Not used}","int(tan(c + d*x)^(1/2)/(- 2*tan(c + d*x) - 3)^(1/2),x)","-\mathrm{atan}\left(\frac{8\,d\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{-2\,\mathrm{tan}\left(c+d\,x\right)-3}\,\left(\frac{2\,{\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{2}\,\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{2\,\mathrm{tan}\left(c+d\,x\right)+3}+1\right)}\right)\,\sqrt{\frac{\frac{1}{26}+\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{8\,d\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{6}\,1{}\mathrm{i}}{2}\right)}{\sqrt{-2\,\mathrm{tan}\left(c+d\,x\right)-3}\,\left(\frac{2\,{\left(-\sqrt{\mathrm{tan}\left(c+d\,x\right)}+\frac{\sqrt{6}\,1{}\mathrm{i}}{2}\right)}^2}{2\,\mathrm{tan}\left(c+d\,x\right)+3}+1\right)}\right)\,\sqrt{\frac{\frac{1}{26}-\frac{3}{52}{}\mathrm{i}}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((8*d*((1/26 - 3i/52)/d^2)^(1/2)*((6^(1/2)*1i)/2 - tan(c + d*x)^(1/2)))/((- 2*tan(c + d*x) - 3)^(1/2)*((2*((6^(1/2)*1i)/2 - tan(c + d*x)^(1/2))^2)/(2*tan(c + d*x) + 3) + 1)))*((1/26 - 3i/52)/d^2)^(1/2)*2i - atan((8*d*((1/26 + 3i/52)/d^2)^(1/2)*((2^(1/2)*3^(1/2)*1i)/2 - tan(c + d*x)^(1/2)))/((- 2*tan(c + d*x) - 3)^(1/2)*((2*((2^(1/2)*3^(1/2)*1i)/2 - tan(c + d*x)^(1/2))^2)/(2*tan(c + d*x) + 3) + 1)))*((1/26 + 3i/52)/d^2)^(1/2)*2i","B"
671,1,2137,466,12.191357,"\text{Not used}","int(tan(c + d*x)^(5/3)/(a + b*tan(c + d*x)),x)","\left(\sum _{k=1}^4\ln\left({\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)}^2\,\left(\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\,\left({\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)}^2\,\left(\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\,\left(\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-8\,a^{10}\,b^3\,d^6+96\,a^8\,b^5\,d^6+208\,a^6\,b^7\,d^6+96\,a^4\,b^9\,d^6-8\,a^2\,b^{11}\,d^6\right)}{d^8}+\frac{{\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)}^2\,\left(-64\,a^{11}\,b^4\,d^6-192\,a^9\,b^6\,d^6-128\,a^7\,b^8\,d^6+128\,a^5\,b^{10}\,d^6+192\,a^3\,b^{12}\,d^6+64\,a\,b^{14}\,d^6\right)\,6561}{d^6}\right)-\frac{6561\,\left(64\,a^{10}\,b^2\,d^3+60\,a^8\,b^4\,d^3-28\,a^6\,b^6\,d^3+20\,a^4\,b^8\,d^3+44\,a^2\,b^{10}\,d^3\right)}{d^6}\right)-\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(8\,a^9\,b\,d^3-55\,a^7\,b^3\,d^3+50\,a^5\,b^5\,d^3+a^3\,b^7\,d^3\right)}{d^8}\right)+\frac{6561\,\left(4\,a^7\,b^2+a^3\,b^6+a\,b^8\right)}{d^6}\right)-\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^6\,b-a^4\,b^3\right)}{d^8}\right)\,\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\right)-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,\left(-b\,d+a\,d\,1{}\mathrm{i}\right)}+\ln\left(-\left(\left(\left(\left(419904\,a\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{52488\,a^2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a^2+b^2\right)}^2\,\left(a^4-14\,a^2\,b^2+b^4\right)}{d^2}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}+\frac{26244\,a^2\,b^2\,{\left(a^2+b^2\right)}^2\,\left(16\,a^4-17\,a^2\,b^2+11\,b^4\right)}{d^3}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{6561\,a^3\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(8\,a^6-55\,a^4\,b^2+50\,a^2\,b^4+b^6\right)}{d^5}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^2\,\left(4\,a^6+a^2\,b^4+b^6\right)}{d^6}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a^4\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^2-b^2\right)}{d^8}\right)\,{\left(-\frac{a^5}{a^6\,b^2\,d^3+3\,a^4\,b^4\,d^3+3\,a^2\,b^6\,d^3+b^8\,d^3}\right)}^{1/3}-\frac{\ln\left(1+{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,1{}\mathrm{i}\right)}{2\,\left(a\,d-b\,d\,1{}\mathrm{i}\right)}+\ln\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(419904\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{52488\,a^2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a^2+b^2\right)}^2\,\left(a^4-14\,a^2\,b^2+b^4\right)}{d^2}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{26244\,a^2\,b^2\,{\left(a^2+b^2\right)}^2\,\left(16\,a^4-17\,a^2\,b^2+11\,b^4\right)}{d^3}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{6561\,a^3\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(8\,a^6-55\,a^4\,b^2+50\,a^2\,b^4+b^6\right)}{d^5}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^2\,\left(4\,a^6+a^2\,b^4+b^6\right)}{d^6}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a^4\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^2-b^2\right)}{d^8}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^5}{a^6\,b^2\,d^3+3\,a^4\,b^4\,d^3+3\,a^2\,b^6\,d^3+b^8\,d^3}\right)}^{1/3}-\ln\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(419904\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{52488\,a^2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a^2+b^2\right)}^2\,\left(a^4-14\,a^2\,b^2+b^4\right)}{d^2}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{26244\,a^2\,b^2\,{\left(a^2+b^2\right)}^2\,\left(16\,a^4-17\,a^2\,b^2+11\,b^4\right)}{d^3}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a^3\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(8\,a^6-55\,a^4\,b^2+50\,a^2\,b^4+b^6\right)}{d^5}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^2\,\left(4\,a^6+a^2\,b^4+b^6\right)}{d^6}\right)\,{\left(-\frac{a^5}{b^2\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a^4\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^2-b^2\right)}{d^8}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^5}{a^6\,b^2\,d^3+3\,a^4\,b^4\,d^3+3\,a^2\,b^6\,d^3+b^8\,d^3}\right)}^{1/3}","Not used",1,"symsum(log(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)^2*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)^2*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)*((6561*tan(c + d*x)^(1/3)*(96*a^4*b^9*d^6 - 8*a^2*b^11*d^6 + 208*a^6*b^7*d^6 + 96*a^8*b^5*d^6 - 8*a^10*b^3*d^6))/d^8 + (6561*root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)^2*(64*a*b^14*d^6 + 192*a^3*b^12*d^6 + 128*a^5*b^10*d^6 - 128*a^7*b^8*d^6 - 192*a^9*b^6*d^6 - 64*a^11*b^4*d^6))/d^6) - (6561*(44*a^2*b^10*d^3 + 20*a^4*b^8*d^3 - 28*a^6*b^6*d^3 + 60*a^8*b^4*d^3 + 64*a^10*b^2*d^3))/d^6) - (6561*tan(c + d*x)^(1/3)*(8*a^9*b*d^3 + a^3*b^7*d^3 + 50*a^5*b^5*d^3 - 55*a^7*b^3*d^3))/d^8) + (6561*(a*b^8 + a^3*b^6 + 4*a^7*b^2))/d^6) - (6561*tan(c + d*x)^(1/3)*(a^6*b - a^4*b^3))/d^8)*root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k), k, 1, 4) - (log(tan(c + d*x)^(1/3) + 1i)*1i)/(2*(a*d*1i - b*d)) + log(- ((((419904*a*b^4*(a^2 - b^2)*(a^2 + b^2)^4*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) + (52488*a^2*b^3*tan(c + d*x)^(1/3)*(a^2 + b^2)^2*(a^4 + b^4 - 14*a^2*b^2))/d^2)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(1/3) + (26244*a^2*b^2*(a^2 + b^2)^2*(16*a^4 + 11*b^4 - 17*a^2*b^2))/d^3)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) + (6561*a^3*b*tan(c + d*x)^(1/3)*(8*a^6 + b^6 + 50*a^2*b^4 - 55*a^4*b^2))/d^5)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^2*(4*a^6 + b^6 + a^2*b^4))/d^6)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) - (6561*a^4*b*tan(c + d*x)^(1/3)*(a^2 - b^2))/d^8)*(-a^5/(b^8*d^3 + 3*a^2*b^6*d^3 + 3*a^4*b^4*d^3 + a^6*b^2*d^3))^(1/3) - log(tan(c + d*x)^(1/3)*1i + 1)/(2*(a*d - b*d*1i)) + log(((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 + 1/2)*(((3^(1/2)*1i)/2 - 1/2)*(419904*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 - b^2)*(a^2 + b^2)^4*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) - (52488*a^2*b^3*tan(c + d*x)^(1/3)*(a^2 + b^2)^2*(a^4 + b^4 - 14*a^2*b^2))/d^2)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(1/3) - (26244*a^2*b^2*(a^2 + b^2)^2*(16*a^4 + 11*b^4 - 17*a^2*b^2))/d^3)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) + (6561*a^3*b*tan(c + d*x)^(1/3)*(8*a^6 + b^6 + 50*a^2*b^4 - 55*a^4*b^2))/d^5)*((3^(1/2)*1i)/2 - 1/2)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^2*(4*a^6 + b^6 + a^2*b^4))/d^6)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) - (6561*a^4*b*tan(c + d*x)^(1/3)*(a^2 - b^2))/d^8)*((3^(1/2)*1i)/2 - 1/2)*(-a^5/(b^8*d^3 + 3*a^2*b^6*d^3 + 3*a^4*b^4*d^3 + a^6*b^2*d^3))^(1/3) - log(- ((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(((3^(1/2)*1i)/2 + 1/2)*(419904*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 - b^2)*(a^2 + b^2)^4*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) + (52488*a^2*b^3*tan(c + d*x)^(1/3)*(a^2 + b^2)^2*(a^4 + b^4 - 14*a^2*b^2))/d^2)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(1/3) - (26244*a^2*b^2*(a^2 + b^2)^2*(16*a^4 + 11*b^4 - 17*a^2*b^2))/d^3)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) - (6561*a^3*b*tan(c + d*x)^(1/3)*(8*a^6 + b^6 + 50*a^2*b^4 - 55*a^4*b^2))/d^5)*((3^(1/2)*1i)/2 + 1/2)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^2*(4*a^6 + b^6 + a^2*b^4))/d^6)*(-a^5/(b^2*d^3*(a^2 + b^2)^3))^(2/3) - (6561*a^4*b*tan(c + d*x)^(1/3)*(a^2 - b^2))/d^8)*((3^(1/2)*1i)/2 + 1/2)*(-a^5/(b^8*d^3 + 3*a^2*b^6*d^3 + 3*a^4*b^4*d^3 + a^6*b^2*d^3))^(1/3)","B"
672,1,2111,465,11.413969,"\text{Not used}","int(tan(c + d*x)^(1/3)/(a + b*tan(c + d*x)),x)","\left(\sum _{k=1}^4\ln\left(-\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\,\left(\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\,\left({\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)}^2\,\left(\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\,\left(\frac{6561\,\left(-4\,a^8\,b^4\,d^3+36\,a^6\,b^6\,d^3+84\,a^4\,b^8\,d^3+44\,a^2\,b^{10}\,d^3\right)}{d^6}+{\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)}^2\,\left(\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-16\,a^{11}\,b^3\,d^6+160\,a^7\,b^7\,d^6+320\,a^5\,b^9\,d^6+240\,a^3\,b^{11}\,d^6+64\,a\,b^{13}\,d^6\right)}{d^7}-\frac{\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\,\left(-64\,a^{11}\,b^4\,d^6-192\,a^9\,b^6\,d^6-128\,a^7\,b^8\,d^6+128\,a^5\,b^{10}\,d^6+192\,a^3\,b^{12}\,d^6+64\,a\,b^{14}\,d^6\right)\,6561}{d^6}\right)\right)-\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(2\,a^8\,b^3\,d^3+22\,a^6\,b^5\,d^3-58\,a^4\,b^7\,d^3+50\,a^2\,b^9\,d^3\right)}{d^7}\right)-\frac{6561\,\left(5\,a^3\,b^6+a\,b^8\right)}{d^6}\right)+\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a\,b^7-2\,a^3\,b^5\right)}{d^7}\right)\right)\,\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4-16\,a\,b^2\,d^3\,z^3-16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2-4\,a\,d\,z+1,z,k\right)\right)-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,\left(-b\,d+a\,d\,1{}\mathrm{i}\right)}-\frac{\ln\left(1+{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,1{}\mathrm{i}\right)}{2\,\left(a\,d-b\,d\,1{}\mathrm{i}\right)}+\ln\left(\left(\left(\left(\left(419904\,a\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{104976\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^2-4\,b^2\right)\,{\left(a^2+b^2\right)}^4}{d}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{26244\,a^2\,b^4\,\left(a^2-11\,b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{13122\,a^2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^6+11\,a^4\,b^2-29\,a^2\,b^4+25\,b^6\right)}{d^4}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a\,b^6\,\left(5\,a^2+b^2\right)}{d^6}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(2\,a^2-b^2\right)}{d^7}\right)\,{\left(-\frac{a\,b^2}{a^6\,d^3+3\,a^4\,b^2\,d^3+3\,a^2\,b^4\,d^3+b^6\,d^3}\right)}^{1/3}+\ln\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(419904\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{104976\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^2-4\,b^2\right)\,{\left(a^2+b^2\right)}^4}{d}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{26244\,a^2\,b^4\,\left(a^2-11\,b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}+\frac{13122\,a^2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^6+11\,a^4\,b^2-29\,a^2\,b^4+25\,b^6\right)}{d^4}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a\,b^6\,\left(5\,a^2+b^2\right)}{d^6}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(2\,a^2-b^2\right)}{d^7}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a\,b^2}{a^6\,d^3+3\,a^4\,b^2\,d^3+3\,a^2\,b^4\,d^3+b^6\,d^3}\right)}^{1/3}-\ln\left(-\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(419904\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}+\frac{104976\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^2-4\,b^2\right)\,{\left(a^2+b^2\right)}^4}{d}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{26244\,a^2\,b^4\,\left(a^2-11\,b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{13122\,a^2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^6+11\,a^4\,b^2-29\,a^2\,b^4+25\,b^6\right)}{d^4}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a\,b^6\,\left(5\,a^2+b^2\right)}{d^6}\right)\,{\left(-\frac{a\,b^2}{d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^5\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(2\,a^2-b^2\right)}{d^7}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a\,b^2}{a^6\,d^3+3\,a^4\,b^2\,d^3+3\,a^2\,b^4\,d^3+b^6\,d^3}\right)}^{1/3}","Not used",1,"symsum(log(-root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)^2*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)*((6561*(44*a^2*b^10*d^3 + 84*a^4*b^8*d^3 + 36*a^6*b^6*d^3 - 4*a^8*b^4*d^3))/d^6 + root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)^2*((6561*tan(c + d*x)^(1/3)*(64*a*b^13*d^6 + 240*a^3*b^11*d^6 + 320*a^5*b^9*d^6 + 160*a^7*b^7*d^6 - 16*a^11*b^3*d^6))/d^7 - (6561*root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k)*(64*a*b^14*d^6 + 192*a^3*b^12*d^6 + 128*a^5*b^10*d^6 - 128*a^7*b^8*d^6 - 192*a^9*b^6*d^6 - 64*a^11*b^4*d^6))/d^6)) - (6561*tan(c + d*x)^(1/3)*(50*a^2*b^9*d^3 - 58*a^4*b^7*d^3 + 22*a^6*b^5*d^3 + 2*a^8*b^3*d^3))/d^7) - (6561*(a*b^8 + 5*a^3*b^6))/d^6) + (6561*tan(c + d*x)^(1/3)*(a*b^7 - 2*a^3*b^5))/d^7))*root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 - 16*a*b^2*d^3*z^3 - 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 - 4*a*d*z + 1, z, k), k, 1, 4) - (log(tan(c + d*x)^(1/3) + 1i)*1i)/(2*(a*d*1i - b*d)) - log(tan(c + d*x)^(1/3)*1i + 1)/(2*(a*d - b*d*1i)) + log(((((419904*a*b^4*(a^2 - b^2)*(a^2 + b^2)^4*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) - (104976*a*b^3*tan(c + d*x)^(1/3)*(a^2 - 4*b^2)*(a^2 + b^2)^4)/d)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(2/3) - (26244*a^2*b^4*(a^2 - 11*b^2)*(a^2 + b^2)^2)/d^3)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) - (13122*a^2*b^3*tan(c + d*x)^(1/3)*(a^6 + 25*b^6 - 29*a^2*b^4 + 11*a^4*b^2))/d^4)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(2/3) - (6561*a*b^6*(5*a^2 + b^2))/d^6)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^5*tan(c + d*x)^(1/3)*(2*a^2 - b^2))/d^7)*(-(a*b^2)/(a^6*d^3 + b^6*d^3 + 3*a^2*b^4*d^3 + 3*a^4*b^2*d^3))^(1/3) + log(((3^(1/2)*1i)/2 - 1/2)*(((3^(1/2)*1i)/2 + 1/2)*(((3^(1/2)*1i)/2 - 1/2)*(((3^(1/2)*1i)/2 + 1/2)*(419904*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 - b^2)*(a^2 + b^2)^4*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) - (104976*a*b^3*tan(c + d*x)^(1/3)*(a^2 - 4*b^2)*(a^2 + b^2)^4)/d)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(2/3) + (26244*a^2*b^4*(a^2 - 11*b^2)*(a^2 + b^2)^2)/d^3)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) + (13122*a^2*b^3*tan(c + d*x)^(1/3)*(a^6 + 25*b^6 - 29*a^2*b^4 + 11*a^4*b^2))/d^4)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(2/3) - (6561*a*b^6*(5*a^2 + b^2))/d^6)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^5*tan(c + d*x)^(1/3)*(2*a^2 - b^2))/d^7)*((3^(1/2)*1i)/2 - 1/2)*(-(a*b^2)/(a^6*d^3 + b^6*d^3 + 3*a^2*b^4*d^3 + 3*a^4*b^2*d^3))^(1/3) - log(- ((3^(1/2)*1i)/2 + 1/2)*(((3^(1/2)*1i)/2 - 1/2)*(((3^(1/2)*1i)/2 + 1/2)*(((3^(1/2)*1i)/2 - 1/2)*(419904*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 - b^2)*(a^2 + b^2)^4*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) + (104976*a*b^3*tan(c + d*x)^(1/3)*(a^2 - 4*b^2)*(a^2 + b^2)^4)/d)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(2/3) + (26244*a^2*b^4*(a^2 - 11*b^2)*(a^2 + b^2)^2)/d^3)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) - (13122*a^2*b^3*tan(c + d*x)^(1/3)*(a^6 + 25*b^6 - 29*a^2*b^4 + 11*a^4*b^2))/d^4)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(2/3) - (6561*a*b^6*(5*a^2 + b^2))/d^6)*(-(a*b^2)/(d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^5*tan(c + d*x)^(1/3)*(2*a^2 - b^2))/d^7)*((3^(1/2)*1i)/2 + 1/2)*(-(a*b^2)/(a^6*d^3 + b^6*d^3 + 3*a^2*b^4*d^3 + 3*a^4*b^2*d^3))^(1/3)","B"
673,1,2050,467,11.667552,"\text{Not used}","int(1/(tan(c + d*x)^(1/3)*(a + b*tan(c + d*x))),x)","\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,\left(-b\,d+a\,d\,1{}\mathrm{i}\right)}+\frac{\ln\left(1+{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,1{}\mathrm{i}\right)}{2\,\left(a\,d-b\,d\,1{}\mathrm{i}\right)}+\left(\sum _{k=1}^4\ln\left(-{\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)}^2\,\left(\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\,\left({\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)}^2\,\left(\frac{6561\,\left(4\,a^8\,b^4\,d^3+28\,a^6\,b^6\,d^3+44\,a^4\,b^8\,d^3+20\,a^2\,b^{10}\,d^3\right)}{d^6}-\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\,\left(\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(-8\,a^{10}\,b^3\,d^6+32\,a^8\,b^5\,d^6+80\,a^6\,b^7\,d^6+96\,a^4\,b^9\,d^6+120\,a^2\,b^{11}\,d^6+64\,b^{13}\,d^6\right)}{d^8}+\frac{{\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)}^2\,\left(-64\,a^{11}\,b^4\,d^6-192\,a^9\,b^6\,d^6-128\,a^7\,b^8\,d^6+128\,a^5\,b^{10}\,d^6+192\,a^3\,b^{12}\,d^6+64\,a\,b^{14}\,d^6\right)\,6561}{d^6}\right)\right)-\frac{6561\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^7\,b^3\,d^3+2\,a^5\,b^5\,d^3-7\,a^3\,b^7\,d^3+40\,a\,b^9\,d^3\right)}{d^8}\right)+\frac{6561\,\left(3\,a\,b^8-a^3\,b^6\right)}{d^6}\right)+\frac{6561\,b^7\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{d^8}\right)\,\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\right)+\ln\left(\frac{6561\,b^7\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{d^8}-\left(\left(\left(\left(419904\,a\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{52488\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a^2+b^2\right)}^2\,\left(a^6-6\,a^4\,b^2+a^2\,b^4-8\,b^6\right)}{d^2}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}+\frac{26244\,a^2\,b^4\,\left(a^2+5\,b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}-\frac{6561\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^6+2\,a^4\,b^2-7\,a^2\,b^4+40\,b^6\right)}{d^5}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^6\,\left(a^2-3\,b^2\right)}{d^6}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}\right)\,{\left(-\frac{b^4}{a^7\,d^3+3\,a^5\,b^2\,d^3+3\,a^3\,b^4\,d^3+a\,b^6\,d^3}\right)}^{1/3}-\ln\left(\frac{6561\,b^7\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{d^8}-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{52488\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a^2+b^2\right)}^2\,\left(a^6-6\,a^4\,b^2+a^2\,b^4-8\,b^6\right)}{d^2}+419904\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{26244\,a^2\,b^4\,\left(a^2+5\,b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{6561\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^6+2\,a^4\,b^2-7\,a^2\,b^4+40\,b^6\right)}{d^5}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}-\frac{6561\,a\,b^6\,\left(a^2-3\,b^2\right)}{d^6}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4}{a^7\,d^3+3\,a^5\,b^2\,d^3+3\,a^3\,b^4\,d^3+a\,b^6\,d^3}\right)}^{1/3}+\ln\left(\frac{6561\,b^7\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{d^8}-\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{52488\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,{\left(a^2+b^2\right)}^2\,\left(a^6-6\,a^4\,b^2+a^2\,b^4-8\,b^6\right)}{d^2}-419904\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}+\frac{26244\,a^2\,b^4\,\left(a^2+5\,b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}+\frac{6561\,a\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(a^6+2\,a^4\,b^2-7\,a^2\,b^4+40\,b^6\right)}{d^5}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{1/3}+\frac{6561\,a\,b^6\,\left(a^2-3\,b^2\right)}{d^6}\right)\,{\left(-\frac{b^4}{a\,d^3\,{\left(a^2+b^2\right)}^3}\right)}^{2/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4}{a^7\,d^3+3\,a^5\,b^2\,d^3+3\,a^3\,b^4\,d^3+a\,b^6\,d^3}\right)}^{1/3}","Not used",1,"(log(tan(c + d*x)^(1/3) + 1i)*1i)/(2*(a*d*1i - b*d)) + log(tan(c + d*x)^(1/3)*1i + 1)/(2*(a*d - b*d*1i)) + symsum(log((6561*b^7*tan(c + d*x)^(1/3))/d^8 - root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)^2*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)^2*((6561*(20*a^2*b^10*d^3 + 44*a^4*b^8*d^3 + 28*a^6*b^6*d^3 + 4*a^8*b^4*d^3))/d^6 - root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)*((6561*tan(c + d*x)^(1/3)*(64*b^13*d^6 + 120*a^2*b^11*d^6 + 96*a^4*b^9*d^6 + 80*a^6*b^7*d^6 + 32*a^8*b^5*d^6 - 8*a^10*b^3*d^6))/d^8 + (6561*root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)^2*(64*a*b^14*d^6 + 192*a^3*b^12*d^6 + 128*a^5*b^10*d^6 - 128*a^7*b^8*d^6 - 192*a^9*b^6*d^6 - 64*a^11*b^4*d^6))/d^6)) - (6561*tan(c + d*x)^(1/3)*(40*a*b^9*d^3 - 7*a^3*b^7*d^3 + 2*a^5*b^5*d^3 + a^7*b^3*d^3))/d^8) + (6561*(3*a*b^8 - a^3*b^6))/d^6))*root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k), k, 1, 4) + log((6561*b^7*tan(c + d*x)^(1/3))/d^8 - ((((419904*a*b^4*(a^2 - b^2)*(a^2 + b^2)^4*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3) + (52488*b^3*tan(c + d*x)^(1/3)*(a^2 + b^2)^2*(a^6 - 8*b^6 + a^2*b^4 - 6*a^4*b^2))/d^2)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(1/3) + (26244*a^2*b^4*(a^2 + 5*b^2)*(a^2 + b^2)^2)/d^3)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3) - (6561*a*b^3*tan(c + d*x)^(1/3)*(a^6 + 40*b^6 - 7*a^2*b^4 + 2*a^4*b^2))/d^5)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^6*(a^2 - 3*b^2))/d^6)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3))*(-b^4/(a^7*d^3 + a*b^6*d^3 + 3*a^3*b^4*d^3 + 3*a^5*b^2*d^3))^(1/3) - log((6561*b^7*tan(c + d*x)^(1/3))/d^8 - ((3^(1/2)*1i)/2 - 1/2)*(((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 + 1/2)*((52488*b^3*tan(c + d*x)^(1/3)*(a^2 + b^2)^2*(a^6 - 8*b^6 + a^2*b^4 - 6*a^4*b^2))/d^2 + 419904*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 - b^2)*(a^2 + b^2)^4*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3))*(-b^4/(a*d^3*(a^2 + b^2)^3))^(1/3) - (26244*a^2*b^4*(a^2 + 5*b^2)*(a^2 + b^2)^2)/d^3)*((3^(1/2)*1i)/2 - 1/2)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3) + (6561*a*b^3*tan(c + d*x)^(1/3)*(a^6 + 40*b^6 - 7*a^2*b^4 + 2*a^4*b^2))/d^5)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(1/3) - (6561*a*b^6*(a^2 - 3*b^2))/d^6)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3))*((3^(1/2)*1i)/2 + 1/2)*(-b^4/(a^7*d^3 + a*b^6*d^3 + 3*a^3*b^4*d^3 + 3*a^5*b^2*d^3))^(1/3) + log((6561*b^7*tan(c + d*x)^(1/3))/d^8 - ((3^(1/2)*1i)/2 + 1/2)*(((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 - 1/2)*((52488*b^3*tan(c + d*x)^(1/3)*(a^2 + b^2)^2*(a^6 - 8*b^6 + a^2*b^4 - 6*a^4*b^2))/d^2 - 419904*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 - b^2)*(a^2 + b^2)^4*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3))*(-b^4/(a*d^3*(a^2 + b^2)^3))^(1/3) + (26244*a^2*b^4*(a^2 + 5*b^2)*(a^2 + b^2)^2)/d^3)*((3^(1/2)*1i)/2 + 1/2)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3) + (6561*a*b^3*tan(c + d*x)^(1/3)*(a^6 + 40*b^6 - 7*a^2*b^4 + 2*a^4*b^2))/d^5)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(1/3) + (6561*a*b^6*(a^2 - 3*b^2))/d^6)*(-b^4/(a*d^3*(a^2 + b^2)^3))^(2/3))*((3^(1/2)*1i)/2 - 1/2)*(-b^4/(a^7*d^3 + a*b^6*d^3 + 3*a^3*b^4*d^3 + 3*a^5*b^2*d^3))^(1/3)","B"
674,1,3159,525,5.624283,"\text{Not used}","int(1/(tan(c + d*x)^(5/3)*(a + b*tan(c + d*x))),x)","\frac{\ln\left(1+{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,1{}\mathrm{i}\right)}{2\,\left(a\,d-b\,d\,1{}\mathrm{i}\right)}+\left(\sum _{k=1}^4\ln\left(\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\,\left(\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\,\left({\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)}^2\,\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{23}\,b^3\,d^{11}+39366\,a^{21}\,b^5\,d^{11}+39366\,a^{19}\,b^7\,d^{11}+118098\,a^{17}\,b^9\,d^{11}-419904\,a^{15}\,b^{11}\,d^{11}+314928\,a^{13}\,b^{13}\,d^{11}\right)-\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\,\left({\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)}^2\,\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(104976\,a^{26}\,b^3\,d^{14}-629856\,a^{22}\,b^7\,d^{14}-419904\,a^{20}\,b^9\,d^{14}+944784\,a^{18}\,b^{11}\,d^{14}+1259712\,a^{16}\,b^{13}\,d^{14}+419904\,a^{14}\,b^{15}\,d^{14}\right)-\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\,\left(-419904\,a^{26}\,b^4\,d^{15}-1259712\,a^{24}\,b^6\,d^{15}-839808\,a^{22}\,b^8\,d^{15}+839808\,a^{20}\,b^{10}\,d^{15}+1259712\,a^{18}\,b^{12}\,d^{15}+419904\,a^{16}\,b^{14}\,d^{15}\right)\right)+419904\,a^{13}\,b^{14}\,d^{12}+419904\,a^{15}\,b^{12}\,d^{12}-288684\,a^{17}\,b^{10}\,d^{12}-131220\,a^{19}\,b^8\,d^{12}+183708\,a^{21}\,b^6\,d^{12}+26244\,a^{23}\,b^4\,d^{12}\right)\right)-26244\,a^{12}\,b^{12}\,d^9+6561\,a^{16}\,b^8\,d^9+6561\,a^{18}\,b^6\,d^9\right)+{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{12}\,b^{11}\,d^8-6561\,a^{14}\,b^9\,d^8\right)\right)\right)\,\mathrm{root}\left(32\,a^2\,b^2\,d^4\,z^4+16\,b^4\,d^4\,z^4+16\,a^4\,d^4\,z^4+16\,a\,b^2\,d^3\,z^3+16\,a^3\,d^3\,z^3-4\,b^2\,d^2\,z^2+12\,a^2\,d^2\,z^2+4\,a\,d\,z+1,z,k\right)\right)+\ln\left({\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left(\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{23}\,b^3\,d^{11}+39366\,a^{21}\,b^5\,d^{11}+39366\,a^{19}\,b^7\,d^{11}+118098\,a^{17}\,b^9\,d^{11}-419904\,a^{15}\,b^{11}\,d^{11}+314928\,a^{13}\,b^{13}\,d^{11}\right)-{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left(\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(104976\,a^{26}\,b^3\,d^{14}-629856\,a^{22}\,b^7\,d^{14}-419904\,a^{20}\,b^9\,d^{14}+944784\,a^{18}\,b^{11}\,d^{14}+1259712\,a^{16}\,b^{13}\,d^{14}+419904\,a^{14}\,b^{15}\,d^{14}\right)-{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left(-419904\,a^{26}\,b^4\,d^{15}-1259712\,a^{24}\,b^6\,d^{15}-839808\,a^{22}\,b^8\,d^{15}+839808\,a^{20}\,b^{10}\,d^{15}+1259712\,a^{18}\,b^{12}\,d^{15}+419904\,a^{16}\,b^{14}\,d^{15}\right)\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{2/3}+419904\,a^{13}\,b^{14}\,d^{12}+419904\,a^{15}\,b^{12}\,d^{12}-288684\,a^{17}\,b^{10}\,d^{12}-131220\,a^{19}\,b^8\,d^{12}+183708\,a^{21}\,b^6\,d^{12}+26244\,a^{23}\,b^4\,d^{12}\right)\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{2/3}-26244\,a^{12}\,b^{12}\,d^9+6561\,a^{16}\,b^8\,d^9+6561\,a^{18}\,b^6\,d^9\right)+{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{12}\,b^{11}\,d^8-6561\,a^{14}\,b^9\,d^8\right)\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}-\ln\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{12}\,b^{11}\,d^8-6561\,a^{14}\,b^9\,d^8\right)-\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left(\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{23}\,b^3\,d^{11}+39366\,a^{21}\,b^5\,d^{11}+39366\,a^{19}\,b^7\,d^{11}+118098\,a^{17}\,b^9\,d^{11}-419904\,a^{15}\,b^{11}\,d^{11}+314928\,a^{13}\,b^{13}\,d^{11}\right)+\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left({\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(104976\,a^{26}\,b^3\,d^{14}-629856\,a^{22}\,b^7\,d^{14}-419904\,a^{20}\,b^9\,d^{14}+944784\,a^{18}\,b^{11}\,d^{14}+1259712\,a^{16}\,b^{13}\,d^{14}+419904\,a^{14}\,b^{15}\,d^{14}\right)+\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left(-419904\,a^{26}\,b^4\,d^{15}-1259712\,a^{24}\,b^6\,d^{15}-839808\,a^{22}\,b^8\,d^{15}+839808\,a^{20}\,b^{10}\,d^{15}+1259712\,a^{18}\,b^{12}\,d^{15}+419904\,a^{16}\,b^{14}\,d^{15}\right)\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{2/3}+419904\,a^{13}\,b^{14}\,d^{12}+419904\,a^{15}\,b^{12}\,d^{12}-288684\,a^{17}\,b^{10}\,d^{12}-131220\,a^{19}\,b^8\,d^{12}+183708\,a^{21}\,b^6\,d^{12}+26244\,a^{23}\,b^4\,d^{12}\right)\right)\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{2/3}-26244\,a^{12}\,b^{12}\,d^9+6561\,a^{16}\,b^8\,d^9+6561\,a^{18}\,b^6\,d^9\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}+\ln\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{12}\,b^{11}\,d^8-6561\,a^{14}\,b^9\,d^8\right)+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left(\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(13122\,a^{23}\,b^3\,d^{11}+39366\,a^{21}\,b^5\,d^{11}+39366\,a^{19}\,b^7\,d^{11}+118098\,a^{17}\,b^9\,d^{11}-419904\,a^{15}\,b^{11}\,d^{11}+314928\,a^{13}\,b^{13}\,d^{11}\right)-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left({\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\left(104976\,a^{26}\,b^3\,d^{14}-629856\,a^{22}\,b^7\,d^{14}-419904\,a^{20}\,b^9\,d^{14}+944784\,a^{18}\,b^{11}\,d^{14}+1259712\,a^{16}\,b^{13}\,d^{14}+419904\,a^{14}\,b^{15}\,d^{14}\right)-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}\,\left(-419904\,a^{26}\,b^4\,d^{15}-1259712\,a^{24}\,b^6\,d^{15}-839808\,a^{22}\,b^8\,d^{15}+839808\,a^{20}\,b^{10}\,d^{15}+1259712\,a^{18}\,b^{12}\,d^{15}+419904\,a^{16}\,b^{14}\,d^{15}\right)\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{2/3}+419904\,a^{13}\,b^{14}\,d^{12}+419904\,a^{15}\,b^{12}\,d^{12}-288684\,a^{17}\,b^{10}\,d^{12}-131220\,a^{19}\,b^8\,d^{12}+183708\,a^{21}\,b^6\,d^{12}+26244\,a^{23}\,b^4\,d^{12}\right)\right)\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{2/3}-26244\,a^{12}\,b^{12}\,d^9+6561\,a^{16}\,b^8\,d^9+6561\,a^{18}\,b^6\,d^9\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8}{a^{11}\,d^3+3\,a^9\,b^2\,d^3+3\,a^7\,b^4\,d^3+a^5\,b^6\,d^3}\right)}^{1/3}-\frac{3}{2\,a\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^{1/3}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,\left(-b\,d+a\,d\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x)^(1/3) + 1i)*1i)/(2*(a*d*1i - b*d)) + log(tan(c + d*x)^(1/3)*1i + 1)/(2*(a*d - b*d*1i)) + symsum(log(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)^2*(tan(c + d*x)^(1/3)*(314928*a^13*b^13*d^11 - 419904*a^15*b^11*d^11 + 118098*a^17*b^9*d^11 + 39366*a^19*b^7*d^11 + 39366*a^21*b^5*d^11 + 13122*a^23*b^3*d^11) - root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)*(root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)^2*(tan(c + d*x)^(1/3)*(419904*a^14*b^15*d^14 + 1259712*a^16*b^13*d^14 + 944784*a^18*b^11*d^14 - 419904*a^20*b^9*d^14 - 629856*a^22*b^7*d^14 + 104976*a^26*b^3*d^14) - root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k)*(419904*a^16*b^14*d^15 + 1259712*a^18*b^12*d^15 + 839808*a^20*b^10*d^15 - 839808*a^22*b^8*d^15 - 1259712*a^24*b^6*d^15 - 419904*a^26*b^4*d^15)) + 419904*a^13*b^14*d^12 + 419904*a^15*b^12*d^12 - 288684*a^17*b^10*d^12 - 131220*a^19*b^8*d^12 + 183708*a^21*b^6*d^12 + 26244*a^23*b^4*d^12)) - 26244*a^12*b^12*d^9 + 6561*a^16*b^8*d^9 + 6561*a^18*b^6*d^9) + tan(c + d*x)^(1/3)*(13122*a^12*b^11*d^8 - 6561*a^14*b^9*d^8)))*root(32*a^2*b^2*d^4*z^4 + 16*b^4*d^4*z^4 + 16*a^4*d^4*z^4 + 16*a*b^2*d^3*z^3 + 16*a^3*d^3*z^3 - 4*b^2*d^2*z^2 + 12*a^2*d^2*z^2 + 4*a*d*z + 1, z, k), k, 1, 4) + log((-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*((tan(c + d*x)^(1/3)*(314928*a^13*b^13*d^11 - 419904*a^15*b^11*d^11 + 118098*a^17*b^9*d^11 + 39366*a^19*b^7*d^11 + 39366*a^21*b^5*d^11 + 13122*a^23*b^3*d^11) - (-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*((tan(c + d*x)^(1/3)*(419904*a^14*b^15*d^14 + 1259712*a^16*b^13*d^14 + 944784*a^18*b^11*d^14 - 419904*a^20*b^9*d^14 - 629856*a^22*b^7*d^14 + 104976*a^26*b^3*d^14) - (-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*(419904*a^16*b^14*d^15 + 1259712*a^18*b^12*d^15 + 839808*a^20*b^10*d^15 - 839808*a^22*b^8*d^15 - 1259712*a^24*b^6*d^15 - 419904*a^26*b^4*d^15))*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(2/3) + 419904*a^13*b^14*d^12 + 419904*a^15*b^12*d^12 - 288684*a^17*b^10*d^12 - 131220*a^19*b^8*d^12 + 183708*a^21*b^6*d^12 + 26244*a^23*b^4*d^12))*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(2/3) - 26244*a^12*b^12*d^9 + 6561*a^16*b^8*d^9 + 6561*a^18*b^6*d^9) + tan(c + d*x)^(1/3)*(13122*a^12*b^11*d^8 - 6561*a^14*b^9*d^8))*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3) - log(tan(c + d*x)^(1/3)*(13122*a^12*b^11*d^8 - 6561*a^14*b^9*d^8) - ((3^(1/2)*1i)/2 + 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*((tan(c + d*x)^(1/3)*(314928*a^13*b^13*d^11 - 419904*a^15*b^11*d^11 + 118098*a^17*b^9*d^11 + 39366*a^19*b^7*d^11 + 39366*a^21*b^5*d^11 + 13122*a^23*b^3*d^11) + ((3^(1/2)*1i)/2 + 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*(((3^(1/2)*1i)/2 + 1/2)^2*(tan(c + d*x)^(1/3)*(419904*a^14*b^15*d^14 + 1259712*a^16*b^13*d^14 + 944784*a^18*b^11*d^14 - 419904*a^20*b^9*d^14 - 629856*a^22*b^7*d^14 + 104976*a^26*b^3*d^14) + ((3^(1/2)*1i)/2 + 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*(419904*a^16*b^14*d^15 + 1259712*a^18*b^12*d^15 + 839808*a^20*b^10*d^15 - 839808*a^22*b^8*d^15 - 1259712*a^24*b^6*d^15 - 419904*a^26*b^4*d^15))*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(2/3) + 419904*a^13*b^14*d^12 + 419904*a^15*b^12*d^12 - 288684*a^17*b^10*d^12 - 131220*a^19*b^8*d^12 + 183708*a^21*b^6*d^12 + 26244*a^23*b^4*d^12))*((3^(1/2)*1i)/2 + 1/2)^2*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(2/3) - 26244*a^12*b^12*d^9 + 6561*a^16*b^8*d^9 + 6561*a^18*b^6*d^9))*((3^(1/2)*1i)/2 + 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3) + log(tan(c + d*x)^(1/3)*(13122*a^12*b^11*d^8 - 6561*a^14*b^9*d^8) + ((3^(1/2)*1i)/2 - 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*((tan(c + d*x)^(1/3)*(314928*a^13*b^13*d^11 - 419904*a^15*b^11*d^11 + 118098*a^17*b^9*d^11 + 39366*a^19*b^7*d^11 + 39366*a^21*b^5*d^11 + 13122*a^23*b^3*d^11) - ((3^(1/2)*1i)/2 - 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*(((3^(1/2)*1i)/2 - 1/2)^2*(tan(c + d*x)^(1/3)*(419904*a^14*b^15*d^14 + 1259712*a^16*b^13*d^14 + 944784*a^18*b^11*d^14 - 419904*a^20*b^9*d^14 - 629856*a^22*b^7*d^14 + 104976*a^26*b^3*d^14) - ((3^(1/2)*1i)/2 - 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3)*(419904*a^16*b^14*d^15 + 1259712*a^18*b^12*d^15 + 839808*a^20*b^10*d^15 - 839808*a^22*b^8*d^15 - 1259712*a^24*b^6*d^15 - 419904*a^26*b^4*d^15))*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(2/3) + 419904*a^13*b^14*d^12 + 419904*a^15*b^12*d^12 - 288684*a^17*b^10*d^12 - 131220*a^19*b^8*d^12 + 183708*a^21*b^6*d^12 + 26244*a^23*b^4*d^12))*((3^(1/2)*1i)/2 - 1/2)^2*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(2/3) - 26244*a^12*b^12*d^9 + 6561*a^16*b^8*d^9 + 6561*a^18*b^6*d^9))*((3^(1/2)*1i)/2 - 1/2)*(-b^8/(a^11*d^3 + a^5*b^6*d^3 + 3*a^7*b^4*d^3 + 3*a^9*b^2*d^3))^(1/3) - 3/(2*a*d*tan(c + d*x)^(2/3))","B"
675,0,-1,163,0.000000,"\text{Not used}","int(tan(c + d*x)^(4/3)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(tan(c + d*x)^(4/3)/(a + b*tan(c + d*x))^(1/2), x)","F"
676,0,-1,163,0.000000,"\text{Not used}","int(tan(c + d*x)^(2/3)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(tan(c + d*x)^(2/3)/(a + b*tan(c + d*x))^(1/2), x)","F"
677,0,-1,163,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/3)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(tan(c + d*x)^(1/3)/(a + b*tan(c + d*x))^(1/2), x)","F"
678,0,-1,163,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(1/3)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{1/3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(1/3)*(a + b*tan(c + d*x))^(1/2)), x)","F"
679,0,-1,163,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(2/3)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{2/3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(2/3)*(a + b*tan(c + d*x))^(1/2)), x)","F"
680,0,-1,163,0.000000,"\text{Not used}","int(1/(tan(c + d*x)^(4/3)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{tan}\left(c+d\,x\right)}^{4/3}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(tan(c + d*x)^(4/3)*(a + b*tan(c + d*x))^(1/2)), x)","F"
681,1,1015,525,18.884549,"\text{Not used}","int(tan(e + f*x)^4*(c + d*tan(e + f*x))^(1/3),x)","\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+f\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(2\,c\,\left(\frac{6\,c^2}{d^3\,f}-\frac{3\,\left(c^2+d^2\right)}{d^3\,f}\right)-\frac{12\,c^3}{d^3\,f}+\frac{6\,c\,\left(c^2+d^2\right)}{d^3\,f}\right)+\left(\frac{3\,c^2}{2\,d^3\,f}-\frac{3\,\left(c^2+d^2\right)}{4\,d^3\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}+\ln\left(-c\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,1{}\mathrm{i}+f^4\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{4/3}+2\,d\,f\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\right)\,{\left(\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(-\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}+\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\right)}{4}+\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\right)}{4}-\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\frac{3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{10/3}}{10\,d^3\,f}-\ln\left(-\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}+\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\frac{6\,c\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/3}}{7\,d^3\,f}","Not used",1,"log((c + d*tan(e + f*x))^(1/3) + f*(-(c*1i + d)/f^3)^(1/3)*1i)*(-(c*1i + d)/(8*f^3))^(1/3) + (c + d*tan(e + f*x))^(1/3)*(2*c*((6*c^2)/(d^3*f) - (3*(c^2 + d^2))/(d^3*f)) - (12*c^3)/(d^3*f) + (6*c*(c^2 + d^2))/(d^3*f)) + ((3*c^2)/(2*d^3*f) - (3*(c^2 + d^2))/(4*d^3*f))*(c + d*tan(e + f*x))^(4/3) + log(d*(c + d*tan(e + f*x))^(1/3)*1i - c*(c + d*tan(e + f*x))^(1/3) + f^4*((c*1i - d)/f^3)^(4/3) + 2*d*f*((c*1i - d)/f^3)^(1/3))*((c*1i - d)/(8*f^3))^(1/3) - log((((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*((((c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(c^2 + d^2)))/4 + (1944*c*d^5*(c^2 + d^2))/f^3))/2 - (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*((c*1i - d)/(8*f^3))^(1/3) + log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*((((c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(c^2 + d^2)))/4 - (1944*c*d^5*(c^2 + d^2))/f^3))/2)*((3^(1/2)*1i)/2 - 1/2)*((c*1i - d)/(8*f^3))^(1/3) + (3*(c + d*tan(e + f*x))^(10/3))/(10*d^3*f) - log((((3^(1/2)*1i)/2 + 1/2)*((((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i + d)/f^3)^(1/3)*(c^2 + d^2))*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i + d)/f^3)^(2/3))/4 + (1944*c*d^5*(c^2 + d^2))/f^3)*(-(c*1i + d)/f^3)^(1/3))/2 - (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i + d)/(8*f^3))^(1/3) + log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 - 1/2)*((((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i + d)/f^3)^(1/3)*(c^2 + d^2))*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i + d)/f^3)^(2/3))/4 - (1944*c*d^5*(c^2 + d^2))/f^3)*(-(c*1i + d)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i + d)/(8*f^3))^(1/3) - (6*c*(c + d*tan(e + f*x))^(7/3))/(7*d^3*f)","B"
682,1,890,373,11.794374,"\text{Not used}","int(tan(e + f*x)^3*(c + d*tan(e + f*x))^(1/3),x)","\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+f\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+f\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\left(\frac{3\,c^2}{d^2\,f}-\frac{3\,\left(c^2+d^2\right)}{d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+\frac{3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/3}}{7\,d^2\,f}+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\frac{3\,c\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}}{4\,d^2\,f}","Not used",1,"log((c + d*tan(e + f*x))^(1/3) + f*(-(c - d*1i)/f^3)^(1/3))*(-(c - d*1i)/(8*f^3))^(1/3) + log((c + d*tan(e + f*x))^(1/3) + f*(-(c + d*1i)/f^3)^(1/3))*(-(c + d*1i)/(8*f^3))^(1/3) + ((3*c^2)/(d^2*f) - (3*(c^2 + d^2))/(d^2*f))*(c + d*tan(e + f*x))^(1/3) + (3*(c + d*tan(e + f*x))^(7/3))/(7*d^2*f) + log((((3^(1/2)*1i)/2 - 1/2)*((972*(d^8 - c^4*d^4))/f^3 + (((3^(1/2)*1i)/2 + 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((3^(1/2)*1i)/2 - 1/2)*(-(c - d*1i)/f^3)^(1/3)*(c^2 + d^2))*(-(c - d*1i)/f^3)^(2/3))/4)*(-(c - d*1i)/f^3)^(1/3))/2 + (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 - 1/2)*(-(c - d*1i)/(8*f^3))^(1/3) + log((((3^(1/2)*1i)/2 - 1/2)*((972*(d^8 - c^4*d^4))/f^3 + (((3^(1/2)*1i)/2 + 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((3^(1/2)*1i)/2 - 1/2)*(-(c + d*1i)/f^3)^(1/3)*(c^2 + d^2))*(-(c + d*1i)/f^3)^(2/3))/4)*(-(c + d*1i)/f^3)^(1/3))/2 + (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 - 1/2)*(-(c + d*1i)/(8*f^3))^(1/3) - log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 + 1/2)*((972*(d^8 - c^4*d^4))/f^3 - (((3^(1/2)*1i)/2 - 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(-(c - d*1i)/f^3)^(1/3)*(c^2 + d^2))*(-(c - d*1i)/f^3)^(2/3))/4)*(-(c - d*1i)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2)*(-(c - d*1i)/(8*f^3))^(1/3) - log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 + 1/2)*((972*(d^8 - c^4*d^4))/f^3 - (((3^(1/2)*1i)/2 - 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(-(c + d*1i)/f^3)^(1/3)*(c^2 + d^2))*(-(c + d*1i)/f^3)^(2/3))/4)*(-(c + d*1i)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2)*(-(c + d*1i)/(8*f^3))^(1/3) - (3*c*(c + d*tan(e + f*x))^(4/3))/(4*d^2*f)","B"
683,1,881,439,8.729191,"\text{Not used}","int(tan(e + f*x)^2*(c + d*tan(e + f*x))^(1/3),x)","\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+f\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(c\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,1{}\mathrm{i}-f^4\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{4/3}+2\,d\,f\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(-\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\right)}{4}-\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}+\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\right)}{4}+\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\frac{3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}}{4\,d\,f}+\ln\left(-\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}+\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}","Not used",1,"log(f*(-(c*1i - d)/f^3)^(1/3)*1i + (c + d*tan(e + f*x))^(1/3))*(-(c*1i - d)/(8*f^3))^(1/3) + log(c*(c + d*tan(e + f*x))^(1/3) + d*(c + d*tan(e + f*x))^(1/3)*1i - f^4*((c*1i + d)/f^3)^(4/3) + 2*d*f*((c*1i + d)/f^3)^(1/3))*((c*1i + d)/(8*f^3))^(1/3) + log(- (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - ((-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(((-(c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*(-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(c^2 + d^2)))/4 - (1944*c*d^5*(c^2 + d^2))/f^3))/2)*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i - d)/(8*f^3))^(1/3) - log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 + ((-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(((-(c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*(-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(c^2 + d^2)))/4 + (1944*c*d^5*(c^2 + d^2))/f^3))/2)*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i - d)/(8*f^3))^(1/3) + (3*(c + d*tan(e + f*x))^(4/3))/(4*d*f) + log(- (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 - 1/2)*((((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((3^(1/2)*1i)/2 - 1/2)*((c*1i + d)/f^3)^(1/3)*(c^2 + d^2))*((3^(1/2)*1i)/2 + 1/2)*((c*1i + d)/f^3)^(2/3))/4 - (1944*c*d^5*(c^2 + d^2))/f^3)*((c*1i + d)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2)*((c*1i + d)/(8*f^3))^(1/3) - log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 + (((3^(1/2)*1i)/2 + 1/2)*((((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((3^(1/2)*1i)/2 + 1/2)*((c*1i + d)/f^3)^(1/3)*(c^2 + d^2))*((3^(1/2)*1i)/2 - 1/2)*((c*1i + d)/f^3)^(2/3))/4 + (1944*c*d^5*(c^2 + d^2))/f^3)*((c*1i + d)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2)*((c*1i + d)/(8*f^3))^(1/3)","B"
684,1,830,318,8.078115,"\text{Not used}","int(tan(e + f*x)*(c + d*tan(e + f*x))^(1/3),x)","\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}-f\,{\left(\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}-f\,{\left(\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\frac{3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,\left(d^8-c^4\,d^4\right)}{f^3}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,c\,d^4\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}","Not used",1,"log((c + d*tan(e + f*x))^(1/3) - f*((c - d*1i)/f^3)^(1/3))*((c - d*1i)/(8*f^3))^(1/3) + log((c + d*tan(e + f*x))^(1/3) - f*((c + d*1i)/f^3)^(1/3))*((c + d*1i)/(8*f^3))^(1/3) + (3*(c + d*tan(e + f*x))^(1/3))/f + log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 - 1/2)*((972*(d^8 - c^4*d^4))/f^3 + (((3^(1/2)*1i)/2 + 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((3^(1/2)*1i)/2 - 1/2)*((c - d*1i)/f^3)^(1/3)*(c^2 + d^2))*((c - d*1i)/f^3)^(2/3))/4)*((c - d*1i)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2)*((c - d*1i)/(8*f^3))^(1/3) + log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 - 1/2)*((972*(d^8 - c^4*d^4))/f^3 + (((3^(1/2)*1i)/2 + 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((3^(1/2)*1i)/2 - 1/2)*((c + d*1i)/f^3)^(1/3)*(c^2 + d^2))*((c + d*1i)/f^3)^(2/3))/4)*((c + d*1i)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2)*((c + d*1i)/(8*f^3))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((972*(d^8 - c^4*d^4))/f^3 - (((3^(1/2)*1i)/2 - 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((3^(1/2)*1i)/2 + 1/2)*((c - d*1i)/f^3)^(1/3)*(c^2 + d^2))*((c - d*1i)/f^3)^(2/3))/4)*((c - d*1i)/f^3)^(1/3))/2 + (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*((c - d*1i)/(8*f^3))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((972*(d^8 - c^4*d^4))/f^3 - (((3^(1/2)*1i)/2 - 1/2)*((3888*c*d^4*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((3^(1/2)*1i)/2 + 1/2)*((c + d*1i)/f^3)^(1/3)*(c^2 + d^2))*((c + d*1i)/f^3)^(2/3))/4)*((c + d*1i)/f^3)^(1/3))/2 + (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*((c + d*1i)/(8*f^3))^(1/3)","B"
685,1,863,415,6.879850,"\text{Not used}","int((c + d*tan(e + f*x))^(1/3),x)","\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+f\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(-c\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,1{}\mathrm{i}+f^4\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{4/3}+2\,d\,f\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\right)\,{\left(\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(-\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}+\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\right)}{4}+\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,{\left(\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\right)}{4}-\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(-\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-3888\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}+\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{486\,\left(d^8-c^4\,d^4\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{3888\,d^5\,\left(c^2+d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+3888\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(c^2+d^2\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{1944\,c\,d^5\,\left(c^2+d^2\right)}{f^3}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}","Not used",1,"log((c + d*tan(e + f*x))^(1/3) + f*(-(c*1i + d)/f^3)^(1/3)*1i)*(-(c*1i + d)/(8*f^3))^(1/3) + log(d*(c + d*tan(e + f*x))^(1/3)*1i - c*(c + d*tan(e + f*x))^(1/3) + f^4*((c*1i - d)/f^3)^(4/3) + 2*d*f*((c*1i - d)/f^3)^(1/3))*((c*1i - d)/(8*f^3))^(1/3) - log((((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*((((c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(c^2 + d^2)))/4 + (1944*c*d^5*(c^2 + d^2))/f^3))/2 - (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*((c*1i - d)/(8*f^3))^(1/3) + log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*((((c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(c^2 + d^2)))/4 - (1944*c*d^5*(c^2 + d^2))/f^3))/2)*((3^(1/2)*1i)/2 - 1/2)*((c*1i - d)/(8*f^3))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f - 3888*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i + d)/f^3)^(1/3)*(c^2 + d^2))*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i + d)/f^3)^(2/3))/4 + (1944*c*d^5*(c^2 + d^2))/f^3)*(-(c*1i + d)/f^3)^(1/3))/2 - (486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i + d)/(8*f^3))^(1/3) + log((486*(d^8 - c^4*d^4)*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 - 1/2)*((((3888*d^5*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/3))/f + 3888*c*d^4*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i + d)/f^3)^(1/3)*(c^2 + d^2))*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i + d)/f^3)^(2/3))/4 - (1944*c*d^5*(c^2 + d^2))/f^3)*(-(c*1i + d)/f^3)^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i + d)/(8*f^3))^(1/3)","B"
686,1,2133,402,15.562947,"\text{Not used}","int(cot(e + f*x)*(c + d*tan(e + f*x))^(1/3),x)","\ln\left({\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}-f\,{\left(\frac{c}{f^3}\right)}^{1/3}\right)\,{\left(\frac{c}{f^3}\right)}^{1/3}+\ln\left(\frac{{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{\left(\frac{\left(104976\,c\,d^{14}\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)-\frac{104976\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^4+7\,c^2\,d^2+4\,d^4\right)}{f}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{78732\,c^2\,d^{14}\,\left(c^4-d^4\right)}{f^3}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}-\frac{39366\,c^2\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(5\,c^4+8\,c^2\,d^2+3\,d^4\right)}{f^4}\right)}{4}+\frac{6561\,c\,d^{14}\,\left(-3\,c^6+3\,c^4\,d^2+7\,c^2\,d^4+d^6\right)}{f^6}\right)}{2}-\frac{6561\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^6+3\,c^4\,d^2+c^2\,d^4+d^6\right)}{f^7}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{\left(\frac{\left(104976\,c\,d^{14}\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)-\frac{104976\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^4+7\,c^2\,d^2+4\,d^4\right)}{f}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{78732\,c^2\,d^{14}\,\left(c^4-d^4\right)}{f^3}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}-\frac{39366\,c^2\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(5\,c^4+8\,c^2\,d^2+3\,d^4\right)}{f^4}\right)}{4}+\frac{6561\,c\,d^{14}\,\left(-3\,c^6+3\,c^4\,d^2+7\,c^2\,d^4+d^6\right)}{f^6}\right)}{2}-\frac{6561\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^6+3\,c^4\,d^2+c^2\,d^4+d^6\right)}{f^7}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\frac{\ln\left(2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+f\,{\left(\frac{c}{f^3}\right)}^{1/3}-\sqrt{3}\,f\,{\left(\frac{c}{f^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{c}{f^3}\right)}^{1/3}}{2}-\frac{\ln\left(2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+f\,{\left(\frac{c}{f^3}\right)}^{1/3}+\sqrt{3}\,f\,{\left(\frac{c}{f^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{c}{f^3}\right)}^{1/3}}{2}+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{104976\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^4+7\,c^2\,d^2+4\,d^4\right)}{f}-104976\,c\,d^{14}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)}{4}-\frac{78732\,c^2\,d^{14}\,\left(c^4-d^4\right)}{f^3}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}-\frac{39366\,c^2\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(5\,c^4+8\,c^2\,d^2+3\,d^4\right)}{f^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{6561\,c\,d^{14}\,\left(-3\,c^6+3\,c^4\,d^2+7\,c^2\,d^4+d^6\right)}{f^6}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{6561\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^6+3\,c^4\,d^2+c^2\,d^4+d^6\right)}{f^7}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{104976\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^4+7\,c^2\,d^2+4\,d^4\right)}{f}-104976\,c\,d^{14}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)}{4}-\frac{78732\,c^2\,d^{14}\,\left(c^4-d^4\right)}{f^3}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}-\frac{39366\,c^2\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(5\,c^4+8\,c^2\,d^2+3\,d^4\right)}{f^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{6561\,c\,d^{14}\,\left(-3\,c^6+3\,c^4\,d^2+7\,c^2\,d^4+d^6\right)}{f^6}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{6561\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^6+3\,c^4\,d^2+c^2\,d^4+d^6\right)}{f^7}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{104976\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^4+7\,c^2\,d^2+4\,d^4\right)}{f}+104976\,c\,d^{14}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)}{4}+\frac{78732\,c^2\,d^{14}\,\left(c^4-d^4\right)}{f^3}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}-\frac{39366\,c^2\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(5\,c^4+8\,c^2\,d^2+3\,d^4\right)}{f^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}+\frac{6561\,c\,d^{14}\,\left(-3\,c^6+3\,c^4\,d^2+7\,c^2\,d^4+d^6\right)}{f^6}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{6561\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^6+3\,c^4\,d^2+c^2\,d^4+d^6\right)}{f^7}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c-d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{104976\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^4+7\,c^2\,d^2+4\,d^4\right)}{f}+104976\,c\,d^{14}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)}{4}+\frac{78732\,c^2\,d^{14}\,\left(c^4-d^4\right)}{f^3}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}-\frac{39366\,c^2\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(5\,c^4+8\,c^2\,d^2+3\,d^4\right)}{f^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}+\frac{6561\,c\,d^{14}\,\left(-3\,c^6+3\,c^4\,d^2+7\,c^2\,d^4+d^6\right)}{f^6}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{6561\,c\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(3\,c^6+3\,c^4\,d^2+c^2\,d^4+d^6\right)}{f^7}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{c+d\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}","Not used",1,"log((c + d*tan(e + f*x))^(1/3) - f*(c/f^3)^(1/3))*(c/f^3)^(1/3) + log(((-(c - d*1i)/f^3)^(1/3)*(((-(c - d*1i)/f^3)^(2/3)*(((((104976*c*d^14*(-(c - d*1i)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2) - (104976*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^4 + 4*d^4 + 7*c^2*d^2))/f)*(-(c - d*1i)/f^3)^(2/3))/4 - (78732*c^2*d^14*(c^4 - d^4))/f^3)*(-(c - d*1i)/f^3)^(1/3))/2 - (39366*c^2*d^14*(c + d*tan(e + f*x))^(1/3)*(5*c^4 + 3*d^4 + 8*c^2*d^2))/f^4))/4 + (6561*c*d^14*(d^6 - 3*c^6 + 7*c^2*d^4 + 3*c^4*d^2))/f^6))/2 - (6561*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^6 + d^6 + c^2*d^4 + 3*c^4*d^2))/f^7)*(-(c - d*1i)/(8*f^3))^(1/3) + log(((-(c + d*1i)/f^3)^(1/3)*(((-(c + d*1i)/f^3)^(2/3)*(((((104976*c*d^14*(-(c + d*1i)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2) - (104976*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^4 + 4*d^4 + 7*c^2*d^2))/f)*(-(c + d*1i)/f^3)^(2/3))/4 - (78732*c^2*d^14*(c^4 - d^4))/f^3)*(-(c + d*1i)/f^3)^(1/3))/2 - (39366*c^2*d^14*(c + d*tan(e + f*x))^(1/3)*(5*c^4 + 3*d^4 + 8*c^2*d^2))/f^4))/4 + (6561*c*d^14*(d^6 - 3*c^6 + 7*c^2*d^4 + 3*c^4*d^2))/f^6))/2 - (6561*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^6 + d^6 + c^2*d^4 + 3*c^4*d^2))/f^7)*(-(c + d*1i)/(8*f^3))^(1/3) + (log(2*(c + d*tan(e + f*x))^(1/3) + f*(c/f^3)^(1/3) - 3^(1/2)*f*(c/f^3)^(1/3)*1i)*(3^(1/2)*1i - 1)*(c/f^3)^(1/3))/2 - (log(2*(c + d*tan(e + f*x))^(1/3) + f*(c/f^3)^(1/3) + 3^(1/2)*f*(c/f^3)^(1/3)*1i)*(3^(1/2)*1i + 1)*(c/f^3)^(1/3))/2 + log((((3^(1/2)*1i)/2 - 1/2)*((((((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*(-(c - d*1i)/f^3)^(2/3)*((104976*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^4 + 4*d^4 + 7*c^2*d^2))/f - 104976*c*d^14*((3^(1/2)*1i)/2 - 1/2)*(-(c - d*1i)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2)))/4 - (78732*c^2*d^14*(c^4 - d^4))/f^3)*(-(c - d*1i)/f^3)^(1/3))/2 - (39366*c^2*d^14*(c + d*tan(e + f*x))^(1/3)*(5*c^4 + 3*d^4 + 8*c^2*d^2))/f^4)*((3^(1/2)*1i)/2 + 1/2)*(-(c - d*1i)/f^3)^(2/3))/4 - (6561*c*d^14*(d^6 - 3*c^6 + 7*c^2*d^4 + 3*c^4*d^2))/f^6)*(-(c - d*1i)/f^3)^(1/3))/2 + (6561*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^6 + d^6 + c^2*d^4 + 3*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 - 1/2)*(-(c - d*1i)/(8*f^3))^(1/3) + log((((3^(1/2)*1i)/2 - 1/2)*((((((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*(-(c + d*1i)/f^3)^(2/3)*((104976*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^4 + 4*d^4 + 7*c^2*d^2))/f - 104976*c*d^14*((3^(1/2)*1i)/2 - 1/2)*(-(c + d*1i)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2)))/4 - (78732*c^2*d^14*(c^4 - d^4))/f^3)*(-(c + d*1i)/f^3)^(1/3))/2 - (39366*c^2*d^14*(c + d*tan(e + f*x))^(1/3)*(5*c^4 + 3*d^4 + 8*c^2*d^2))/f^4)*((3^(1/2)*1i)/2 + 1/2)*(-(c + d*1i)/f^3)^(2/3))/4 - (6561*c*d^14*(d^6 - 3*c^6 + 7*c^2*d^4 + 3*c^4*d^2))/f^6)*(-(c + d*1i)/f^3)^(1/3))/2 + (6561*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^6 + d^6 + c^2*d^4 + 3*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 - 1/2)*(-(c + d*1i)/(8*f^3))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(-(c - d*1i)/f^3)^(2/3)*((104976*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^4 + 4*d^4 + 7*c^2*d^2))/f + 104976*c*d^14*((3^(1/2)*1i)/2 + 1/2)*(-(c - d*1i)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2)))/4 + (78732*c^2*d^14*(c^4 - d^4))/f^3)*(-(c - d*1i)/f^3)^(1/3))/2 - (39366*c^2*d^14*(c + d*tan(e + f*x))^(1/3)*(5*c^4 + 3*d^4 + 8*c^2*d^2))/f^4)*((3^(1/2)*1i)/2 - 1/2)*(-(c - d*1i)/f^3)^(2/3))/4 + (6561*c*d^14*(d^6 - 3*c^6 + 7*c^2*d^4 + 3*c^4*d^2))/f^6)*(-(c - d*1i)/f^3)^(1/3))/2 + (6561*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^6 + d^6 + c^2*d^4 + 3*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 + 1/2)*(-(c - d*1i)/(8*f^3))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(-(c + d*1i)/f^3)^(2/3)*((104976*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^4 + 4*d^4 + 7*c^2*d^2))/f + 104976*c*d^14*((3^(1/2)*1i)/2 + 1/2)*(-(c + d*1i)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2)))/4 + (78732*c^2*d^14*(c^4 - d^4))/f^3)*(-(c + d*1i)/f^3)^(1/3))/2 - (39366*c^2*d^14*(c + d*tan(e + f*x))^(1/3)*(5*c^4 + 3*d^4 + 8*c^2*d^2))/f^4)*((3^(1/2)*1i)/2 - 1/2)*(-(c + d*1i)/f^3)^(2/3))/4 + (6561*c*d^14*(d^6 - 3*c^6 + 7*c^2*d^4 + 3*c^4*d^2))/f^6)*(-(c + d*1i)/f^3)^(1/3))/2 + (6561*c*d^14*(c + d*tan(e + f*x))^(1/3)*(3*c^6 + d^6 + c^2*d^4 + 3*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 + 1/2)*(-(c + d*1i)/(8*f^3))^(1/3)","B"
687,1,3239,546,21.079978,"\text{Not used}","int(cot(e + f*x)^2*(c + d*tan(e + f*x))^(1/3),x)","\ln\left(\left(\left(\left(\left(\frac{243\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(1008\,c^4\,d^{15}\,f^6+1584\,c^2\,d^{17}\,f^6+576\,d^{19}\,f^6\right)}{f^7}-\frac{243\,\left(2592\,c^5\,d^{14}\,f^6+4320\,c^3\,d^{16}\,f^6+1728\,c\,d^{18}\,f^6\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{1/3}}{f^6}\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{2/3}+\frac{243\,\left(648\,c^5\,d^{15}\,f^3+1112\,c^3\,d^{17}\,f^3+464\,c\,d^{19}\,f^3\right)}{f^6}\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{1/3}-\frac{243\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-54\,c^6\,d^{14}\,f^3+144\,c^4\,d^{16}\,f^3+358\,c^2\,d^{18}\,f^3+160\,d^{20}\,f^3\right)}{f^7}\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{2/3}-\frac{243\,\left(27\,c^7\,d^{14}+81\,c^5\,d^{16}+89\,c^3\,d^{18}+35\,c\,d^{20}\right)}{f^6}\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{1/3}+\frac{243\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6\,d^{15}+25\,c^4\,d^{17}+27\,c^2\,d^{19}+11\,d^{21}\right)}{f^7}\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{1/3}+\ln\left(\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}-\frac{{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{\left(\frac{{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{\left(104976\,c\,d^{14}\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)-\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)}{2}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}+\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(104976\,c\,d^{14}\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)-\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}\right)}{4}-\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)}{2}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)}{4}+\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)}{2}-\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}\right)\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(-\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}-104976\,c\,d^{14}\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)}{4}-\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)}{2}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)}{4}-\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)}{2}-\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}+104976\,c\,d^{14}\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)}{4}+\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)}{2}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)}{4}+\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)}{2}+\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\frac{d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{c\,f-f\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}+\ln\left(-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}-104976\,c\,d^{14}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}-\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)}{4}-\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}-\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}+104976\,c\,d^{14}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{2/3}}{4}+\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)}{4}+\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{f^3}\right)}^{1/3}}{2}+\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d+c\,1{}\mathrm{i}}{8\,f^3}\right)}^{1/3}+\ln\left(-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}-69984\,c\,d^{14}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{1/3}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{2/3}}{9}-\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{1/3}}{3}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{2/3}}{9}-\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{1/3}}{3}-\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{34992\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(7\,c^4+11\,c^2\,d^2+4\,d^4\right)}{f}+69984\,c\,d^{14}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(3\,c^4+5\,c^2\,d^2+2\,d^4\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{1/3}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{2/3}}{9}+\frac{1944\,c\,d^{15}\,\left(81\,c^4+139\,c^2\,d^2+58\,d^4\right)}{f^3}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{1/3}}{3}+\frac{486\,d^{14}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(-27\,c^6+72\,c^4\,d^2+179\,c^2\,d^4+80\,d^6\right)}{f^4}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{2/3}}{9}+\frac{243\,c\,d^{14}\,\left(27\,c^6+81\,c^4\,d^2+89\,c^2\,d^4+35\,d^6\right)}{f^6}\right)\,{\left(\frac{d^3}{c^2\,f^3}\right)}^{1/3}}{3}+\frac{243\,d^{15}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\left(9\,c^6+25\,c^4\,d^2+27\,c^2\,d^4+11\,d^6\right)}{f^7}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{d^3}{27\,c^2\,f^3}\right)}^{1/3}","Not used",1,"log((((((243*(c + d*tan(e + f*x))^(1/3)*(576*d^19*f^6 + 1584*c^2*d^17*f^6 + 1008*c^4*d^15*f^6))/f^7 - (243*(1728*c*d^18*f^6 + 4320*c^3*d^16*f^6 + 2592*c^5*d^14*f^6)*(d^3/(27*c^2*f^3))^(1/3))/f^6)*(d^3/(27*c^2*f^3))^(2/3) + (243*(464*c*d^19*f^3 + 1112*c^3*d^17*f^3 + 648*c^5*d^15*f^3))/f^6)*(d^3/(27*c^2*f^3))^(1/3) - (243*(c + d*tan(e + f*x))^(1/3)*(160*d^20*f^3 + 358*c^2*d^18*f^3 + 144*c^4*d^16*f^3 - 54*c^6*d^14*f^3))/f^7)*(d^3/(27*c^2*f^3))^(2/3) - (243*(35*c*d^20 + 89*c^3*d^18 + 81*c^5*d^16 + 27*c^7*d^14))/f^6)*(d^3/(27*c^2*f^3))^(1/3) + (243*(c + d*tan(e + f*x))^(1/3)*(11*d^21 + 27*c^2*d^19 + 25*c^4*d^17 + 9*c^6*d^15))/f^7)*(d^3/(27*c^2*f^3))^(1/3) + log((243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7 - (((c*1i + d)/f^3)^(1/3)*((((((c*1i + d)/f^3)^(1/3)*(((104976*c*d^14*((c*1i + d)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2) - (34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f)*((c*1i + d)/f^3)^(2/3))/4 - (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3))/2 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4)*((c*1i + d)/f^3)^(2/3))/4 + (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6))/2)*((c*1i + d)/(8*f^3))^(1/3) + log(((-(c*1i - d)/f^3)^(1/3)*(((-(c*1i - d)/f^3)^(2/3)*(((-(c*1i - d)/f^3)^(1/3)*(((-(c*1i - d)/f^3)^(2/3)*(104976*c*d^14*(-(c*1i - d)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2) - (34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f))/4 - (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3))/2 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4))/4 + (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6))/2 - (243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7)*(-(c*1i - d)/(8*f^3))^(1/3) + log(- ((-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(((-(c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*(((-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(((-(c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*((34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f - 104976*c*d^14*(-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(3*c^4 + 2*d^4 + 5*c^2*d^2)))/4 - (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3))/2 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4))/4 - (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6))/2 - (243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 - 1/2)*(-(c*1i - d)/(8*f^3))^(1/3) - log(((-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(((-(c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*(((-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(((-(c*1i - d)/f^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*((34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f + 104976*c*d^14*(-(c*1i - d)/f^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(3*c^4 + 2*d^4 + 5*c^2*d^2)))/4 + (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3))/2 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4))/4 + (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6))/2 + (243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 + 1/2)*(-(c*1i - d)/(8*f^3))^(1/3) + (d*(c + d*tan(e + f*x))^(1/3))/(c*f - f*(c + d*tan(e + f*x))) + log(- (((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*((c*1i + d)/f^3)^(2/3)*((((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*((34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f - 104976*c*d^14*((3^(1/2)*1i)/2 - 1/2)*((c*1i + d)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2))*((c*1i + d)/f^3)^(2/3))/4 - (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3)*((c*1i + d)/f^3)^(1/3))/2 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4))/4 - (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6)*((c*1i + d)/f^3)^(1/3))/2 - (243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 - 1/2)*((c*1i + d)/(8*f^3))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*((c*1i + d)/f^3)^(2/3)*((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*((34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f + 104976*c*d^14*((3^(1/2)*1i)/2 + 1/2)*((c*1i + d)/f^3)^(1/3)*(3*c^4 + 2*d^4 + 5*c^2*d^2))*((c*1i + d)/f^3)^(2/3))/4 + (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3)*((c*1i + d)/f^3)^(1/3))/2 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4))/4 + (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6)*((c*1i + d)/f^3)^(1/3))/2 + (243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 + 1/2)*((c*1i + d)/(8*f^3))^(1/3) + log(- (((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*((34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f - 69984*c*d^14*((3^(1/2)*1i)/2 - 1/2)*(3*c^4 + 2*d^4 + 5*c^2*d^2)*(d^3/(c^2*f^3))^(1/3))*(d^3/(c^2*f^3))^(2/3))/9 - (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3)*(d^3/(c^2*f^3))^(1/3))/3 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4)*(d^3/(c^2*f^3))^(2/3))/9 - (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6)*(d^3/(c^2*f^3))^(1/3))/3 - (243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 - 1/2)*(d^3/(27*c^2*f^3))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*((34992*d^15*(c + d*tan(e + f*x))^(1/3)*(7*c^4 + 4*d^4 + 11*c^2*d^2))/f + 69984*c*d^14*((3^(1/2)*1i)/2 + 1/2)*(3*c^4 + 2*d^4 + 5*c^2*d^2)*(d^3/(c^2*f^3))^(1/3))*(d^3/(c^2*f^3))^(2/3))/9 + (1944*c*d^15*(81*c^4 + 58*d^4 + 139*c^2*d^2))/f^3)*(d^3/(c^2*f^3))^(1/3))/3 + (486*d^14*(c + d*tan(e + f*x))^(1/3)*(80*d^6 - 27*c^6 + 179*c^2*d^4 + 72*c^4*d^2))/f^4)*(d^3/(c^2*f^3))^(2/3))/9 + (243*c*d^14*(27*c^6 + 35*d^6 + 89*c^2*d^4 + 81*c^4*d^2))/f^6)*(d^3/(c^2*f^3))^(1/3))/3 + (243*d^15*(c + d*tan(e + f*x))^(1/3)*(9*c^6 + 11*d^6 + 27*c^2*d^4 + 25*c^4*d^2))/f^7)*((3^(1/2)*1i)/2 + 1/2)*(d^3/(27*c^2*f^3))^(1/3)","B"
688,1,1540,329,10.090248,"\text{Not used}","int((a + b*tan(c + d*x))^(5/3),x)","\ln\left(\frac{{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{2/3}\,\left(\frac{{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{1/3}\,\left(1944\,a\,b^4\,{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{2/3}\,\left(a^2+b^2\right)+\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)}{2}+\frac{1944\,a\,b^5\,\left(3\,a^6-7\,a^4\,b^2-7\,a^2\,b^4+3\,b^6\right)}{d^3}\right)}{4}+\frac{243\,b^5\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}\right)\,{\left(-\frac{a^5\,1{}\mathrm{i}+5\,a^4\,b-a^3\,b^2\,10{}\mathrm{i}-10\,a^2\,b^3+a\,b^4\,5{}\mathrm{i}+b^5}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{\left(\frac{\left(1944\,a\,b^4\,\left(a^2+b^2\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{2/3}+\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}+\frac{1944\,a\,b^5\,\left(3\,a^6-7\,a^4\,b^2-7\,a^2\,b^4+3\,b^6\right)}{d^3}\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}+\frac{243\,b^5\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}\right)\,{\left(\frac{a^5\,1{}\mathrm{i}-5\,a^4\,b-a^3\,b^2\,10{}\mathrm{i}+10\,a^2\,b^3+a\,b^4\,5{}\mathrm{i}-b^5}{8\,d^3}\right)}^{1/3}-\ln\left(\frac{243\,b^5\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}-\frac{1944\,a\,b^5\,\left(3\,a^6-7\,a^4\,b^2-7\,a^2\,b^4+3\,b^6\right)}{d^3}\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{a^5\,1{}\mathrm{i}-5\,a^4\,b-a^3\,b^2\,10{}\mathrm{i}+10\,a^2\,b^3+a\,b^4\,5{}\mathrm{i}-b^5}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{243\,b^5\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-1944\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}+\frac{1944\,a\,b^5\,\left(3\,a^6-7\,a^4\,b^2-7\,a^2\,b^4+3\,b^6\right)}{d^3}\right)\,{\left(\frac{{\left(a+b\,1{}\mathrm{i}\right)}^5\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{a^5\,1{}\mathrm{i}-5\,a^4\,b-a^3\,b^2\,10{}\mathrm{i}+10\,a^2\,b^3+a\,b^4\,5{}\mathrm{i}-b^5}{8\,d^3}\right)}^{1/3}-\ln\left(\frac{243\,b^5\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\right)}{2}-\frac{1944\,a\,b^5\,\left(3\,a^6-7\,a^4\,b^2-7\,a^2\,b^4+3\,b^6\right)}{d^3}\right)}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^5\,1{}\mathrm{i}+5\,a^4\,b-a^3\,b^2\,10{}\mathrm{i}-10\,a^2\,b^3+a\,b^4\,5{}\mathrm{i}+b^5}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{243\,b^5\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-1944\,a\,b^4\,{\left(-\frac{{\left(b+a\,1{}\mathrm{i}\right)}^5}{d^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\right)}{2}+\frac{1944\,a\,b^5\,\left(3\,a^6-7\,a^4\,b^2-7\,a^2\,b^4+3\,b^6\right)}{d^3}\right)}{4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^5\,1{}\mathrm{i}+5\,a^4\,b-a^3\,b^2\,10{}\mathrm{i}-10\,a^2\,b^3+a\,b^4\,5{}\mathrm{i}+b^5}{8\,d^3}\right)}^{1/3}+\frac{3\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}}{2\,d}","Not used",1,"log(((-(a*1i + b)^5/d^3)^(2/3)*(((-(a*1i + b)^5/d^3)^(1/3)*(1944*a*b^4*(-(a*1i + b)^5/d^3)^(2/3)*(a^2 + b^2) + (1944*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2))/2 + (1944*a*b^5*(3*a^6 + 3*b^6 - 7*a^2*b^4 - 7*a^4*b^2))/d^3))/4 + (243*b^5*(3*a^2 - b^2)*(a^2 + b^2)^4*(a + b*tan(c + d*x))^(1/3))/d^5)*(-(a*b^4*5i + 5*a^4*b + a^5*1i + b^5 - 10*a^2*b^3 - a^3*b^2*10i)/(8*d^3))^(1/3) + log(((((1944*a*b^4*(a^2 + b^2)*(((a + b*1i)^5*1i)/d^3)^(2/3) + (1944*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2)*(((a + b*1i)^5*1i)/d^3)^(1/3))/2 + (1944*a*b^5*(3*a^6 + 3*b^6 - 7*a^2*b^4 - 7*a^4*b^2))/d^3)*(((a + b*1i)^5*1i)/d^3)^(2/3))/4 + (243*b^5*(3*a^2 - b^2)*(a^2 + b^2)^4*(a + b*tan(c + d*x))^(1/3))/d^5)*((a*b^4*5i - 5*a^4*b + a^5*1i - b^5 + 10*a^2*b^3 - a^3*b^2*10i)/(8*d^3))^(1/3) - log((243*b^5*(3*a^2 - b^2)*(a^2 + b^2)^4*(a + b*tan(c + d*x))^(1/3))/d^5 - (((3^(1/2)*1i)/2 - 1/2)*((((3^(1/2)*1i)/2 + 1/2)*((1944*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*(((a + b*1i)^5*1i)/d^3)^(2/3))*(((a + b*1i)^5*1i)/d^3)^(1/3))/2 - (1944*a*b^5*(3*a^6 + 3*b^6 - 7*a^2*b^4 - 7*a^4*b^2))/d^3)*(((a + b*1i)^5*1i)/d^3)^(2/3))/4)*((3^(1/2)*1i)/2 + 1/2)*((a*b^4*5i - 5*a^4*b + a^5*1i - b^5 + 10*a^2*b^3 - a^3*b^2*10i)/(8*d^3))^(1/3) + log((243*b^5*(3*a^2 - b^2)*(a^2 + b^2)^4*(a + b*tan(c + d*x))^(1/3))/d^5 - (((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*((1944*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 1944*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*(((a + b*1i)^5*1i)/d^3)^(2/3))*(((a + b*1i)^5*1i)/d^3)^(1/3))/2 + (1944*a*b^5*(3*a^6 + 3*b^6 - 7*a^2*b^4 - 7*a^4*b^2))/d^3)*(((a + b*1i)^5*1i)/d^3)^(2/3))/4)*((3^(1/2)*1i)/2 - 1/2)*((a*b^4*5i - 5*a^4*b + a^5*1i - b^5 + 10*a^2*b^3 - a^3*b^2*10i)/(8*d^3))^(1/3) - log((243*b^5*(3*a^2 - b^2)*(a^2 + b^2)^4*(a + b*tan(c + d*x))^(1/3))/d^5 - ((-(a*1i + b)^5/d^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*(((-(a*1i + b)^5/d^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*((1944*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*(-(a*1i + b)^5/d^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)))/2 - (1944*a*b^5*(3*a^6 + 3*b^6 - 7*a^2*b^4 - 7*a^4*b^2))/d^3))/4)*((3^(1/2)*1i)/2 + 1/2)*(-(a*b^4*5i + 5*a^4*b + a^5*1i + b^5 - 10*a^2*b^3 - a^3*b^2*10i)/(8*d^3))^(1/3) + log((243*b^5*(3*a^2 - b^2)*(a^2 + b^2)^4*(a + b*tan(c + d*x))^(1/3))/d^5 - ((-(a*1i + b)^5/d^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*(((-(a*1i + b)^5/d^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*((1944*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 1944*a*b^4*(-(a*1i + b)^5/d^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)))/2 + (1944*a*b^5*(3*a^6 + 3*b^6 - 7*a^2*b^4 - 7*a^4*b^2))/d^3))/4)*((3^(1/2)*1i)/2 - 1/2)*(-(a*b^4*5i + 5*a^4*b + a^5*1i + b^5 - 10*a^2*b^3 - a^3*b^2*10i)/(8*d^3))^(1/3) + (3*b*(a + b*tan(c + d*x))^(2/3))/(2*d)","B"
689,1,924,327,7.495781,"\text{Not used}","int((a + b*tan(c + d*x))^(4/3),x)","\ln\left(a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}-b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}+d\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,{\left(-\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}-b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+d\,{\left(\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\right)\,{\left(\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(-\frac{486\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^4}+\frac{b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^2\,{\left(\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(a^5+a^4\,b\,1{}\mathrm{i}-6\,a^3\,b^2-a^2\,b^3\,6{}\mathrm{i}+a\,b^4+b^5\,1{}\mathrm{i}\right)\,486{}\mathrm{i}}{d^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}-\ln\left(\frac{486\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^4}+\frac{b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^2\,{\left(\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(a^5+a^4\,b\,1{}\mathrm{i}-6\,a^3\,b^2-a^2\,b^3\,6{}\mathrm{i}+a\,b^4+b^5\,1{}\mathrm{i}\right)\,486{}\mathrm{i}}{d^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\frac{3\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}+\ln\left(-\frac{486\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^4}-\frac{486\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(a^5\,1{}\mathrm{i}+a^4\,b-a^3\,b^2\,6{}\mathrm{i}-6\,a^2\,b^3+a\,b^4\,1{}\mathrm{i}+b^5\right)}{d^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}-\ln\left(\frac{486\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^4}-\frac{486\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^4\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(a^5\,1{}\mathrm{i}+a^4\,b-a^3\,b^2\,6{}\mathrm{i}-6\,a^2\,b^3+a\,b^4\,1{}\mathrm{i}+b^5\right)}{d^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}","Not used",1,"log(a*(a + b*tan(c + d*x))^(1/3) - b*(a + b*tan(c + d*x))^(1/3)*1i + d*(-((a - b*1i)^4*1i)/d^3)^(1/3)*1i)*(-(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(8*d^3))^(1/3) + log(a*(a + b*tan(c + d*x))^(1/3)*1i - b*(a + b*tan(c + d*x))^(1/3) + d*(((a*1i - b)^4*1i)/d^3)^(1/3))*((4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(8*d^3))^(1/3) + log((b^4*((3^(1/2)*1i)/2 - 1/2)*(a - b*1i)^2*(((a*1i - b)^4*1i)/d^3)^(1/3)*(a*b^4 + a^4*b*1i + a^5 + b^5*1i - a^2*b^3*6i - 6*a^3*b^2)*486i)/d^3 - (486*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3)*(a^4 + b^4 - 6*a^2*b^2))/d^4)*((3^(1/2)*1i)/2 - 1/2)*((4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(8*d^3))^(1/3) - log((486*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3)*(a^4 + b^4 - 6*a^2*b^2))/d^4 + (b^4*((3^(1/2)*1i)/2 + 1/2)*(a - b*1i)^2*(((a*1i - b)^4*1i)/d^3)^(1/3)*(a*b^4 + a^4*b*1i + a^5 + b^5*1i - a^2*b^3*6i - 6*a^3*b^2)*486i)/d^3)*((3^(1/2)*1i)/2 + 1/2)*((4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(8*d^3))^(1/3) + (3*b*(a + b*tan(c + d*x))^(1/3))/d + log(- (486*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3)*(a^4 + b^4 - 6*a^2*b^2))/d^4 - (486*b^4*((3^(1/2)*1i)/2 - 1/2)*(a + b*1i)^2*(-((a - b*1i)^4*1i)/d^3)^(1/3)*(a*b^4*1i + a^4*b + a^5*1i + b^5 - 6*a^2*b^3 - a^3*b^2*6i))/d^3)*((3^(1/2)*1i)/2 - 1/2)*(-(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(8*d^3))^(1/3) - log((486*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3)*(a^4 + b^4 - 6*a^2*b^2))/d^4 - (486*b^4*((3^(1/2)*1i)/2 + 1/2)*(a + b*1i)^2*(-((a - b*1i)^4*1i)/d^3)^(1/3)*(a*b^4*1i + a^4*b + a^5*1i + b^5 - 6*a^2*b^3 - a^3*b^2*6i))/d^3)*((3^(1/2)*1i)/2 + 1/2)*(-(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)/(8*d^3))^(1/3)","B"
690,1,1229,415,8.218149,"\text{Not used}","int((a + b*tan(c + d*x))^(2/3),x)","\ln\left(\frac{\left(\frac{\left(\frac{1944\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,\left(a^2+b^2\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}+\frac{972\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}+\frac{486\,a\,b^5\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}\right)\,{\left(-\frac{a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{\left(\frac{\left(1944\,a\,b^4\,\left(a^2+b^2\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}+\frac{1944\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}+\frac{972\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}+\frac{486\,a\,b^5\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}\right)\,{\left(-\frac{-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}-\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}-\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}+\frac{486\,a\,b^5\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{486\,a\,b^5\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}+\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-1944\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}\right)\,{\left(-\frac{{\left(a-b\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}-\ln\left(\frac{486\,a\,b^5\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1944\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}-\frac{972\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{486\,a\,b^5\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\left(\frac{1944\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-1944\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}+\frac{972\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(-\frac{{\left(-b+a\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{d^3}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}","Not used",1,"log((((((1944*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*(a^2 + b^2)*(-((a - b*1i)^2*1i)/d^3)^(2/3))*(-((a - b*1i)^2*1i)/d^3)^(1/3))/2 + (972*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(-((a - b*1i)^2*1i)/d^3)^(2/3))/4 + (486*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*(-(2*a*b + a^2*1i - b^2*1i)/(8*d^3))^(1/3) + log(((((1944*a*b^4*(a^2 + b^2)*(-((a*1i - b)^2*1i)/d^3)^(2/3) + (1944*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2)*(-((a*1i - b)^2*1i)/d^3)^(1/3))/2 + (972*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(-((a*1i - b)^2*1i)/d^3)^(2/3))/4 + (486*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*(-(2*a*b - a^2*1i + b^2*1i)/(8*d^3))^(1/3) - log((((3^(1/2)*1i)/2 - 1/2)*((972*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3 - (((3^(1/2)*1i)/2 + 1/2)*((1944*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*(-((a - b*1i)^2*1i)/d^3)^(2/3))*(-((a - b*1i)^2*1i)/d^3)^(1/3))/2)*(-((a - b*1i)^2*1i)/d^3)^(2/3))/4 + (486*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*((3^(1/2)*1i)/2 + 1/2)*(-(2*a*b + a^2*1i - b^2*1i)/(8*d^3))^(1/3) + log((486*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5 - (((3^(1/2)*1i)/2 + 1/2)*((972*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3 + (((3^(1/2)*1i)/2 - 1/2)*((1944*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 1944*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*(-((a - b*1i)^2*1i)/d^3)^(2/3))*(-((a - b*1i)^2*1i)/d^3)^(1/3))/2)*(-((a - b*1i)^2*1i)/d^3)^(2/3))/4)*((3^(1/2)*1i)/2 - 1/2)*(-(2*a*b + a^2*1i - b^2*1i)/(8*d^3))^(1/3) - log((486*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5 - (((3^(1/2)*1i)/2 - 1/2)*((((1944*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*(-((a*1i - b)^2*1i)/d^3)^(2/3))*((3^(1/2)*1i)/2 + 1/2)*(-((a*1i - b)^2*1i)/d^3)^(1/3))/2 - (972*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(-((a*1i - b)^2*1i)/d^3)^(2/3))/4)*((3^(1/2)*1i)/2 + 1/2)*(-(2*a*b - a^2*1i + b^2*1i)/(8*d^3))^(1/3) + log((486*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5 - (((3^(1/2)*1i)/2 + 1/2)*((((1944*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 1944*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*(-((a*1i - b)^2*1i)/d^3)^(2/3))*((3^(1/2)*1i)/2 - 1/2)*(-((a*1i - b)^2*1i)/d^3)^(1/3))/2 + (972*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(-((a*1i - b)^2*1i)/d^3)^(2/3))/4)*((3^(1/2)*1i)/2 - 1/2)*(-(2*a*b - a^2*1i + b^2*1i)/(8*d^3))^(1/3)","B"
691,1,863,415,7.009440,"\text{Not used}","int((a + b*tan(c + d*x))^(1/3),x)","\ln\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+d\,{\left(-\frac{b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(-a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}+d^4\,{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{4/3}+2\,b\,d\,{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\right)\,{\left(\frac{-b+a\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}-\ln\left(\frac{486\,\left(b^8-a^4\,b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}-\frac{\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\,\left(\frac{3888\,b^5\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}-3888\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(a^2+b^2\right)\right)}{4}+\frac{1944\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{486\,\left(b^8-a^4\,b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}-\frac{\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\,\left(\frac{3888\,b^5\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}+3888\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(a^2+b^2\right)\right)}{4}-\frac{1944\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b+a\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}-\ln\left(-\frac{486\,\left(b^8-a^4\,b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}+\frac{{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,b^5\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}-3888\,a\,b^4\,{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\right)}{4}+\frac{1944\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{-b+a\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}+\ln\left(\frac{486\,\left(b^8-a^4\,b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}-\frac{{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3888\,b^5\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}+3888\,a\,b^4\,{\left(\frac{-b+a\,1{}\mathrm{i}}{d^3}\right)}^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\right)}{4}-\frac{1944\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{-b+a\,1{}\mathrm{i}}{8\,d^3}\right)}^{1/3}","Not used",1,"log((a + b*tan(c + d*x))^(1/3) + d*(-(a*1i + b)/d^3)^(1/3)*1i)*(-(a*1i + b)/(8*d^3))^(1/3) + log(b*(a + b*tan(c + d*x))^(1/3)*1i - a*(a + b*tan(c + d*x))^(1/3) + d^4*((a*1i - b)/d^3)^(4/3) + 2*b*d*((a*1i - b)/d^3)^(1/3))*((a*1i - b)/(8*d^3))^(1/3) - log((486*(b^8 - a^4*b^4)*(a + b*tan(c + d*x))^(1/3))/d^4 - (((((3^(1/2)*1i)/2 - 1/2)*(-(a*1i + b)/d^3)^(2/3)*((3888*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d - 3888*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(-(a*1i + b)/d^3)^(1/3)*(a^2 + b^2)))/4 + (1944*a*b^5*(a^2 + b^2))/d^3)*((3^(1/2)*1i)/2 + 1/2)*(-(a*1i + b)/d^3)^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2)*(-(a*1i + b)/(8*d^3))^(1/3) + log((486*(b^8 - a^4*b^4)*(a + b*tan(c + d*x))^(1/3))/d^4 - (((((3^(1/2)*1i)/2 + 1/2)*(-(a*1i + b)/d^3)^(2/3)*((3888*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d + 3888*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(-(a*1i + b)/d^3)^(1/3)*(a^2 + b^2)))/4 - (1944*a*b^5*(a^2 + b^2))/d^3)*((3^(1/2)*1i)/2 - 1/2)*(-(a*1i + b)/d^3)^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2)*(-(a*1i + b)/(8*d^3))^(1/3) - log((((a*1i - b)/d^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*((((a*1i - b)/d^3)^(2/3)*((3^(1/2)*1i)/2 - 1/2)*((3888*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d - 3888*a*b^4*((a*1i - b)/d^3)^(1/3)*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)))/4 + (1944*a*b^5*(a^2 + b^2))/d^3))/2 - (486*(b^8 - a^4*b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 + 1/2)*((a*1i - b)/(8*d^3))^(1/3) + log((486*(b^8 - a^4*b^4)*(a + b*tan(c + d*x))^(1/3))/d^4 - (((a*1i - b)/d^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*((((a*1i - b)/d^3)^(2/3)*((3^(1/2)*1i)/2 + 1/2)*((3888*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d + 3888*a*b^4*((a*1i - b)/d^3)^(1/3)*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)))/4 - (1944*a*b^5*(a^2 + b^2))/d^3))/2)*((3^(1/2)*1i)/2 - 1/2)*((a*1i - b)/(8*d^3))^(1/3)","B"
692,1,817,415,7.238557,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(1/3),x)","\frac{\ln\left(\frac{243\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}+\frac{\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,{\left(\frac{1}{d^3\,\left(b+a\,1{}\mathrm{i}\right)}\right)}^{2/3}\,\left(a^2+b^2\right)}{8\,d^3\,\left(b+a\,1{}\mathrm{i}\right)}\right)\,{\left(\frac{1}{b\,d^3+a\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{2}+\ln\left(\frac{243\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}+\frac{\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,\left(a^2+b^2\right)\,{\left(\frac{b+a\,1{}\mathrm{i}}{d^3\,\left(a^2+b^2\right)}\right)}^{2/3}\right)\,\left(b+a\,1{}\mathrm{i}\right)}{8\,d^3\,\left(a^2+b^2\right)}\right)\,{\left(\frac{b+a\,1{}\mathrm{i}}{8\,a^2\,d^3+8\,b^2\,d^3}\right)}^{1/3}+\frac{\ln\left(\frac{243\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}+\frac{\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+486\,a\,b^4\,{\left(\frac{1}{d^3\,\left(b+a\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^2+b^2\right)\right)\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^3}{64\,d^3\,\left(b+a\,1{}\mathrm{i}\right)}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{b\,d^3+a\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{4}-\frac{\ln\left(\frac{243\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+486\,a\,b^4\,{\left(\frac{1}{d^3\,\left(b+a\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^2+b^2\right)\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^3}{64\,d^3\,\left(b+a\,1{}\mathrm{i}\right)}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{b\,d^3+a\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{4}+\frac{\ln\left(\frac{243\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}+\frac{\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^2+b^2\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,\left(a+b\,1{}\mathrm{i}\right)}\right)}^{2/3}\right)\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{64\,d^3\,\left(a+b\,1{}\mathrm{i}\right)}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a\,d^3+b\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{243\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(\frac{1944\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}+1944\,a\,b^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(a^2+b^2\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,\left(a+b\,1{}\mathrm{i}\right)}\right)}^{2/3}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{64\,d^3\,\left(a+b\,1{}\mathrm{i}\right)}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a\,d^3+b\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}","Not used",1,"(log((243*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 + ((1944*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*(1/(d^3*(a*1i + b)))^(2/3)*(a^2 + b^2))/(8*d^3*(a*1i + b)))*(1/(a*d^3*1i + b*d^3))^(1/3))/2 + log((243*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 + (((1944*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*(a^2 + b^2)*((a*1i + b)/(d^3*(a^2 + b^2)))^(2/3))*(a*1i + b))/(8*d^3*(a^2 + b^2)))*((a*1i + b)/(8*a^2*d^3 + 8*b^2*d^3))^(1/3) + (log((243*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 + (((1944*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2 + 486*a*b^4*(1/(d^3*(a*1i + b)))^(2/3)*(3^(1/2)*1i - 1)^2*(a^2 + b^2))*(3^(1/2)*1i - 1)^3)/(64*d^3*(a*1i + b)))*(3^(1/2)*1i - 1)*(1/(a*d^3*1i + b*d^3))^(1/3))/4 - (log((243*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 - (((1944*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2 + 486*a*b^4*(1/(d^3*(a*1i + b)))^(2/3)*(3^(1/2)*1i + 1)^2*(a^2 + b^2))*(3^(1/2)*1i + 1)^3)/(64*d^3*(a*1i + b)))*(3^(1/2)*1i + 1)*(1/(a*d^3*1i + b*d^3))^(1/3))/4 + (log((243*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 + (((1944*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*(3^(1/2)*1i - 1)^2*(a^2 + b^2)*(1i/(8*d^3*(a + b*1i)))^(2/3))*(3^(1/2)*1i - 1)^3*1i)/(64*d^3*(a + b*1i)))*(3^(1/2)*1i - 1)*(1i/(8*(a*d^3 + b*d^3*1i)))^(1/3))/2 - (log((243*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 - (((1944*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2 + 1944*a*b^4*(3^(1/2)*1i + 1)^2*(a^2 + b^2)*(1i/(8*d^3*(a + b*1i)))^(2/3))*(3^(1/2)*1i + 1)^3*1i)/(64*d^3*(a + b*1i)))*(3^(1/2)*1i + 1)*(1i/(8*(a*d^3 + b*d^3*1i)))^(1/3))/2","B"
693,1,1048,415,8.483884,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(2/3),x)","\frac{\ln\left(-\frac{486\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}+\frac{{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{4/3}\,\left(486\,a^3\,b^4\,d+a^2\,b^5\,d\,486{}\mathrm{i}-b^7\,d\,486{}\mathrm{i}-486\,a\,b^6\,d+\frac{972\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}}\right)}{d}\right)\,{\left(\frac{1}{-a^2\,d^3\,1{}\mathrm{i}+2\,a\,b\,d^3+b^2\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{2}+\ln\left(\left(\left(\frac{7776\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}+7776\,a\,b^4\,\left(a^2+b^2\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{2/3}-\frac{972\,b^5}{d^3}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}-\frac{486\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(-a^2\,d^3+a\,b\,d^3\,2{}\mathrm{i}+b^2\,d^3\right)}\right)}^{1/3}+\frac{\ln\left(\frac{486\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{972\,b^5}{d^3}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{7776\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}+1944\,a\,b^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{-a^2\,d^3\,1{}\mathrm{i}+2\,a\,b\,d^3+b^2\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{4}-\frac{\ln\left(\frac{486\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{972\,b^5}{d^3}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{7776\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}-1944\,a\,b^4\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(-\frac{1{}\mathrm{i}}{d^3\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{-a^2\,d^3\,1{}\mathrm{i}+2\,a\,b\,d^3+b^2\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{4}+\frac{\ln\left(\frac{486\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{972\,b^5}{d^3}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{7776\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}+3888\,a\,b^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^2+b^2\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{2/3}}{4}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(-a^2\,d^3+a\,b\,d^3\,2{}\mathrm{i}+b^2\,d^3\right)}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{486\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{972\,b^5}{d^3}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{7776\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}-3888\,a\,b^4\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^2+b^2\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{2/3}}{4}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,d^3\,{\left(b+a\,1{}\mathrm{i}\right)}^2}\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(-a^2\,d^3+a\,b\,d^3\,2{}\mathrm{i}+b^2\,d^3\right)}\right)}^{1/3}}{2}","Not used",1,"(log(((-1i/(d^3*(a*1i - b)^2))^(4/3)*(a^2*b^5*d*486i - b^7*d*486i + 486*a^3*b^4*d - 486*a*b^6*d + (972*a*b^5*(a + b*tan(c + d*x))^(1/3))/(-1i/(d^3*(a*1i - b)^2))^(1/3)))/d - (486*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*(1/(b^2*d^3*1i - a^2*d^3*1i + 2*a*b*d^3))^(1/3))/2 + log((((7776*a*b^5*(a + b*tan(c + d*x))^(1/3))/d + 7776*a*b^4*(a^2 + b^2)*(1i/(8*d^3*(a*1i + b)^2))^(1/3))*(1i/(8*d^3*(a*1i + b)^2))^(2/3) - (972*b^5)/d^3)*(1i/(8*d^3*(a*1i + b)^2))^(1/3) - (486*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*(1i/(8*(b^2*d^3 - a^2*d^3 + a*b*d^3*2i)))^(1/3) + (log((486*b^4*(a + b*tan(c + d*x))^(1/3))/d^4 + ((3^(1/2)*1i - 1)*((972*b^5)/d^3 - ((3^(1/2)*1i - 1)^2*((7776*a*b^5*(a + b*tan(c + d*x))^(1/3))/d + 1944*a*b^4*(3^(1/2)*1i - 1)*(a^2 + b^2)*(-1i/(d^3*(a*1i - b)^2))^(1/3))*(-1i/(d^3*(a*1i - b)^2))^(2/3))/16)*(-1i/(d^3*(a*1i - b)^2))^(1/3))/4)*(3^(1/2)*1i - 1)*(1/(b^2*d^3*1i - a^2*d^3*1i + 2*a*b*d^3))^(1/3))/4 - (log((486*b^4*(a + b*tan(c + d*x))^(1/3))/d^4 - ((3^(1/2)*1i + 1)*((972*b^5)/d^3 - ((3^(1/2)*1i + 1)^2*((7776*a*b^5*(a + b*tan(c + d*x))^(1/3))/d - 1944*a*b^4*(3^(1/2)*1i + 1)*(a^2 + b^2)*(-1i/(d^3*(a*1i - b)^2))^(1/3))*(-1i/(d^3*(a*1i - b)^2))^(2/3))/16)*(-1i/(d^3*(a*1i - b)^2))^(1/3))/4)*(3^(1/2)*1i + 1)*(1/(b^2*d^3*1i - a^2*d^3*1i + 2*a*b*d^3))^(1/3))/4 + (log((486*b^4*(a + b*tan(c + d*x))^(1/3))/d^4 + ((3^(1/2)*1i - 1)*((972*b^5)/d^3 - ((3^(1/2)*1i - 1)^2*((7776*a*b^5*(a + b*tan(c + d*x))^(1/3))/d + 3888*a*b^4*(3^(1/2)*1i - 1)*(a^2 + b^2)*(1i/(8*d^3*(a*1i + b)^2))^(1/3))*(1i/(8*d^3*(a*1i + b)^2))^(2/3))/4)*(1i/(8*d^3*(a*1i + b)^2))^(1/3))/2)*(3^(1/2)*1i - 1)*(1i/(8*(b^2*d^3 - a^2*d^3 + a*b*d^3*2i)))^(1/3))/2 - (log((486*b^4*(a + b*tan(c + d*x))^(1/3))/d^4 - ((3^(1/2)*1i + 1)*((972*b^5)/d^3 - ((3^(1/2)*1i + 1)^2*((7776*a*b^5*(a + b*tan(c + d*x))^(1/3))/d - 3888*a*b^4*(3^(1/2)*1i + 1)*(a^2 + b^2)*(1i/(8*d^3*(a*1i + b)^2))^(1/3))*(1i/(8*d^3*(a*1i + b)^2))^(2/3))/4)*(1i/(8*d^3*(a*1i + b)^2))^(1/3))/2)*(3^(1/2)*1i + 1)*(1i/(8*(b^2*d^3 - a^2*d^3 + a*b*d^3*2i)))^(1/3))/2","B"
694,1,3130,336,6.594404,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(4/3),x)","\frac{\ln\left(\frac{\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-1944\,a^{18}\,b^4\,d^7-1944\,a^{16}\,b^6\,d^7+38880\,a^{14}\,b^8\,d^7+163296\,a^{12}\,b^{10}\,d^7+299376\,a^{10}\,b^{12}\,d^7+299376\,a^8\,b^{14}\,d^7+163296\,a^6\,b^{16}\,d^7+38880\,a^4\,b^{18}\,d^7-1944\,a^2\,b^{20}\,d^7-1944\,b^{22}\,d^7\right)-\frac{{\left(-\frac{1}{a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}}\right)}^{2/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{4}\right)\,{\left(-\frac{1}{a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{2}-972\,b^{21}\,d^6-3888\,a^2\,b^{19}\,d^6+27216\,a^6\,b^{15}\,d^6+68040\,a^8\,b^{13}\,d^6+81648\,a^{10}\,b^{11}\,d^6+54432\,a^{12}\,b^9\,d^6+19440\,a^{14}\,b^7\,d^6+2916\,a^{16}\,b^5\,d^6\right)\,{\left(-\frac{1}{a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}}\right)}^{1/3}}{2}+\ln\left(\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-1944\,a^{18}\,b^4\,d^7-1944\,a^{16}\,b^6\,d^7+38880\,a^{14}\,b^8\,d^7+163296\,a^{12}\,b^{10}\,d^7+299376\,a^{10}\,b^{12}\,d^7+299376\,a^8\,b^{14}\,d^7+163296\,a^6\,b^{16}\,d^7+38880\,a^4\,b^{18}\,d^7-1944\,a^2\,b^{20}\,d^7-1944\,b^{22}\,d^7\right)-{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{2/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{1/3}-972\,b^{21}\,d^6-3888\,a^2\,b^{19}\,d^6+27216\,a^6\,b^{15}\,d^6+68040\,a^8\,b^{13}\,d^6+81648\,a^{10}\,b^{11}\,d^6+54432\,a^{12}\,b^9\,d^6+19440\,a^{14}\,b^7\,d^6+2916\,a^{16}\,b^5\,d^6\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{1/3}+\frac{\ln\left(27216\,a^6\,b^{15}\,d^6+\frac{{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-1944\,a^{18}\,b^4\,d^7-1944\,a^{16}\,b^6\,d^7+38880\,a^{14}\,b^8\,d^7+163296\,a^{12}\,b^{10}\,d^7+299376\,a^{10}\,b^{12}\,d^7+299376\,a^8\,b^{14}\,d^7+163296\,a^6\,b^{16}\,d^7+38880\,a^4\,b^{18}\,d^7-1944\,a^2\,b^{20}\,d^7-1944\,b^{22}\,d^7\right)-\frac{{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{4}\right)}{2}-3888\,a^2\,b^{19}\,d^6-972\,b^{21}\,d^6+68040\,a^8\,b^{13}\,d^6+81648\,a^{10}\,b^{11}\,d^6+54432\,a^{12}\,b^9\,d^6+19440\,a^{14}\,b^7\,d^6+2916\,a^{16}\,b^5\,d^6\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{\ln\left(27216\,a^6\,b^{15}\,d^6-\frac{{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-1944\,a^{18}\,b^4\,d^7-1944\,a^{16}\,b^6\,d^7+38880\,a^{14}\,b^8\,d^7+163296\,a^{12}\,b^{10}\,d^7+299376\,a^{10}\,b^{12}\,d^7+299376\,a^8\,b^{14}\,d^7+163296\,a^6\,b^{16}\,d^7+38880\,a^4\,b^{18}\,d^7-1944\,a^2\,b^{20}\,d^7-1944\,b^{22}\,d^7\right)-\frac{{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{4}\right)}{2}-3888\,a^2\,b^{19}\,d^6-972\,b^{21}\,d^6+68040\,a^8\,b^{13}\,d^6+81648\,a^{10}\,b^{11}\,d^6+54432\,a^{12}\,b^9\,d^6+19440\,a^{14}\,b^7\,d^6+2916\,a^{16}\,b^5\,d^6\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,\left(a^4\,d^3-a^3\,b\,d^3\,4{}\mathrm{i}-6\,a^2\,b^2\,d^3+a\,b^3\,d^3\,4{}\mathrm{i}+b^4\,d^3\right)}\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}+\frac{\ln\left(27216\,a^6\,b^{15}\,d^6+\frac{{\left(-\frac{1}{8\,\left(a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-1944\,a^{18}\,b^4\,d^7-1944\,a^{16}\,b^6\,d^7+38880\,a^{14}\,b^8\,d^7+163296\,a^{12}\,b^{10}\,d^7+299376\,a^{10}\,b^{12}\,d^7+299376\,a^8\,b^{14}\,d^7+163296\,a^6\,b^{16}\,d^7+38880\,a^4\,b^{18}\,d^7-1944\,a^2\,b^{20}\,d^7-1944\,b^{22}\,d^7\right)-\frac{{\left(-\frac{1}{8\,\left(a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{4}\right)}{2}-3888\,a^2\,b^{19}\,d^6-972\,b^{21}\,d^6+68040\,a^8\,b^{13}\,d^6+81648\,a^{10}\,b^{11}\,d^6+54432\,a^{12}\,b^9\,d^6+19440\,a^{14}\,b^7\,d^6+2916\,a^{16}\,b^5\,d^6\right)\,{\left(-\frac{1}{8\,\left(a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{\ln\left(27216\,a^6\,b^{15}\,d^6-\frac{{\left(-\frac{1}{8\,\left(a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-1944\,a^{18}\,b^4\,d^7-1944\,a^{16}\,b^6\,d^7+38880\,a^{14}\,b^8\,d^7+163296\,a^{12}\,b^{10}\,d^7+299376\,a^{10}\,b^{12}\,d^7+299376\,a^8\,b^{14}\,d^7+163296\,a^6\,b^{16}\,d^7+38880\,a^4\,b^{18}\,d^7-1944\,a^2\,b^{20}\,d^7-1944\,b^{22}\,d^7\right)-\frac{{\left(-\frac{1}{8\,\left(a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{4}\right)}{2}-3888\,a^2\,b^{19}\,d^6-972\,b^{21}\,d^6+68040\,a^8\,b^{13}\,d^6+81648\,a^{10}\,b^{11}\,d^6+54432\,a^{12}\,b^9\,d^6+19440\,a^{14}\,b^7\,d^6+2916\,a^{16}\,b^5\,d^6\right)\,{\left(-\frac{1}{8\,\left(a^4\,d^3\,1{}\mathrm{i}-4\,a^3\,b\,d^3-a^2\,b^2\,d^3\,6{}\mathrm{i}+4\,a\,b^3\,d^3+b^4\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{3\,b}{d\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/3)*(38880*a^4*b^18*d^7 - 1944*a^2*b^20*d^7 - 1944*b^22*d^7 + 163296*a^6*b^16*d^7 + 299376*a^8*b^14*d^7 + 299376*a^10*b^12*d^7 + 163296*a^12*b^10*d^7 + 38880*a^14*b^8*d^7 - 1944*a^16*b^6*d^7 - 1944*a^18*b^4*d^7) - ((-1/(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i))^(2/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/4)*(-1/(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i))^(1/3))/2 - 972*b^21*d^6 - 3888*a^2*b^19*d^6 + 27216*a^6*b^15*d^6 + 68040*a^8*b^13*d^6 + 81648*a^10*b^11*d^6 + 54432*a^12*b^9*d^6 + 19440*a^14*b^7*d^6 + 2916*a^16*b^5*d^6)*(-1/(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i))^(1/3))/2 + log(((a + b*tan(c + d*x))^(1/3)*(38880*a^4*b^18*d^7 - 1944*a^2*b^20*d^7 - 1944*b^22*d^7 + 163296*a^6*b^16*d^7 + 299376*a^8*b^14*d^7 + 299376*a^10*b^12*d^7 + 163296*a^12*b^10*d^7 + 38880*a^14*b^8*d^7 - 1944*a^16*b^6*d^7 - 1944*a^18*b^4*d^7) - (-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(2/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))*(-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(1/3) - 972*b^21*d^6 - 3888*a^2*b^19*d^6 + 27216*a^6*b^15*d^6 + 68040*a^8*b^13*d^6 + 81648*a^10*b^11*d^6 + 54432*a^12*b^9*d^6 + 19440*a^14*b^7*d^6 + 2916*a^16*b^5*d^6)*(-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(1/3) + (log(((-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(1/3)*(3^(1/2)*1i - 1)*((a + b*tan(c + d*x))^(1/3)*(38880*a^4*b^18*d^7 - 1944*a^2*b^20*d^7 - 1944*b^22*d^7 + 163296*a^6*b^16*d^7 + 299376*a^8*b^14*d^7 + 299376*a^10*b^12*d^7 + 163296*a^12*b^10*d^7 + 38880*a^14*b^8*d^7 - 1944*a^16*b^6*d^7 - 1944*a^18*b^4*d^7) - ((-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(2/3)*(3^(1/2)*1i - 1)^2*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/4))/2 - 972*b^21*d^6 - 3888*a^2*b^19*d^6 + 27216*a^6*b^15*d^6 + 68040*a^8*b^13*d^6 + 81648*a^10*b^11*d^6 + 54432*a^12*b^9*d^6 + 19440*a^14*b^7*d^6 + 2916*a^16*b^5*d^6)*(-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(1/3)*(3^(1/2)*1i - 1))/2 - (log(27216*a^6*b^15*d^6 - ((-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(1/3)*(3^(1/2)*1i + 1)*((a + b*tan(c + d*x))^(1/3)*(38880*a^4*b^18*d^7 - 1944*a^2*b^20*d^7 - 1944*b^22*d^7 + 163296*a^6*b^16*d^7 + 299376*a^8*b^14*d^7 + 299376*a^10*b^12*d^7 + 163296*a^12*b^10*d^7 + 38880*a^14*b^8*d^7 - 1944*a^16*b^6*d^7 - 1944*a^18*b^4*d^7) - ((-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(2/3)*(3^(1/2)*1i + 1)^2*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/4))/2 - 3888*a^2*b^19*d^6 - 972*b^21*d^6 + 68040*a^8*b^13*d^6 + 81648*a^10*b^11*d^6 + 54432*a^12*b^9*d^6 + 19440*a^14*b^7*d^6 + 2916*a^16*b^5*d^6)*(-1i/(8*(a^4*d^3 + b^4*d^3 + a*b^3*d^3*4i - a^3*b*d^3*4i - 6*a^2*b^2*d^3)))^(1/3)*(3^(1/2)*1i + 1))/2 + (log(((-1/(8*(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i)))^(1/3)*(3^(1/2)*1i - 1)*((a + b*tan(c + d*x))^(1/3)*(38880*a^4*b^18*d^7 - 1944*a^2*b^20*d^7 - 1944*b^22*d^7 + 163296*a^6*b^16*d^7 + 299376*a^8*b^14*d^7 + 299376*a^10*b^12*d^7 + 163296*a^12*b^10*d^7 + 38880*a^14*b^8*d^7 - 1944*a^16*b^6*d^7 - 1944*a^18*b^4*d^7) - ((-1/(8*(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i)))^(2/3)*(3^(1/2)*1i - 1)^2*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/4))/2 - 972*b^21*d^6 - 3888*a^2*b^19*d^6 + 27216*a^6*b^15*d^6 + 68040*a^8*b^13*d^6 + 81648*a^10*b^11*d^6 + 54432*a^12*b^9*d^6 + 19440*a^14*b^7*d^6 + 2916*a^16*b^5*d^6)*(-1/(8*(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i)))^(1/3)*(3^(1/2)*1i - 1))/2 - (log(27216*a^6*b^15*d^6 - ((-1/(8*(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i)))^(1/3)*(3^(1/2)*1i + 1)*((a + b*tan(c + d*x))^(1/3)*(38880*a^4*b^18*d^7 - 1944*a^2*b^20*d^7 - 1944*b^22*d^7 + 163296*a^6*b^16*d^7 + 299376*a^8*b^14*d^7 + 299376*a^10*b^12*d^7 + 163296*a^12*b^10*d^7 + 38880*a^14*b^8*d^7 - 1944*a^16*b^6*d^7 - 1944*a^18*b^4*d^7) - ((-1/(8*(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i)))^(2/3)*(3^(1/2)*1i + 1)^2*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/4))/2 - 3888*a^2*b^19*d^6 - 972*b^21*d^6 + 68040*a^8*b^13*d^6 + 81648*a^10*b^11*d^6 + 54432*a^12*b^9*d^6 + 19440*a^14*b^7*d^6 + 2916*a^16*b^5*d^6)*(-1/(8*(a^4*d^3*1i + b^4*d^3*1i + 4*a*b^3*d^3 - 4*a^3*b*d^3 - a^2*b^2*d^3*6i)))^(1/3)*(3^(1/2)*1i + 1))/2 - (3*b)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))","B"
695,1,4348,338,6.437027,"\text{Not used}","int(1/(a + b*tan(c + d*x))^(5/3),x)","\frac{\ln\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-486\,a^{14}\,b^4\,d^5-2430\,a^{12}\,b^6\,d^5-4374\,a^{10}\,b^8\,d^5-2430\,a^8\,b^{10}\,d^5+2430\,a^6\,b^{12}\,d^5+4374\,a^4\,b^{14}\,d^5+2430\,a^2\,b^{16}\,d^5+486\,b^{18}\,d^5\right)+\frac{{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}\,\left(\frac{\left(\frac{{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{2}+{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(11664\,a^{18}\,b^5\,d^8+89424\,a^{16}\,b^7\,d^8+295488\,a^{14}\,b^9\,d^8+544320\,a^{12}\,b^{11}\,d^8+598752\,a^{10}\,b^{13}\,d^8+381024\,a^8\,b^{15}\,d^8+108864\,a^6\,b^{17}\,d^8-15552\,a^4\,b^{19}\,d^8-19440\,a^2\,b^{21}\,d^8-3888\,b^{23}\,d^8\right)\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{2/3}}{4}+3888\,a\,b^{19}\,d^6+19440\,a^3\,b^{17}\,d^6+34992\,a^5\,b^{15}\,d^6+19440\,a^7\,b^{13}\,d^6-19440\,a^9\,b^{11}\,d^6-34992\,a^{11}\,b^9\,d^6-19440\,a^{13}\,b^7\,d^6-3888\,a^{15}\,b^5\,d^6\right)}{2}\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}}{2}+\ln\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-486\,a^{14}\,b^4\,d^5-2430\,a^{12}\,b^6\,d^5-4374\,a^{10}\,b^8\,d^5-2430\,a^8\,b^{10}\,d^5+2430\,a^6\,b^{12}\,d^5+4374\,a^4\,b^{14}\,d^5+2430\,a^2\,b^{16}\,d^5+486\,b^{18}\,d^5\right)+{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(\left({\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)+{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(11664\,a^{18}\,b^5\,d^8+89424\,a^{16}\,b^7\,d^8+295488\,a^{14}\,b^9\,d^8+544320\,a^{12}\,b^{11}\,d^8+598752\,a^{10}\,b^{13}\,d^8+381024\,a^8\,b^{15}\,d^8+108864\,a^6\,b^{17}\,d^8-15552\,a^4\,b^{19}\,d^8-19440\,a^2\,b^{21}\,d^8-3888\,b^{23}\,d^8\right)\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{2/3}+3888\,a\,b^{19}\,d^6+19440\,a^3\,b^{17}\,d^6+34992\,a^5\,b^{15}\,d^6+19440\,a^7\,b^{13}\,d^6-19440\,a^9\,b^{11}\,d^6-34992\,a^{11}\,b^9\,d^6-19440\,a^{13}\,b^7\,d^6-3888\,a^{15}\,b^5\,d^6\right)\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}+\frac{\ln\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-486\,a^{14}\,b^4\,d^5-2430\,a^{12}\,b^6\,d^5-4374\,a^{10}\,b^8\,d^5-2430\,a^8\,b^{10}\,d^5+2430\,a^6\,b^{12}\,d^5+4374\,a^4\,b^{14}\,d^5+2430\,a^2\,b^{16}\,d^5+486\,b^{18}\,d^5\right)+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(3888\,a\,b^{19}\,d^6+19440\,a^3\,b^{17}\,d^6+34992\,a^5\,b^{15}\,d^6+19440\,a^7\,b^{13}\,d^6-19440\,a^9\,b^{11}\,d^6-34992\,a^{11}\,b^9\,d^6-19440\,a^{13}\,b^7\,d^6-3888\,a^{15}\,b^5\,d^6+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{2/3}\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(11664\,a^{18}\,b^5\,d^8+89424\,a^{16}\,b^7\,d^8+295488\,a^{14}\,b^9\,d^8+544320\,a^{12}\,b^{11}\,d^8+598752\,a^{10}\,b^{13}\,d^8+381024\,a^8\,b^{15}\,d^8+108864\,a^6\,b^{17}\,d^8-15552\,a^4\,b^{19}\,d^8-19440\,a^2\,b^{21}\,d^8-3888\,b^{23}\,d^8\right)+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{2}\right)}{4}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}-\frac{\ln\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-486\,a^{14}\,b^4\,d^5-2430\,a^{12}\,b^6\,d^5-4374\,a^{10}\,b^8\,d^5-2430\,a^8\,b^{10}\,d^5+2430\,a^6\,b^{12}\,d^5+4374\,a^4\,b^{14}\,d^5+2430\,a^2\,b^{16}\,d^5+486\,b^{18}\,d^5\right)-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(3888\,a\,b^{19}\,d^6+19440\,a^3\,b^{17}\,d^6+34992\,a^5\,b^{15}\,d^6+19440\,a^7\,b^{13}\,d^6-19440\,a^9\,b^{11}\,d^6-34992\,a^{11}\,b^9\,d^6-19440\,a^{13}\,b^7\,d^6-3888\,a^{15}\,b^5\,d^6+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{2/3}\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(11664\,a^{18}\,b^5\,d^8+89424\,a^{16}\,b^7\,d^8+295488\,a^{14}\,b^9\,d^8+544320\,a^{12}\,b^{11}\,d^8+598752\,a^{10}\,b^{13}\,d^8+381024\,a^8\,b^{15}\,d^8+108864\,a^6\,b^{17}\,d^8-15552\,a^4\,b^{19}\,d^8-19440\,a^2\,b^{21}\,d^8-3888\,b^{23}\,d^8\right)-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{2}\right)}{4}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1{}\mathrm{i}}{8\,\left(a^5\,d^3+a^4\,b\,d^3\,5{}\mathrm{i}-10\,a^3\,b^2\,d^3-a^2\,b^3\,d^3\,10{}\mathrm{i}+5\,a\,b^4\,d^3+b^5\,d^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}+\frac{\ln\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-486\,a^{14}\,b^4\,d^5-2430\,a^{12}\,b^6\,d^5-4374\,a^{10}\,b^8\,d^5-2430\,a^8\,b^{10}\,d^5+2430\,a^6\,b^{12}\,d^5+4374\,a^4\,b^{14}\,d^5+2430\,a^2\,b^{16}\,d^5+486\,b^{18}\,d^5\right)+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}\,\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{2/3}\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(11664\,a^{18}\,b^5\,d^8+89424\,a^{16}\,b^7\,d^8+295488\,a^{14}\,b^9\,d^8+544320\,a^{12}\,b^{11}\,d^8+598752\,a^{10}\,b^{13}\,d^8+381024\,a^8\,b^{15}\,d^8+108864\,a^6\,b^{17}\,d^8-15552\,a^4\,b^{19}\,d^8-19440\,a^2\,b^{21}\,d^8-3888\,b^{23}\,d^8\right)+\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{4}\right)}{16}+3888\,a\,b^{19}\,d^6+19440\,a^3\,b^{17}\,d^6+34992\,a^5\,b^{15}\,d^6+19440\,a^7\,b^{13}\,d^6-19440\,a^9\,b^{11}\,d^6-34992\,a^{11}\,b^9\,d^6-19440\,a^{13}\,b^7\,d^6-3888\,a^{15}\,b^5\,d^6\right)}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}}{4}-\frac{\ln\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(-486\,a^{14}\,b^4\,d^5-2430\,a^{12}\,b^6\,d^5-4374\,a^{10}\,b^8\,d^5-2430\,a^8\,b^{10}\,d^5+2430\,a^6\,b^{12}\,d^5+4374\,a^4\,b^{14}\,d^5+2430\,a^2\,b^{16}\,d^5+486\,b^{18}\,d^5\right)-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}\,\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{2/3}\,\left({\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\left(11664\,a^{18}\,b^5\,d^8+89424\,a^{16}\,b^7\,d^8+295488\,a^{14}\,b^9\,d^8+544320\,a^{12}\,b^{11}\,d^8+598752\,a^{10}\,b^{13}\,d^8+381024\,a^8\,b^{15}\,d^8+108864\,a^6\,b^{17}\,d^8-15552\,a^4\,b^{19}\,d^8-19440\,a^2\,b^{21}\,d^8-3888\,b^{23}\,d^8\right)-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}\,\left(7776\,a^{21}\,b^4\,d^9+77760\,a^{19}\,b^6\,d^9+349920\,a^{17}\,b^8\,d^9+933120\,a^{15}\,b^{10}\,d^9+1632960\,a^{13}\,b^{12}\,d^9+1959552\,a^{11}\,b^{14}\,d^9+1632960\,a^9\,b^{16}\,d^9+933120\,a^7\,b^{18}\,d^9+349920\,a^5\,b^{20}\,d^9+77760\,a^3\,b^{22}\,d^9+7776\,a\,b^{24}\,d^9\right)}{4}\right)}{16}+3888\,a\,b^{19}\,d^6+19440\,a^3\,b^{17}\,d^6+34992\,a^5\,b^{15}\,d^6+19440\,a^7\,b^{13}\,d^6-19440\,a^9\,b^{11}\,d^6-34992\,a^{11}\,b^9\,d^6-19440\,a^{13}\,b^7\,d^6-3888\,a^{15}\,b^5\,d^6\right)}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{1}{a^5\,d^3\,1{}\mathrm{i}+5\,a^4\,b\,d^3-a^3\,b^2\,d^3\,10{}\mathrm{i}-10\,a^2\,b^3\,d^3+a\,b^4\,d^3\,5{}\mathrm{i}+b^5\,d^3}\right)}^{1/3}}{4}-\frac{3\,b}{2\,d\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}}","Not used",1,"(log((a + b*tan(c + d*x))^(1/3)*(486*b^18*d^5 + 2430*a^2*b^16*d^5 + 4374*a^4*b^14*d^5 + 2430*a^6*b^12*d^5 - 2430*a^8*b^10*d^5 - 4374*a^10*b^8*d^5 - 2430*a^12*b^6*d^5 - 486*a^14*b^4*d^5) + ((1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3)*(((((1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/2 + (a + b*tan(c + d*x))^(1/3)*(108864*a^6*b^17*d^8 - 19440*a^2*b^21*d^8 - 15552*a^4*b^19*d^8 - 3888*b^23*d^8 + 381024*a^8*b^15*d^8 + 598752*a^10*b^13*d^8 + 544320*a^12*b^11*d^8 + 295488*a^14*b^9*d^8 + 89424*a^16*b^7*d^8 + 11664*a^18*b^5*d^8))*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(2/3))/4 + 3888*a*b^19*d^6 + 19440*a^3*b^17*d^6 + 34992*a^5*b^15*d^6 + 19440*a^7*b^13*d^6 - 19440*a^9*b^11*d^6 - 34992*a^11*b^9*d^6 - 19440*a^13*b^7*d^6 - 3888*a^15*b^5*d^6))/2)*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3))/2 + log((a + b*tan(c + d*x))^(1/3)*(486*b^18*d^5 + 2430*a^2*b^16*d^5 + 4374*a^4*b^14*d^5 + 2430*a^6*b^12*d^5 - 2430*a^8*b^10*d^5 - 4374*a^10*b^8*d^5 - 2430*a^12*b^6*d^5 - 486*a^14*b^4*d^5) + (1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3)*(((1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9) + (a + b*tan(c + d*x))^(1/3)*(108864*a^6*b^17*d^8 - 19440*a^2*b^21*d^8 - 15552*a^4*b^19*d^8 - 3888*b^23*d^8 + 381024*a^8*b^15*d^8 + 598752*a^10*b^13*d^8 + 544320*a^12*b^11*d^8 + 295488*a^14*b^9*d^8 + 89424*a^16*b^7*d^8 + 11664*a^18*b^5*d^8))*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(2/3) + 3888*a*b^19*d^6 + 19440*a^3*b^17*d^6 + 34992*a^5*b^15*d^6 + 19440*a^7*b^13*d^6 - 19440*a^9*b^11*d^6 - 34992*a^11*b^9*d^6 - 19440*a^13*b^7*d^6 - 3888*a^15*b^5*d^6))*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3) + (log((a + b*tan(c + d*x))^(1/3)*(486*b^18*d^5 + 2430*a^2*b^16*d^5 + 4374*a^4*b^14*d^5 + 2430*a^6*b^12*d^5 - 2430*a^8*b^10*d^5 - 4374*a^10*b^8*d^5 - 2430*a^12*b^6*d^5 - 486*a^14*b^4*d^5) + ((3^(1/2)*1i - 1)*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3)*(3888*a*b^19*d^6 + 19440*a^3*b^17*d^6 + 34992*a^5*b^15*d^6 + 19440*a^7*b^13*d^6 - 19440*a^9*b^11*d^6 - 34992*a^11*b^9*d^6 - 19440*a^13*b^7*d^6 - 3888*a^15*b^5*d^6 + ((3^(1/2)*1i - 1)^2*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(2/3)*((a + b*tan(c + d*x))^(1/3)*(108864*a^6*b^17*d^8 - 19440*a^2*b^21*d^8 - 15552*a^4*b^19*d^8 - 3888*b^23*d^8 + 381024*a^8*b^15*d^8 + 598752*a^10*b^13*d^8 + 544320*a^12*b^11*d^8 + 295488*a^14*b^9*d^8 + 89424*a^16*b^7*d^8 + 11664*a^18*b^5*d^8) + ((3^(1/2)*1i - 1)*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/2))/4))/2)*(3^(1/2)*1i - 1)*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3))/2 - (log((a + b*tan(c + d*x))^(1/3)*(486*b^18*d^5 + 2430*a^2*b^16*d^5 + 4374*a^4*b^14*d^5 + 2430*a^6*b^12*d^5 - 2430*a^8*b^10*d^5 - 4374*a^10*b^8*d^5 - 2430*a^12*b^6*d^5 - 486*a^14*b^4*d^5) - ((3^(1/2)*1i + 1)*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3)*(3888*a*b^19*d^6 + 19440*a^3*b^17*d^6 + 34992*a^5*b^15*d^6 + 19440*a^7*b^13*d^6 - 19440*a^9*b^11*d^6 - 34992*a^11*b^9*d^6 - 19440*a^13*b^7*d^6 - 3888*a^15*b^5*d^6 + ((3^(1/2)*1i + 1)^2*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(2/3)*((a + b*tan(c + d*x))^(1/3)*(108864*a^6*b^17*d^8 - 19440*a^2*b^21*d^8 - 15552*a^4*b^19*d^8 - 3888*b^23*d^8 + 381024*a^8*b^15*d^8 + 598752*a^10*b^13*d^8 + 544320*a^12*b^11*d^8 + 295488*a^14*b^9*d^8 + 89424*a^16*b^7*d^8 + 11664*a^18*b^5*d^8) - ((3^(1/2)*1i + 1)*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/2))/4))/2)*(3^(1/2)*1i + 1)*(1i/(8*(a^5*d^3 + b^5*d^3*1i + 5*a*b^4*d^3 + a^4*b*d^3*5i - a^2*b^3*d^3*10i - 10*a^3*b^2*d^3)))^(1/3))/2 + (log((a + b*tan(c + d*x))^(1/3)*(486*b^18*d^5 + 2430*a^2*b^16*d^5 + 4374*a^4*b^14*d^5 + 2430*a^6*b^12*d^5 - 2430*a^8*b^10*d^5 - 4374*a^10*b^8*d^5 - 2430*a^12*b^6*d^5 - 486*a^14*b^4*d^5) + ((3^(1/2)*1i - 1)*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3)*(((3^(1/2)*1i - 1)^2*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(2/3)*((a + b*tan(c + d*x))^(1/3)*(108864*a^6*b^17*d^8 - 19440*a^2*b^21*d^8 - 15552*a^4*b^19*d^8 - 3888*b^23*d^8 + 381024*a^8*b^15*d^8 + 598752*a^10*b^13*d^8 + 544320*a^12*b^11*d^8 + 295488*a^14*b^9*d^8 + 89424*a^16*b^7*d^8 + 11664*a^18*b^5*d^8) + ((3^(1/2)*1i - 1)*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/4))/16 + 3888*a*b^19*d^6 + 19440*a^3*b^17*d^6 + 34992*a^5*b^15*d^6 + 19440*a^7*b^13*d^6 - 19440*a^9*b^11*d^6 - 34992*a^11*b^9*d^6 - 19440*a^13*b^7*d^6 - 3888*a^15*b^5*d^6))/4)*(3^(1/2)*1i - 1)*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3))/4 - (log((a + b*tan(c + d*x))^(1/3)*(486*b^18*d^5 + 2430*a^2*b^16*d^5 + 4374*a^4*b^14*d^5 + 2430*a^6*b^12*d^5 - 2430*a^8*b^10*d^5 - 4374*a^10*b^8*d^5 - 2430*a^12*b^6*d^5 - 486*a^14*b^4*d^5) - ((3^(1/2)*1i + 1)*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3)*(((3^(1/2)*1i + 1)^2*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(2/3)*((a + b*tan(c + d*x))^(1/3)*(108864*a^6*b^17*d^8 - 19440*a^2*b^21*d^8 - 15552*a^4*b^19*d^8 - 3888*b^23*d^8 + 381024*a^8*b^15*d^8 + 598752*a^10*b^13*d^8 + 544320*a^12*b^11*d^8 + 295488*a^14*b^9*d^8 + 89424*a^16*b^7*d^8 + 11664*a^18*b^5*d^8) - ((3^(1/2)*1i + 1)*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3)*(7776*a*b^24*d^9 + 77760*a^3*b^22*d^9 + 349920*a^5*b^20*d^9 + 933120*a^7*b^18*d^9 + 1632960*a^9*b^16*d^9 + 1959552*a^11*b^14*d^9 + 1632960*a^13*b^12*d^9 + 933120*a^15*b^10*d^9 + 349920*a^17*b^8*d^9 + 77760*a^19*b^6*d^9 + 7776*a^21*b^4*d^9))/4))/16 + 3888*a*b^19*d^6 + 19440*a^3*b^17*d^6 + 34992*a^5*b^15*d^6 + 19440*a^7*b^13*d^6 - 19440*a^9*b^11*d^6 - 34992*a^11*b^9*d^6 - 19440*a^13*b^7*d^6 - 3888*a^15*b^5*d^6))/4)*(3^(1/2)*1i + 1)*(1/(a^5*d^3*1i + b^5*d^3 + a*b^4*d^3*5i + 5*a^4*b*d^3 - 10*a^2*b^3*d^3 - a^3*b^2*d^3*10i))^(1/3))/4 - (3*b)/(2*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(2/3))","B"
696,0,-1,261,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^4,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^4 \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^4, x)","F"
697,0,-1,198,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^3,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^3, x)","F"
698,0,-1,140,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^2,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^2, x)","F"
699,0,-1,103,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + b*tan(e + f*x)),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + b*tan(e + f*x)), x)","F"
700,0,-1,181,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + b*tan(e + f*x)),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + b*tan(e + f*x)), x)","F"
701,0,-1,252,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d*tan(e + f*x))^n/(a + b*tan(e + f*x))^2, x)","F"
702,0,-1,175,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(tan(c + d*x)^m*(a + b*tan(c + d*x))^(3/2), x)","F"
703,0,-1,173,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(tan(c + d*x)^m*(a + b*tan(c + d*x))^(1/2), x)","F"
704,0,-1,173,0.000000,"\text{Not used}","int(tan(c + d*x)^m/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(tan(c + d*x)^m/(a + b*tan(c + d*x))^(1/2), x)","F"
705,0,-1,179,0.000000,"\text{Not used}","int(tan(c + d*x)^m/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(tan(c + d*x)^m/(a + b*tan(c + d*x))^(3/2), x)","F"
706,0,-1,179,0.000000,"\text{Not used}","int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^m,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int((d*tan(e + f*x))^n*(a + b*tan(e + f*x))^m, x)","F"
707,0,-1,297,0.000000,"\text{Not used}","int(tan(c + d*x)^4*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^4*(a + b*tan(c + d*x))^n, x)","F"
708,0,-1,192,0.000000,"\text{Not used}","int(tan(c + d*x)^3*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^3\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^3*(a + b*tan(c + d*x))^n, x)","F"
709,0,-1,193,0.000000,"\text{Not used}","int(tan(c + d*x)^2*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^2*(a + b*tan(c + d*x))^n, x)","F"
710,0,-1,127,0.000000,"\text{Not used}","int(tan(c + d*x)*(a + b*tan(c + d*x))^n,x)","\int \mathrm{tan}\left(c+d\,x\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(tan(c + d*x)*(a + b*tan(c + d*x))^n, x)","F"
711,0,-1,167,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n,x)","\int {\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((a + b*tan(c + d*x))^n, x)","F"
712,0,-1,175,0.000000,"\text{Not used}","int(cot(c + d*x)*(a + b*tan(c + d*x))^n,x)","\int \mathrm{cot}\left(c+d\,x\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cot(c + d*x)*(a + b*tan(c + d*x))^n, x)","F"
713,0,-1,245,0.000000,"\text{Not used}","int(cot(c + d*x)^2*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cot(c + d*x)^2*(a + b*tan(c + d*x))^n, x)","F"
714,0,-1,261,0.000000,"\text{Not used}","int(cot(c + d*x)^3*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^3\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cot(c + d*x)^3*(a + b*tan(c + d*x))^n, x)","F"
715,0,-1,159,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^n, x)","F"
716,0,-1,159,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^n,x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^n, x)","F"
717,0,-1,153,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/tan(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/tan(c + d*x)^(1/2), x)","F"
718,0,-1,155,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/tan(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/tan(c + d*x)^(3/2), x)","F"
719,0,-1,65,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i), x)","F"
720,0,-1,45,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i), x)","F"
721,1,22,28,5.414460,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i),x)","-\frac{2\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)}{d}","Not used",1,"-(2*(-1)^(1/4)*a*atan((-1)^(1/4)*cot(c + d*x)^(1/2)))/d","B"
722,1,102,47,5.644785,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cot(c + d*x)^(1/2),x)","\frac{a\,2{}\mathrm{i}}{d\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(a*2i)/(d*cot(c + d*x)^(1/2)) - ((-1)^(1/4)*a*atan((-1)^(1/4)/cot(c + d*x)^(1/2)))/d + ((-1)^(1/4)*a*atan((-1)^(1/4)*cot(c + d*x)^(1/2))*1i)/d - ((-1)^(1/4)*a*atanh((-1)^(1/4)/cot(c + d*x)^(1/2)))/d + ((-1)^(1/4)*a*atanh((-1)^(1/4)*cot(c + d*x)^(1/2))*1i)/d","B"
723,0,-1,65,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cot(c + d*x)^(3/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/cot(c + d*x)^(3/2), x)","F"
724,0,-1,91,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^2, x)","F"
725,0,-1,71,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^2, x)","F"
726,0,-1,49,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^2, x)","F"
727,0,-1,49,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^2,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^2, x)","F"
728,0,-1,71,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/cot(c + d*x)^(1/2), x)","F"
729,0,-1,91,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cot(c + d*x)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/cot(c + d*x)^(3/2), x)","F"
730,0,-1,106,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
731,0,-1,88,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
732,0,-1,64,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
733,0,-1,86,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
734,0,-1,106,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/cot(c + d*x)^(1/2), x)","F"
735,0,-1,220,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i), x)","F"
736,0,-1,200,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i), x)","F"
737,0,-1,68,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)), x)","F"
738,0,-1,200,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)), x)","F"
739,0,-1,222,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)), x)","F"
740,0,-1,252,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
741,0,-1,232,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
742,0,-1,234,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
743,0,-1,234,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
744,0,-1,234,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
745,0,-1,254,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
746,0,-1,273,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
747,0,-1,267,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
748,0,-1,141,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
749,0,-1,222,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
750,0,-1,275,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
751,0,-1,174,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
752,0,-1,140,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
753,0,-1,102,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
754,0,-1,69,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
755,0,-1,144,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cot(c + d*x)^(1/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/cot(c + d*x)^(1/2), x)","F"
756,0,-1,175,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cot(c + d*x)^(3/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/cot(c + d*x)^(3/2), x)","F"
757,0,-1,218,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
758,0,-1,139,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
759,0,-1,103,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
760,0,-1,144,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
761,0,-1,216,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/cot(c + d*x)^(1/2), x)","F"
762,0,-1,222,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(9/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
763,0,-1,176,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
764,0,-1,142,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
765,0,-1,179,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
766,0,-1,179,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
767,0,-1,222,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/cot(c + d*x)^(1/2), x)","F"
768,0,-1,181,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
769,0,-1,140,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
770,0,-1,105,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
771,0,-1,108,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
772,0,-1,180,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
773,0,-1,217,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
774,0,-1,221,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
775,0,-1,182,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
776,0,-1,145,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
777,0,-1,147,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
778,0,-1,147,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
779,0,-1,221,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
780,0,-1,258,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
781,0,-1,258,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
782,0,-1,219,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
783,0,-1,182,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
784,0,-1,188,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
785,0,-1,184,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
786,0,-1,186,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
787,0,-1,258,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
788,0,-1,139,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i)^3,x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i)^3, x)","F"
789,0,-1,72,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i)^2,x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i)^2, x)","F"
790,0,-1,37,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i),x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i), x)","F"
791,0,-1,157,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n/(a + a*tan(e + f*x)*1i),x)","\int \frac{{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n}{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((d*cot(e + f*x))^n/(a + a*tan(e + f*x)*1i), x)","F"
792,0,-1,202,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((d*cot(e + f*x))^n/(a + a*tan(e + f*x)*1i)^2, x)","F"
793,0,-1,95,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i)^m,x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + a*tan(e + f*x)*1i)^m, x)","F"
794,0,-1,79,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^n, x)","F"
795,0,-1,79,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^n,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^n, x)","F"
796,0,-1,81,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/cot(c + d*x)^(1/2), x)","F"
797,0,-1,81,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cot(c + d*x)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/cot(c + d*x)^(3/2), x)","F"
798,0,-1,202,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x)),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right) \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x)), x)","F"
799,0,-1,184,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x)),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right) \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x)), x)","F"
800,0,-1,166,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x)),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right) \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x)), x)","F"
801,1,86,150,5.454266,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x)),x)","\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)}{d}-\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((-1)^(1/4)*a*atanh((-1)^(1/4)*cot(c + d*x)^(1/2)))/d - ((-1)^(1/4)*a*atan((-1)^(1/4)*cot(c + d*x)^(1/2)))/d + ((-1)^(1/4)*b*atan((-1)^(1/4)*cot(c + d*x)^(1/2))*1i)/d + ((-1)^(1/4)*b*atanh((-1)^(1/4)*cot(c + d*x)^(1/2))*1i)/d","B"
802,1,99,166,5.728820,"\text{Not used}","int((a + b*tan(c + d*x))/cot(c + d*x)^(1/2),x)","\frac{2\,b}{d\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{cot}\left(c+d\,x\right)}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2*b)/(d*cot(c + d*x)^(1/2)) + ((-1)^(1/4)*a*atan((-1)^(1/4)*cot(c + d*x)^(1/2))*1i)/d + ((-1)^(1/4)*a*atanh((-1)^(1/4)*cot(c + d*x)^(1/2))*1i)/d + ((-1)^(1/4)*b*atan((-1)^(1/4)/cot(c + d*x)^(1/2))*1i)/d + ((-1)^(1/4)*b*atanh((-1)^(1/4)/cot(c + d*x)^(1/2))*1i)/d","B"
803,0,-1,184,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))/cot(c + d*x)^(3/2),x)","\int \frac{a+b\,\mathrm{tan}\left(c+d\,x\right)}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))/cot(c + d*x)^(3/2), x)","F"
804,0,-1,202,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))/cot(c + d*x)^(5/2),x)","\int \frac{a+b\,\mathrm{tan}\left(c+d\,x\right)}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))/cot(c + d*x)^(5/2), x)","F"
805,0,-1,268,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^2, x)","F"
806,0,-1,249,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^2, x)","F"
807,0,-1,223,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2, x)","F"
808,0,-1,204,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2, x)","F"
809,0,-1,204,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2, x)","F"
810,0,-1,223,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^2/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^2/cot(c + d*x)^(1/2), x)","F"
811,0,-1,249,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^2/cot(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^2/cot(c + d*x)^(3/2), x)","F"
812,0,-1,268,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^2/cot(c + d*x)^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^2/cot(c + d*x)^(5/2), x)","F"
813,0,-1,299,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^3, x)","F"
814,0,-1,270,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^3, x)","F"
815,0,-1,245,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3, x)","F"
816,0,-1,245,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3, x)","F"
817,0,-1,245,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3, x)","F"
818,0,-1,272,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^3/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^3/cot(c + d*x)^(1/2), x)","F"
819,0,-1,299,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^3/cot(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^3/cot(c + d*x)^(3/2), x)","F"
820,0,-1,271,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x)),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x)), x)","F"
821,0,-1,250,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x)),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x)), x)","F"
822,0,-1,232,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x)),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x)), x)","F"
823,0,-1,232,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))), x)","F"
824,0,-1,232,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))), x)","F"
825,0,-1,250,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))), x)","F"
826,0,-1,398,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^2,x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^2, x)","F"
827,0,-1,357,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^2,x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^2, x)","F"
828,0,-1,318,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^2,x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^2, x)","F"
829,0,-1,315,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2), x)","F"
830,0,-1,313,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2), x)","F"
831,0,-1,319,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2), x)","F"
832,0,-1,357,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^2),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(1/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^2), x)","F"
833,0,-1,493,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^3,x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^3, x)","F"
834,0,-1,444,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^3,x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^3, x)","F"
835,0,-1,396,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^3,x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^3, x)","F"
836,0,-1,392,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3), x)","F"
837,0,-1,385,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3), x)","F"
838,0,-1,385,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3), x)","F"
839,0,-1,396,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(1/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^3), x)","F"
840,0,-1,261,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(1/2), x)","F"
841,0,-1,221,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2), x)","F"
842,0,-1,179,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2), x)","F"
843,0,-1,155,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2), x)","F"
844,0,-1,211,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(1/2)/cot(c + d*x)^(1/2),x)","\int \frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(1/2)/cot(c + d*x)^(1/2), x)","F"
845,0,-1,244,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(1/2)/cot(c + d*x)^(3/2),x)","\int \frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(1/2)/cot(c + d*x)^(3/2), x)","F"
846,0,-1,306,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
847,0,-1,264,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
848,0,-1,213,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
849,0,-1,185,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
850,0,-1,212,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2), x)","F"
851,0,-1,246,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2)/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(3/2)/cot(c + d*x)^(1/2), x)","F"
852,0,-1,286,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(3/2)/cot(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(3/2)/cot(c + d*x)^(3/2), x)","F"
853,0,-1,358,0.000000,"\text{Not used}","int(cot(c + d*x)^(11/2)*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{11/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(11/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
854,0,-1,310,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(9/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
855,0,-1,259,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
856,0,-1,222,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
857,0,-1,243,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
858,0,-1,248,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2), x)","F"
859,0,-1,291,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/cot(c + d*x)^(1/2), x)","F"
860,0,-1,337,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^(5/2)/cot(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^(5/2)/cot(c + d*x)^(3/2), x)","F"
861,0,-1,220,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(1/2), x)","F"
862,0,-1,187,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(1/2), x)","F"
863,0,-1,149,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(1/2), x)","F"
864,0,-1,155,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
865,0,-1,212,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
866,0,-1,248,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
867,0,-1,281,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(3/2), x)","F"
868,0,-1,233,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(3/2), x)","F"
869,0,-1,199,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(3/2), x)","F"
870,0,-1,189,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
871,0,-1,194,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
872,0,-1,255,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
873,0,-1,310,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
874,0,-1,338,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(cot(c + d*x)^(5/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
875,0,-1,305,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(cot(c + d*x)^(3/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
876,0,-1,252,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(cot(c + d*x)^(1/2)/(a + b*tan(c + d*x))^(5/2), x)","F"
877,0,-1,251,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{1}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
878,0,-1,239,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
879,0,-1,254,0.000000,"\text{Not used}","int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{1}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
880,0,-1,206,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + b*tan(e + f*x))^3,x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + b*tan(e + f*x))^3, x)","F"
881,0,-1,132,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + b*tan(e + f*x))^2,x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + b*tan(e + f*x))^2, x)","F"
882,0,-1,96,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + b*tan(e + f*x)),x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + b*tan(e + f*x)), x)","F"
883,0,-1,182,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n/(a + b*tan(e + f*x)),x)","\int \frac{{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d*cot(e + f*x))^n/(a + b*tan(e + f*x)), x)","F"
884,0,-1,250,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d*cot(e + f*x))^n/(a + b*tan(e + f*x))^2, x)","F"
885,0,-1,193,0.000000,"\text{Not used}","int((d*cot(e + f*x))^n*(a + b*tan(e + f*x))^m,x)","\int {\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int((d*cot(e + f*x))^n*(a + b*tan(e + f*x))^m, x)","F"
886,0,-1,155,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^n, x)","F"
887,0,-1,153,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^n,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^n, x)","F"
888,0,-1,159,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/cot(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/cot(c + d*x)^(1/2), x)","F"
889,0,-1,159,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/cot(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/cot(c + d*x)^(3/2), x)","F"
890,1,36,25,4.781522,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i),x)","\frac{a^3\,c\,\mathrm{tan}\left(e+f\,x\right)\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+3\right)}{3\,f}","Not used",1,"(a^3*c*tan(e + f*x)*(tan(e + f*x)*3i - tan(e + f*x)^2 + 3))/(3*f)","B"
891,1,26,25,4.728485,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i),x)","\frac{a^2\,c\,\mathrm{tan}\left(e+f\,x\right)\,\left(2+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{2\,f}","Not used",1,"(a^2*c*tan(e + f*x)*(tan(e + f*x)*1i + 2))/(2*f)","B"
892,1,12,12,4.692867,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i),x)","\frac{a\,c\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"(a*c*tan(e + f*x))/f","B"
893,1,23,23,4.775068,"\text{Not used}","int((c - c*tan(e + f*x)*1i)/(a + a*tan(e + f*x)*1i),x)","\frac{c\,1{}\mathrm{i}}{a\,f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(c*1i)/(a*f*(tan(e + f*x)*1i + 1))","B"
894,1,21,25,4.810466,"\text{Not used}","int((c - c*tan(e + f*x)*1i)/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{c\,1{}\mathrm{i}}{2\,a^2\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}^2}","Not used",1,"-(c*1i)/(2*a^2*f*(tan(e + f*x) - 1i)^2)","B"
895,1,20,25,4.791245,"\text{Not used}","int((c - c*tan(e + f*x)*1i)/(a + a*tan(e + f*x)*1i)^3,x)","-\frac{c}{3\,a^3\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}^3}","Not used",1,"-c/(3*a^3*f*(tan(e + f*x) - 1i)^3)","B"
896,1,80,58,4.803817,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4*(c - c*tan(e + f*x)*1i)^2,x)","\frac{a^4\,c^2\,\sin\left(e+f\,x\right)\,\left(10\,{\cos\left(e+f\,x\right)}^4+{\cos\left(e+f\,x\right)}^3\,\sin\left(e+f\,x\right)\,10{}\mathrm{i}+\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^3\,5{}\mathrm{i}-2\,{\sin\left(e+f\,x\right)}^4\right)}{10\,f\,{\cos\left(e+f\,x\right)}^5}","Not used",1,"(a^4*c^2*sin(e + f*x)*(cos(e + f*x)*sin(e + f*x)^3*5i + cos(e + f*x)^3*sin(e + f*x)*10i + 10*cos(e + f*x)^4 - 2*sin(e + f*x)^4))/(10*f*cos(e + f*x)^5)","B"
897,1,80,61,4.723243,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^2,x)","\frac{a^3\,c^2\,\sin\left(e+f\,x\right)\,\left(12\,{\cos\left(e+f\,x\right)}^3+{\cos\left(e+f\,x\right)}^2\,\sin\left(e+f\,x\right)\,6{}\mathrm{i}+4\,\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^2+{\sin\left(e+f\,x\right)}^3\,3{}\mathrm{i}\right)}{12\,f\,{\cos\left(e+f\,x\right)}^4}","Not used",1,"(a^3*c^2*sin(e + f*x)*(4*cos(e + f*x)*sin(e + f*x)^2 + cos(e + f*x)^2*sin(e + f*x)*6i + 12*cos(e + f*x)^3 + sin(e + f*x)^3*3i))/(12*f*cos(e + f*x)^4)","B"
898,1,27,38,4.635775,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^2,x)","\frac{a^2\,c^2\,\mathrm{tan}\left(e+f\,x\right)\,\left({\mathrm{tan}\left(e+f\,x\right)}^2+3\right)}{3\,f}","Not used",1,"(a^2*c^2*tan(e + f*x)*(tan(e + f*x)^2 + 3))/(3*f)","B"
899,1,26,25,4.542236,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^2,x)","-\frac{a\,c^2\,\mathrm{tan}\left(e+f\,x\right)\,\left(-2+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{2\,f}","Not used",1,"-(a*c^2*tan(e + f*x)*(tan(e + f*x)*1i - 2))/(2*f)","B"
900,1,48,55,4.617666,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^2/(a + a*tan(e + f*x)*1i),x)","\frac{c^2\,2{}\mathrm{i}}{a\,f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{c^2\,\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{a\,f}","Not used",1,"(c^2*2i)/(a*f*(tan(e + f*x)*1i + 1)) + (c^2*log(tan(e + f*x) - 1i)*1i)/(a*f)","B"
901,1,28,28,4.596559,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^2/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{c^2\,\mathrm{tan}\left(e+f\,x\right)}{a^2\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}^2}","Not used",1,"-(c^2*tan(e + f*x))/(a^2*f*(tan(e + f*x) - 1i)^2)","B"
902,1,56,58,4.616397,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^2/(a + a*tan(e + f*x)*1i)^3,x)","\frac{c^2\,\left(3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{6\,a^3\,f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+1\right)}","Not used",1,"(c^2*(3*tan(e + f*x) + 1i))/(6*a^3*f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1))","B"
903,1,67,62,4.716334,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^2/(a + a*tan(e + f*x)*1i)^4,x)","\frac{c^2\,\left(-1+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}\right)}{6\,a^4\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}+4\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,6{}\mathrm{i}-4\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(c^2*(tan(e + f*x)*2i - 1))/(6*a^4*f*(4*tan(e + f*x)^3 - tan(e + f*x)^2*6i - 4*tan(e + f*x) + tan(e + f*x)^4*1i + 1i))","B"
904,1,96,88,4.895155,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^5*(c - c*tan(e + f*x)*1i)^3,x)","\frac{a^5\,c^3\,\left(-{\cos\left(e+f\,x\right)}^7\,35{}\mathrm{i}+64\,\sin\left(e+f\,x\right)\,{\cos\left(e+f\,x\right)}^6+32\,\sin\left(e+f\,x\right)\,{\cos\left(e+f\,x\right)}^4+24\,\sin\left(e+f\,x\right)\,{\cos\left(e+f\,x\right)}^2+\cos\left(e+f\,x\right)\,35{}\mathrm{i}-15\,\sin\left(e+f\,x\right)\right)}{105\,f\,{\cos\left(e+f\,x\right)}^7}","Not used",1,"(a^5*c^3*(cos(e + f*x)*35i - 15*sin(e + f*x) + 24*cos(e + f*x)^2*sin(e + f*x) + 32*cos(e + f*x)^4*sin(e + f*x) + 64*cos(e + f*x)^6*sin(e + f*x) - cos(e + f*x)^7*35i))/(105*f*cos(e + f*x)^7)","B"
905,1,117,82,4.706718,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4*(c - c*tan(e + f*x)*1i)^3,x)","\frac{a^4\,c^3\,\sin\left(e+f\,x\right)\,\left(30\,{\cos\left(e+f\,x\right)}^5+{\cos\left(e+f\,x\right)}^4\,\sin\left(e+f\,x\right)\,15{}\mathrm{i}+20\,{\cos\left(e+f\,x\right)}^3\,{\sin\left(e+f\,x\right)}^2+{\cos\left(e+f\,x\right)}^2\,{\sin\left(e+f\,x\right)}^3\,15{}\mathrm{i}+6\,\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^4+{\sin\left(e+f\,x\right)}^5\,5{}\mathrm{i}\right)}{30\,f\,{\cos\left(e+f\,x\right)}^6}","Not used",1,"(a^4*c^3*sin(e + f*x)*(6*cos(e + f*x)*sin(e + f*x)^4 + cos(e + f*x)^4*sin(e + f*x)*15i + 30*cos(e + f*x)^5 + sin(e + f*x)^5*5i + cos(e + f*x)^2*sin(e + f*x)^3*15i + 20*cos(e + f*x)^3*sin(e + f*x)^2))/(30*f*cos(e + f*x)^6)","B"
906,1,39,59,4.733601,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^3,x)","\frac{a^3\,c^3\,\mathrm{tan}\left(e+f\,x\right)\,\left(3\,{\mathrm{tan}\left(e+f\,x\right)}^4+10\,{\mathrm{tan}\left(e+f\,x\right)}^2+15\right)}{15\,f}","Not used",1,"(a^3*c^3*tan(e + f*x)*(10*tan(e + f*x)^2 + 3*tan(e + f*x)^4 + 15))/(15*f)","B"
907,1,80,61,4.748649,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^3,x)","\frac{a^2\,c^3\,\sin\left(e+f\,x\right)\,\left(12\,{\cos\left(e+f\,x\right)}^3-{\cos\left(e+f\,x\right)}^2\,\sin\left(e+f\,x\right)\,6{}\mathrm{i}+4\,\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^2-{\sin\left(e+f\,x\right)}^3\,3{}\mathrm{i}\right)}{12\,f\,{\cos\left(e+f\,x\right)}^4}","Not used",1,"(a^2*c^3*sin(e + f*x)*(4*cos(e + f*x)*sin(e + f*x)^2 - cos(e + f*x)^2*sin(e + f*x)*6i + 12*cos(e + f*x)^3 - sin(e + f*x)^3*3i))/(12*f*cos(e + f*x)^4)","B"
908,1,34,25,4.729626,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^3,x)","-\frac{a\,c^3\,\mathrm{tan}\left(e+f\,x\right)\,\left({\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}-3\right)}{3\,f}","Not used",1,"-(a*c^3*tan(e + f*x)*(tan(e + f*x)*3i + tan(e + f*x)^2 - 3))/(3*f)","B"
909,1,64,71,4.783242,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^3/(a + a*tan(e + f*x)*1i),x)","\frac{c^3\,\mathrm{tan}\left(e+f\,x\right)}{a\,f}+\frac{c^3\,4{}\mathrm{i}}{a\,f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{c^3\,\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,4{}\mathrm{i}}{a\,f}","Not used",1,"(c^3*tan(e + f*x))/(a*f) + (c^3*4i)/(a*f*(tan(e + f*x)*1i + 1)) + (c^3*log(tan(e + f*x) - 1i)*4i)/(a*f)","B"
910,1,76,83,4.875028,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^3/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{\frac{2\,c^3}{a^2}+\frac{c^3\,\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}}{a^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}-\frac{c^3\,\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{a^2\,f}","Not used",1,"- ((2*c^3)/a^2 + (c^3*tan(e + f*x)*4i)/a^2)/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) - (c^3*log(tan(e + f*x) - 1i)*1i)/(a^2*f)","B"
911,1,59,50,4.819961,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^3/(a + a*tan(e + f*x)*1i)^3,x)","-\frac{c^3\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}-\frac{1}{3}{}\mathrm{i}\right)}{a^3\,f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+1\right)}","Not used",1,"-(c^3*(tan(e + f*x)^2*1i - 1i/3))/(a^3*f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1))","B"
912,1,77,87,4.846390,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^3/(a + a*tan(e + f*x)*1i)^4,x)","\frac{c^3\,\left(3\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}-1\right)}{6\,a^4\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}+4\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,6{}\mathrm{i}-4\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(c^3*(tan(e + f*x)*2i + 3*tan(e + f*x)^2 - 1))/(6*a^4*f*(4*tan(e + f*x)^3 - tan(e + f*x)^2*6i - 4*tan(e + f*x) + tan(e + f*x)^4*1i + 1i))","B"
913,1,88,90,4.861521,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^3/(a + a*tan(e + f*x)*1i)^5,x)","\frac{c^3\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^2\,5{}\mathrm{i}+5\,\mathrm{tan}\left(e+f\,x\right)+2{}\mathrm{i}\right)}{15\,a^5\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5\,1{}\mathrm{i}+5\,{\mathrm{tan}\left(e+f\,x\right)}^4-{\mathrm{tan}\left(e+f\,x\right)}^3\,10{}\mathrm{i}-10\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,5{}\mathrm{i}+1\right)}","Not used",1,"(c^3*(5*tan(e + f*x) - tan(e + f*x)^2*5i + 2i))/(15*a^5*f*(tan(e + f*x)*5i - 10*tan(e + f*x)^2 - tan(e + f*x)^3*10i + 5*tan(e + f*x)^4 + tan(e + f*x)^5*1i + 1))","B"
914,1,95,100,4.738586,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^5*(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^5\,c^4\,\left(-{\cos\left(e+f\,x\right)}^8\,35{}\mathrm{i}+128\,\sin\left(e+f\,x\right)\,{\cos\left(e+f\,x\right)}^7+64\,\sin\left(e+f\,x\right)\,{\cos\left(e+f\,x\right)}^5+48\,\sin\left(e+f\,x\right)\,{\cos\left(e+f\,x\right)}^3+40\,\sin\left(e+f\,x\right)\,\cos\left(e+f\,x\right)+35{}\mathrm{i}\right)}{280\,f\,{\cos\left(e+f\,x\right)}^8}","Not used",1,"(a^5*c^4*(40*cos(e + f*x)*sin(e + f*x) + 48*cos(e + f*x)^3*sin(e + f*x) + 64*cos(e + f*x)^5*sin(e + f*x) + 128*cos(e + f*x)^7*sin(e + f*x) - cos(e + f*x)^8*35i + 35i))/(280*f*cos(e + f*x)^8)","B"
915,1,82,77,4.582651,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4*(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^4\,c^4\,\sin\left(e+f\,x\right)\,\left(35\,{\cos\left(e+f\,x\right)}^6+35\,{\cos\left(e+f\,x\right)}^4\,{\sin\left(e+f\,x\right)}^2+21\,{\cos\left(e+f\,x\right)}^2\,{\sin\left(e+f\,x\right)}^4+5\,{\sin\left(e+f\,x\right)}^6\right)}{35\,f\,{\cos\left(e+f\,x\right)}^7}","Not used",1,"(a^4*c^4*sin(e + f*x)*(35*cos(e + f*x)^6 + 5*sin(e + f*x)^6 + 21*cos(e + f*x)^2*sin(e + f*x)^4 + 35*cos(e + f*x)^4*sin(e + f*x)^2))/(35*f*cos(e + f*x)^7)","B"
916,1,117,82,4.545314,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^3\,c^4\,\sin\left(e+f\,x\right)\,\left(30\,{\cos\left(e+f\,x\right)}^5-{\cos\left(e+f\,x\right)}^4\,\sin\left(e+f\,x\right)\,15{}\mathrm{i}+20\,{\cos\left(e+f\,x\right)}^3\,{\sin\left(e+f\,x\right)}^2-{\cos\left(e+f\,x\right)}^2\,{\sin\left(e+f\,x\right)}^3\,15{}\mathrm{i}+6\,\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^4-{\sin\left(e+f\,x\right)}^5\,5{}\mathrm{i}\right)}{30\,f\,{\cos\left(e+f\,x\right)}^6}","Not used",1,"(a^3*c^4*sin(e + f*x)*(6*cos(e + f*x)*sin(e + f*x)^4 - cos(e + f*x)^4*sin(e + f*x)*15i + 30*cos(e + f*x)^5 - sin(e + f*x)^5*5i - cos(e + f*x)^2*sin(e + f*x)^3*15i + 20*cos(e + f*x)^3*sin(e + f*x)^2))/(30*f*cos(e + f*x)^6)","B"
917,1,80,58,4.604076,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^4,x)","-\frac{a^2\,c^4\,\sin\left(e+f\,x\right)\,\left(-10\,{\cos\left(e+f\,x\right)}^4+{\cos\left(e+f\,x\right)}^3\,\sin\left(e+f\,x\right)\,10{}\mathrm{i}+\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^3\,5{}\mathrm{i}+2\,{\sin\left(e+f\,x\right)}^4\right)}{10\,f\,{\cos\left(e+f\,x\right)}^5}","Not used",1,"-(a^2*c^4*sin(e + f*x)*(cos(e + f*x)*sin(e + f*x)^3*5i + cos(e + f*x)^3*sin(e + f*x)*10i - 10*cos(e + f*x)^4 + 2*sin(e + f*x)^4))/(10*f*cos(e + f*x)^5)","B"
918,1,78,25,4.585138,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^4,x)","-\frac{a\,c^4\,\sin\left(e+f\,x\right)\,\left(-4\,{\cos\left(e+f\,x\right)}^3+{\cos\left(e+f\,x\right)}^2\,\sin\left(e+f\,x\right)\,6{}\mathrm{i}+4\,\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^2-{\sin\left(e+f\,x\right)}^3\,1{}\mathrm{i}\right)}{4\,f\,{\cos\left(e+f\,x\right)}^4}","Not used",1,"-(a*c^4*sin(e + f*x)*(4*cos(e + f*x)*sin(e + f*x)^2 + cos(e + f*x)^2*sin(e + f*x)*6i - 4*cos(e + f*x)^3 - sin(e + f*x)^3*1i))/(4*f*cos(e + f*x)^4)","B"
919,1,85,95,4.678027,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^4/(a + a*tan(e + f*x)*1i),x)","\frac{5\,c^4\,\mathrm{tan}\left(e+f\,x\right)}{a\,f}+\frac{c^4\,8{}\mathrm{i}}{a\,f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{c^4\,{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}}{2\,a\,f}+\frac{c^4\,\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,12{}\mathrm{i}}{a\,f}","Not used",1,"(5*c^4*tan(e + f*x))/(a*f) + (c^4*8i)/(a*f*(tan(e + f*x)*1i + 1)) - (c^4*tan(e + f*x)^2*1i)/(2*a*f) + (c^4*log(tan(e + f*x) - 1i)*12i)/(a*f)","B"
920,1,93,101,4.843744,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^4/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{\frac{8\,c^4}{a^2}+\frac{c^4\,\mathrm{tan}\left(e+f\,x\right)\,12{}\mathrm{i}}{a^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}-\frac{c^4\,\mathrm{tan}\left(e+f\,x\right)}{a^2\,f}-\frac{c^4\,\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,6{}\mathrm{i}}{a^2\,f}","Not used",1,"- ((8*c^4)/a^2 + (c^4*tan(e + f*x)*12i)/a^2)/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) - (c^4*tan(e + f*x))/(a^2*f) - (c^4*log(tan(e + f*x) - 1i)*6i)/(a^2*f)","B"
921,1,103,114,4.766909,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^4/(a + a*tan(e + f*x)*1i)^3,x)","-\frac{\frac{6\,c^4\,\mathrm{tan}\left(e+f\,x\right)}{a^3}-\frac{c^4\,8{}\mathrm{i}}{3\,a^3}+\frac{c^4\,{\mathrm{tan}\left(e+f\,x\right)}^2\,6{}\mathrm{i}}{a^3}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+1\right)}+\frac{c^4\,\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{a^3\,f}","Not used",1,"(c^4*log(tan(e + f*x) - 1i)*1i)/(a^3*f) - ((6*c^4*tan(e + f*x))/a^3 - (c^4*8i)/(3*a^3) + (c^4*tan(e + f*x)^2*6i)/a^3)/(f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1))","B"
922,1,76,50,4.718367,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^4/(a + a*tan(e + f*x)*1i)^4,x)","-\frac{c^4\,\mathrm{tan}\left(e+f\,x\right)\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}-\mathrm{i}\right)}{a^4\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}+4\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,6{}\mathrm{i}-4\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"-(c^4*tan(e + f*x)*(tan(e + f*x)^2*1i - 1i))/(a^4*f*(4*tan(e + f*x)^3 - tan(e + f*x)^2*6i - 4*tan(e + f*x) + tan(e + f*x)^4*1i + 1i))","B"
923,1,98,87,4.873127,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^4/(a + a*tan(e + f*x)*1i)^5,x)","\frac{c^4\,\left(-5\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,5{}\mathrm{i}+5\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{10\,a^5\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5\,1{}\mathrm{i}+5\,{\mathrm{tan}\left(e+f\,x\right)}^4-{\mathrm{tan}\left(e+f\,x\right)}^3\,10{}\mathrm{i}-10\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,5{}\mathrm{i}+1\right)}","Not used",1,"(c^4*(5*tan(e + f*x) - tan(e + f*x)^2*5i - 5*tan(e + f*x)^3 + 1i))/(10*a^5*f*(tan(e + f*x)*5i - 10*tan(e + f*x)^2 - tan(e + f*x)^3*10i + 5*tan(e + f*x)^4 + tan(e + f*x)^5*1i + 1))","B"
924,1,82,95,4.724284,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4/(c - c*tan(e + f*x)*1i),x)","\frac{5\,a^4\,\mathrm{tan}\left(e+f\,x\right)}{c\,f}+\frac{a^4\,{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}}{2\,c\,f}+\frac{8\,a^4}{c\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{a^4\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,12{}\mathrm{i}}{c\,f}","Not used",1,"(5*a^4*tan(e + f*x))/(c*f) + (a^4*tan(e + f*x)^2*1i)/(2*c*f) + (8*a^4)/(c*f*(tan(e + f*x) + 1i)) - (a^4*log(tan(e + f*x) + 1i)*12i)/(c*f)","B"
925,1,61,71,4.623045,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c - c*tan(e + f*x)*1i),x)","\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)}{c\,f}+\frac{4\,a^3}{c\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{a^3\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,4{}\mathrm{i}}{c\,f}","Not used",1,"(a^3*tan(e + f*x))/(c*f) + (4*a^3)/(c*f*(tan(e + f*x) + 1i)) - (a^3*log(tan(e + f*x) + 1i)*4i)/(c*f)","B"
926,1,45,55,4.681062,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c - c*tan(e + f*x)*1i),x)","\frac{2\,a^2}{c\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{a^2\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c\,f}","Not used",1,"(2*a^2)/(c*f*(tan(e + f*x) + 1i)) - (a^2*log(tan(e + f*x) + 1i)*1i)/(c*f)","B"
927,1,19,23,4.697098,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c - c*tan(e + f*x)*1i),x)","\frac{a}{c\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"a/(c*f*(tan(e + f*x) + 1i))","B"
928,1,32,37,4.586514,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)),x)","\frac{\frac{\sin\left(2\,e+2\,f\,x\right)}{4\,a\,c}+\frac{f\,x}{2\,a\,c}}{f}","Not used",1,"(sin(2*e + 2*f*x)/(4*a*c) + (f*x)/(2*a*c))/f","B"
929,1,66,87,4.750531,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)),x)","\frac{3\,x}{8\,a^2\,c}-\frac{\frac{3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8}-\frac{\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}}{8}+\frac{1}{4}}{a^2\,c\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(3*x)/(8*a^2*c) - ((3*tan(e + f*x)^2)/8 - (tan(e + f*x)*3i)/8 + 1/4)/(a^2*c*f*(tan(e + f*x)*1i + 1)^2*(tan(e + f*x) + 1i))","B"
930,1,77,124,4.901260,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)),x)","\frac{x}{4\,a^3\,c}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{4}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{12}+\frac{1}{3}}{a^3\,c\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"x/(4*a^3*c) - (tan(e + f*x)^2/2 - (tan(e + f*x)*1i)/12 + (tan(e + f*x)^3*1i)/4 + 1/3)/(a^3*c*f*(tan(e + f*x)*1i + 1)^3*(tan(e + f*x) + 1i))","B"
931,1,90,101,4.682961,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4/(c - c*tan(e + f*x)*1i)^2,x)","-\frac{\frac{12\,a^4\,\mathrm{tan}\left(e+f\,x\right)}{c^2}+\frac{a^4\,8{}\mathrm{i}}{c^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}-1\right)}-\frac{a^4\,\mathrm{tan}\left(e+f\,x\right)}{c^2\,f}+\frac{a^4\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,6{}\mathrm{i}}{c^2\,f}","Not used",1,"(a^4*log(tan(e + f*x) + 1i)*6i)/(c^2*f) - (a^4*tan(e + f*x))/(c^2*f) - ((a^4*8i)/c^2 + (12*a^4*tan(e + f*x))/c^2)/(f*(tan(e + f*x)*2i + tan(e + f*x)^2 - 1))","B"
932,1,73,83,4.712626,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c - c*tan(e + f*x)*1i)^2,x)","-\frac{\frac{4\,a^3\,\mathrm{tan}\left(e+f\,x\right)}{c^2}+\frac{a^3\,2{}\mathrm{i}}{c^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}-1\right)}+\frac{a^3\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^2\,f}","Not used",1,"(a^3*log(tan(e + f*x) + 1i)*1i)/(c^2*f) - ((a^3*2i)/c^2 + (4*a^3*tan(e + f*x))/c^2)/(f*(tan(e + f*x)*2i + tan(e + f*x)^2 - 1))","B"
933,1,28,28,4.740146,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c - c*tan(e + f*x)*1i)^2,x)","-\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)}{c^2\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^2}","Not used",1,"-(a^2*tan(e + f*x))/(c^2*f*(tan(e + f*x) + 1i)^2)","B"
934,1,21,25,4.607563,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c - c*tan(e + f*x)*1i)^2,x)","\frac{a\,1{}\mathrm{i}}{2\,c^2\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^2}","Not used",1,"(a*1i)/(2*c^2*f*(tan(e + f*x) + 1i)^2)","B"
935,1,66,101,4.883843,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^2),x)","\frac{3\,x}{8\,a\,c^2}+\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}}{8}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)}{8}+\frac{1}{4}{}\mathrm{i}}{a\,c^2\,f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^2}","Not used",1,"(3*x)/(8*a*c^2) + ((tan(e + f*x)^2*3i)/8 - (3*tan(e + f*x))/8 + 1i/4)/(a*c^2*f*(tan(e + f*x)*1i + 1)*(tan(e + f*x) + 1i)^2)","B"
936,1,38,64,4.730309,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^2),x)","\frac{2\,\sin\left(2\,e+2\,f\,x\right)+\frac{\sin\left(4\,e+4\,f\,x\right)}{4}+3\,f\,x}{8\,a^2\,c^2\,f}","Not used",1,"(2*sin(2*e + 2*f*x) + sin(4*e + 4*f*x)/4 + 3*f*x)/(8*a^2*c^2*f)","B"
937,1,88,114,5.222071,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^2),x)","\frac{5\,x}{16\,a^3\,c^2}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,5{}\mathrm{i}}{16}+\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^3}{16}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,25{}\mathrm{i}}{48}+\frac{25\,\mathrm{tan}\left(e+f\,x\right)}{48}+\frac{1}{6}{}\mathrm{i}}{a^3\,c^2\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^2}","Not used",1,"(5*x)/(16*a^3*c^2) - ((25*tan(e + f*x))/48 + (tan(e + f*x)^2*25i)/48 + (5*tan(e + f*x)^3)/16 + (tan(e + f*x)^4*5i)/16 + 1i/6)/(a^3*c^2*f*(tan(e + f*x)*1i + 1)^3*(tan(e + f*x) + 1i)^2)","B"
938,1,139,154,4.745463,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^6/(c - c*tan(e + f*x)*1i)^3,x)","\frac{9\,a^6\,\mathrm{tan}\left(e+f\,x\right)}{c^3\,f}-\frac{\frac{80\,a^6\,{\mathrm{tan}\left(e+f\,x\right)}^2}{c^3}-\frac{152\,a^6}{3\,c^3}+\frac{a^6\,\mathrm{tan}\left(e+f\,x\right)\,120{}\mathrm{i}}{c^3}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}+\frac{a^6\,{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}}{2\,c^3\,f}-\frac{a^6\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,40{}\mathrm{i}}{c^3\,f}","Not used",1,"(9*a^6*tan(e + f*x))/(c^3*f) - ((a^6*tan(e + f*x)*120i)/c^3 - (152*a^6)/(3*c^3) + (80*a^6*tan(e + f*x)^2)/c^3)/(f*(3*tan(e + f*x) - tan(e + f*x)^2*3i - tan(e + f*x)^3 + 1i)) + (a^6*tan(e + f*x)^2*1i)/(2*c^3*f) - (a^6*log(tan(e + f*x) + 1i)*40i)/(c^3*f)","B"
939,1,138,134,5.691076,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^5/(c - c*tan(e + f*x)*1i)^3,x)","\frac{a^5\,\left(\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}+31\,\mathrm{tan}\left(e+f\,x\right)+24\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)-\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2\,24{}\mathrm{i}-8\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,21{}\mathrm{i}+3\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}+\frac{40}{3}{}\mathrm{i}\right)}{c^3\,f\,{\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"(a^5*(log(tan(e + f*x) + 1i)*8i + 31*tan(e + f*x) + 24*log(tan(e + f*x) + 1i)*tan(e + f*x) - log(tan(e + f*x) + 1i)*tan(e + f*x)^2*24i - 8*log(tan(e + f*x) + 1i)*tan(e + f*x)^3 - tan(e + f*x)^2*21i + 3*tan(e + f*x)^3 - tan(e + f*x)^4*1i + 40i/3))/(c^3*f*(tan(e + f*x)*1i - 1)^3)","B"
940,1,102,114,4.727384,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4/(c - c*tan(e + f*x)*1i)^3,x)","-\frac{\frac{6\,a^4\,{\mathrm{tan}\left(e+f\,x\right)}^2}{c^3}-\frac{8\,a^4}{3\,c^3}+\frac{a^4\,\mathrm{tan}\left(e+f\,x\right)\,6{}\mathrm{i}}{c^3}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{a^4\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^3\,f}","Not used",1,"- ((a^4*tan(e + f*x)*6i)/c^3 - (8*a^4)/(3*c^3) + (6*a^4*tan(e + f*x)^2)/c^3)/(f*(3*tan(e + f*x) - tan(e + f*x)^2*3i - tan(e + f*x)^3 + 1i)) - (a^4*log(tan(e + f*x) + 1i)*1i)/(c^3*f)","B"
941,1,55,50,4.714917,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c - c*tan(e + f*x)*1i)^3,x)","-\frac{a^3\,\left({\mathrm{tan}\left(e+f\,x\right)}^2-\frac{1}{3}\right)}{c^3\,f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"-(a^3*(tan(e + f*x)^2 - 1/3))/(c^3*f*(3*tan(e + f*x) - tan(e + f*x)^2*3i - tan(e + f*x)^3 + 1i))","B"
942,1,56,58,4.743765,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c - c*tan(e + f*x)*1i)^3,x)","\frac{a^2\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}\right)}{6\,c^3\,f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(a^2*(tan(e + f*x)*3i + 1))/(6*c^3*f*(3*tan(e + f*x) - tan(e + f*x)^2*3i - tan(e + f*x)^3 + 1i))","B"
943,1,20,25,4.638656,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c - c*tan(e + f*x)*1i)^3,x)","-\frac{a}{3\,c^3\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^3}","Not used",1,"-a/(3*c^3*f*(tan(e + f*x) + 1i)^3)","B"
944,1,77,131,4.830270,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^3),x)","\frac{x}{4\,a\,c^3}-\frac{-\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{4}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{12}+\frac{1}{3}}{a\,c^3\,f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^3}","Not used",1,"x/(4*a*c^3) - ((tan(e + f*x)*1i)/12 + tan(e + f*x)^2/2 - (tan(e + f*x)^3*1i)/4 + 1/3)/(a*c^3*f*(tan(e + f*x)*1i + 1)*(tan(e + f*x) + 1i)^3)","B"
945,1,87,161,5.249797,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^3),x)","\frac{5\,x}{16\,a^2\,c^3}-\frac{\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^4}{16}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,5{}\mathrm{i}}{16}+\frac{25\,{\mathrm{tan}\left(e+f\,x\right)}^2}{48}+\frac{\mathrm{tan}\left(e+f\,x\right)\,25{}\mathrm{i}}{48}+\frac{1}{6}}{a^2\,c^3\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^3}","Not used",1,"(5*x)/(16*a^2*c^3) - ((tan(e + f*x)*25i)/48 + (25*tan(e + f*x)^2)/48 + (tan(e + f*x)^3*5i)/16 + (5*tan(e + f*x)^4)/16 + 1/6)/(a^2*c^3*f*(tan(e + f*x)*1i + 1)^2*(tan(e + f*x) + 1i)^3)","B"
946,1,57,91,4.720221,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^3),x)","\frac{5\,x}{16\,a^3\,c^3}+\frac{{\cos\left(e+f\,x\right)}^6\,\left(\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^5}{16}+\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^3}{6}+\frac{11\,\mathrm{tan}\left(e+f\,x\right)}{16}\right)}{a^3\,c^3\,f}","Not used",1,"(5*x)/(16*a^3*c^3) + (cos(e + f*x)^6*((11*tan(e + f*x))/16 + (5*tan(e + f*x)^3)/6 + (5*tan(e + f*x)^5)/16))/(a^3*c^3*f)","B"
947,1,170,160,6.951083,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^6/(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^6\,\left(10\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)-60\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+10\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4-76\,{\mathrm{tan}\left(e+f\,x\right)}^2-4\,{\mathrm{tan}\left(e+f\,x\right)}^4+\frac{56}{3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,197{}\mathrm{i}}{3}-\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)\,40{}\mathrm{i}+\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3\,40{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^3\,34{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^5\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^4\,f\,{\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4}","Not used",1,"(a^6*(10*log(tan(e + f*x) + 1i) - (tan(e + f*x)*197i)/3 - log(tan(e + f*x) + 1i)*tan(e + f*x)*40i - 60*log(tan(e + f*x) + 1i)*tan(e + f*x)^2 + log(tan(e + f*x) + 1i)*tan(e + f*x)^3*40i + 10*log(tan(e + f*x) + 1i)*tan(e + f*x)^4 - 76*tan(e + f*x)^2 + tan(e + f*x)^3*34i - 4*tan(e + f*x)^4 + tan(e + f*x)^5*1i + 56/3)*1i)/(c^4*f*(tan(e + f*x)*1i - 1)^4)","B"
948,1,146,146,6.072217,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^5/(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^5\,\left(\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)-6\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4-12\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{8}{3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,32{}\mathrm{i}}{3}-\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}+\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3\,4{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^3\,8{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^4\,f\,{\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4}","Not used",1,"(a^5*(log(tan(e + f*x) + 1i) - (tan(e + f*x)*32i)/3 - log(tan(e + f*x) + 1i)*tan(e + f*x)*4i - 6*log(tan(e + f*x) + 1i)*tan(e + f*x)^2 + log(tan(e + f*x) + 1i)*tan(e + f*x)^3*4i + log(tan(e + f*x) + 1i)*tan(e + f*x)^4 - 12*tan(e + f*x)^2 + tan(e + f*x)^3*8i + 8/3)*1i)/(c^4*f*(tan(e + f*x)*1i - 1)^4)","B"
949,1,69,50,4.724733,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4/(c - c*tan(e + f*x)*1i)^4,x)","-\frac{a^4\,\mathrm{tan}\left(e+f\,x\right)\,\left({\mathrm{tan}\left(e+f\,x\right)}^2-1\right)}{c^4\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+{\mathrm{tan}\left(e+f\,x\right)}^3\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(e+f\,x\right)}^2-\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}+1\right)}","Not used",1,"-(a^4*tan(e + f*x)*(tan(e + f*x)^2 - 1))/(c^4*f*(tan(e + f*x)^3*4i - 6*tan(e + f*x)^2 - tan(e + f*x)*4i + tan(e + f*x)^4 + 1))","B"
950,1,75,87,4.774373,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^3\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}{6\,c^4\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+{\mathrm{tan}\left(e+f\,x\right)}^3\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(e+f\,x\right)}^2-\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}+1\right)}","Not used",1,"(a^3*(2*tan(e + f*x) + tan(e + f*x)^2*3i - 1i))/(6*c^4*f*(tan(e + f*x)^3*4i - 6*tan(e + f*x)^2 - tan(e + f*x)*4i + tan(e + f*x)^4 + 1))","B"
951,1,64,62,4.714286,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^2\,\left(2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}{6\,c^4\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+{\mathrm{tan}\left(e+f\,x\right)}^3\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(e+f\,x\right)}^2-\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}+1\right)}","Not used",1,"(a^2*(2*tan(e + f*x) - 1i))/(6*c^4*f*(tan(e + f*x)^3*4i - 6*tan(e + f*x)^2 - tan(e + f*x)*4i + tan(e + f*x)^4 + 1))","B"
952,1,21,25,4.647879,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c - c*tan(e + f*x)*1i)^4,x)","-\frac{a\,1{}\mathrm{i}}{4\,c^4\,f\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^4}","Not used",1,"-(a*1i)/(4*c^4*f*(tan(e + f*x) + 1i)^4)","B"
953,1,88,162,5.171301,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^4),x)","\frac{5\,x}{32\,a\,c^4}-\frac{-\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,5{}\mathrm{i}}{32}+\frac{15\,{\mathrm{tan}\left(e+f\,x\right)}^3}{32}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,35{}\mathrm{i}}{96}+\frac{5\,\mathrm{tan}\left(e+f\,x\right)}{32}+\frac{1}{3}{}\mathrm{i}}{a\,c^4\,f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^4}","Not used",1,"(5*x)/(32*a*c^4) - ((5*tan(e + f*x))/32 + (tan(e + f*x)^2*35i)/96 + (15*tan(e + f*x)^3)/32 - (tan(e + f*x)^4*5i)/32 + 1i/3)/(a*c^4*f*(tan(e + f*x)*1i + 1)*(tan(e + f*x) + 1i)^4)","B"
954,1,98,193,6.049025,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^4),x)","\frac{15\,x}{64\,a^2\,c^4}-\frac{\frac{15\,{\mathrm{tan}\left(e+f\,x\right)}^5}{64}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,15{}\mathrm{i}}{32}+\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^3}{32}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,25{}\mathrm{i}}{32}-\frac{17\,\mathrm{tan}\left(e+f\,x\right)}{64}+\frac{1}{4}{}\mathrm{i}}{a^2\,c^4\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^4}","Not used",1,"(15*x)/(64*a^2*c^4) - ((tan(e + f*x)^2*25i)/32 - (17*tan(e + f*x))/64 + (5*tan(e + f*x)^3)/32 + (tan(e + f*x)^4*15i)/32 + (15*tan(e + f*x)^5)/64 + 1i/4)/(a^2*c^4*f*(tan(e + f*x)*1i + 1)^2*(tan(e + f*x) + 1i)^4)","B"
955,1,109,223,7.097275,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^4),x)","\frac{35\,x}{128\,a^3\,c^4}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^6\,35{}\mathrm{i}}{128}-\frac{35\,{\mathrm{tan}\left(e+f\,x\right)}^5}{128}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,35{}\mathrm{i}}{48}-\frac{35\,{\mathrm{tan}\left(e+f\,x\right)}^3}{48}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,77{}\mathrm{i}}{128}-\frac{77\,\mathrm{tan}\left(e+f\,x\right)}{128}+\frac{1}{8}{}\mathrm{i}}{a^3\,c^4\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^4}","Not used",1,"(35*x)/(128*a^3*c^4) - ((tan(e + f*x)^2*77i)/128 - (77*tan(e + f*x))/128 - (35*tan(e + f*x)^3)/48 + (tan(e + f*x)^4*35i)/48 - (35*tan(e + f*x)^5)/128 + (tan(e + f*x)^6*35i)/128 + 1i/8)/(a^3*c^4*f*(tan(e + f*x)*1i + 1)^3*(tan(e + f*x) + 1i)^4)","B"
956,1,155,92,6.211621,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(1/2),x)","\frac{4\,a^3\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,321{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,132{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,23{}\mathrm{i}-35\,\sin\left(2\,e+2\,f\,x\right)-28\,\sin\left(4\,e+4\,f\,x\right)-7\,\sin\left(6\,e+6\,f\,x\right)+212{}\mathrm{i}\right)}{15\,f\,\left(15\,\cos\left(2\,e+2\,f\,x\right)+6\,\cos\left(4\,e+4\,f\,x\right)+\cos\left(6\,e+6\,f\,x\right)+10\right)}","Not used",1,"(4*a^3*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*321i + cos(4*e + 4*f*x)*132i + cos(6*e + 6*f*x)*23i - 35*sin(2*e + 2*f*x) - 28*sin(4*e + 4*f*x) - 7*sin(6*e + 6*f*x) + 212i))/(15*f*(15*cos(2*e + 2*f*x) + 6*cos(4*e + 4*f*x) + cos(6*e + 6*f*x) + 10))","B"
957,1,87,60,4.793109,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(1/2),x)","\frac{2\,a^2\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}-\sin\left(2\,e+2\,f\,x\right)+5{}\mathrm{i}\right)}{3\,f\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)}","Not used",1,"(2*a^2*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*5i - sin(2*e + 2*f*x) + 5i))/(3*f*(cos(2*e + 2*f*x) + 1))","B"
958,1,29,25,0.456027,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(1/2),x)","\frac{\sqrt{2}\,a\,\sqrt{\frac{c}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,2{}\mathrm{i}}{f}","Not used",1,"(2^(1/2)*a*(c/(exp(e*2i + f*x*2i) + 1))^(1/2)*2i)/f","B"
959,1,81,95,0.301879,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(1/2)/(a + a*tan(e + f*x)*1i),x)","\frac{\sqrt{2}\,\sqrt{-c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,1{}\mathrm{i}}{4\,a\,f}+\frac{c\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,a\,f\,\left(c+c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(2^(1/2)*(-c)^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*1i)/(4*a*f) + (c*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(2*a*f*(c + c*tan(e + f*x)*1i))","B"
960,1,132,138,4.854016,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(1/2)/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\frac{c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,5{}\mathrm{i}}{8\,a^2\,f}-\frac{c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,3{}\mathrm{i}}{16\,a^2\,f}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+4\,c^2}+\frac{\sqrt{2}\,\sqrt{-c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,3{}\mathrm{i}}{32\,a^2\,f}","Not used",1,"((c^2*(c - c*tan(e + f*x)*1i)^(1/2)*5i)/(8*a^2*f) - (c*(c - c*tan(e + f*x)*1i)^(3/2)*3i)/(16*a^2*f))/((c - c*tan(e + f*x)*1i)^2 - 4*c*(c - c*tan(e + f*x)*1i) + 4*c^2) + (2^(1/2)*(-c)^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*3i)/(32*a^2*f)","B"
961,1,179,181,4.978855,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(1/2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,11{}\mathrm{i}}{16\,a^3\,f}-\frac{c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,5{}\mathrm{i}}{12\,a^3\,f}+\frac{c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,5{}\mathrm{i}}{64\,a^3\,f}}{6\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+8\,c^3}+\frac{\sqrt{2}\,\sqrt{-c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,5{}\mathrm{i}}{128\,a^3\,f}","Not used",1,"((c^3*(c - c*tan(e + f*x)*1i)^(1/2)*11i)/(16*a^3*f) - (c^2*(c - c*tan(e + f*x)*1i)^(3/2)*5i)/(12*a^3*f) + (c*(c - c*tan(e + f*x)*1i)^(5/2)*5i)/(64*a^3*f))/(6*c*(c - c*tan(e + f*x)*1i)^2 - 12*c^2*(c - c*tan(e + f*x)*1i) - (c - c*tan(e + f*x)*1i)^3 + 8*c^3) + (2^(1/2)*(-c)^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*5i)/(128*a^3*f)","B"
962,1,95,94,8.621645,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{16\,a^3\,c\,\sqrt{c+\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,28{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,35{}\mathrm{i}+8{}\mathrm{i}\right)}{105\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(16*a^3*c*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(exp(e*2i + f*x*2i)*28i + exp(e*4i + f*x*4i)*35i + 8i))/(105*f*(exp(e*2i + f*x*2i) + 1)^3)","B"
963,1,168,62,6.787640,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{8\,a^2\,c\,\sqrt{\frac{2\,c}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{-e\,2{}\mathrm{i}-f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+\frac{{\mathrm{e}}^{-e\,4{}\mathrm{i}-f\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,7{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,5{}\mathrm{i}+2{}\mathrm{i}\right)}{15\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)\,\left(2\,{\mathrm{e}}^{-e\,2{}\mathrm{i}-f\,x\,2{}\mathrm{i}}+2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+\frac{{\mathrm{e}}^{-e\,4{}\mathrm{i}-f\,x\,4{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}}{2}+3\right)}","Not used",1,"(8*a^2*c*((2*c)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(exp(- e*2i - f*x*2i)*1i + (exp(- e*4i - f*x*4i)*1i)/2 + 1i/2)*(exp(e*2i + f*x*2i)*7i + exp(e*4i + f*x*4i)*5i + 2i))/(15*f*(exp(e*2i + f*x*2i)*1i + 1i)*(2*exp(- e*2i - f*x*2i) + 2*exp(e*2i + f*x*2i) + exp(- e*4i - f*x*4i)/2 + exp(e*4i + f*x*4i)/2 + 3))","B"
964,1,47,27,0.197598,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{\sqrt{2}\,a\,c\,\sqrt{\frac{c}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,4{}\mathrm{i}}{3\,\left(f+f\,{\mathrm{e}}^{e\,2{}\mathrm{i}}\,{\mathrm{e}}^{f\,x\,2{}\mathrm{i}}\right)}","Not used",1,"(2^(1/2)*a*c*(c/(exp(e*2i + f*x*2i) + 1))^(1/2)*4i)/(3*(f + f*exp(e*2i)*exp(f*x*2i)))","B"
965,1,83,95,0.287228,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i),x)","\frac{\sqrt{2}\,{\left(-c\right)}^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,1{}\mathrm{i}}{2\,a\,f}+\frac{c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{a\,f\,\left(c+c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(2^(1/2)*(-c)^(3/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*1i)/(2*a*f) + (c^2*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(a*f*(c + c*tan(e + f*x)*1i))","B"
966,1,134,146,4.887800,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\frac{c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{4\,a^2\,f}+\frac{c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,1{}\mathrm{i}}{8\,a^2\,f}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+4\,c^2}+\frac{\sqrt{2}\,{\left(-c\right)}^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,1{}\mathrm{i}}{16\,a^2\,f}","Not used",1,"((c^3*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(4*a^2*f) + (c^2*(c - c*tan(e + f*x)*1i)^(3/2)*1i)/(8*a^2*f))/((c - c*tan(e + f*x)*1i)^2 - 4*c*(c - c*tan(e + f*x)*1i) + 4*c^2) + (2^(1/2)*(-c)^(3/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*1i)/(16*a^2*f)","B"
967,1,181,193,4.937014,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{8\,a^3\,f}+\frac{c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,1{}\mathrm{i}}{6\,a^3\,f}-\frac{c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,1{}\mathrm{i}}{32\,a^3\,f}}{6\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+8\,c^3}+\frac{\sqrt{2}\,{\left(-c\right)}^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,1{}\mathrm{i}}{64\,a^3\,f}","Not used",1,"((c^4*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(8*a^3*f) + (c^3*(c - c*tan(e + f*x)*1i)^(3/2)*1i)/(6*a^3*f) - (c^2*(c - c*tan(e + f*x)*1i)^(5/2)*1i)/(32*a^3*f))/(6*c*(c - c*tan(e + f*x)*1i)^2 - 12*c^2*(c - c*tan(e + f*x)*1i) - (c - c*tan(e + f*x)*1i)^3 + 8*c^3) + (2^(1/2)*(-c)^(3/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*1i)/(64*a^3*f)","B"
968,1,97,94,8.225686,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(5/2),x)","\frac{32\,a^3\,c^2\,\sqrt{c+\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,36{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,63{}\mathrm{i}+8{}\mathrm{i}\right)}{315\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(32*a^3*c^2*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(exp(e*2i + f*x*2i)*36i + exp(e*4i + f*x*4i)*63i + 8i))/(315*f*(exp(e*2i + f*x*2i) + 1)^4)","B"
969,1,83,62,9.948377,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(5/2),x)","\frac{16\,a^2\,c^2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,7{}\mathrm{i}+2{}\mathrm{i}\right)\,\sqrt{c+\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}}{35\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(16*a^2*c^2*(exp(e*2i + f*x*2i)*7i + 2i)*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2))/(35*f*(exp(e*2i + f*x*2i) + 1)^3)","B"
970,1,120,27,0.313192,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\frac{a\,c^2\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(2\,\cos\left(2\,e+2\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}-\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{5\,f\,\left(4\,\cos\left(2\,e+2\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)+3\right)}","Not used",1,"(a*c^2*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(2*cos(2*e + 2*f*x) + cos(4*e + 4*f*x) - sin(2*e + 2*f*x)*2i - sin(4*e + 4*f*x)*1i + 1)*4i)/(5*f*(4*cos(2*e + 2*f*x) + cos(4*e + 4*f*x) + 3))","B"
971,1,109,125,0.354796,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i),x)","\frac{c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a\,f}-\frac{\sqrt{2}\,{\left(-c\right)}^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,3{}\mathrm{i}}{a\,f}+\frac{c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a\,f\,\left(c+c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(c^2*(c - c*tan(e + f*x)*1i)^(1/2)*2i)/(a*f) - (2^(1/2)*(-c)^(5/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*3i)/(a*f) + (c^3*(c - c*tan(e + f*x)*1i)^(1/2)*2i)/(a*f*(c + c*tan(e + f*x)*1i))","B"
972,1,135,146,0.278888,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{\frac{c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,3{}\mathrm{i}}{2\,a^2\,f}-\frac{c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,5{}\mathrm{i}}{4\,a^2\,f}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+4\,c^2}+\frac{\sqrt{2}\,{\left(-c\right)}^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,3{}\mathrm{i}}{8\,a^2\,f}","Not used",1,"(2^(1/2)*(-c)^(5/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*3i)/(8*a^2*f) - ((c^4*(c - c*tan(e + f*x)*1i)^(1/2)*3i)/(2*a^2*f) - (c^3*(c - c*tan(e + f*x)*1i)^(3/2)*5i)/(4*a^2*f))/((c - c*tan(e + f*x)*1i)^2 - 4*c*(c - c*tan(e + f*x)*1i) + 4*c^2)","B"
973,1,181,193,4.929521,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{-\frac{c^5\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{4\,a^3\,f}+\frac{c^4\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,1{}\mathrm{i}}{3\,a^3\,f}+\frac{c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,1{}\mathrm{i}}{16\,a^3\,f}}{6\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+8\,c^3}+\frac{\sqrt{2}\,{\left(-c\right)}^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,1{}\mathrm{i}}{32\,a^3\,f}","Not used",1,"((c^4*(c - c*tan(e + f*x)*1i)^(3/2)*1i)/(3*a^3*f) - (c^5*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(4*a^3*f) + (c^3*(c - c*tan(e + f*x)*1i)^(5/2)*1i)/(16*a^3*f))/(6*c*(c - c*tan(e + f*x)*1i)^2 - 12*c^2*(c - c*tan(e + f*x)*1i) - (c - c*tan(e + f*x)*1i)^3 + 8*c^3) + (2^(1/2)*(-c)^(5/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*1i)/(32*a^3*f)","B"
974,1,113,90,5.282015,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c - c*tan(e + f*x)*1i)^(1/2),x)","-\frac{2\,a^3\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,23{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}-7\,\sin\left(2\,e+2\,f\,x\right)-3\,\sin\left(4\,e+4\,f\,x\right)+20{}\mathrm{i}\right)}{3\,c\,f\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)}","Not used",1,"-(2*a^3*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*23i + cos(4*e + 4*f*x)*3i - 7*sin(2*e + 2*f*x) - 3*sin(4*e + 4*f*x) + 20i))/(3*c*f*(cos(2*e + 2*f*x) + 1))","B"
975,1,77,58,4.859718,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c - c*tan(e + f*x)*1i)^(1/2),x)","-\frac{2\,a^2\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-\sin\left(2\,e+2\,f\,x\right)+2{}\mathrm{i}\right)}{c\,f}","Not used",1,"-(2*a^2*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*1i - sin(2*e + 2*f*x) + 2i))/(c*f)","B"
976,1,65,25,4.803242,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c - c*tan(e + f*x)*1i)^(1/2),x)","\frac{a\,\left(\sin\left(2\,e+2\,f\,x\right)-{\cos\left(e+f\,x\right)}^2\,2{}\mathrm{i}\right)\,\sqrt{-\frac{c\,\left(-2\,{\cos\left(e+f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(e+f\,x\right)}^2}}}{c\,f}","Not used",1,"(a*(sin(2*e + 2*f*x) - cos(e + f*x)^2*2i)*(-(c*(sin(2*e + 2*f*x)*1i - 2*cos(e + f*x)^2))/(2*cos(e + f*x)^2))^(1/2))/(c*f)","B"
977,1,113,124,5.029819,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(1/2)),x)","-\frac{\frac{c\,1{}\mathrm{i}}{a\,f}-\frac{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{4\,a\,f}}{2\,c\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,3{}\mathrm{i}}{8\,a\,\sqrt{-c}\,f}","Not used",1,"- ((c*1i)/(a*f) - ((c - c*tan(e + f*x)*1i)*3i)/(4*a*f))/(2*c*(c - c*tan(e + f*x)*1i)^(1/2) - (c - c*tan(e + f*x)*1i)^(3/2)) - (2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*3i)/(8*a*(-c)^(1/2)*f)","B"
978,1,156,167,5.000972,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(1/2)),x)","-\frac{\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,15{}\mathrm{i}}{32\,a^2\,f}+\frac{c^2\,1{}\mathrm{i}}{a^2\,f}-\frac{c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,25{}\mathrm{i}}{16\,a^2\,f}}{-4\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}+{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}+4\,c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,15{}\mathrm{i}}{64\,a^2\,\sqrt{-c}\,f}","Not used",1,"- (((c - c*tan(e + f*x)*1i)^2*15i)/(32*a^2*f) + (c^2*1i)/(a^2*f) - (c*(c - c*tan(e + f*x)*1i)*25i)/(16*a^2*f))/((c - c*tan(e + f*x)*1i)^(5/2) - 4*c*(c - c*tan(e + f*x)*1i)^(3/2) + 4*c^2*(c - c*tan(e + f*x)*1i)^(1/2)) - (2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*15i)/(64*a^2*(-c)^(1/2)*f)","B"
979,1,202,210,5.014081,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(1/2)),x)","\frac{\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,35{}\mathrm{i}}{128\,a^3\,f}-\frac{c^3\,1{}\mathrm{i}}{a^3\,f}-\frac{c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,35{}\mathrm{i}}{24\,a^3\,f}+\frac{c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,77{}\mathrm{i}}{32\,a^3\,f}}{6\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}+8\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-12\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,35{}\mathrm{i}}{256\,a^3\,\sqrt{-c}\,f}","Not used",1,"(((c - c*tan(e + f*x)*1i)^3*35i)/(128*a^3*f) - (c^3*1i)/(a^3*f) - (c*(c - c*tan(e + f*x)*1i)^2*35i)/(24*a^3*f) + (c^2*(c - c*tan(e + f*x)*1i)*77i)/(32*a^3*f))/(6*c*(c - c*tan(e + f*x)*1i)^(5/2) - (c - c*tan(e + f*x)*1i)^(7/2) + 8*c^3*(c - c*tan(e + f*x)*1i)^(1/2) - 12*c^2*(c - c*tan(e + f*x)*1i)^(3/2)) - (2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*35i)/(256*a^3*(-c)^(1/2)*f)","B"
980,1,98,90,5.145763,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{2\,a^3\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}-\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-4\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)+8{}\mathrm{i}\right)}{3\,c^2\,f}","Not used",1,"(2*a^3*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*4i - cos(4*e + 4*f*x)*1i - 4*sin(2*e + 2*f*x) + sin(4*e + 4*f*x) + 8i))/(3*c^2*f)","B"
981,1,98,60,5.034392,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{a^2\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)+2{}\mathrm{i}\right)}{3\,c^2\,f}","Not used",1,"(a^2*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*1i - cos(4*e + 4*f*x)*1i - sin(2*e + 2*f*x) + sin(4*e + 4*f*x) + 2i))/(3*c^2*f)","B"
982,1,93,27,5.093994,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{a\,\sqrt{-\frac{c\,\left(-2\,{\cos\left(e+f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(e+f\,x\right)}^2}}\,\left(-{\cos\left(e+f\,x\right)}^2\,4{}\mathrm{i}-{\cos\left(2\,e+2\,f\,x\right)}^2\,2{}\mathrm{i}+2\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)+2{}\mathrm{i}\right)}{6\,c^2\,f}","Not used",1,"(a*(-(c*(sin(2*e + 2*f*x)*1i - 2*cos(e + f*x)^2))/(2*cos(e + f*x)^2))^(1/2)*(2*sin(2*e + 2*f*x) + sin(4*e + 4*f*x) - cos(2*e + 2*f*x)^2*2i - cos(e + f*x)^2*4i + 2i))/(6*c^2*f)","B"
983,1,139,156,0.490464,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(3/2)),x)","-\frac{\frac{c\,1{}\mathrm{i}}{3\,a\,f}+\frac{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{6\,a\,f}-\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,5{}\mathrm{i}}{8\,a\,c\,f}}{2\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,5{}\mathrm{i}}{16\,a\,{\left(-c\right)}^{3/2}\,f}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*5i)/(16*a*(-c)^(3/2)*f) - ((c*1i)/(3*a*f) + ((c - c*tan(e + f*x)*1i)*5i)/(6*a*f) - ((c - c*tan(e + f*x)*1i)^2*5i)/(8*a*c*f))/(2*c*(c - c*tan(e + f*x)*1i)^(3/2) - (c - c*tan(e + f*x)*1i)^(5/2))","B"
984,1,182,199,5.191596,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(3/2)),x)","-\frac{-\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,175{}\mathrm{i}}{96\,a^2\,f}+\frac{c^2\,1{}\mathrm{i}}{3\,a^2\,f}+\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,35{}\mathrm{i}}{64\,a^2\,c\,f}+\frac{c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{6\,a^2\,f}}{-4\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}+{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}+4\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,35{}\mathrm{i}}{128\,a^2\,{\left(-c\right)}^{3/2}\,f}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*35i)/(128*a^2*(-c)^(3/2)*f) - ((c^2*1i)/(3*a^2*f) - ((c - c*tan(e + f*x)*1i)^2*175i)/(96*a^2*f) + ((c - c*tan(e + f*x)*1i)^3*35i)/(64*a^2*c*f) + (c*(c - c*tan(e + f*x)*1i)*7i)/(6*a^2*f))/((c - c*tan(e + f*x)*1i)^(7/2) - 4*c*(c - c*tan(e + f*x)*1i)^(5/2) + 4*c^2*(c - c*tan(e + f*x)*1i)^(3/2))","B"
985,1,229,242,5.071271,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(3/2)),x)","-\frac{\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,35{}\mathrm{i}}{16\,a^3\,f}+\frac{c^3\,1{}\mathrm{i}}{3\,a^3\,f}-\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4\,105{}\mathrm{i}}{256\,a^3\,c\,f}-\frac{c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,231{}\mathrm{i}}{64\,a^3\,f}+\frac{c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,a^3\,f}}{6\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}+8\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}-12\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,105{}\mathrm{i}}{512\,a^3\,{\left(-c\right)}^{3/2}\,f}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*105i)/(512*a^3*(-c)^(3/2)*f) - (((c - c*tan(e + f*x)*1i)^3*35i)/(16*a^3*f) + (c^3*1i)/(3*a^3*f) - ((c - c*tan(e + f*x)*1i)^4*105i)/(256*a^3*c*f) - (c*(c - c*tan(e + f*x)*1i)^2*231i)/(64*a^3*f) + (c^2*(c - c*tan(e + f*x)*1i)*3i)/(2*a^3*f))/(6*c*(c - c*tan(e + f*x)*1i)^(7/2) - (c - c*tan(e + f*x)*1i)^(9/2) + 8*c^3*(c - c*tan(e + f*x)*1i)^(3/2) - 12*c^2*(c - c*tan(e + f*x)*1i)^(5/2))","B"
986,1,121,92,5.456231,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c - c*tan(e + f*x)*1i)^(5/2),x)","-\frac{a^3\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}-\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}-4\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)-3\,\sin\left(6\,e+6\,f\,x\right)+8{}\mathrm{i}\right)}{15\,c^3\,f}","Not used",1,"-(a^3*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*4i - cos(4*e + 4*f*x)*1i + cos(6*e + 6*f*x)*3i - 4*sin(2*e + 2*f*x) + sin(4*e + 4*f*x) - 3*sin(6*e + 6*f*x) + 8i))/(15*c^3*f)","B"
987,1,123,62,5.551949,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c - c*tan(e + f*x)*1i)^(5/2),x)","\frac{a^2\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-\cos\left(4\,e+4\,f\,x\right)\,4{}\mathrm{i}-\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}-\sin\left(2\,e+2\,f\,x\right)+4\,\sin\left(4\,e+4\,f\,x\right)+3\,\sin\left(6\,e+6\,f\,x\right)+2{}\mathrm{i}\right)}{30\,c^3\,f}","Not used",1,"(a^2*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*1i - cos(4*e + 4*f*x)*4i - cos(6*e + 6*f*x)*3i - sin(2*e + 2*f*x) + 4*sin(4*e + 4*f*x) + 3*sin(6*e + 6*f*x) + 2i))/(30*c^3*f)","B"
988,1,118,27,5.493105,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c - c*tan(e + f*x)*1i)^(5/2),x)","\frac{a\,\sqrt{-\frac{c\,\left(-2\,{\cos\left(e+f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(e+f\,x\right)}^2}}\,\left(-{\cos\left(e+f\,x\right)}^2\,6{}\mathrm{i}-{\cos\left(2\,e+2\,f\,x\right)}^2\,6{}\mathrm{i}-{\cos\left(3\,e+3\,f\,x\right)}^2\,2{}\mathrm{i}+3\,\sin\left(2\,e+2\,f\,x\right)+3\,\sin\left(4\,e+4\,f\,x\right)+\sin\left(6\,e+6\,f\,x\right)+6{}\mathrm{i}\right)}{20\,c^3\,f}","Not used",1,"(a*(-(c*(sin(2*e + 2*f*x)*1i - 2*cos(e + f*x)^2))/(2*cos(e + f*x)^2))^(1/2)*(3*sin(2*e + 2*f*x) + 3*sin(4*e + 4*f*x) + sin(6*e + 6*f*x) - cos(2*e + 2*f*x)^2*6i - cos(3*e + 3*f*x)^2*2i - cos(e + f*x)^2*6i + 6i))/(20*c^3*f)","B"
989,1,165,188,0.635631,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(5/2)),x)","-\frac{\frac{c\,1{}\mathrm{i}}{5\,a\,f}+\frac{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{30\,a\,f}+\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,7{}\mathrm{i}}{12\,a\,c\,f}-\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,7{}\mathrm{i}}{16\,a\,c^2\,f}}{2\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,7{}\mathrm{i}}{32\,a\,{\left(-c\right)}^{5/2}\,f}","Not used",1,"- ((c*1i)/(5*a*f) + ((c - c*tan(e + f*x)*1i)*7i)/(30*a*f) + ((c - c*tan(e + f*x)*1i)^2*7i)/(12*a*c*f) - ((c - c*tan(e + f*x)*1i)^3*7i)/(16*a*c^2*f))/(2*c*(c - c*tan(e + f*x)*1i)^(5/2) - (c - c*tan(e + f*x)*1i)^(7/2)) - (2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*7i)/(32*a*(-c)^(5/2)*f)","B"
990,1,208,231,5.641178,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(5/2)),x)","-\frac{\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,21{}\mathrm{i}}{20\,a^2\,f}+\frac{c^2\,1{}\mathrm{i}}{5\,a^2\,f}-\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,105{}\mathrm{i}}{64\,a^2\,c\,f}+\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4\,63{}\mathrm{i}}{128\,a^2\,c^2\,f}+\frac{c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{10\,a^2\,f}}{-4\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}+{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}+4\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,63{}\mathrm{i}}{256\,a^2\,{\left(-c\right)}^{5/2}\,f}","Not used",1,"- (((c - c*tan(e + f*x)*1i)^2*21i)/(20*a^2*f) + (c^2*1i)/(5*a^2*f) - ((c - c*tan(e + f*x)*1i)^3*105i)/(64*a^2*c*f) + ((c - c*tan(e + f*x)*1i)^4*63i)/(128*a^2*c^2*f) + (c*(c - c*tan(e + f*x)*1i)*3i)/(10*a^2*f))/((c - c*tan(e + f*x)*1i)^(9/2) - 4*c*(c - c*tan(e + f*x)*1i)^(7/2) + 4*c^2*(c - c*tan(e + f*x)*1i)^(5/2)) - (2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*63i)/(256*a^2*(-c)^(5/2)*f)","B"
991,1,255,274,5.140060,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(5/2)),x)","-\frac{-\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,2541{}\mathrm{i}}{640\,a^3\,f}+\frac{c^3\,1{}\mathrm{i}}{5\,a^3\,f}+\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4\,77{}\mathrm{i}}{32\,a^3\,c\,f}-\frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^5\,231{}\mathrm{i}}{512\,a^3\,c^2\,f}+\frac{c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,33{}\mathrm{i}}{20\,a^3\,f}+\frac{c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,11{}\mathrm{i}}{30\,a^3\,f}}{6\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}-{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{11/2}+8\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-12\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,231{}\mathrm{i}}{1024\,a^3\,{\left(-c\right)}^{5/2}\,f}","Not used",1,"- ((c^3*1i)/(5*a^3*f) - ((c - c*tan(e + f*x)*1i)^3*2541i)/(640*a^3*f) + ((c - c*tan(e + f*x)*1i)^4*77i)/(32*a^3*c*f) - ((c - c*tan(e + f*x)*1i)^5*231i)/(512*a^3*c^2*f) + (c*(c - c*tan(e + f*x)*1i)^2*33i)/(20*a^3*f) + (c^2*(c - c*tan(e + f*x)*1i)*11i)/(30*a^3*f))/(6*c*(c - c*tan(e + f*x)*1i)^(9/2) - (c - c*tan(e + f*x)*1i)^(11/2) + 8*c^3*(c - c*tan(e + f*x)*1i)^(5/2) - 12*c^2*(c - c*tan(e + f*x)*1i)^(7/2)) - (2^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*231i)/(1024*a^3*(-c)^(5/2)*f)","B"
992,0,-1,154,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(1/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
993,0,-1,106,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(1/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
994,1,62,63,5.769913,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2),x)","-\frac{\sqrt{a}\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{a}\,\left(\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{c}\right)}\right)\,4{}\mathrm{i}}{f}","Not used",1,"-(a^(1/2)*c^(1/2)*atan((c^(1/2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/(a^(1/2)*((c - c*tan(e + f*x)*1i)^(1/2) - c^(1/2))))*4i)/f","B"
995,1,34,41,0.709621,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(1/2)/(a + a*tan(e + f*x)*1i)^(1/2),x)","\frac{\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{f\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}","Not used",1,"((c - c*tan(e + f*x)*1i)^(1/2)*1i)/(f*(a + a*tan(e + f*x)*1i)^(1/2))","B"
996,1,135,90,6.314312,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(1/2)/(a + a*tan(e + f*x)*1i)^(3/2),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+4\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)+3{}\mathrm{i}\right)}{12\,a^2\,f}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*4i + cos(4*e + 4*f*x)*1i + 4*sin(2*e + 2*f*x) + sin(4*e + 4*f*x) + 3i))/(12*a^2*f)","B"
997,1,160,136,6.150129,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(1/2)/(a + a*tan(e + f*x)*1i)^(5/2),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,25{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,13{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}+25\,\sin\left(2\,e+2\,f\,x\right)+13\,\sin\left(4\,e+4\,f\,x\right)+3\,\sin\left(6\,e+6\,f\,x\right)+15{}\mathrm{i}\right)}{120\,a^3\,f}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*25i + cos(4*e + 4*f*x)*13i + cos(6*e + 6*f*x)*3i + 25*sin(2*e + 2*f*x) + 13*sin(4*e + 4*f*x) + 3*sin(6*e + 6*f*x) + 15i))/(120*a^3*f)","B"
998,1,183,182,6.729586,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(1/2)/(a + a*tan(e + f*x)*1i)^(7/2),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,70{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,56{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,26{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,5{}\mathrm{i}+70\,\sin\left(2\,e+2\,f\,x\right)+56\,\sin\left(4\,e+4\,f\,x\right)+26\,\sin\left(6\,e+6\,f\,x\right)+5\,\sin\left(8\,e+8\,f\,x\right)+35{}\mathrm{i}\right)}{560\,a^4\,f}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*70i + cos(4*e + 4*f*x)*56i + cos(6*e + 6*f*x)*26i + cos(8*e + 8*f*x)*5i + 70*sin(2*e + 2*f*x) + 56*sin(4*e + 4*f*x) + 26*sin(6*e + 6*f*x) + 5*sin(8*e + 8*f*x) + 35i))/(560*a^4*f)","B"
999,0,-1,159,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1000,0,-1,113,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1001,0,-1,106,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1002,0,-1,106,0.000000,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
1003,1,62,43,5.523111,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^(3/2),x)","-\frac{c\,\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,\sqrt{-c\,\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}}{3\,a\,f\,\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\sqrt{a\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}}","Not used",1,"-(c*(tan(e + f*x)*1i - 1)*(-c*(tan(e + f*x)*1i - 1))^(1/2))/(3*a*f*(tan(e + f*x) - 1i)*(a*(tan(e + f*x)*1i + 1))^(1/2))","B"
1004,1,159,90,6.104946,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^(5/2),x)","\frac{c\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(5\,\sin\left(2\,e+2\,f\,x\right)+8\,\sin\left(4\,e+4\,f\,x\right)+3\,\sin\left(6\,e+6\,f\,x\right)+\cos\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,8{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}\right)}{60\,a^3\,f}","Not used",1,"(c*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*5i + cos(4*e + 4*f*x)*8i + cos(6*e + 6*f*x)*3i + 5*sin(2*e + 2*f*x) + 8*sin(4*e + 4*f*x) + 3*sin(6*e + 6*f*x)))/(60*a^3*f)","B"
1005,1,182,136,6.513538,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^(7/2),x)","\frac{c\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(35\,\sin\left(2\,e+2\,f\,x\right)+77\,\sin\left(4\,e+4\,f\,x\right)+57\,\sin\left(6\,e+6\,f\,x\right)+15\,\sin\left(8\,e+8\,f\,x\right)+\cos\left(2\,e+2\,f\,x\right)\,35{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,77{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,57{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,15{}\mathrm{i}\right)}{840\,a^4\,f}","Not used",1,"(c*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*35i + cos(4*e + 4*f*x)*77i + cos(6*e + 6*f*x)*57i + cos(8*e + 8*f*x)*15i + 35*sin(2*e + 2*f*x) + 77*sin(4*e + 4*f*x) + 57*sin(6*e + 6*f*x) + 15*sin(8*e + 8*f*x)))/(840*a^4*f)","B"
1006,1,205,182,7.300075,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(3/2)/(a + a*tan(e + f*x)*1i)^(9/2),x)","\frac{c\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(105\,\sin\left(2\,e+2\,f\,x\right)+294\,\sin\left(4\,e+4\,f\,x\right)+324\,\sin\left(6\,e+6\,f\,x\right)+170\,\sin\left(8\,e+8\,f\,x\right)+35\,\sin\left(10\,e+10\,f\,x\right)+\cos\left(2\,e+2\,f\,x\right)\,105{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,294{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,324{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,170{}\mathrm{i}+\cos\left(10\,e+10\,f\,x\right)\,35{}\mathrm{i}\right)}{5040\,a^5\,f}","Not used",1,"(c*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*105i + cos(4*e + 4*f*x)*294i + cos(6*e + 6*f*x)*324i + cos(8*e + 8*f*x)*170i + cos(10*e + 10*f*x)*35i + 105*sin(2*e + 2*f*x) + 294*sin(4*e + 4*f*x) + 324*sin(6*e + 6*f*x) + 170*sin(8*e + 8*f*x) + 35*sin(10*e + 10*f*x)))/(5040*a^5*f)","B"
1007,0,-1,168,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1008,0,-1,159,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1009,0,-1,154,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1010,0,-1,153,0.000000,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
1011,0,-1,155,0.000000,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
1012,1,65,43,7.764980,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(5/2),x)","\frac{c^2\,{\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}^5\,\sqrt{a\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}\,\sqrt{-c\,\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}}{5\,a^3\,f\,{\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}^3}","Not used",1,"(c^2*(tan(e + f*x) + 1i)^5*(a*(tan(e + f*x)*1i + 1))^(1/2)*(-c*(tan(e + f*x)*1i - 1))^(1/2))/(5*a^3*f*(tan(e + f*x)^2 + 1)^3)","B"
1013,1,161,90,6.469679,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(7/2),x)","\frac{c^2\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(7\,\sin\left(4\,e+4\,f\,x\right)+12\,\sin\left(6\,e+6\,f\,x\right)+5\,\sin\left(8\,e+8\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)\,7{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,12{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,5{}\mathrm{i}\right)}{140\,a^4\,f}","Not used",1,"(c^2*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(4*e + 4*f*x)*7i + cos(6*e + 6*f*x)*12i + cos(8*e + 8*f*x)*5i + 7*sin(4*e + 4*f*x) + 12*sin(6*e + 6*f*x) + 5*sin(8*e + 8*f*x)))/(140*a^4*f)","B"
1014,1,184,136,7.330454,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(9/2),x)","\frac{c^2\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(63\,\sin\left(4\,e+4\,f\,x\right)+153\,\sin\left(6\,e+6\,f\,x\right)+125\,\sin\left(8\,e+8\,f\,x\right)+35\,\sin\left(10\,e+10\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)\,63{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,153{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,125{}\mathrm{i}+\cos\left(10\,e+10\,f\,x\right)\,35{}\mathrm{i}\right)}{2520\,a^5\,f}","Not used",1,"(c^2*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(4*e + 4*f*x)*63i + cos(6*e + 6*f*x)*153i + cos(8*e + 8*f*x)*125i + cos(10*e + 10*f*x)*35i + 63*sin(4*e + 4*f*x) + 153*sin(6*e + 6*f*x) + 125*sin(8*e + 8*f*x) + 35*sin(10*e + 10*f*x)))/(2520*a^5*f)","B"
1015,1,207,182,8.148244,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^(5/2)/(a + a*tan(e + f*x)*1i)^(11/2),x)","\frac{c^2\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(231\,\sin\left(4\,e+4\,f\,x\right)+726\,\sin\left(6\,e+6\,f\,x\right)+880\,\sin\left(8\,e+8\,f\,x\right)+490\,\sin\left(10\,e+10\,f\,x\right)+105\,\sin\left(12\,e+12\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)\,231{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,726{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,880{}\mathrm{i}+\cos\left(10\,e+10\,f\,x\right)\,490{}\mathrm{i}+\cos\left(12\,e+12\,f\,x\right)\,105{}\mathrm{i}\right)}{18480\,a^6\,f}","Not used",1,"(c^2*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(4*e + 4*f*x)*231i + cos(6*e + 6*f*x)*726i + cos(8*e + 8*f*x)*880i + cos(10*e + 10*f*x)*490i + cos(12*e + 12*f*x)*105i + 231*sin(4*e + 4*f*x) + 726*sin(6*e + 6*f*x) + 880*sin(8*e + 8*f*x) + 490*sin(10*e + 10*f*x) + 105*sin(12*e + 12*f*x)))/(18480*a^6*f)","B"
1016,0,-1,204,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(7/2)/(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(7/2)/(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
1017,0,-1,153,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)/(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)/(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
1018,0,-1,106,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)/(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)/(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
1019,1,49,41,5.377289,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)/(c - c*tan(e + f*x)*1i)^(1/2),x)","\frac{\sqrt{a\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}\,\sqrt{-c\,\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}}{c\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"((a*(tan(e + f*x)*1i + 1))^(1/2)*(-c*(tan(e + f*x)*1i - 1))^(1/2))/(c*f*(tan(e + f*x) + 1i))","B"
1020,1,112,44,5.479936,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2)),x)","\frac{\left(\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+\sin\left(2\,e+2\,f\,x\right)-\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{2\,a\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"((cos(2*e + 2*f*x)*1i + sin(2*e + 2*f*x) - 1i)*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))/(2*a*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1021,1,135,94,5.627173,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(1/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+6\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)-3{}\mathrm{i}\right)}{12\,a^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*6i + cos(4*e + 4*f*x)*1i + 6*sin(2*e + 2*f*x) + sin(4*e + 4*f*x) - 3i))/(12*a^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1022,1,158,140,5.962852,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(1/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,15{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,5{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,1{}\mathrm{i}+15\,\sin\left(2\,e+2\,f\,x\right)+5\,\sin\left(4\,e+4\,f\,x\right)+\sin\left(6\,e+6\,f\,x\right)-5{}\mathrm{i}\right)}{40\,a^3\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*15i + cos(4*e + 4*f*x)*5i + cos(6*e + 6*f*x)*1i + 15*sin(2*e + 2*f*x) + 5*sin(4*e + 4*f*x) + sin(6*e + 6*f*x) - 5i))/(40*a^3*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1023,1,183,186,6.420597,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(1/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,140{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,70{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,28{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,5{}\mathrm{i}+140\,\sin\left(2\,e+2\,f\,x\right)+70\,\sin\left(4\,e+4\,f\,x\right)+28\,\sin\left(6\,e+6\,f\,x\right)+5\,\sin\left(8\,e+8\,f\,x\right)-35{}\mathrm{i}\right)}{560\,a^4\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*140i + cos(4*e + 4*f*x)*70i + cos(6*e + 6*f*x)*28i + cos(8*e + 8*f*x)*5i + 140*sin(2*e + 2*f*x) + 70*sin(4*e + 4*f*x) + 28*sin(6*e + 6*f*x) + 5*sin(8*e + 8*f*x) - 35i))/(560*a^4*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1024,0,-1,255,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(9/2)/(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(9/2)/(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1025,0,-1,204,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(7/2)/(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(7/2)/(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1026,0,-1,155,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)/(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)/(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1027,1,108,43,0.767753,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)/(c - c*tan(e + f*x)*1i)^(3/2),x)","-\frac{\sqrt{2}\,a\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,1{}\mathrm{i}}{6\,c\,f\,\sqrt{\frac{c}{\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}}}}","Not used",1,"-(2^(1/2)*a*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*1i)/(6*c*f*(c/(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))^(1/2))","B"
1028,1,114,90,5.051020,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)/(c - c*tan(e + f*x)*1i)^(3/2),x)","-\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-\sin\left(2\,e+2\,f\,x\right)+3{}\mathrm{i}\right)}{6\,c\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*1i - sin(2*e + 2*f*x) + 3i))/(6*c*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1029,1,117,137,0.392935,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(3/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+2\,\sin\left(2\,e+2\,f\,x\right)-3{}\mathrm{i}\right)}{6\,a\,c\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*1i + 2*sin(2*e + 2*f*x) - 3i))/(6*a*c*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1030,1,138,101,5.542350,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(3/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,8{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+10\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)-9{}\mathrm{i}\right)}{24\,a^2\,c\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*8i + cos(4*e + 4*f*x)*1i + 10*sin(2*e + 2*f*x) + sin(4*e + 4*f*x) - 9i))/(24*a^2*c*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1031,1,163,147,5.911450,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(3/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,85{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,20{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}+95\,\sin\left(2\,e+2\,f\,x\right)+20\,\sin\left(4\,e+4\,f\,x\right)+3\,\sin\left(6\,e+6\,f\,x\right)-60{}\mathrm{i}\right)}{240\,a^3\,c\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*85i + cos(4*e + 4*f*x)*20i + cos(6*e + 6*f*x)*3i + 95*sin(2*e + 2*f*x) + 20*sin(4*e + 4*f*x) + 3*sin(6*e + 6*f*x) - 60i))/(240*a^3*c*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1032,1,186,193,6.524902,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(3/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,203{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,70{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,21{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,3{}\mathrm{i}+217\,\sin\left(2\,e+2\,f\,x\right)+70\,\sin\left(4\,e+4\,f\,x\right)+21\,\sin\left(6\,e+6\,f\,x\right)+3\,\sin\left(8\,e+8\,f\,x\right)-105{}\mathrm{i}\right)}{672\,a^4\,c\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*203i + cos(4*e + 4*f*x)*70i + cos(6*e + 6*f*x)*21i + cos(8*e + 8*f*x)*3i + 217*sin(2*e + 2*f*x) + 70*sin(4*e + 4*f*x) + 21*sin(6*e + 6*f*x) + 3*sin(8*e + 8*f*x) - 105i))/(672*a^4*c*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1033,0,-1,304,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(11/2)/(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{11/2}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(11/2)/(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1034,0,-1,253,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(9/2)/(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(9/2)/(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1035,0,-1,204,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(7/2)/(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(7/2)/(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1036,1,114,43,5.290680,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)/(c - c*tan(e + f*x)*1i)^(5/2),x)","-\frac{a^2\,\left(\cos\left(4\,e+4\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,1{}\mathrm{i}}{5\,c^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-(a^2*(cos(4*e + 4*f*x) + sin(4*e + 4*f*x)*1i)*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*1i)/(5*c^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1037,1,136,90,5.467268,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)/(c - c*tan(e + f*x)*1i)^(5/2),x)","-\frac{a\,\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(-5\,\sin\left(2\,e+2\,f\,x\right)-3\,\sin\left(4\,e+4\,f\,x\right)+\cos\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}\right)}{30\,c^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-(a*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*5i + cos(4*e + 4*f*x)*3i - 5*sin(2*e + 2*f*x) - 3*sin(4*e + 4*f*x)))/(30*c^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1038,1,137,136,5.476637,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)/(c - c*tan(e + f*x)*1i)^(5/2),x)","-\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,10{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}-10\,\sin\left(2\,e+2\,f\,x\right)-3\,\sin\left(4\,e+4\,f\,x\right)+15{}\mathrm{i}\right)}{60\,c^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*10i + cos(4*e + 4*f*x)*3i - 10*sin(2*e + 2*f*x) - 3*sin(4*e + 4*f*x) + 15i))/(60*c^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1039,1,128,186,5.356157,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(5/2)),x)","-\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-10\,\sin\left(2\,e+2\,f\,x\right)-\sin\left(4\,e+4\,f\,x\right)+15{}\mathrm{i}\right)}{40\,a\,c^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(4*e + 4*f*x)*1i - 10*sin(2*e + 2*f*x) - sin(4*e + 4*f*x) + 15i))/(40*a*c^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1040,1,140,234,5.529341,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(5/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,20{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+40\,\sin\left(2\,e+2\,f\,x\right)+4\,\sin\left(4\,e+4\,f\,x\right)-45{}\mathrm{i}\right)}{120\,a^2\,c^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*20i + cos(4*e + 4*f*x)*1i + 40*sin(2*e + 2*f*x) + 4*sin(4*e + 4*f*x) - 45i))/(120*a^2*c^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1041,1,163,154,6.127414,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(5/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,125{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,22{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}+175\,\sin\left(2\,e+2\,f\,x\right)+28\,\sin\left(4\,e+4\,f\,x\right)+3\,\sin\left(6\,e+6\,f\,x\right)-150{}\mathrm{i}\right)}{480\,a^3\,c^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*125i + cos(4*e + 4*f*x)*22i + cos(6*e + 6*f*x)*3i + 175*sin(2*e + 2*f*x) + 28*sin(4*e + 4*f*x) + 3*sin(6*e + 6*f*x) - 150i))/(480*a^3*c^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1042,1,186,200,6.702817,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(5/2)),x)","\frac{\sqrt{\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(\cos\left(2\,e+2\,f\,x\right)\,630{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,168{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,42{}\mathrm{i}+\cos\left(8\,e+8\,f\,x\right)\,5{}\mathrm{i}+770\,\sin\left(2\,e+2\,f\,x\right)+182\,\sin\left(4\,e+4\,f\,x\right)+42\,\sin\left(6\,e+6\,f\,x\right)+5\,\sin\left(8\,e+8\,f\,x\right)-525{}\mathrm{i}\right)}{2240\,a^4\,c^2\,f\,\sqrt{\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(cos(2*e + 2*f*x)*630i + cos(4*e + 4*f*x)*168i + cos(6*e + 6*f*x)*42i + cos(8*e + 8*f*x)*5i + 770*sin(2*e + 2*f*x) + 182*sin(4*e + 4*f*x) + 42*sin(6*e + 6*f*x) + 5*sin(8*e + 8*f*x) - 525i))/(2240*a^4*c^2*f*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
1043,1,229,134,9.226840,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^4*(c - c*tan(e + f*x)*1i)^n,x)","-\frac{{\mathrm{e}}^{-e\,3{}\mathrm{i}-f\,x\,3{}\mathrm{i}}\,{\left(c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}\right)}^n\,\left(\frac{48\,a^4}{f\,n\,\left(n^3\,1{}\mathrm{i}+n^2\,6{}\mathrm{i}+n\,11{}\mathrm{i}+6{}\mathrm{i}\right)}+\frac{48\,a^4\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(n+3\right)}{f\,n\,\left(n^3\,1{}\mathrm{i}+n^2\,6{}\mathrm{i}+n\,11{}\mathrm{i}+6{}\mathrm{i}\right)}+\frac{24\,a^4\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(n^2+5\,n+6\right)}{f\,n\,\left(n^3\,1{}\mathrm{i}+n^2\,6{}\mathrm{i}+n\,11{}\mathrm{i}+6{}\mathrm{i}\right)}+\frac{8\,a^4\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(n^3+6\,n^2+11\,n+6\right)}{f\,n\,\left(n^3\,1{}\mathrm{i}+n^2\,6{}\mathrm{i}+n\,11{}\mathrm{i}+6{}\mathrm{i}\right)}\right)}{8\,{\cos\left(e+f\,x\right)}^3}","Not used",1,"-(exp(- e*3i - f*x*3i)*(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^n*((48*a^4)/(f*n*(n*11i + n^2*6i + n^3*1i + 6i)) + (48*a^4*exp(e*2i + f*x*2i)*(n + 3))/(f*n*(n*11i + n^2*6i + n^3*1i + 6i)) + (24*a^4*exp(e*4i + f*x*4i)*(5*n + n^2 + 6))/(f*n*(n*11i + n^2*6i + n^3*1i + 6i)) + (8*a^4*exp(e*6i + f*x*6i)*(11*n + 6*n^2 + n^3 + 6))/(f*n*(n*11i + n^2*6i + n^3*1i + 6i))))/(8*cos(e + f*x)^3)","B"
1044,1,230,99,1.682763,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^n,x)","\frac{2\,a^3\,{\left(\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}\right)}^n\,\left(n\,7{}\mathrm{i}+\cos\left(2\,e+2\,f\,x\right)\,16{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,4{}\mathrm{i}-2\,n^2\,\sin\left(2\,e+2\,f\,x\right)-n^2\,\sin\left(4\,e+4\,f\,x\right)+n\,\cos\left(2\,e+2\,f\,x\right)\,10{}\mathrm{i}+n\,\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}-6\,n\,\sin\left(2\,e+2\,f\,x\right)-3\,n\,\sin\left(4\,e+4\,f\,x\right)+n^2\,1{}\mathrm{i}+n^2\,\cos\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}+n^2\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+12{}\mathrm{i}\right)}{f\,n\,\left(4\,\cos\left(2\,e+2\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)+3\right)\,\left(n^2+3\,n+2\right)}","Not used",1,"(2*a^3*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^n*(n*7i + cos(2*e + 2*f*x)*16i + cos(4*e + 4*f*x)*4i - 2*n^2*sin(2*e + 2*f*x) - n^2*sin(4*e + 4*f*x) + n*cos(2*e + 2*f*x)*10i + n*cos(4*e + 4*f*x)*3i - 6*n*sin(2*e + 2*f*x) - 3*n*sin(4*e + 4*f*x) + n^2*1i + n^2*cos(2*e + 2*f*x)*2i + n^2*cos(4*e + 4*f*x)*1i + 12i))/(f*n*(4*cos(2*e + 2*f*x) + cos(4*e + 4*f*x) + 3)*(3*n + n^2 + 2))","B"
1045,1,112,64,0.388343,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^n,x)","\frac{a^2\,{\left(\frac{c\,\left(\cos\left(2\,e+2\,f\,x\right)+1-\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}\right)}^n\,\left(n\,1{}\mathrm{i}+\cos\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}+n\,\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-n\,\sin\left(2\,e+2\,f\,x\right)+2{}\mathrm{i}\right)}{f\,n\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)\,\left(n+1\right)}","Not used",1,"(a^2*((c*(cos(2*e + 2*f*x) - sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^n*(n*1i + cos(2*e + 2*f*x)*2i + n*cos(2*e + 2*f*x)*1i - n*sin(2*e + 2*f*x) + 2i))/(f*n*(cos(2*e + 2*f*x) + 1)*(n + 1))","B"
1046,1,40,26,4.855106,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^n,x)","\frac{a\,{\left(\frac{2\,c}{\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}}\right)}^n\,1{}\mathrm{i}}{f\,n}","Not used",1,"(a*((2*c)/(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))^n*1i)/(f*n)","B"
1047,0,-1,52,0.000000,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^n/(a + a*tan(e + f*x)*1i),x)","\int \frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^n}{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((c - c*tan(e + f*x)*1i)^n/(a + a*tan(e + f*x)*1i), x)","F"
1048,0,-1,52,0.000000,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^n/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((c - c*tan(e + f*x)*1i)^n/(a + a*tan(e + f*x)*1i)^2, x)","F"
1049,0,-1,52,0.000000,"\text{Not used}","int((c - c*tan(e + f*x)*1i)^n/(a + a*tan(e + f*x)*1i)^3,x)","\int \frac{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((c - c*tan(e + f*x)*1i)^n/(a + a*tan(e + f*x)*1i)^3, x)","F"
1050,0,-1,66,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^n,x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^n, x)","F"
1051,1,332,134,9.873342,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^4,x)","-\frac{4\,c^4\,{\left(\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}\right)}^m\,\left(\cos\left(2\,e+2\,f\,x\right)\,3{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}+\cos\left(6\,e+6\,f\,x\right)\,1{}\mathrm{i}+3\,\sin\left(2\,e+2\,f\,x\right)+3\,\sin\left(4\,e+4\,f\,x\right)+\sin\left(6\,e+6\,f\,x\right)+1{}\mathrm{i}\right)\,\left(11\,m+18\,\cos\left(2\,e+2\,f\,x\right)+18\,\cos\left(4\,e+4\,f\,x\right)+6\,\cos\left(6\,e+6\,f\,x\right)+15\,m\,\cos\left(2\,e+2\,f\,x\right)+6\,m\,\cos\left(4\,e+4\,f\,x\right)+6\,m^2+m^3+3\,m^2\,\cos\left(2\,e+2\,f\,x\right)+6+\sin\left(2\,e+2\,f\,x\right)\,18{}\mathrm{i}+\sin\left(4\,e+4\,f\,x\right)\,18{}\mathrm{i}+\sin\left(6\,e+6\,f\,x\right)\,6{}\mathrm{i}+m^2\,\sin\left(2\,e+2\,f\,x\right)\,3{}\mathrm{i}+m\,\sin\left(2\,e+2\,f\,x\right)\,15{}\mathrm{i}+m\,\sin\left(4\,e+4\,f\,x\right)\,6{}\mathrm{i}\right)}{f\,m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(15\,\cos\left(2\,e+2\,f\,x\right)+6\,\cos\left(4\,e+4\,f\,x\right)+\cos\left(6\,e+6\,f\,x\right)+10\right)}","Not used",1,"-(4*c^4*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^m*(cos(2*e + 2*f*x)*3i + cos(4*e + 4*f*x)*3i + cos(6*e + 6*f*x)*1i + 3*sin(2*e + 2*f*x) + 3*sin(4*e + 4*f*x) + sin(6*e + 6*f*x) + 1i)*(11*m + 18*cos(2*e + 2*f*x) + 18*cos(4*e + 4*f*x) + 6*cos(6*e + 6*f*x) + sin(2*e + 2*f*x)*18i + sin(4*e + 4*f*x)*18i + sin(6*e + 6*f*x)*6i + m^2*sin(2*e + 2*f*x)*3i + 15*m*cos(2*e + 2*f*x) + 6*m*cos(4*e + 4*f*x) + m*sin(2*e + 2*f*x)*15i + m*sin(4*e + 4*f*x)*6i + 6*m^2 + m^3 + 3*m^2*cos(2*e + 2*f*x) + 6))/(f*m*(11*m + 6*m^2 + m^3 + 6)*(15*cos(2*e + 2*f*x) + 6*cos(4*e + 4*f*x) + cos(6*e + 6*f*x) + 10))","B"
1052,1,229,99,1.360725,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^3,x)","-\frac{2\,c^3\,{\left(\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}\right)}^m\,\left(m\,7{}\mathrm{i}+\cos\left(2\,e+2\,f\,x\right)\,16{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,4{}\mathrm{i}+2\,m^2\,\sin\left(2\,e+2\,f\,x\right)+m^2\,\sin\left(4\,e+4\,f\,x\right)+m\,\cos\left(2\,e+2\,f\,x\right)\,10{}\mathrm{i}+m\,\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}+6\,m\,\sin\left(2\,e+2\,f\,x\right)+3\,m\,\sin\left(4\,e+4\,f\,x\right)+m^2\,1{}\mathrm{i}+m^2\,\cos\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}+m^2\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+12{}\mathrm{i}\right)}{f\,m\,\left(4\,\cos\left(2\,e+2\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)+3\right)\,\left(m^2+3\,m+2\right)}","Not used",1,"-(2*c^3*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^m*(m*7i + cos(2*e + 2*f*x)*16i + cos(4*e + 4*f*x)*4i + 2*m^2*sin(2*e + 2*f*x) + m^2*sin(4*e + 4*f*x) + m*cos(2*e + 2*f*x)*10i + m*cos(4*e + 4*f*x)*3i + 6*m*sin(2*e + 2*f*x) + 3*m*sin(4*e + 4*f*x) + m^2*1i + m^2*cos(2*e + 2*f*x)*2i + m^2*cos(4*e + 4*f*x)*1i + 12i))/(f*m*(4*cos(2*e + 2*f*x) + cos(4*e + 4*f*x) + 3)*(3*m + m^2 + 2))","B"
1053,1,112,64,0.371759,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^2,x)","-\frac{c^2\,{\left(\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}\right)}^m\,\left(m\,1{}\mathrm{i}+\cos\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}+m\,\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+m\,\sin\left(2\,e+2\,f\,x\right)+2{}\mathrm{i}\right)}{f\,m\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)\,\left(m+1\right)}","Not used",1,"-(c^2*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^m*(m*1i + cos(2*e + 2*f*x)*2i + m*cos(2*e + 2*f*x)*1i + m*sin(2*e + 2*f*x) + 2i))/(f*m*(cos(2*e + 2*f*x) + 1)*(m + 1))","B"
1054,1,46,26,0.173528,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i),x)","-\frac{c\,{\left(\frac{a\,\left(2\,{\cos\left(e+f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(e+f\,x\right)}^2}\right)}^m\,1{}\mathrm{i}}{f\,m}","Not used",1,"-(c*((a*(sin(2*e + 2*f*x)*1i + 2*cos(e + f*x)^2))/(2*cos(e + f*x)^2))^m*1i)/(f*m)","B"
1055,0,-1,52,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i), x)","F"
1056,0,-1,52,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^2, x)","F"
1057,0,-1,52,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^3,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^3, x)","F"
1058,0,-1,52,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^4,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^4, x)","F"
1059,0,-1,67,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1060,0,-1,67,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1061,0,-1,65,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^(1/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
1062,0,-1,65,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
1063,0,-1,67,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
1064,0,-1,67,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
1065,1,125,110,5.417211,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x)),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-a^3\,\left(2\,c-d\,1{}\mathrm{i}\right)+a^3\,\left(2\,d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+a^3\,d\,1{}\mathrm{i}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(4\,a^3\,d+a^3\,c\,4{}\mathrm{i}\right)}{f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^3\,\left(2\,d+c\,1{}\mathrm{i}\right)}{2}+\frac{a^3\,d}{2}\right)}{f}-\frac{a^3\,d\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{3\,f}","Not used",1,"(tan(e + f*x)*(a^3*(c*1i + 2*d)*1i - a^3*(2*c - d*1i) + a^3*d*1i))/f + (log(tan(e + f*x) + 1i)*(a^3*c*4i + 4*a^3*d))/f - (tan(e + f*x)^2*((a^3*(c*1i + 2*d))/2 + (a^3*d)/2))/f - (a^3*d*tan(e + f*x)^3*1i)/(3*f)","B"
1066,1,76,80,5.069498,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x)),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,d\,1{}\mathrm{i}+a^2\,\left(d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(2\,a^2\,d+a^2\,c\,2{}\mathrm{i}\right)}{f}-\frac{a^2\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,f}","Not used",1,"(tan(e + f*x)*(a^2*d*1i + a^2*(c*1i + d)*1i))/f + (log(tan(e + f*x) + 1i)*(a^2*c*2i + 2*a^2*d))/f - (a^2*d*tan(e + f*x)^2)/(2*f)","B"
1067,1,38,46,4.884413,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x)),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a\,d+a\,c\,1{}\mathrm{i}\right)}{f}+\frac{a\,d\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{f}","Not used",1,"(log(tan(e + f*x) + 1i)*(a*c*1i + a*d))/f + (a*d*tan(e + f*x)*1i)/f","B"
1068,1,45,47,5.010158,"\text{Not used}","int((c + d*tan(e + f*x))/(a + a*tan(e + f*x)*1i),x)","-\frac{x\,\left(d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}+\frac{-\frac{d}{2\,a}+\frac{c\,1{}\mathrm{i}}{2\,a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"((c*1i)/(2*a) - d/(2*a))/(f*(tan(e + f*x)*1i + 1)) - (x*(c*1i + d)*1i)/(2*a)","B"
1069,1,70,80,5.020473,"\text{Not used}","int((c + d*tan(e + f*x))/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{d}{4\,a^2}+\frac{c\,1{}\mathrm{i}}{4\,a^2}\right)+\frac{c}{2\,a^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}-\frac{x\,\left(d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^2}","Not used",1,"(tan(e + f*x)*((c*1i)/(4*a^2) + d/(4*a^2)) + c/(2*a^2))/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) - (x*(c*1i + d)*1i)/(4*a^2)","B"
1070,1,111,112,5.103356,"\text{Not used}","int((c + d*tan(e + f*x))/(a + a*tan(e + f*x)*1i)^3,x)","-\frac{x\,\left(d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,c}{8\,a^3}-\frac{d\,3{}\mathrm{i}}{8\,a^3}\right)-\frac{c\,5{}\mathrm{i}}{12\,a^3}-\frac{d}{12\,a^3}+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{d}{8\,a^3}+\frac{c\,1{}\mathrm{i}}{8\,a^3}\right)}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+1\right)}","Not used",1,"- (x*(c*1i + d)*1i)/(8*a^3) - (tan(e + f*x)*((3*c)/(8*a^3) - (d*3i)/(8*a^3)) - (c*5i)/(12*a^3) - d/(12*a^3) + tan(e + f*x)^2*((c*1i)/(8*a^3) + d/(8*a^3)))/(f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1))","B"
1071,1,217,153,4.924742,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^2,x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^3\,d^2\,1{}\mathrm{i}}{2}-\frac{a^3\,\left(c^2\,1{}\mathrm{i}+4\,c\,d-d^2\,1{}\mathrm{i}\right)}{2}+a^3\,d\,\left(d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{a^3\,d^2}{3}+\frac{2\,a^3\,d\,\left(d+c\,1{}\mathrm{i}\right)}{3}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^3\,c^2\,4{}\mathrm{i}+8\,a^3\,c\,d-a^3\,d^2\,4{}\mathrm{i}\right)}{f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,d^2+a^3\,\left(c^2\,1{}\mathrm{i}+4\,c\,d-d^2\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-2\,a^3\,c\,\left(c-d\,1{}\mathrm{i}\right)+2\,a^3\,d\,\left(d+c\,1{}\mathrm{i}\right)\right)}{f}-\frac{a^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}}{4\,f}","Not used",1,"(tan(e + f*x)^2*((a^3*d^2*1i)/2 - (a^3*(4*c*d + c^2*1i - d^2*1i))/2 + a^3*d*(c*1i + d)*1i))/f - (tan(e + f*x)^3*((a^3*d^2)/3 + (2*a^3*d*(c*1i + d))/3))/f + (log(tan(e + f*x) + 1i)*(a^3*c^2*4i - a^3*d^2*4i + 8*a^3*c*d))/f + (tan(e + f*x)*(a^3*d^2 + a^3*(4*c*d + c^2*1i - d^2*1i)*1i - 2*a^3*c*(c - d*1i) + 2*a^3*d*(c*1i + d)))/f - (a^3*d^2*tan(e + f*x)^4*1i)/(4*f)","B"
1072,1,139,116,4.917330,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^2,x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^2\,d^2\,1{}\mathrm{i}}{2}+\frac{a^2\,d\,\left(d+c\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}\right)}{f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,d^2+a^2\,d\,\left(d+c\,2{}\mathrm{i}\right)+a^2\,c\,\left(2\,d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^2\,c^2\,2{}\mathrm{i}+4\,a^2\,c\,d-a^2\,d^2\,2{}\mathrm{i}\right)}{f}-\frac{a^2\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}","Not used",1,"(tan(e + f*x)^2*((a^2*d^2*1i)/2 + (a^2*d*(c*2i + d)*1i)/2))/f + (tan(e + f*x)*(a^2*d^2 + a^2*d*(c*2i + d) + a^2*c*(c*1i + 2*d)*1i))/f + (log(tan(e + f*x) + 1i)*(a^2*c^2*2i - a^2*d^2*2i + 4*a^2*c*d))/f - (a^2*d^2*tan(e + f*x)^3)/(3*f)","B"
1073,1,75,78,5.114810,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,d^2+2{}\mathrm{i}\,a\,c\,d\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(1{}\mathrm{i}\,a\,c^2+2\,a\,c\,d-1{}\mathrm{i}\,a\,d^2\right)}{f}+\frac{a\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}}{2\,f}","Not used",1,"(tan(e + f*x)*(a*d^2 + a*c*d*2i))/f + (log(tan(e + f*x) + 1i)*(a*c^2*1i - a*d^2*1i + 2*a*c*d))/f + (a*d^2*tan(e + f*x)^2*1i)/(2*f)","B"
1074,1,112,75,5.624359,"\text{Not used}","int((c + d*tan(e + f*x))^2/(a + a*tan(e + f*x)*1i),x)","-\frac{\frac{c\,d}{a}-\frac{c^2\,1{}\mathrm{i}}{2\,a}+\frac{d^2\,1{}\mathrm{i}}{2\,a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(c^2-c\,d\,2{}\mathrm{i}+3\,d^2\right)\,1{}\mathrm{i}}{4\,a\,f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(c^2\,1{}\mathrm{i}+2\,c\,d-d^2\,1{}\mathrm{i}\right)}{4\,a\,f}","Not used",1,"(log(tan(e + f*x) + 1i)*(2*c*d + c^2*1i - d^2*1i))/(4*a*f) - (log(tan(e + f*x) - 1i)*(c^2 - c*d*2i + 3*d^2)*1i)/(4*a*f) - ((d^2*1i)/(2*a) - (c^2*1i)/(2*a) + (c*d)/a)/(f*(tan(e + f*x)*1i + 1))","B"
1075,1,93,91,5.240908,"\text{Not used}","int((c + d*tan(e + f*x))^2/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{x\,{\left(d+c\,1{}\mathrm{i}\right)}^2}{4\,a^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{c\,d}{2\,a^2}+\frac{c^2\,1{}\mathrm{i}}{4\,a^2}+\frac{d^2\,3{}\mathrm{i}}{4\,a^2}\right)+\frac{c^2}{2\,a^2}+\frac{d^2}{2\,a^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}","Not used",1,"(tan(e + f*x)*((c^2*1i)/(4*a^2) + (d^2*3i)/(4*a^2) + (c*d)/(2*a^2)) + c^2/(2*a^2) + d^2/(2*a^2))/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) - (x*(c*1i + d)^2)/(4*a^2)","B"
1076,1,148,129,5.442603,"\text{Not used}","int((c + d*tan(e + f*x))^2/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{c\,d}{6\,a^3}-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,c^2}{8\,a^3}+\frac{d^2}{8\,a^3}-\frac{c\,d\,3{}\mathrm{i}}{4\,a^3}\right)-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{c\,d}{4\,a^3}+\frac{c^2\,1{}\mathrm{i}}{8\,a^3}-\frac{d^2\,1{}\mathrm{i}}{8\,a^3}\right)+\frac{c^2\,5{}\mathrm{i}}{12\,a^3}+\frac{d^2\,1{}\mathrm{i}}{12\,a^3}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+1\right)}-\frac{x\,{\left(d+c\,1{}\mathrm{i}\right)}^2}{8\,a^3}","Not used",1,"((c^2*5i)/(12*a^3) - tan(e + f*x)*((3*c^2)/(8*a^3) + d^2/(8*a^3) - (c*d*3i)/(4*a^3)) - tan(e + f*x)^2*((c^2*1i)/(8*a^3) - (d^2*1i)/(8*a^3) + (c*d)/(4*a^3)) + (d^2*1i)/(12*a^3) + (c*d)/(6*a^3))/(f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1)) - (x*(c*1i + d)^2)/(8*a^3)","B"
1077,1,356,190,5.188889,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^3,x)","-\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{a^3\,d^3}{4}+\frac{a^3\,d^2\,\left(2\,d+c\,3{}\mathrm{i}\right)}{4}\right)}{f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,d^3\,1{}\mathrm{i}-a^3\,c\,\left(c^2\,1{}\mathrm{i}+6\,c\,d-d^2\,3{}\mathrm{i}\right)\,1{}\mathrm{i}-a^3\,d\,\left(c^2\,3{}\mathrm{i}+6\,c\,d-d^2\,1{}\mathrm{i}\right)+a^3\,c^2\,\left(2\,c-d\,3{}\mathrm{i}\right)+a^3\,d^2\,\left(2\,d+c\,3{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^3\,c^3\,4{}\mathrm{i}+12\,a^3\,c^2\,d-a^3\,c\,d^2\,12{}\mathrm{i}-4\,a^3\,d^3\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{a^3\,d^3\,1{}\mathrm{i}}{3}-\frac{a^3\,d\,\left(c^2\,3{}\mathrm{i}+6\,c\,d-d^2\,1{}\mathrm{i}\right)}{3}+\frac{a^3\,d^2\,\left(2\,d+c\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^3\,d^3}{2}-\frac{a^3\,c\,\left(c^2\,1{}\mathrm{i}+6\,c\,d-d^2\,3{}\mathrm{i}\right)}{2}+\frac{a^3\,d\,\left(c^2\,3{}\mathrm{i}+6\,c\,d-d^2\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^3\,d^2\,\left(2\,d+c\,3{}\mathrm{i}\right)}{2}\right)}{f}-\frac{a^3\,d^3\,{\mathrm{tan}\left(e+f\,x\right)}^5\,1{}\mathrm{i}}{5\,f}","Not used",1,"(log(tan(e + f*x) + 1i)*(a^3*c^3*4i - 4*a^3*d^3 - a^3*c*d^2*12i + 12*a^3*c^2*d))/f - (tan(e + f*x)*(a^3*d^3*1i - a^3*c*(6*c*d + c^2*1i - d^2*3i)*1i - a^3*d*(6*c*d + c^2*3i - d^2*1i) + a^3*c^2*(2*c - d*3i) + a^3*d^2*(c*3i + 2*d)*1i))/f - (tan(e + f*x)^4*((a^3*d^3)/4 + (a^3*d^2*(c*3i + 2*d))/4))/f + (tan(e + f*x)^3*((a^3*d^3*1i)/3 - (a^3*d*(6*c*d + c^2*3i - d^2*1i))/3 + (a^3*d^2*(c*3i + 2*d)*1i)/3))/f + (tan(e + f*x)^2*((a^3*d^3)/2 - (a^3*c*(6*c*d + c^2*1i - d^2*3i))/2 + (a^3*d*(6*c*d + c^2*3i - d^2*1i)*1i)/2 + (a^3*d^2*(c*3i + 2*d))/2))/f - (a^3*d^3*tan(e + f*x)^5*1i)/(5*f)","B"
1078,1,223,141,5.063842,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^3,x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^2\,d^3}{2}+\frac{a^2\,d^2\,\left(d+c\,3{}\mathrm{i}\right)}{2}+\frac{a^2\,c\,d\,\left(d+c\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^2\,c^3\,2{}\mathrm{i}+6\,a^2\,c^2\,d-a^2\,c\,d^2\,6{}\mathrm{i}-2\,a^2\,d^3\right)}{f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,d^3\,1{}\mathrm{i}+a^2\,d^2\,\left(d+c\,3{}\mathrm{i}\right)\,1{}\mathrm{i}-a^2\,c^2\,\left(3\,d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-3\,a^2\,c\,d\,\left(d+c\,1{}\mathrm{i}\right)\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{a^2\,d^3\,1{}\mathrm{i}}{3}+\frac{a^2\,d^2\,\left(d+c\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}\right)}{f}-\frac{a^2\,d^3\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4\,f}","Not used",1,"(tan(e + f*x)^2*((a^2*d^3)/2 + (a^2*d^2*(c*3i + d))/2 + (a^2*c*d*(c*1i + d)*3i)/2))/f + (log(tan(e + f*x) + 1i)*(a^2*c^3*2i - 2*a^2*d^3 - a^2*c*d^2*6i + 6*a^2*c^2*d))/f - (tan(e + f*x)*(a^2*d^3*1i + a^2*d^2*(c*3i + d)*1i - a^2*c^2*(c*1i + 3*d)*1i - 3*a^2*c*d*(c*1i + d)))/f + (tan(e + f*x)^3*((a^2*d^3*1i)/3 + (a^2*d^2*(c*3i + d)*1i)/3))/f - (a^2*d^3*tan(e + f*x)^4)/(4*f)","B"
1079,1,122,107,5.070355,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^3,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3{}\mathrm{i}\,a\,c^2\,d+3\,a\,c\,d^2-1{}\mathrm{i}\,a\,d^3\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(1{}\mathrm{i}\,a\,c^3+3\,a\,c^2\,d-3{}\mathrm{i}\,a\,c\,d^2-a\,d^3\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a\,d^3}{2}+\frac{3{}\mathrm{i}\,a\,c\,d^2}{2}\right)}{f}+\frac{a\,d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{3\,f}","Not used",1,"(tan(e + f*x)*(3*a*c*d^2 - a*d^3*1i + a*c^2*d*3i))/f + (log(tan(e + f*x) + 1i)*(a*c^3*1i - a*d^3 - a*c*d^2*3i + 3*a*c^2*d))/f + (tan(e + f*x)^2*((a*d^3)/2 + (a*c*d^2*3i)/2))/f + (a*d^3*tan(e + f*x)^3*1i)/(3*f)","B"
1080,1,175,129,5.663826,"\text{Not used}","int((c + d*tan(e + f*x))^3/(a + a*tan(e + f*x)*1i),x)","-\frac{\frac{3\,c^2\,d-d^3}{2\,a}+\frac{\left(d^3\,1{}\mathrm{i}+3\,c\,d^2\right)\,1{}\mathrm{i}}{2\,a}-\frac{-d^3+c^3\,1{}\mathrm{i}}{2\,a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{d^3\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{a\,f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}{4\,a\,f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(c^3\,1{}\mathrm{i}+3\,c^2\,d+c\,d^2\,9{}\mathrm{i}-5\,d^3\right)}{4\,a\,f}","Not used",1,"- ((3*c^2*d - d^3)/(2*a) + ((3*c*d^2 + d^3*1i)*1i)/(2*a) - (c^3*1i - d^3)/(2*a))/(f*(tan(e + f*x)*1i + 1)) - (d^3*tan(e + f*x)*1i)/(a*f) - (log(tan(e + f*x) + 1i)*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3))/(4*a*f) - (log(tan(e + f*x) - 1i)*(c*d^2*9i + 3*c^2*d + c^3*1i - 5*d^3))/(4*a*f)","B"
1081,1,184,136,5.662156,"\text{Not used}","int((c + d*tan(e + f*x))^3/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,c^2\,d}{4\,a^2}-\frac{5\,d^3}{4\,a^2}+\frac{c^3\,1{}\mathrm{i}}{4\,a^2}+\frac{c\,d^2\,9{}\mathrm{i}}{4\,a^2}\right)+\frac{c^3}{2\,a^2}+\frac{3\,c\,d^2}{2\,a^2}+\frac{d^3\,1{}\mathrm{i}}{a^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}{8\,a^2\,f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(c^3\,1{}\mathrm{i}+3\,c^2\,d-c\,d^2\,3{}\mathrm{i}+7\,d^3\right)}{8\,a^2\,f}","Not used",1,"(tan(e + f*x)*((c^3*1i)/(4*a^2) - (5*d^3)/(4*a^2) + (c*d^2*9i)/(4*a^2) + (3*c^2*d)/(4*a^2)) + c^3/(2*a^2) + (d^3*1i)/a^2 + (3*c*d^2)/(2*a^2))/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) - (log(tan(e + f*x) + 1i)*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3))/(8*a^2*f) - (log(tan(e + f*x) - 1i)*(3*c^2*d - c*d^2*3i + c^3*1i + 7*d^3))/(8*a^2*f)","B"
1082,1,183,140,5.607285,"\text{Not used}","int((c + d*tan(e + f*x))^3/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{5\,d^3}{12\,a^3}-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,c^3}{8\,a^3}-\frac{d^3\,9{}\mathrm{i}}{8\,a^3}+\frac{3\,c\,d^2}{8\,a^3}-\frac{c^2\,d\,9{}\mathrm{i}}{8\,a^3}\right)-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{7\,d^3}{8\,a^3}+\frac{3\,c^2\,d}{8\,a^3}+\frac{c^3\,1{}\mathrm{i}}{8\,a^3}-\frac{c\,d^2\,3{}\mathrm{i}}{8\,a^3}\right)+\frac{c^2\,d}{4\,a^3}+\frac{c^3\,5{}\mathrm{i}}{12\,a^3}+\frac{c\,d^2\,1{}\mathrm{i}}{4\,a^3}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+1\right)}+\frac{x\,{\left(d+c\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{8\,a^3}","Not used",1,"((c^3*5i)/(12*a^3) - tan(e + f*x)*((3*c^3)/(8*a^3) - (d^3*9i)/(8*a^3) + (3*c*d^2)/(8*a^3) - (c^2*d*9i)/(8*a^3)) + (5*d^3)/(12*a^3) - tan(e + f*x)^2*((c^3*1i)/(8*a^3) + (7*d^3)/(8*a^3) - (c*d^2*3i)/(8*a^3) + (3*c^2*d)/(8*a^3)) + (c*d^2*1i)/(4*a^3) + (c^2*d)/(4*a^3))/(f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1)) + (x*(c*1i + d)^3*1i)/(8*a^3)","B"
1083,1,99,115,7.425213,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c + d*tan(e + f*x)),x)","\frac{a^3\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,4{}\mathrm{i}}{f\,\left(c-d\,1{}\mathrm{i}\right)}-\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{d\,f}-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(-a^3\,c^2\,1{}\mathrm{i}+2\,a^3\,c\,d+a^3\,d^2\,1{}\mathrm{i}\right)}{d^2\,f\,\left(c-d\,1{}\mathrm{i}\right)}","Not used",1,"(a^3*log(tan(e + f*x) + 1i)*4i)/(f*(c - d*1i)) - (a^3*tan(e + f*x)*1i)/(d*f) - (log(c + d*tan(e + f*x))*(a^3*d^2*1i - a^3*c^2*1i + 2*a^3*c*d))/(d^2*f*(c - d*1i))","B"
1084,1,64,106,5.754288,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c + d*tan(e + f*x)),x)","\frac{a^2\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{f\,\left(c-d\,1{}\mathrm{i}\right)}-\frac{a^2\,\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(c+d\,1{}\mathrm{i}\right)}{d\,f\,\left(c-d\,1{}\mathrm{i}\right)}","Not used",1,"(a^2*log(tan(e + f*x) + 1i)*2i)/(f*(c - d*1i)) - (a^2*log(c + d*tan(e + f*x))*(c + d*1i))/(d*f*(c - d*1i))","B"
1085,1,43,45,5.175174,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c + d*tan(e + f*x)),x)","-\frac{a\,\mathrm{atan}\left(\frac{c\,1{}\mathrm{i}-d+d\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}}{c-d\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{f\,\left(d+c\,1{}\mathrm{i}\right)}","Not used",1,"-(a*atan((c*1i - d + d*tan(e + f*x)*2i)/(c - d*1i))*2i)/(f*(c*1i + d))","B"
1086,1,2639,128,9.309821,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))),x)","\frac{\sum _{k=1}^3\ln\left(-a\,d^2\,{\left(d+c\,1{}\mathrm{i}\right)}^2\,\left(c\,d+d^2\,\mathrm{tan}\left(e+f\,x\right)+d^2\,2{}\mathrm{i}+\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)\,a\,c^3\,2-\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)\,a\,d^3\,2{}\mathrm{i}-{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,c^4\,\mathrm{tan}\left(e+f\,x\right)\,8-{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,d^4\,\mathrm{tan}\left(e+f\,x\right)\,24-\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)\,a\,c\,d^2\,6+\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)\,a\,c^2\,d\,6{}\mathrm{i}-\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)\,a\,d^3\,\mathrm{tan}\left(e+f\,x\right)\,12+{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,c^2\,d^2\,64{}\mathrm{i}-{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,c\,d^3\,32+{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,c^3\,d\,32+{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,c\,d^3\,\mathrm{tan}\left(e+f\,x\right)\,48{}\mathrm{i}-{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,c^3\,d\,\mathrm{tan}\left(e+f\,x\right)\,16{}\mathrm{i}+\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)\,a\,c\,d^2\,\mathrm{tan}\left(e+f\,x\right)\,16{}\mathrm{i}+\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)\,a\,c^2\,d\,\mathrm{tan}\left(e+f\,x\right)\,4+{\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}^2\,a^2\,c^2\,d^2\,\mathrm{tan}\left(e+f\,x\right)\,32\right)\right)\,\mathrm{root}\left(a^3\,c^3\,d^3\,e^3\,64{}\mathrm{i}+16\,a^3\,c^4\,d^2\,e^3-16\,a^3\,c^2\,d^4\,e^3+a^3\,c^5\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^5\,e^3\,32{}\mathrm{i}-16\,a^3\,d^6\,e^3+16\,a^3\,c^6\,e^3-2\,a\,c^2\,d^2\,e+a\,c^3\,d\,e\,4{}\mathrm{i}+a\,c\,d^3\,e\,4{}\mathrm{i}+13\,a\,d^4\,e+a\,c^4\,e-c\,d^2\,1{}\mathrm{i}+3\,d^3,e,k\right)}{f}+\frac{1}{2\,f\,\left(a\,d-a\,c\,1{}\mathrm{i}+a\,c\,\mathrm{tan}\left(e+f\,x\right)+a\,d\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"symsum(log(-a*d^2*(c*1i + d)^2*(c*d + d^2*tan(e + f*x) + d^2*2i + 2*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)*a*c^3 - root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)*a*d^3*2i - 8*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*c^4*tan(e + f*x) - 24*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*d^4*tan(e + f*x) - 6*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)*a*c*d^2 + root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)*a*c^2*d*6i - 12*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)*a*d^3*tan(e + f*x) + root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*c^2*d^2*64i - 32*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*c*d^3 + 32*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*c^3*d + root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*c*d^3*tan(e + f*x)*48i - root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*c^3*d*tan(e + f*x)*16i + root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)*a*c*d^2*tan(e + f*x)*16i + 4*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)*a*c^2*d*tan(e + f*x) + 32*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k)^2*a^2*c^2*d^2*tan(e + f*x)))*root(a^3*c^3*d^3*e^3*64i + 16*a^3*c^4*d^2*e^3 - 16*a^3*c^2*d^4*e^3 + a^3*c^5*d*e^3*32i + a^3*c*d^5*e^3*32i - 16*a^3*d^6*e^3 + 16*a^3*c^6*e^3 - 2*a*c^2*d^2*e + a*c^3*d*e*4i + a*c*d^3*e*4i + 13*a*d^4*e + a*c^4*e - c*d^2*1i + 3*d^3, e, k), k, 1, 3)/f + 1/(2*f*(a*d - a*c*1i + a*c*tan(e + f*x) + a*d*tan(e + f*x)*1i))","B"
1087,1,1384,174,9.234707,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))),x)","\frac{\sum _{k=1}^3\ln\left(\mathrm{root}\left(640\,a^6\,c^4\,d^4\,e^3-a^6\,c^5\,d^3\,e^3\,256{}\mathrm{i}+a^6\,c^3\,d^5\,e^3\,256{}\mathrm{i}+256\,a^6\,c^6\,d^2\,e^3+256\,a^6\,c^2\,d^6\,e^3-a^6\,c^7\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^7\,e^3\,256{}\mathrm{i}-64\,a^6\,d^8\,e^3-64\,a^6\,c^8\,e^3+a^2\,c\,d^5\,e\,18{}\mathrm{i}-a^2\,c^5\,d\,e\,6{}\mathrm{i}+a^2\,c^3\,d^3\,e\,12{}\mathrm{i}+15\,a^2\,c^4\,d^2\,e+9\,a^2\,c^2\,d^4\,e+57\,a^2\,d^6\,e-a^2\,c^6\,e-c^2\,d^3-c\,d^4\,4{}\mathrm{i}+7\,d^5,e,k\right)\,\left(\mathrm{root}\left(640\,a^6\,c^4\,d^4\,e^3-a^6\,c^5\,d^3\,e^3\,256{}\mathrm{i}+a^6\,c^3\,d^5\,e^3\,256{}\mathrm{i}+256\,a^6\,c^6\,d^2\,e^3+256\,a^6\,c^2\,d^6\,e^3-a^6\,c^7\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^7\,e^3\,256{}\mathrm{i}-64\,a^6\,d^8\,e^3-64\,a^6\,c^8\,e^3+a^2\,c\,d^5\,e\,18{}\mathrm{i}-a^2\,c^5\,d\,e\,6{}\mathrm{i}+a^2\,c^3\,d^3\,e\,12{}\mathrm{i}+15\,a^2\,c^4\,d^2\,e+9\,a^2\,c^2\,d^4\,e+57\,a^2\,d^6\,e-a^2\,c^6\,e-c^2\,d^3-c\,d^4\,4{}\mathrm{i}+7\,d^5,e,k\right)\,\left(\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(128\,a^4\,c^5\,d+a^4\,c^4\,d^2\,512{}\mathrm{i}-768\,a^4\,c^3\,d^3-a^4\,c^2\,d^4\,512{}\mathrm{i}+128\,a^4\,c\,d^5\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(32\,a^4\,c^6+a^4\,c^5\,d\,128{}\mathrm{i}-288\,a^4\,c^4\,d^2-a^4\,c^3\,d^3\,512{}\mathrm{i}+608\,a^4\,c^2\,d^4+a^4\,c\,d^5\,384{}\mathrm{i}-96\,a^4\,d^6\right)\right)+\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(4\,a^2\,c^5+a^2\,c^4\,d\,20{}\mathrm{i}-48\,a^2\,c^3\,d^2-a^2\,c^2\,d^3\,64{}\mathrm{i}+44\,a^2\,c\,d^4+a^2\,d^5\,12{}\mathrm{i}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^2\,c^4\,d+a^2\,c^3\,d^2\,40{}\mathrm{i}-104\,a^2\,c^2\,d^3-a^2\,c\,d^4\,120{}\mathrm{i}+48\,a^2\,d^5\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\right)-\left(-c^3\,d-c^2\,d^2\,6{}\mathrm{i}+13\,c\,d^3+d^4\,12{}\mathrm{i}\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(c^2\,d^2+c\,d^3\,6{}\mathrm{i}-9\,d^4\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\right)\,\mathrm{root}\left(640\,a^6\,c^4\,d^4\,e^3-a^6\,c^5\,d^3\,e^3\,256{}\mathrm{i}+a^6\,c^3\,d^5\,e^3\,256{}\mathrm{i}+256\,a^6\,c^6\,d^2\,e^3+256\,a^6\,c^2\,d^6\,e^3-a^6\,c^7\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^7\,e^3\,256{}\mathrm{i}-64\,a^6\,d^8\,e^3-64\,a^6\,c^8\,e^3+a^2\,c\,d^5\,e\,18{}\mathrm{i}-a^2\,c^5\,d\,e\,6{}\mathrm{i}+a^2\,c^3\,d^3\,e\,12{}\mathrm{i}+15\,a^2\,c^4\,d^2\,e+9\,a^2\,c^2\,d^4\,e+57\,a^2\,d^6\,e-a^2\,c^6\,e-c^2\,d^3-c\,d^4\,4{}\mathrm{i}+7\,d^5,e,k\right)}{f}+\frac{\frac{\left(c+d\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^2\,\left(c^2+c\,d\,2{}\mathrm{i}-d^2\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(c+d\,3{}\mathrm{i}\right)}{4\,a^2\,\left(c^2+c\,d\,2{}\mathrm{i}-d^2\right)}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+1\right)}","Not used",1,"symsum(log(root(640*a^6*c^4*d^4*e^3 - a^6*c^5*d^3*e^3*256i + a^6*c^3*d^5*e^3*256i + 256*a^6*c^6*d^2*e^3 + 256*a^6*c^2*d^6*e^3 - a^6*c^7*d*e^3*256i + a^6*c*d^7*e^3*256i - 64*a^6*d^8*e^3 - 64*a^6*c^8*e^3 + a^2*c*d^5*e*18i - a^2*c^5*d*e*6i + a^2*c^3*d^3*e*12i + 15*a^2*c^4*d^2*e + 9*a^2*c^2*d^4*e + 57*a^2*d^6*e - a^2*c^6*e - c^2*d^3 - c*d^4*4i + 7*d^5, e, k)*(root(640*a^6*c^4*d^4*e^3 - a^6*c^5*d^3*e^3*256i + a^6*c^3*d^5*e^3*256i + 256*a^6*c^6*d^2*e^3 + 256*a^6*c^2*d^6*e^3 - a^6*c^7*d*e^3*256i + a^6*c*d^7*e^3*256i - 64*a^6*d^8*e^3 - 64*a^6*c^8*e^3 + a^2*c*d^5*e*18i - a^2*c^5*d*e*6i + a^2*c^3*d^3*e*12i + 15*a^2*c^4*d^2*e + 9*a^2*c^2*d^4*e + 57*a^2*d^6*e - a^2*c^6*e - c^2*d^3 - c*d^4*4i + 7*d^5, e, k)*((a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(128*a^4*c*d^5 + 128*a^4*c^5*d - a^4*c^2*d^4*512i - 768*a^4*c^3*d^3 + a^4*c^4*d^2*512i) - tan(e + f*x)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(32*a^4*c^6 - 96*a^4*d^6 + a^4*c*d^5*384i + a^4*c^5*d*128i + 608*a^4*c^2*d^4 - a^4*c^3*d^3*512i - 288*a^4*c^4*d^2)) + (a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(4*a^2*c^5 + a^2*d^5*12i + 44*a^2*c*d^4 + a^2*c^4*d*20i - a^2*c^2*d^3*64i - 48*a^2*c^3*d^2) + tan(e + f*x)*(48*a^2*d^5 - a^2*c*d^4*120i + 8*a^2*c^4*d - 104*a^2*c^2*d^3 + a^2*c^3*d^2*40i)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)) - (13*c*d^3 - c^3*d + d^4*12i - c^2*d^2*6i)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2) + tan(e + f*x)*(c*d^3*6i - 9*d^4 + c^2*d^2)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2))*root(640*a^6*c^4*d^4*e^3 - a^6*c^5*d^3*e^3*256i + a^6*c^3*d^5*e^3*256i + 256*a^6*c^6*d^2*e^3 + 256*a^6*c^2*d^6*e^3 - a^6*c^7*d*e^3*256i + a^6*c*d^7*e^3*256i - 64*a^6*d^8*e^3 - 64*a^6*c^8*e^3 + a^2*c*d^5*e*18i - a^2*c^5*d*e*6i + a^2*c^3*d^3*e*12i + 15*a^2*c^4*d^2*e + 9*a^2*c^2*d^4*e + 57*a^2*d^6*e - a^2*c^6*e - c^2*d^3 - c*d^4*4i + 7*d^5, e, k), k, 1, 3)/f + (((c + d*2i)*1i)/(2*a^2*(c*d*2i + c^2 - d^2)) - (tan(e + f*x)*(c + d*3i))/(4*a^2*(c*d*2i + c^2 - d^2)))/(f*(tan(e + f*x)*2i - tan(e + f*x)^2 + 1))","B"
1088,1,1952,234,10.002079,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))),x)","\frac{\sum _{k=1}^3\ln\left(-\left(c^5\,d+c^4\,d^2\,8{}\mathrm{i}-30\,c^3\,d^3-c^2\,d^4\,64{}\mathrm{i}+81\,c\,d^5+d^6\,56{}\mathrm{i}\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)-\mathrm{root}\left(a^9\,c^5\,d^5\,e^3\,7168{}\mathrm{i}+3584\,a^9\,c^6\,d^4\,e^3-3584\,a^9\,c^4\,d^6\,e^3+3328\,a^9\,c^8\,d^2\,e^3-3328\,a^9\,c^2\,d^8\,e^3+a^9\,c^7\,d^3\,e^3\,2048{}\mathrm{i}+a^9\,c^3\,d^7\,e^3\,2048{}\mathrm{i}-a^9\,c^9\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^9\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{10}\,e^3-256\,a^9\,c^{10}\,e^3-a^3\,c\,d^7\,e\,56{}\mathrm{i}-a^3\,c^7\,d\,e\,8{}\mathrm{i}-68\,a^3\,c^2\,d^6\,e+a^3\,c^5\,d^3\,e\,56{}\mathrm{i}-54\,a^3\,c^4\,d^4\,e+28\,a^3\,c^6\,d^2\,e+a^3\,c^3\,d^5\,e\,8{}\mathrm{i}-241\,a^3\,d^8\,e-a^3\,c^8\,e-c^3\,d^4\,1{}\mathrm{i}+5\,c^2\,d^5+c\,d^6\,11{}\mathrm{i}-15\,d^7,e,k\right)\,\left(\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(8\,a^3\,c^7+a^3\,c^6\,d\,56{}\mathrm{i}-184\,a^3\,c^5\,d^2-a^3\,c^4\,d^3\,392{}\mathrm{i}+568\,a^3\,c^3\,d^4+a^3\,c^2\,d^5\,520{}\mathrm{i}-264\,a^3\,c\,d^6-a^3\,d^7\,56{}\mathrm{i}\right)+\mathrm{root}\left(a^9\,c^5\,d^5\,e^3\,7168{}\mathrm{i}+3584\,a^9\,c^6\,d^4\,e^3-3584\,a^9\,c^4\,d^6\,e^3+3328\,a^9\,c^8\,d^2\,e^3-3328\,a^9\,c^2\,d^8\,e^3+a^9\,c^7\,d^3\,e^3\,2048{}\mathrm{i}+a^9\,c^3\,d^7\,e^3\,2048{}\mathrm{i}-a^9\,c^9\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^9\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{10}\,e^3-256\,a^9\,c^{10}\,e^3-a^3\,c\,d^7\,e\,56{}\mathrm{i}-a^3\,c^7\,d\,e\,8{}\mathrm{i}-68\,a^3\,c^2\,d^6\,e+a^3\,c^5\,d^3\,e\,56{}\mathrm{i}-54\,a^3\,c^4\,d^4\,e+28\,a^3\,c^6\,d^2\,e+a^3\,c^3\,d^5\,e\,8{}\mathrm{i}-241\,a^3\,d^8\,e-a^3\,c^8\,e-c^3\,d^4\,1{}\mathrm{i}+5\,c^2\,d^5+c\,d^6\,11{}\mathrm{i}-15\,d^7,e,k\right)\,\left(\left(512\,a^6\,c^7\,d+a^6\,c^6\,d^2\,3072{}\mathrm{i}-7680\,a^6\,c^5\,d^3-a^6\,c^4\,d^4\,10240{}\mathrm{i}+7680\,a^6\,c^3\,d^5+a^6\,c^2\,d^6\,3072{}\mathrm{i}-512\,a^6\,c\,d^7\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(128\,a^6\,c^8+a^6\,c^7\,d\,768{}\mathrm{i}-2304\,a^6\,c^6\,d^2-a^6\,c^5\,d^3\,4864{}\mathrm{i}+7680\,a^6\,c^4\,d^4+a^6\,c^3\,d^5\,8448{}\mathrm{i}-5888\,a^6\,c^2\,d^6-a^6\,c\,d^7\,2304{}\mathrm{i}+384\,a^6\,d^8\right)\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^3\,c^6\,d+a^3\,c^5\,d^2\,112{}\mathrm{i}-352\,a^3\,c^4\,d^3-a^3\,c^3\,d^4\,736{}\mathrm{i}+976\,a^3\,c^2\,d^5+a^3\,c\,d^6\,688{}\mathrm{i}-192\,a^3\,d^7\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(c^4\,d^2+c^3\,d^3\,8{}\mathrm{i}-30\,c^2\,d^4-c\,d^5\,56{}\mathrm{i}+49\,d^6\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\right)\,\mathrm{root}\left(a^9\,c^5\,d^5\,e^3\,7168{}\mathrm{i}+3584\,a^9\,c^6\,d^4\,e^3-3584\,a^9\,c^4\,d^6\,e^3+3328\,a^9\,c^8\,d^2\,e^3-3328\,a^9\,c^2\,d^8\,e^3+a^9\,c^7\,d^3\,e^3\,2048{}\mathrm{i}+a^9\,c^3\,d^7\,e^3\,2048{}\mathrm{i}-a^9\,c^9\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^9\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{10}\,e^3-256\,a^9\,c^{10}\,e^3-a^3\,c\,d^7\,e\,56{}\mathrm{i}-a^3\,c^7\,d\,e\,8{}\mathrm{i}-68\,a^3\,c^2\,d^6\,e+a^3\,c^5\,d^3\,e\,56{}\mathrm{i}-54\,a^3\,c^4\,d^4\,e+28\,a^3\,c^6\,d^2\,e+a^3\,c^3\,d^5\,e\,8{}\mathrm{i}-241\,a^3\,d^8\,e-a^3\,c^8\,e-c^3\,d^4\,1{}\mathrm{i}+5\,c^2\,d^5+c\,d^6\,11{}\mathrm{i}-15\,d^7,e,k\right)}{f}-\frac{\frac{10\,c^2+c\,d\,32{}\mathrm{i}-34\,d^2}{24\,a^3\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3\,c^2+c\,d\,12{}\mathrm{i}-17\,d^2\right)\,1{}\mathrm{i}}{8\,a^3\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(c^2+c\,d\,4{}\mathrm{i}-7\,d^2\right)}{8\,a^3\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^3+{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}","Not used",1,"symsum(log(- (81*c*d^5 + c^5*d + d^6*56i - c^2*d^4*64i - 30*c^3*d^3 + c^4*d^2*8i)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2) - root(a^9*c^5*d^5*e^3*7168i + 3584*a^9*c^6*d^4*e^3 - 3584*a^9*c^4*d^6*e^3 + 3328*a^9*c^8*d^2*e^3 - 3328*a^9*c^2*d^8*e^3 + a^9*c^7*d^3*e^3*2048i + a^9*c^3*d^7*e^3*2048i - a^9*c^9*d*e^3*1536i - a^9*c*d^9*e^3*1536i + 256*a^9*d^10*e^3 - 256*a^9*c^10*e^3 - a^3*c*d^7*e*56i - a^3*c^7*d*e*8i - 68*a^3*c^2*d^6*e + a^3*c^5*d^3*e*56i - 54*a^3*c^4*d^4*e + 28*a^3*c^6*d^2*e + a^3*c^3*d^5*e*8i - 241*a^3*d^8*e - a^3*c^8*e - c^3*d^4*1i + 5*c^2*d^5 + c*d^6*11i - 15*d^7, e, k)*((a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(8*a^3*c^7 - a^3*d^7*56i - 264*a^3*c*d^6 + a^3*c^6*d*56i + a^3*c^2*d^5*520i + 568*a^3*c^3*d^4 - a^3*c^4*d^3*392i - 184*a^3*c^5*d^2) + root(a^9*c^5*d^5*e^3*7168i + 3584*a^9*c^6*d^4*e^3 - 3584*a^9*c^4*d^6*e^3 + 3328*a^9*c^8*d^2*e^3 - 3328*a^9*c^2*d^8*e^3 + a^9*c^7*d^3*e^3*2048i + a^9*c^3*d^7*e^3*2048i - a^9*c^9*d*e^3*1536i - a^9*c*d^9*e^3*1536i + 256*a^9*d^10*e^3 - 256*a^9*c^10*e^3 - a^3*c*d^7*e*56i - a^3*c^7*d*e*8i - 68*a^3*c^2*d^6*e + a^3*c^5*d^3*e*56i - 54*a^3*c^4*d^4*e + 28*a^3*c^6*d^2*e + a^3*c^3*d^5*e*8i - 241*a^3*d^8*e - a^3*c^8*e - c^3*d^4*1i + 5*c^2*d^5 + c*d^6*11i - 15*d^7, e, k)*((512*a^6*c^7*d - 512*a^6*c*d^7 + a^6*c^2*d^6*3072i + 7680*a^6*c^3*d^5 - a^6*c^4*d^4*10240i - 7680*a^6*c^5*d^3 + a^6*c^6*d^2*3072i)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2) - tan(e + f*x)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(128*a^6*c^8 + 384*a^6*d^8 - a^6*c*d^7*2304i + a^6*c^7*d*768i - 5888*a^6*c^2*d^6 + a^6*c^3*d^5*8448i + 7680*a^6*c^4*d^4 - a^6*c^5*d^3*4864i - 2304*a^6*c^6*d^2)) + tan(e + f*x)*(a^3*c*d^6*688i - 192*a^3*d^7 + 16*a^3*c^6*d + 976*a^3*c^2*d^5 - a^3*c^3*d^4*736i - 352*a^3*c^4*d^3 + a^3*c^5*d^2*112i)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)) - tan(e + f*x)*(49*d^6 - c*d^5*56i - 30*c^2*d^4 + c^3*d^3*8i + c^4*d^2)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2))*root(a^9*c^5*d^5*e^3*7168i + 3584*a^9*c^6*d^4*e^3 - 3584*a^9*c^4*d^6*e^3 + 3328*a^9*c^8*d^2*e^3 - 3328*a^9*c^2*d^8*e^3 + a^9*c^7*d^3*e^3*2048i + a^9*c^3*d^7*e^3*2048i - a^9*c^9*d*e^3*1536i - a^9*c*d^9*e^3*1536i + 256*a^9*d^10*e^3 - 256*a^9*c^10*e^3 - a^3*c*d^7*e*56i - a^3*c^7*d*e*8i - 68*a^3*c^2*d^6*e + a^3*c^5*d^3*e*56i - 54*a^3*c^4*d^4*e + 28*a^3*c^6*d^2*e + a^3*c^3*d^5*e*8i - 241*a^3*d^8*e - a^3*c^8*e - c^3*d^4*1i + 5*c^2*d^5 + c*d^6*11i - 15*d^7, e, k), k, 1, 3)/f - ((c*d*32i + 10*c^2 - 34*d^2)/(24*a^3*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)) + (tan(e + f*x)*(c*d*12i + 3*c^2 - 17*d^2)*1i)/(8*a^3*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)) - (tan(e + f*x)^2*(c*d*4i + c^2 - 7*d^2))/(8*a^3*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)))/(f*(3*tan(e + f*x) + tan(e + f*x)^2*3i - tan(e + f*x)^3 - 1i))","B"
1089,1,133,142,6.817472,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c + d*tan(e + f*x))^2,x)","-\frac{4\,a^3\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{f\,\left(c^2\,1{}\mathrm{i}+2\,c\,d-d^2\,1{}\mathrm{i}\right)}+\frac{a^3\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}{d^3\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+\frac{c}{d}\right)\,\left(c-d\,1{}\mathrm{i}\right)}+\frac{a^3\,\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,3{}\mathrm{i}\right)}{d^2\,f\,{\left(d+c\,1{}\mathrm{i}\right)}^2}","Not used",1,"(a^3*(2*c*d - c^2*1i + d^2*1i))/(d^3*f*(tan(e + f*x) + c/d)*(c - d*1i)) - (4*a^3*log(tan(e + f*x) + 1i))/(f*(2*c*d + c^2*1i - d^2*1i)) + (a^3*log(c + d*tan(e + f*x))*(2*c*d + c^2*1i + d^2*3i))/(d^2*f*(c*1i + d)^2)","B"
1090,1,139,93,5.182678,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c + d*tan(e + f*x))^2,x)","-\frac{a^2\,\mathrm{atanh}\left(\frac{c^2+d^2}{{\left(d+c\,1{}\mathrm{i}\right)}^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,c^4\,d^2+4\,c^2\,d^4+2\,d^6\right)}{{\left(d+c\,1{}\mathrm{i}\right)}^2\,\left(c^3\,d+c^2\,d^2\,1{}\mathrm{i}+c\,d^3+d^4\,1{}\mathrm{i}\right)}\right)\,4{}\mathrm{i}}{f\,{\left(d+c\,1{}\mathrm{i}\right)}^2}+\frac{a^2\,\left(c+d\,1{}\mathrm{i}\right)}{d^2\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+\frac{c}{d}\right)\,\left(c-d\,1{}\mathrm{i}\right)}","Not used",1,"(a^2*(c + d*1i))/(d^2*f*(tan(e + f*x) + c/d)*(c - d*1i)) - (a^2*atanh((c^2 + d^2)/(c*1i + d)^2 + (tan(e + f*x)*(2*d^6 + 4*c^2*d^4 + 2*c^4*d^2))/((c*1i + d)^2*(c*d^3 + c^3*d + d^4*1i + c^2*d^2*1i)))*4i)/(f*(c*1i + d)^2)","B"
1091,1,135,75,5.126243,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c + d*tan(e + f*x))^2,x)","-\frac{2\,a\,\mathrm{atan}\left(\frac{\left(c^2+d^2\right)\,1{}\mathrm{i}}{{\left(d+c\,1{}\mathrm{i}\right)}^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,c^4\,d^2+4\,c^2\,d^4+2\,d^6\right)}{{\left(d+c\,1{}\mathrm{i}\right)}^2\,\left(c^3\,d\,1{}\mathrm{i}-c^2\,d^2+c\,d^3\,1{}\mathrm{i}-d^4\right)}\right)}{f\,{\left(d+c\,1{}\mathrm{i}\right)}^2}+\frac{a\,1{}\mathrm{i}}{d\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+\frac{c}{d}\right)\,\left(c-d\,1{}\mathrm{i}\right)}","Not used",1,"(a*1i)/(d*f*(tan(e + f*x) + c/d)*(c - d*1i)) - (2*a*atan(((c^2 + d^2)*1i)/(c*1i + d)^2 - (tan(e + f*x)*(2*d^6 + 4*c^2*d^4 + 2*c^4*d^2))/((c*1i + d)^2*(c*d^3*1i + c^3*d*1i - d^4 - c^2*d^2))))/(f*(c*1i + d)^2)","B"
1092,1,1334,202,8.768683,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^2),x)","\frac{\sum _{k=1}^3\ln\left(-\mathrm{root}\left(a^3\,c^5\,d^5\,e^3\,192{}\mathrm{i}+a^3\,c^7\,d^3\,e^3\,128{}\mathrm{i}+a^3\,c^3\,d^7\,e^3\,128{}\mathrm{i}+48\,a^3\,c^8\,d^2\,e^3-48\,a^3\,c^2\,d^8\,e^3+32\,a^3\,c^6\,d^4\,e^3-32\,a^3\,c^4\,d^6\,e^3+a^3\,c^9\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^9\,e^3\,32{}\mathrm{i}-16\,a^3\,d^{10}\,e^3+16\,a^3\,c^{10}\,e^3+135\,a\,c^2\,d^4\,e+a\,c^3\,d^3\,e\,12{}\mathrm{i}-3\,a\,c^4\,d^2\,e-a\,c\,d^5\,e\,90{}\mathrm{i}+a\,c^5\,d\,e\,6{}\mathrm{i}-21\,a\,d^6\,e+a\,c^6\,e-c^2\,d^2\,3{}\mathrm{i}+14\,c\,d^3-d^4\,5{}\mathrm{i},e,k\right)\,\left(\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(2\,a\,c^6+8{}\mathrm{i}\,a\,c^5\,d-2\,a\,c^4\,d^2+16{}\mathrm{i}\,a\,c^3\,d^3-10\,a\,c^2\,d^4+8{}\mathrm{i}\,a\,c\,d^5-6\,a\,d^6\right)+\mathrm{root}\left(a^3\,c^5\,d^5\,e^3\,192{}\mathrm{i}+a^3\,c^7\,d^3\,e^3\,128{}\mathrm{i}+a^3\,c^3\,d^7\,e^3\,128{}\mathrm{i}+48\,a^3\,c^8\,d^2\,e^3-48\,a^3\,c^2\,d^8\,e^3+32\,a^3\,c^6\,d^4\,e^3-32\,a^3\,c^4\,d^6\,e^3+a^3\,c^9\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^9\,e^3\,32{}\mathrm{i}-16\,a^3\,d^{10}\,e^3+16\,a^3\,c^{10}\,e^3+135\,a\,c^2\,d^4\,e+a\,c^3\,d^3\,e\,12{}\mathrm{i}-3\,a\,c^4\,d^2\,e-a\,c\,d^5\,e\,90{}\mathrm{i}+a\,c^5\,d\,e\,6{}\mathrm{i}-21\,a\,d^6\,e+a\,c^6\,e-c^2\,d^2\,3{}\mathrm{i}+14\,c\,d^3-d^4\,5{}\mathrm{i},e,k\right)\,\left(\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(32\,a^2\,c^7\,d+a^2\,c^6\,d^2\,64{}\mathrm{i}+32\,a^2\,c^5\,d^3+a^2\,c^4\,d^4\,128{}\mathrm{i}-32\,a^2\,c^3\,d^5+a^2\,c^2\,d^6\,64{}\mathrm{i}-32\,a^2\,c\,d^7\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(-8\,a^2\,c^8-a^2\,c^7\,d\,16{}\mathrm{i}+16\,a^2\,c^6\,d^2+a^2\,c^5\,d^3\,16{}\mathrm{i}+32\,a^2\,c^4\,d^4+a^2\,c^3\,d^5\,80{}\mathrm{i}-16\,a^2\,c^2\,d^6+a^2\,c\,d^7\,48{}\mathrm{i}-24\,a^2\,d^8\right)\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(4\,a\,c^5\,d+28{}\mathrm{i}\,a\,c^4\,d^2-8\,a\,c^3\,d^3+40{}\mathrm{i}\,a\,c^2\,d^4-12\,a\,c\,d^5+12{}\mathrm{i}\,a\,d^6\right)\right)-\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(c^3\,d+11\,c\,d^3-d^4\,6{}\mathrm{i}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(-c^2\,d^2+c\,d^3\,6{}\mathrm{i}+9\,d^4\right)\right)\,\mathrm{root}\left(a^3\,c^5\,d^5\,e^3\,192{}\mathrm{i}+a^3\,c^7\,d^3\,e^3\,128{}\mathrm{i}+a^3\,c^3\,d^7\,e^3\,128{}\mathrm{i}+48\,a^3\,c^8\,d^2\,e^3-48\,a^3\,c^2\,d^8\,e^3+32\,a^3\,c^6\,d^4\,e^3-32\,a^3\,c^4\,d^6\,e^3+a^3\,c^9\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^9\,e^3\,32{}\mathrm{i}-16\,a^3\,d^{10}\,e^3+16\,a^3\,c^{10}\,e^3+135\,a\,c^2\,d^4\,e+a\,c^3\,d^3\,e\,12{}\mathrm{i}-3\,a\,c^4\,d^2\,e-a\,c\,d^5\,e\,90{}\mathrm{i}+a\,c^5\,d\,e\,6{}\mathrm{i}-21\,a\,d^6\,e+a\,c^6\,e-c^2\,d^2\,3{}\mathrm{i}+14\,c\,d^3-d^4\,5{}\mathrm{i},e,k\right)}{f}-\frac{\frac{-2\,c^2+c\,d\,2{}\mathrm{i}+4\,d^2}{4\,a\,d\,\left(c^3+c^2\,d\,1{}\mathrm{i}+c\,d^2+d^3\,1{}\mathrm{i}\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(c-d\,3{}\mathrm{i}\right)}{2\,a\,\left(c^3+c^2\,d\,1{}\mathrm{i}+c\,d^2+d^3\,1{}\mathrm{i}\right)}}{f\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{c}{d}-\mathrm{i}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2-\frac{c\,1{}\mathrm{i}}{d}\right)}","Not used",1,"symsum(log(tan(e + f*x)*(a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(c*d^3*6i + 9*d^4 - c^2*d^2) - (a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(11*c*d^3 + c^3*d - d^4*6i) - root(a^3*c^5*d^5*e^3*192i + a^3*c^7*d^3*e^3*128i + a^3*c^3*d^7*e^3*128i + 48*a^3*c^8*d^2*e^3 - 48*a^3*c^2*d^8*e^3 + 32*a^3*c^6*d^4*e^3 - 32*a^3*c^4*d^6*e^3 + a^3*c^9*d*e^3*32i + a^3*c*d^9*e^3*32i - 16*a^3*d^10*e^3 + 16*a^3*c^10*e^3 + 135*a*c^2*d^4*e + a*c^3*d^3*e*12i - 3*a*c^4*d^2*e - a*c*d^5*e*90i + a*c^5*d*e*6i - 21*a*d^6*e + a*c^6*e - c^2*d^2*3i + 14*c*d^3 - d^4*5i, e, k)*((a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(2*a*c^6 - 6*a*d^6 - 10*a*c^2*d^4 + a*c^3*d^3*16i - 2*a*c^4*d^2 + a*c*d^5*8i + a*c^5*d*8i) + root(a^3*c^5*d^5*e^3*192i + a^3*c^7*d^3*e^3*128i + a^3*c^3*d^7*e^3*128i + 48*a^3*c^8*d^2*e^3 - 48*a^3*c^2*d^8*e^3 + 32*a^3*c^6*d^4*e^3 - 32*a^3*c^4*d^6*e^3 + a^3*c^9*d*e^3*32i + a^3*c*d^9*e^3*32i - 16*a^3*d^10*e^3 + 16*a^3*c^10*e^3 + 135*a*c^2*d^4*e + a*c^3*d^3*e*12i - 3*a*c^4*d^2*e - a*c*d^5*e*90i + a*c^5*d*e*6i - 21*a*d^6*e + a*c^6*e - c^2*d^2*3i + 14*c*d^3 - d^4*5i, e, k)*((a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(32*a^2*c^7*d - 32*a^2*c*d^7 + a^2*c^2*d^6*64i - 32*a^2*c^3*d^5 + a^2*c^4*d^4*128i + 32*a^2*c^5*d^3 + a^2*c^6*d^2*64i) + tan(e + f*x)*(a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(a^2*c*d^7*48i - 24*a^2*d^8 - 8*a^2*c^8 - a^2*c^7*d*16i - 16*a^2*c^2*d^6 + a^2*c^3*d^5*80i + 32*a^2*c^4*d^4 + a^2*c^5*d^3*16i + 16*a^2*c^6*d^2)) + tan(e + f*x)*(a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(a*d^6*12i + a*c^2*d^4*40i - 8*a*c^3*d^3 + a*c^4*d^2*28i - 12*a*c*d^5 + 4*a*c^5*d)))*root(a^3*c^5*d^5*e^3*192i + a^3*c^7*d^3*e^3*128i + a^3*c^3*d^7*e^3*128i + 48*a^3*c^8*d^2*e^3 - 48*a^3*c^2*d^8*e^3 + 32*a^3*c^6*d^4*e^3 - 32*a^3*c^4*d^6*e^3 + a^3*c^9*d*e^3*32i + a^3*c*d^9*e^3*32i - 16*a^3*d^10*e^3 + 16*a^3*c^10*e^3 + 135*a*c^2*d^4*e + a*c^3*d^3*e*12i - 3*a*c^4*d^2*e - a*c*d^5*e*90i + a*c^5*d*e*6i - 21*a*d^6*e + a*c^6*e - c^2*d^2*3i + 14*c*d^3 - d^4*5i, e, k), k, 1, 3)/f - ((c*d*2i - 2*c^2 + 4*d^2)/(4*a*d*(c*d^2 + c^2*d*1i + c^3 + d^3*1i)) - (tan(e + f*x)*(c - d*3i))/(2*a*(c*d^2 + c^2*d*1i + c^3 + d^3*1i)))/(f*(tan(e + f*x)*(c/d - 1i) - (c*1i)/d + tan(e + f*x)^2))","B"
1093,1,1984,271,10.328845,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^2),x)","\frac{\sum _{k=1}^3\ln\left(\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(c^5\,d+c^4\,d^2\,8{}\mathrm{i}-14\,c^3\,d^3+c^2\,d^4\,16{}\mathrm{i}-95\,c\,d^5+d^6\,72{}\mathrm{i}\right)-\mathrm{root}\left(1792\,a^6\,c^6\,d^6\,e^3+1088\,a^6\,c^8\,d^4\,e^3+1088\,a^6\,c^4\,d^8\,e^3-a^6\,c^9\,d^3\,e^3\,768{}\mathrm{i}+a^6\,c^3\,d^9\,e^3\,768{}\mathrm{i}-a^6\,c^7\,d^5\,e^3\,512{}\mathrm{i}+a^6\,c^5\,d^7\,e^3\,512{}\mathrm{i}+128\,a^6\,c^{10}\,d^2\,e^3+128\,a^6\,c^2\,d^{10}\,e^3-a^6\,c^{11}\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^{11}\,e^3\,256{}\mathrm{i}-64\,a^6\,d^{12}\,e^3-64\,a^6\,c^{12}\,e^3-a^2\,c\,d^7\,e\,984{}\mathrm{i}-a^2\,c^7\,d\,e\,8{}\mathrm{i}+1020\,a^2\,c^2\,d^6\,e+a^2\,c^3\,d^5\,e\,72{}\mathrm{i}+42\,a^2\,c^4\,d^4\,e+a^2\,c^5\,d^3\,e\,24{}\mathrm{i}+28\,a^2\,c^6\,d^2\,e-273\,a^2\,d^8\,e-a^2\,c^8\,e-c^2\,d^4\,22{}\mathrm{i}-4\,c^3\,d^3+56\,c\,d^5-d^6\,34{}\mathrm{i},e,k\right)\,\left(\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(-4\,a^2\,c^8-a^2\,c^7\,d\,24{}\mathrm{i}+64\,a^2\,c^6\,d^2+a^2\,c^5\,d^3\,40{}\mathrm{i}+104\,a^2\,c^4\,d^4+a^2\,c^3\,d^5\,152{}\mathrm{i}+a^2\,c\,d^7\,88{}\mathrm{i}-36\,a^2\,d^8\right)+\mathrm{root}\left(1792\,a^6\,c^6\,d^6\,e^3+1088\,a^6\,c^8\,d^4\,e^3+1088\,a^6\,c^4\,d^8\,e^3-a^6\,c^9\,d^3\,e^3\,768{}\mathrm{i}+a^6\,c^3\,d^9\,e^3\,768{}\mathrm{i}-a^6\,c^7\,d^5\,e^3\,512{}\mathrm{i}+a^6\,c^5\,d^7\,e^3\,512{}\mathrm{i}+128\,a^6\,c^{10}\,d^2\,e^3+128\,a^6\,c^2\,d^{10}\,e^3-a^6\,c^{11}\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^{11}\,e^3\,256{}\mathrm{i}-64\,a^6\,d^{12}\,e^3-64\,a^6\,c^{12}\,e^3-a^2\,c\,d^7\,e\,984{}\mathrm{i}-a^2\,c^7\,d\,e\,8{}\mathrm{i}+1020\,a^2\,c^2\,d^6\,e+a^2\,c^3\,d^5\,e\,72{}\mathrm{i}+42\,a^2\,c^4\,d^4\,e+a^2\,c^5\,d^3\,e\,24{}\mathrm{i}+28\,a^2\,c^6\,d^2\,e-273\,a^2\,d^8\,e-a^2\,c^8\,e-c^2\,d^4\,22{}\mathrm{i}-4\,c^3\,d^3+56\,c\,d^5-d^6\,34{}\mathrm{i},e,k\right)\,\left(\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(-128\,a^4\,c^9\,d-a^4\,c^8\,d^2\,512{}\mathrm{i}+512\,a^4\,c^7\,d^3-a^4\,c^6\,d^4\,512{}\mathrm{i}+1280\,a^4\,c^5\,d^5+a^4\,c^4\,d^6\,512{}\mathrm{i}+512\,a^4\,c^3\,d^7+a^4\,c^2\,d^8\,512{}\mathrm{i}-128\,a^4\,c\,d^9\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(32\,a^4\,c^{10}+a^4\,c^9\,d\,128{}\mathrm{i}-224\,a^4\,c^8\,d^2-a^4\,c^7\,d^3\,256{}\mathrm{i}+64\,a^4\,c^6\,d^4-a^4\,c^5\,d^5\,512{}\mathrm{i}+832\,a^4\,c^4\,d^6+a^4\,c^3\,d^7\,256{}\mathrm{i}+416\,a^4\,c^2\,d^8+a^4\,c\,d^9\,384{}\mathrm{i}-96\,a^4\,d^{10}\right)\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(-8\,a^2\,c^7\,d-a^2\,c^6\,d^2\,48{}\mathrm{i}+184\,a^2\,c^5\,d^3+a^2\,c^4\,d^4\,128{}\mathrm{i}+264\,a^2\,c^3\,d^5+a^2\,c^2\,d^6\,272{}\mathrm{i}+72\,a^2\,c\,d^7+a^2\,d^8\,96{}\mathrm{i}\right)\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(c^4\,d^2+c^3\,d^3\,8{}\mathrm{i}+2\,c^2\,d^4+c\,d^5\,72{}\mathrm{i}+81\,d^6\right)\right)\,\mathrm{root}\left(1792\,a^6\,c^6\,d^6\,e^3+1088\,a^6\,c^8\,d^4\,e^3+1088\,a^6\,c^4\,d^8\,e^3-a^6\,c^9\,d^3\,e^3\,768{}\mathrm{i}+a^6\,c^3\,d^9\,e^3\,768{}\mathrm{i}-a^6\,c^7\,d^5\,e^3\,512{}\mathrm{i}+a^6\,c^5\,d^7\,e^3\,512{}\mathrm{i}+128\,a^6\,c^{10}\,d^2\,e^3+128\,a^6\,c^2\,d^{10}\,e^3-a^6\,c^{11}\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^{11}\,e^3\,256{}\mathrm{i}-64\,a^6\,d^{12}\,e^3-64\,a^6\,c^{12}\,e^3-a^2\,c\,d^7\,e\,984{}\mathrm{i}-a^2\,c^7\,d\,e\,8{}\mathrm{i}+1020\,a^2\,c^2\,d^6\,e+a^2\,c^3\,d^5\,e\,72{}\mathrm{i}+42\,a^2\,c^4\,d^4\,e+a^2\,c^5\,d^3\,e\,24{}\mathrm{i}+28\,a^2\,c^6\,d^2\,e-273\,a^2\,d^8\,e-a^2\,c^8\,e-c^2\,d^4\,22{}\mathrm{i}-4\,c^3\,d^3+56\,c\,d^5-d^6\,34{}\mathrm{i},e,k\right)}{f}+\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(c^2+c\,d\,4{}\mathrm{i}+9\,d^2\right)}{4\,a^2\,\left(c^4+c^3\,d\,2{}\mathrm{i}+c\,d^3\,2{}\mathrm{i}-d^4\right)}-\frac{\left(3\,c^3+c^2\,d\,6{}\mathrm{i}+9\,c\,d^2-d^3\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{6\,a^2\,d\,\left(c^2+d^2\right)\,\left(c^2+c\,d\,2{}\mathrm{i}-d^2\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,c^3+c^2\,d\,4{}\mathrm{i}+18\,c\,d^2-d^3\,28{}\mathrm{i}\right)}{8\,a^2\,d\,\left(c^4+c^3\,d\,2{}\mathrm{i}+c\,d^3\,2{}\mathrm{i}-d^4\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{c}{d}-2{}\mathrm{i}\right)-\frac{c}{d}-\mathrm{tan}\left(e+f\,x\right)\,\left(1+\frac{c\,2{}\mathrm{i}}{d}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\right)}","Not used",1,"symsum(log((a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(c^5*d - 95*c*d^5 + d^6*72i + c^2*d^4*16i - 14*c^3*d^3 + c^4*d^2*8i) - root(1792*a^6*c^6*d^6*e^3 + 1088*a^6*c^8*d^4*e^3 + 1088*a^6*c^4*d^8*e^3 - a^6*c^9*d^3*e^3*768i + a^6*c^3*d^9*e^3*768i - a^6*c^7*d^5*e^3*512i + a^6*c^5*d^7*e^3*512i + 128*a^6*c^10*d^2*e^3 + 128*a^6*c^2*d^10*e^3 - a^6*c^11*d*e^3*256i + a^6*c*d^11*e^3*256i - 64*a^6*d^12*e^3 - 64*a^6*c^12*e^3 - a^2*c*d^7*e*984i - a^2*c^7*d*e*8i + 1020*a^2*c^2*d^6*e + a^2*c^3*d^5*e*72i + 42*a^2*c^4*d^4*e + a^2*c^5*d^3*e*24i + 28*a^2*c^6*d^2*e - 273*a^2*d^8*e - a^2*c^8*e - c^2*d^4*22i - 4*c^3*d^3 + 56*c*d^5 - d^6*34i, e, k)*((a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(a^2*c*d^7*88i - 36*a^2*d^8 - 4*a^2*c^8 - a^2*c^7*d*24i + a^2*c^3*d^5*152i + 104*a^2*c^4*d^4 + a^2*c^5*d^3*40i + 64*a^2*c^6*d^2) + root(1792*a^6*c^6*d^6*e^3 + 1088*a^6*c^8*d^4*e^3 + 1088*a^6*c^4*d^8*e^3 - a^6*c^9*d^3*e^3*768i + a^6*c^3*d^9*e^3*768i - a^6*c^7*d^5*e^3*512i + a^6*c^5*d^7*e^3*512i + 128*a^6*c^10*d^2*e^3 + 128*a^6*c^2*d^10*e^3 - a^6*c^11*d*e^3*256i + a^6*c*d^11*e^3*256i - 64*a^6*d^12*e^3 - 64*a^6*c^12*e^3 - a^2*c*d^7*e*984i - a^2*c^7*d*e*8i + 1020*a^2*c^2*d^6*e + a^2*c^3*d^5*e*72i + 42*a^2*c^4*d^4*e + a^2*c^5*d^3*e*24i + 28*a^2*c^6*d^2*e - 273*a^2*d^8*e - a^2*c^8*e - c^2*d^4*22i - 4*c^3*d^3 + 56*c*d^5 - d^6*34i, e, k)*((a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(a^4*c^2*d^8*512i - 128*a^4*c^9*d - 128*a^4*c*d^9 + 512*a^4*c^3*d^7 + a^4*c^4*d^6*512i + 1280*a^4*c^5*d^5 - a^4*c^6*d^4*512i + 512*a^4*c^7*d^3 - a^4*c^8*d^2*512i) + tan(e + f*x)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(32*a^4*c^10 - 96*a^4*d^10 + a^4*c*d^9*384i + a^4*c^9*d*128i + 416*a^4*c^2*d^8 + a^4*c^3*d^7*256i + 832*a^4*c^4*d^6 - a^4*c^5*d^5*512i + 64*a^4*c^6*d^4 - a^4*c^7*d^3*256i - 224*a^4*c^8*d^2)) + tan(e + f*x)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(a^2*d^8*96i + 72*a^2*c*d^7 - 8*a^2*c^7*d + a^2*c^2*d^6*272i + 264*a^2*c^3*d^5 + a^2*c^4*d^4*128i + 184*a^2*c^5*d^3 - a^2*c^6*d^2*48i)) + tan(e + f*x)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(c*d^5*72i + 81*d^6 + 2*c^2*d^4 + c^3*d^3*8i + c^4*d^2))*root(1792*a^6*c^6*d^6*e^3 + 1088*a^6*c^8*d^4*e^3 + 1088*a^6*c^4*d^8*e^3 - a^6*c^9*d^3*e^3*768i + a^6*c^3*d^9*e^3*768i - a^6*c^7*d^5*e^3*512i + a^6*c^5*d^7*e^3*512i + 128*a^6*c^10*d^2*e^3 + 128*a^6*c^2*d^10*e^3 - a^6*c^11*d*e^3*256i + a^6*c*d^11*e^3*256i - 64*a^6*d^12*e^3 - 64*a^6*c^12*e^3 - a^2*c*d^7*e*984i - a^2*c^7*d*e*8i + 1020*a^2*c^2*d^6*e + a^2*c^3*d^5*e*72i + 42*a^2*c^4*d^4*e + a^2*c^5*d^3*e*24i + 28*a^2*c^6*d^2*e - 273*a^2*d^8*e - a^2*c^8*e - c^2*d^4*22i - 4*c^3*d^3 + 56*c*d^5 - d^6*34i, e, k), k, 1, 3)/f + ((tan(e + f*x)^2*(c*d*4i + c^2 + 9*d^2))/(4*a^2*(c*d^3*2i + c^3*d*2i + c^4 - d^4)) - ((9*c*d^2 + c^2*d*6i + 3*c^3 - d^3*6i)*1i)/(6*a^2*d*(c^2 + d^2)*(c*d*2i + c^2 - d^2)) + (tan(e + f*x)*(18*c*d^2 + c^2*d*4i + 2*c^3 - d^3*28i))/(8*a^2*d*(c*d^3*2i + c^3*d*2i + c^4 - d^4)))/(f*(tan(e + f*x)^2*(c/d - 2i) - c/d - tan(e + f*x)*((c*2i)/d + 1) + tan(e + f*x)^3))","B"
1094,1,2653,357,11.671537,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^2),x)","\frac{\sum _{k=1}^3\ln\left(-\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(c^7\,d+c^6\,d^2\,10{}\mathrm{i}-47\,c^5\,d^3-c^4\,d^4\,100{}\mathrm{i}+47\,c^3\,d^5-c^2\,d^6\,230{}\mathrm{i}+639\,c\,d^7-d^8\,600{}\mathrm{i}\right)-\mathrm{root}\left(a^9\,c^7\,d^7\,e^3\,18432{}\mathrm{i}+9984\,a^9\,c^{10}\,d^4\,e^3-9984\,a^9\,c^4\,d^{10}\,e^3+a^9\,c^9\,d^5\,e^3\,9728{}\mathrm{i}+a^9\,c^5\,d^9\,e^3\,9728{}\mathrm{i}+6912\,a^9\,c^8\,d^6\,e^3-6912\,a^9\,c^6\,d^8\,e^3+2816\,a^9\,c^{12}\,d^2\,e^3-2816\,a^9\,c^2\,d^{12}\,e^3-a^9\,c^{11}\,d^3\,e^3\,1024{}\mathrm{i}-a^9\,c^3\,d^{11}\,e^3\,1024{}\mathrm{i}-a^9\,c^{13}\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^{13}\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{14}\,e^3-256\,a^9\,c^{14}\,e^3+a^3\,c\,d^9\,e\,7510{}\mathrm{i}-a^3\,c^9\,d\,e\,10{}\mathrm{i}-6525\,a^3\,c^2\,d^8\,e-350\,a^3\,c^4\,d^6\,e-a^3\,c^3\,d^7\,e\,200{}\mathrm{i}-130\,a^3\,c^6\,d^4\,e+a^3\,c^7\,d^3\,e\,120{}\mathrm{i}+a^3\,c^5\,d^5\,e\,100{}\mathrm{i}+45\,a^3\,c^8\,d^2\,e+2353\,a^3\,d^{10}\,e-a^3\,c^{10}\,e+c^2\,d^6\,94{}\mathrm{i}+32\,c^3\,d^5-c^4\,d^4\,5{}\mathrm{i}-176\,c\,d^7+d^8\,147{}\mathrm{i},e,k\right)\,\left(-\mathrm{root}\left(a^9\,c^7\,d^7\,e^3\,18432{}\mathrm{i}+9984\,a^9\,c^{10}\,d^4\,e^3-9984\,a^9\,c^4\,d^{10}\,e^3+a^9\,c^9\,d^5\,e^3\,9728{}\mathrm{i}+a^9\,c^5\,d^9\,e^3\,9728{}\mathrm{i}+6912\,a^9\,c^8\,d^6\,e^3-6912\,a^9\,c^6\,d^8\,e^3+2816\,a^9\,c^{12}\,d^2\,e^3-2816\,a^9\,c^2\,d^{12}\,e^3-a^9\,c^{11}\,d^3\,e^3\,1024{}\mathrm{i}-a^9\,c^3\,d^{11}\,e^3\,1024{}\mathrm{i}-a^9\,c^{13}\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^{13}\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{14}\,e^3-256\,a^9\,c^{14}\,e^3+a^3\,c\,d^9\,e\,7510{}\mathrm{i}-a^3\,c^9\,d\,e\,10{}\mathrm{i}-6525\,a^3\,c^2\,d^8\,e-350\,a^3\,c^4\,d^6\,e-a^3\,c^3\,d^7\,e\,200{}\mathrm{i}-130\,a^3\,c^6\,d^4\,e+a^3\,c^7\,d^3\,e\,120{}\mathrm{i}+a^3\,c^5\,d^5\,e\,100{}\mathrm{i}+45\,a^3\,c^8\,d^2\,e+2353\,a^3\,d^{10}\,e-a^3\,c^{10}\,e+c^2\,d^6\,94{}\mathrm{i}+32\,c^3\,d^5-c^4\,d^4\,5{}\mathrm{i}-176\,c\,d^7+d^8\,147{}\mathrm{i},e,k\right)\,\left(\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(-512\,a^6\,c^{11}\,d-a^6\,c^{10}\,d^2\,3072{}\mathrm{i}+6656\,a^6\,c^9\,d^3+a^6\,c^8\,d^4\,4096{}\mathrm{i}+7168\,a^6\,c^7\,d^5+a^6\,c^6\,d^6\,14336{}\mathrm{i}-7168\,a^6\,c^5\,d^7+a^6\,c^4\,d^8\,4096{}\mathrm{i}-6656\,a^6\,c^3\,d^9-a^6\,c^2\,d^{10}\,3072{}\mathrm{i}+512\,a^6\,c\,d^{11}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(128\,a^6\,c^{12}+a^6\,c^{11}\,d\,768{}\mathrm{i}-2048\,a^6\,c^{10}\,d^2-a^6\,c^9\,d^3\,3328{}\mathrm{i}+3200\,a^6\,c^8\,d^4-a^6\,c^7\,d^5\,512{}\mathrm{i}+7168\,a^6\,c^6\,d^6+a^6\,c^5\,d^7\,9728{}\mathrm{i}-3712\,a^6\,c^4\,d^8+a^6\,c^3\,d^9\,3840{}\mathrm{i}-5120\,a^6\,c^2\,d^{10}-a^6\,c\,d^{11}\,2304{}\mathrm{i}+384\,a^6\,d^{12}\right)\right)+\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(8\,a^3\,c^{10}+a^3\,c^9\,d\,64{}\mathrm{i}-232\,a^3\,c^8\,d^2-a^3\,c^7\,d^3\,512{}\mathrm{i}+464\,a^3\,c^6\,d^4-a^3\,c^5\,d^5\,512{}\mathrm{i}+1456\,a^3\,c^4\,d^6+a^3\,c^3\,d^7\,768{}\mathrm{i}+552\,a^3\,c^2\,d^8+a^3\,c\,d^9\,704{}\mathrm{i}-200\,a^3\,d^{10}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(16\,a^3\,c^9\,d+a^3\,c^8\,d^2\,128{}\mathrm{i}-448\,a^3\,c^7\,d^3-a^3\,c^6\,d^4\,1216{}\mathrm{i}+1248\,a^3\,c^5\,d^5-a^3\,c^4\,d^6\,1216{}\mathrm{i}+2880\,a^3\,c^3\,d^7+a^3\,c^2\,d^8\,704{}\mathrm{i}+1168\,a^3\,c\,d^9+a^3\,d^{10}\,576{}\mathrm{i}\right)\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-c^6\,d^2-c^5\,d^3\,10{}\mathrm{i}+47\,c^4\,d^4+c^3\,d^5\,60{}\mathrm{i}+129\,c^2\,d^6+c\,d^7\,550{}\mathrm{i}+625\,d^8\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\right)\,\mathrm{root}\left(a^9\,c^7\,d^7\,e^3\,18432{}\mathrm{i}+9984\,a^9\,c^{10}\,d^4\,e^3-9984\,a^9\,c^4\,d^{10}\,e^3+a^9\,c^9\,d^5\,e^3\,9728{}\mathrm{i}+a^9\,c^5\,d^9\,e^3\,9728{}\mathrm{i}+6912\,a^9\,c^8\,d^6\,e^3-6912\,a^9\,c^6\,d^8\,e^3+2816\,a^9\,c^{12}\,d^2\,e^3-2816\,a^9\,c^2\,d^{12}\,e^3-a^9\,c^{11}\,d^3\,e^3\,1024{}\mathrm{i}-a^9\,c^3\,d^{11}\,e^3\,1024{}\mathrm{i}-a^9\,c^{13}\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^{13}\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{14}\,e^3-256\,a^9\,c^{14}\,e^3+a^3\,c\,d^9\,e\,7510{}\mathrm{i}-a^3\,c^9\,d\,e\,10{}\mathrm{i}-6525\,a^3\,c^2\,d^8\,e-350\,a^3\,c^4\,d^6\,e-a^3\,c^3\,d^7\,e\,200{}\mathrm{i}-130\,a^3\,c^6\,d^4\,e+a^3\,c^7\,d^3\,e\,120{}\mathrm{i}+a^3\,c^5\,d^5\,e\,100{}\mathrm{i}+45\,a^3\,c^8\,d^2\,e+2353\,a^3\,d^{10}\,e-a^3\,c^{10}\,e+c^2\,d^6\,94{}\mathrm{i}+32\,c^3\,d^5-c^4\,d^4\,5{}\mathrm{i}-176\,c\,d^7+d^8\,147{}\mathrm{i},e,k\right)}{f}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(c^3+c^2\,d\,5{}\mathrm{i}-11\,c\,d^2+d^3\,25{}\mathrm{i}\right)}{8\,a^3\,\left(-c^5-c^4\,d\,3{}\mathrm{i}+2\,c^3\,d^2-c^2\,d^3\,2{}\mathrm{i}+3\,c\,d^4+d^5\,1{}\mathrm{i}\right)}-\frac{40\,c^4+c^3\,d\,136{}\mathrm{i}-104\,c^2\,d^2+c\,d^3\,280{}\mathrm{i}+96\,d^4}{96\,a^3\,d\,\left(-c^5-c^4\,d\,3{}\mathrm{i}+2\,c^3\,d^2-c^2\,d^3\,2{}\mathrm{i}+3\,c\,d^4+d^5\,1{}\mathrm{i}\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,c^4+c^3\,d\,4{}\mathrm{i}+8\,c^2\,d^2+c\,d^3\,76{}\mathrm{i}+126\,d^4\right)}{16\,a^3\,d\,\left(-c^5-c^4\,d\,3{}\mathrm{i}+2\,c^3\,d^2-c^2\,d^3\,2{}\mathrm{i}+3\,c\,d^4+d^5\,1{}\mathrm{i}\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,c^4+c^3\,d\,35{}\mathrm{i}-29\,c^2\,d^2+c\,d^3\,143{}\mathrm{i}+142\,d^4\right)\,1{}\mathrm{i}}{24\,a^3\,d\,\left(-c^5-c^4\,d\,3{}\mathrm{i}+2\,c^3\,d^2-c^2\,d^3\,2{}\mathrm{i}+3\,c\,d^4+d^5\,1{}\mathrm{i}\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{c}{d}-3{}\mathrm{i}\right)-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3+\frac{c\,3{}\mathrm{i}}{d}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,c}{d}-\mathrm{i}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4+\frac{c\,1{}\mathrm{i}}{d}\right)}","Not used",1,"symsum(log(tan(e + f*x)*(c*d^7*550i + 625*d^8 + 129*c^2*d^6 + c^3*d^5*60i + 47*c^4*d^4 - c^5*d^3*10i - c^6*d^2)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2) - root(a^9*c^7*d^7*e^3*18432i + 9984*a^9*c^10*d^4*e^3 - 9984*a^9*c^4*d^10*e^3 + a^9*c^9*d^5*e^3*9728i + a^9*c^5*d^9*e^3*9728i + 6912*a^9*c^8*d^6*e^3 - 6912*a^9*c^6*d^8*e^3 + 2816*a^9*c^12*d^2*e^3 - 2816*a^9*c^2*d^12*e^3 - a^9*c^11*d^3*e^3*1024i - a^9*c^3*d^11*e^3*1024i - a^9*c^13*d*e^3*1536i - a^9*c*d^13*e^3*1536i + 256*a^9*d^14*e^3 - 256*a^9*c^14*e^3 + a^3*c*d^9*e*7510i - a^3*c^9*d*e*10i - 6525*a^3*c^2*d^8*e - 350*a^3*c^4*d^6*e - a^3*c^3*d^7*e*200i - 130*a^3*c^6*d^4*e + a^3*c^7*d^3*e*120i + a^3*c^5*d^5*e*100i + 45*a^3*c^8*d^2*e + 2353*a^3*d^10*e - a^3*c^10*e + c^2*d^6*94i + 32*c^3*d^5 - c^4*d^4*5i - 176*c*d^7 + d^8*147i, e, k)*((a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(8*a^3*c^10 - 200*a^3*d^10 + a^3*c*d^9*704i + a^3*c^9*d*64i + 552*a^3*c^2*d^8 + a^3*c^3*d^7*768i + 1456*a^3*c^4*d^6 - a^3*c^5*d^5*512i + 464*a^3*c^6*d^4 - a^3*c^7*d^3*512i - 232*a^3*c^8*d^2) - root(a^9*c^7*d^7*e^3*18432i + 9984*a^9*c^10*d^4*e^3 - 9984*a^9*c^4*d^10*e^3 + a^9*c^9*d^5*e^3*9728i + a^9*c^5*d^9*e^3*9728i + 6912*a^9*c^8*d^6*e^3 - 6912*a^9*c^6*d^8*e^3 + 2816*a^9*c^12*d^2*e^3 - 2816*a^9*c^2*d^12*e^3 - a^9*c^11*d^3*e^3*1024i - a^9*c^3*d^11*e^3*1024i - a^9*c^13*d*e^3*1536i - a^9*c*d^13*e^3*1536i + 256*a^9*d^14*e^3 - 256*a^9*c^14*e^3 + a^3*c*d^9*e*7510i - a^3*c^9*d*e*10i - 6525*a^3*c^2*d^8*e - 350*a^3*c^4*d^6*e - a^3*c^3*d^7*e*200i - 130*a^3*c^6*d^4*e + a^3*c^7*d^3*e*120i + a^3*c^5*d^5*e*100i + 45*a^3*c^8*d^2*e + 2353*a^3*d^10*e - a^3*c^10*e + c^2*d^6*94i + 32*c^3*d^5 - c^4*d^4*5i - 176*c*d^7 + d^8*147i, e, k)*((a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(512*a^6*c*d^11 - 512*a^6*c^11*d - a^6*c^2*d^10*3072i - 6656*a^6*c^3*d^9 + a^6*c^4*d^8*4096i - 7168*a^6*c^5*d^7 + a^6*c^6*d^6*14336i + 7168*a^6*c^7*d^5 + a^6*c^8*d^4*4096i + 6656*a^6*c^9*d^3 - a^6*c^10*d^2*3072i) + tan(e + f*x)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(128*a^6*c^12 + 384*a^6*d^12 - a^6*c*d^11*2304i + a^6*c^11*d*768i - 5120*a^6*c^2*d^10 + a^6*c^3*d^9*3840i - 3712*a^6*c^4*d^8 + a^6*c^5*d^7*9728i + 7168*a^6*c^6*d^6 - a^6*c^7*d^5*512i + 3200*a^6*c^8*d^4 - a^6*c^9*d^3*3328i - 2048*a^6*c^10*d^2)) + tan(e + f*x)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(a^3*d^10*576i + 1168*a^3*c*d^9 + 16*a^3*c^9*d + a^3*c^2*d^8*704i + 2880*a^3*c^3*d^7 - a^3*c^4*d^6*1216i + 1248*a^3*c^5*d^5 - a^3*c^6*d^4*1216i - 448*a^3*c^7*d^3 + a^3*c^8*d^2*128i)) - (a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(639*c*d^7 + c^7*d - d^8*600i - c^2*d^6*230i + 47*c^3*d^5 - c^4*d^4*100i - 47*c^5*d^3 + c^6*d^2*10i))*root(a^9*c^7*d^7*e^3*18432i + 9984*a^9*c^10*d^4*e^3 - 9984*a^9*c^4*d^10*e^3 + a^9*c^9*d^5*e^3*9728i + a^9*c^5*d^9*e^3*9728i + 6912*a^9*c^8*d^6*e^3 - 6912*a^9*c^6*d^8*e^3 + 2816*a^9*c^12*d^2*e^3 - 2816*a^9*c^2*d^12*e^3 - a^9*c^11*d^3*e^3*1024i - a^9*c^3*d^11*e^3*1024i - a^9*c^13*d*e^3*1536i - a^9*c*d^13*e^3*1536i + 256*a^9*d^14*e^3 - 256*a^9*c^14*e^3 + a^3*c*d^9*e*7510i - a^3*c^9*d*e*10i - 6525*a^3*c^2*d^8*e - 350*a^3*c^4*d^6*e - a^3*c^3*d^7*e*200i - 130*a^3*c^6*d^4*e + a^3*c^7*d^3*e*120i + a^3*c^5*d^5*e*100i + 45*a^3*c^8*d^2*e + 2353*a^3*d^10*e - a^3*c^10*e + c^2*d^6*94i + 32*c^3*d^5 - c^4*d^4*5i - 176*c*d^7 + d^8*147i, e, k), k, 1, 3)/f - ((tan(e + f*x)^3*(c^2*d*5i - 11*c*d^2 + c^3 + d^3*25i))/(8*a^3*(3*c*d^4 - c^4*d*3i - c^5 + d^5*1i - c^2*d^3*2i + 2*c^3*d^2)) - (c*d^3*280i + c^3*d*136i + 40*c^4 + 96*d^4 - 104*c^2*d^2)/(96*a^3*d*(3*c*d^4 - c^4*d*3i - c^5 + d^5*1i - c^2*d^3*2i + 2*c^3*d^2)) + (tan(e + f*x)^2*(c*d^3*76i + c^3*d*4i + 2*c^4 + 126*d^4 + 8*c^2*d^2))/(16*a^3*d*(3*c*d^4 - c^4*d*3i - c^5 + d^5*1i - c^2*d^3*2i + 2*c^3*d^2)) - (tan(e + f*x)*(c*d^3*143i + c^3*d*35i + 9*c^4 + 142*d^4 - 29*c^2*d^2)*1i)/(24*a^3*d*(3*c*d^4 - c^4*d*3i - c^5 + d^5*1i - c^2*d^3*2i + 2*c^3*d^2)))/(f*(tan(e + f*x)^3*(c/d - 3i) - tan(e + f*x)^2*((c*3i)/d + 3) + (c*1i)/d - tan(e + f*x)*((3*c)/d - 1i) + tan(e + f*x)^4))","B"
1095,1,314,134,5.617284,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c + d*tan(e + f*x))^3,x)","-\frac{\frac{a^3\,\left(c^3\,1{}\mathrm{i}+5\,c^2\,d+c\,d^2\,5{}\mathrm{i}+d^3\right)}{2\,d^4\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,\left(c^2-c\,d\,2{}\mathrm{i}+3\,d^2\right)\,1{}\mathrm{i}}{d^3\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2+\frac{c^2}{d^2}+\frac{2\,c\,\mathrm{tan}\left(e+f\,x\right)}{d}\right)}+\frac{a^3\,\mathrm{atan}\left(\frac{c^3-c^2\,d\,1{}\mathrm{i}+c\,d^2-d^3\,1{}\mathrm{i}}{{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,c^8\,d^2+8\,c^6\,d^4+12\,c^4\,d^6+8\,c^2\,d^8+2\,d^{10}\right)\,1{}\mathrm{i}}{{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)\,\left(-c^6\,d\,1{}\mathrm{i}+2\,c^5\,d^2-c^4\,d^3\,1{}\mathrm{i}+4\,c^3\,d^4+c^2\,d^5\,1{}\mathrm{i}+2\,c\,d^6+d^7\,1{}\mathrm{i}\right)}\right)\,8{}\mathrm{i}}{f\,{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)}","Not used",1,"(a^3*atan((c*d^2 - c^2*d*1i + c^3 - d^3*1i)/((c - d*1i)^2*(c*1i + d)) - (tan(e + f*x)*(2*d^10 + 8*c^2*d^8 + 12*c^4*d^6 + 8*c^6*d^4 + 2*c^8*d^2)*1i)/((c - d*1i)^2*(c*1i + d)*(2*c*d^6 - c^6*d*1i + d^7*1i + c^2*d^5*1i + 4*c^3*d^4 - c^4*d^3*1i + 2*c^5*d^2)))*8i)/(f*(c - d*1i)^2*(c*1i + d)) - ((a^3*(c*d^2*5i + 5*c^2*d + c^3*1i + d^3))/(2*d^4*(c*d*2i - c^2 + d^2)) + (a^3*tan(e + f*x)*(c^2 - c*d*2i + 3*d^2)*1i)/(d^3*(c*d*2i - c^2 + d^2)))/(f*(tan(e + f*x)^2 + c^2/d^2 + (2*c*tan(e + f*x))/d))","B"
1096,1,297,125,5.509123,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c + d*tan(e + f*x))^3,x)","-\frac{\frac{a^2\,c^2+a^2\,c\,d\,4{}\mathrm{i}+a^2\,d^2}{2\,d^3\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}}{d\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2+\frac{c^2}{d^2}+\frac{2\,c\,\mathrm{tan}\left(e+f\,x\right)}{d}\right)}+\frac{a^2\,\mathrm{atan}\left(\frac{c^3-c^2\,d\,1{}\mathrm{i}+c\,d^2-d^3\,1{}\mathrm{i}}{{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,c^8\,d^2+8\,c^6\,d^4+12\,c^4\,d^6+8\,c^2\,d^8+2\,d^{10}\right)\,1{}\mathrm{i}}{{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)\,\left(-c^6\,d\,1{}\mathrm{i}+2\,c^5\,d^2-c^4\,d^3\,1{}\mathrm{i}+4\,c^3\,d^4+c^2\,d^5\,1{}\mathrm{i}+2\,c\,d^6+d^7\,1{}\mathrm{i}\right)}\right)\,4{}\mathrm{i}}{f\,{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)}","Not used",1,"(a^2*atan((c*d^2 - c^2*d*1i + c^3 - d^3*1i)/((c - d*1i)^2*(c*1i + d)) - (tan(e + f*x)*(2*d^10 + 8*c^2*d^8 + 12*c^4*d^6 + 8*c^6*d^4 + 2*c^8*d^2)*1i)/((c - d*1i)^2*(c*1i + d)*(2*c*d^6 - c^6*d*1i + d^7*1i + c^2*d^5*1i + 4*c^3*d^4 - c^4*d^3*1i + 2*c^5*d^2)))*4i)/(f*(c - d*1i)^2*(c*1i + d)) - ((a^2*c^2 + a^2*d^2 + a^2*c*d*4i)/(2*d^3*(c*d*2i - c^2 + d^2)) + (a^2*tan(e + f*x)*2i)/(d*(c*d*2i - c^2 + d^2)))/(f*(tan(e + f*x)^2 + c^2/d^2 + (2*c*tan(e + f*x))/d))","B"
1097,1,281,104,5.371550,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c + d*tan(e + f*x))^3,x)","-\frac{\frac{\left(3\,a\,c-a\,d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d^2\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}+\frac{a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{d\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2+\frac{c^2}{d^2}+\frac{2\,c\,\mathrm{tan}\left(e+f\,x\right)}{d}\right)}+\frac{a\,\mathrm{atan}\left(\frac{c^3-c^2\,d\,1{}\mathrm{i}+c\,d^2-d^3\,1{}\mathrm{i}}{{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,c^8\,d^2+8\,c^6\,d^4+12\,c^4\,d^6+8\,c^2\,d^8+2\,d^{10}\right)\,1{}\mathrm{i}}{{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)\,\left(-c^6\,d\,1{}\mathrm{i}+2\,c^5\,d^2-c^4\,d^3\,1{}\mathrm{i}+4\,c^3\,d^4+c^2\,d^5\,1{}\mathrm{i}+2\,c\,d^6+d^7\,1{}\mathrm{i}\right)}\right)\,2{}\mathrm{i}}{f\,{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(d+c\,1{}\mathrm{i}\right)}","Not used",1,"(a*atan((c*d^2 - c^2*d*1i + c^3 - d^3*1i)/((c - d*1i)^2*(c*1i + d)) - (tan(e + f*x)*(2*d^10 + 8*c^2*d^8 + 12*c^4*d^6 + 8*c^6*d^4 + 2*c^8*d^2)*1i)/((c - d*1i)^2*(c*1i + d)*(2*c*d^6 - c^6*d*1i + d^7*1i + c^2*d^5*1i + 4*c^3*d^4 - c^4*d^3*1i + 2*c^5*d^2)))*2i)/(f*(c - d*1i)^2*(c*1i + d)) - (((3*a*c - a*d*1i)*1i)/(2*d^2*(c*d*2i - c^2 + d^2)) + (a*tan(e + f*x)*1i)/(d*(c*d*2i - c^2 + d^2)))/(f*(tan(e + f*x)^2 + c^2/d^2 + (2*c*tan(e + f*x))/d))","B"
1098,1,1910,273,10.104895,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^3),x)","\frac{\sum _{k=1}^3\ln\left(-\mathrm{root}\left(a^3\,c^7\,d^7\,e^3\,640{}\mathrm{i}+a^3\,c^9\,d^5\,e^3\,480{}\mathrm{i}+a^3\,c^5\,d^9\,e^3\,480{}\mathrm{i}+a^3\,c^{11}\,d^3\,e^3\,192{}\mathrm{i}+a^3\,c^3\,d^{11}\,e^3\,192{}\mathrm{i}+144\,a^3\,c^{10}\,d^4\,e^3-144\,a^3\,c^4\,d^{10}\,e^3+80\,a^3\,c^{12}\,d^2\,e^3+80\,a^3\,c^8\,d^6\,e^3-80\,a^3\,c^6\,d^8\,e^3-80\,a^3\,c^2\,d^{12}\,e^3+a^3\,c^{13}\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^{13}\,e^3\,32{}\mathrm{i}-16\,a^3\,d^{14}\,e^3+16\,a^3\,c^{14}\,e^3-a\,c^3\,d^5\,e\,744{}\mathrm{i}-660\,a\,c^2\,d^6\,e+558\,a\,c^4\,d^4\,e+a\,c^5\,d^3\,e\,24{}\mathrm{i}-4\,a\,c^6\,d^2\,e+a\,c\,d^7\,e\,264{}\mathrm{i}+a\,c^7\,d\,e\,8{}\mathrm{i}+57\,a\,d^8\,e+a\,c^8\,e+38\,c^2\,d^3-c^3\,d^2\,6{}\mathrm{i}-c\,d^4\,26{}\mathrm{i}-14\,d^5,e,k\right)\,\left(\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(2\,a\,c^9+10{}\mathrm{i}\,a\,c^8\,d+4\,a\,c^7\,d^2+36{}\mathrm{i}\,a\,c^6\,d^3+48{}\mathrm{i}\,a\,c^4\,d^5-4\,a\,c^3\,d^6+28{}\mathrm{i}\,a\,c^2\,d^7-2\,a\,c\,d^8+6{}\mathrm{i}\,a\,d^9\right)+\mathrm{root}\left(a^3\,c^7\,d^7\,e^3\,640{}\mathrm{i}+a^3\,c^9\,d^5\,e^3\,480{}\mathrm{i}+a^3\,c^5\,d^9\,e^3\,480{}\mathrm{i}+a^3\,c^{11}\,d^3\,e^3\,192{}\mathrm{i}+a^3\,c^3\,d^{11}\,e^3\,192{}\mathrm{i}+144\,a^3\,c^{10}\,d^4\,e^3-144\,a^3\,c^4\,d^{10}\,e^3+80\,a^3\,c^{12}\,d^2\,e^3+80\,a^3\,c^8\,d^6\,e^3-80\,a^3\,c^6\,d^8\,e^3-80\,a^3\,c^2\,d^{12}\,e^3+a^3\,c^{13}\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^{13}\,e^3\,32{}\mathrm{i}-16\,a^3\,d^{14}\,e^3+16\,a^3\,c^{14}\,e^3-a\,c^3\,d^5\,e\,744{}\mathrm{i}-660\,a\,c^2\,d^6\,e+558\,a\,c^4\,d^4\,e+a\,c^5\,d^3\,e\,24{}\mathrm{i}-4\,a\,c^6\,d^2\,e+a\,c\,d^7\,e\,264{}\mathrm{i}+a\,c^7\,d\,e\,8{}\mathrm{i}+57\,a\,d^8\,e+a\,c^8\,e+38\,c^2\,d^3-c^3\,d^2\,6{}\mathrm{i}-c\,d^4\,26{}\mathrm{i}-14\,d^5,e,k\right)\,\left(\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(32\,a^2\,c^{11}\,d+a^2\,c^{10}\,d^2\,64{}\mathrm{i}+96\,a^2\,c^9\,d^3+a^2\,c^8\,d^4\,256{}\mathrm{i}+64\,a^2\,c^7\,d^5+a^2\,c^6\,d^6\,384{}\mathrm{i}-64\,a^2\,c^5\,d^7+a^2\,c^4\,d^8\,256{}\mathrm{i}-96\,a^2\,c^3\,d^9+a^2\,c^2\,d^{10}\,64{}\mathrm{i}-32\,a^2\,c\,d^{11}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(8\,a^2\,c^{12}+a^2\,c^{11}\,d\,16{}\mathrm{i}+a^2\,c^9\,d^3\,16{}\mathrm{i}-56\,a^2\,c^8\,d^4-a^2\,c^7\,d^5\,96{}\mathrm{i}-64\,a^2\,c^6\,d^6-a^2\,c^5\,d^7\,224{}\mathrm{i}+24\,a^2\,c^4\,d^8-a^2\,c^3\,d^9\,176{}\mathrm{i}+64\,a^2\,c^2\,d^{10}-a^2\,c\,d^{11}\,48{}\mathrm{i}+24\,a^2\,d^{12}\right)\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(4\,a\,c^8\,d+44{}\mathrm{i}\,a\,c^7\,d^2+4\,a\,c^6\,d^3+100{}\mathrm{i}\,a\,c^5\,d^4+20\,a\,c^4\,d^5+68{}\mathrm{i}\,a\,c^3\,d^6+44\,a\,c^2\,d^7+12{}\mathrm{i}\,a\,c\,d^8+24\,a\,d^9\right)\right)+\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(-c^5\,d+c^4\,d^2\,4{}\mathrm{i}-34\,c^3\,d^3+c^2\,d^4\,56{}\mathrm{i}+47\,c\,d^5-d^6\,12{}\mathrm{i}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(-a\,c^2\,d^2+2{}\mathrm{i}\,a\,c\,d^3+a\,d^4\right)\,\left(c^4\,d^2-c^3\,d^3\,16{}\mathrm{i}-70\,c^2\,d^4+c\,d^5\,48{}\mathrm{i}+9\,d^6\right)\right)\,\mathrm{root}\left(a^3\,c^7\,d^7\,e^3\,640{}\mathrm{i}+a^3\,c^9\,d^5\,e^3\,480{}\mathrm{i}+a^3\,c^5\,d^9\,e^3\,480{}\mathrm{i}+a^3\,c^{11}\,d^3\,e^3\,192{}\mathrm{i}+a^3\,c^3\,d^{11}\,e^3\,192{}\mathrm{i}+144\,a^3\,c^{10}\,d^4\,e^3-144\,a^3\,c^4\,d^{10}\,e^3+80\,a^3\,c^{12}\,d^2\,e^3+80\,a^3\,c^8\,d^6\,e^3-80\,a^3\,c^6\,d^8\,e^3-80\,a^3\,c^2\,d^{12}\,e^3+a^3\,c^{13}\,d\,e^3\,32{}\mathrm{i}+a^3\,c\,d^{13}\,e^3\,32{}\mathrm{i}-16\,a^3\,d^{14}\,e^3+16\,a^3\,c^{14}\,e^3-a\,c^3\,d^5\,e\,744{}\mathrm{i}-660\,a\,c^2\,d^6\,e+558\,a\,c^4\,d^4\,e+a\,c^5\,d^3\,e\,24{}\mathrm{i}-4\,a\,c^6\,d^2\,e+a\,c\,d^7\,e\,264{}\mathrm{i}+a\,c^7\,d\,e\,8{}\mathrm{i}+57\,a\,d^8\,e+a\,c^8\,e+38\,c^2\,d^3-c^3\,d^2\,6{}\mathrm{i}-c\,d^4\,26{}\mathrm{i}-14\,d^5,e,k\right)}{f}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-c^2+c\,d\,8{}\mathrm{i}+3\,d^2\right)}{2\,a\,\left(c^5+c^4\,d\,1{}\mathrm{i}+2\,c^3\,d^2+c^2\,d^3\,2{}\mathrm{i}+c\,d^4+d^5\,1{}\mathrm{i}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(c^2\,2{}\mathrm{i}+9\,c\,d-d^2\,1{}\mathrm{i}\right)}{2\,a\,d\,\left(-c^4\,1{}\mathrm{i}+2\,c^3\,d+2\,c\,d^3+d^4\,1{}\mathrm{i}\right)}+\frac{-3\,c^4+c^3\,d\,6{}\mathrm{i}+24\,c^2\,d^2-c\,d^3\,6{}\mathrm{i}+3\,d^4}{6\,a\,d^2\,\left(c^2+d^2\right)\,\left(c^3+c^2\,d\,1{}\mathrm{i}+c\,d^2+d^3\,1{}\mathrm{i}\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{2\,c}{d}-\mathrm{i}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{c^2}{d^2}+\frac{c\,2{}\mathrm{i}}{d}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3-\frac{c^2\,1{}\mathrm{i}}{d^2}\right)}","Not used",1,"symsum(log((a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(47*c*d^5 - c^5*d - d^6*12i + c^2*d^4*56i - 34*c^3*d^3 + c^4*d^2*4i) - root(a^3*c^7*d^7*e^3*640i + a^3*c^9*d^5*e^3*480i + a^3*c^5*d^9*e^3*480i + a^3*c^11*d^3*e^3*192i + a^3*c^3*d^11*e^3*192i + 144*a^3*c^10*d^4*e^3 - 144*a^3*c^4*d^10*e^3 + 80*a^3*c^12*d^2*e^3 + 80*a^3*c^8*d^6*e^3 - 80*a^3*c^6*d^8*e^3 - 80*a^3*c^2*d^12*e^3 + a^3*c^13*d*e^3*32i + a^3*c*d^13*e^3*32i - 16*a^3*d^14*e^3 + 16*a^3*c^14*e^3 - a*c^3*d^5*e*744i - 660*a*c^2*d^6*e + 558*a*c^4*d^4*e + a*c^5*d^3*e*24i - 4*a*c^6*d^2*e + a*c*d^7*e*264i + a*c^7*d*e*8i + 57*a*d^8*e + a*c^8*e + 38*c^2*d^3 - c^3*d^2*6i - c*d^4*26i - 14*d^5, e, k)*((a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(2*a*c^9 + a*d^9*6i + a*c^2*d^7*28i - 4*a*c^3*d^6 + a*c^4*d^5*48i + a*c^6*d^3*36i + 4*a*c^7*d^2 - 2*a*c*d^8 + a*c^8*d*10i) + root(a^3*c^7*d^7*e^3*640i + a^3*c^9*d^5*e^3*480i + a^3*c^5*d^9*e^3*480i + a^3*c^11*d^3*e^3*192i + a^3*c^3*d^11*e^3*192i + 144*a^3*c^10*d^4*e^3 - 144*a^3*c^4*d^10*e^3 + 80*a^3*c^12*d^2*e^3 + 80*a^3*c^8*d^6*e^3 - 80*a^3*c^6*d^8*e^3 - 80*a^3*c^2*d^12*e^3 + a^3*c^13*d*e^3*32i + a^3*c*d^13*e^3*32i - 16*a^3*d^14*e^3 + 16*a^3*c^14*e^3 - a*c^3*d^5*e*744i - 660*a*c^2*d^6*e + 558*a*c^4*d^4*e + a*c^5*d^3*e*24i - 4*a*c^6*d^2*e + a*c*d^7*e*264i + a*c^7*d*e*8i + 57*a*d^8*e + a*c^8*e + 38*c^2*d^3 - c^3*d^2*6i - c*d^4*26i - 14*d^5, e, k)*((a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(32*a^2*c^11*d - 32*a^2*c*d^11 + a^2*c^2*d^10*64i - 96*a^2*c^3*d^9 + a^2*c^4*d^8*256i - 64*a^2*c^5*d^7 + a^2*c^6*d^6*384i + 64*a^2*c^7*d^5 + a^2*c^8*d^4*256i + 96*a^2*c^9*d^3 + a^2*c^10*d^2*64i) - tan(e + f*x)*(a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(8*a^2*c^12 + 24*a^2*d^12 - a^2*c*d^11*48i + a^2*c^11*d*16i + 64*a^2*c^2*d^10 - a^2*c^3*d^9*176i + 24*a^2*c^4*d^8 - a^2*c^5*d^7*224i - 64*a^2*c^6*d^6 - a^2*c^7*d^5*96i - 56*a^2*c^8*d^4 + a^2*c^9*d^3*16i)) + tan(e + f*x)*(a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(24*a*d^9 + 44*a*c^2*d^7 + a*c^3*d^6*68i + 20*a*c^4*d^5 + a*c^5*d^4*100i + 4*a*c^6*d^3 + a*c^7*d^2*44i + a*c*d^8*12i + 4*a*c^8*d)) - tan(e + f*x)*(a*d^4 - a*c^2*d^2 + a*c*d^3*2i)*(c*d^5*48i + 9*d^6 - 70*c^2*d^4 - c^3*d^3*16i + c^4*d^2))*root(a^3*c^7*d^7*e^3*640i + a^3*c^9*d^5*e^3*480i + a^3*c^5*d^9*e^3*480i + a^3*c^11*d^3*e^3*192i + a^3*c^3*d^11*e^3*192i + 144*a^3*c^10*d^4*e^3 - 144*a^3*c^4*d^10*e^3 + 80*a^3*c^12*d^2*e^3 + 80*a^3*c^8*d^6*e^3 - 80*a^3*c^6*d^8*e^3 - 80*a^3*c^2*d^12*e^3 + a^3*c^13*d*e^3*32i + a^3*c*d^13*e^3*32i - 16*a^3*d^14*e^3 + 16*a^3*c^14*e^3 - a*c^3*d^5*e*744i - 660*a*c^2*d^6*e + 558*a*c^4*d^4*e + a*c^5*d^3*e*24i - 4*a*c^6*d^2*e + a*c*d^7*e*264i + a*c^7*d*e*8i + 57*a*d^8*e + a*c^8*e + 38*c^2*d^3 - c^3*d^2*6i - c*d^4*26i - 14*d^5, e, k), k, 1, 3)/f - ((tan(e + f*x)^2*(c*d*8i - c^2 + 3*d^2))/(2*a*(c*d^4 + c^4*d*1i + c^5 + d^5*1i + c^2*d^3*2i + 2*c^3*d^2)) + (tan(e + f*x)*(9*c*d + c^2*2i - d^2*1i))/(2*a*d*(2*c*d^3 + 2*c^3*d - c^4*1i + d^4*1i)) + (c^3*d*6i - c*d^3*6i - 3*c^4 + 3*d^4 + 24*c^2*d^2)/(6*a*d^2*(c^2 + d^2)*(c*d^2 + c^2*d*1i + c^3 + d^3*1i)))/(f*(tan(e + f*x)^2*((2*c)/d - 1i) - tan(e + f*x)*((c*2i)/d - c^2/d^2) + tan(e + f*x)^3 - (c^2*1i)/d^2))","B"
1099,1,2640,354,12.084931,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^3),x)","\frac{\sum _{k=1}^3\ln\left(-\mathrm{root}\left(5760\,a^6\,c^8\,d^8\,e^3+4096\,a^6\,c^{10}\,d^6\,e^3+4096\,a^6\,c^6\,d^{10}\,e^3-a^6\,c^{11}\,d^5\,e^3\,2304{}\mathrm{i}+a^6\,c^5\,d^{11}\,e^3\,2304{}\mathrm{i}-a^6\,c^{13}\,d^3\,e^3\,1280{}\mathrm{i}-a^6\,c^9\,d^7\,e^3\,1280{}\mathrm{i}+a^6\,c^7\,d^9\,e^3\,1280{}\mathrm{i}+a^6\,c^3\,d^{13}\,e^3\,1280{}\mathrm{i}+1280\,a^6\,c^{12}\,d^4\,e^3+1280\,a^6\,c^4\,d^{12}\,e^3-a^6\,c^{15}\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^{15}\,e^3\,256{}\mathrm{i}-64\,a^6\,d^{16}\,e^3-64\,a^6\,c^{16}\,e^3+a^2\,c\,d^9\,e\,5190{}\mathrm{i}-a^2\,c^9\,d\,e\,10{}\mathrm{i}-a^2\,c^3\,d^7\,e\,12600{}\mathrm{i}-11565\,a^2\,c^2\,d^8\,e+6450\,a^2\,c^4\,d^6\,e+a^2\,c^5\,d^5\,e\,180{}\mathrm{i}+110\,a^2\,c^6\,d^4\,e+a^2\,c^7\,d^3\,e\,40{}\mathrm{i}+45\,a^2\,c^8\,d^2\,e+993\,a^2\,d^{10}\,e-a^2\,c^{10}\,e+234\,c^2\,d^5-c^3\,d^4\,70{}\mathrm{i}-10\,c^4\,d^3-c\,d^6\,278{}\mathrm{i}-124\,d^7,e,k\right)\,\left(\mathrm{root}\left(5760\,a^6\,c^8\,d^8\,e^3+4096\,a^6\,c^{10}\,d^6\,e^3+4096\,a^6\,c^6\,d^{10}\,e^3-a^6\,c^{11}\,d^5\,e^3\,2304{}\mathrm{i}+a^6\,c^5\,d^{11}\,e^3\,2304{}\mathrm{i}-a^6\,c^{13}\,d^3\,e^3\,1280{}\mathrm{i}-a^6\,c^9\,d^7\,e^3\,1280{}\mathrm{i}+a^6\,c^7\,d^9\,e^3\,1280{}\mathrm{i}+a^6\,c^3\,d^{13}\,e^3\,1280{}\mathrm{i}+1280\,a^6\,c^{12}\,d^4\,e^3+1280\,a^6\,c^4\,d^{12}\,e^3-a^6\,c^{15}\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^{15}\,e^3\,256{}\mathrm{i}-64\,a^6\,d^{16}\,e^3-64\,a^6\,c^{16}\,e^3+a^2\,c\,d^9\,e\,5190{}\mathrm{i}-a^2\,c^9\,d\,e\,10{}\mathrm{i}-a^2\,c^3\,d^7\,e\,12600{}\mathrm{i}-11565\,a^2\,c^2\,d^8\,e+6450\,a^2\,c^4\,d^6\,e+a^2\,c^5\,d^5\,e\,180{}\mathrm{i}+110\,a^2\,c^6\,d^4\,e+a^2\,c^7\,d^3\,e\,40{}\mathrm{i}+45\,a^2\,c^8\,d^2\,e+993\,a^2\,d^{10}\,e-a^2\,c^{10}\,e+234\,c^2\,d^5-c^3\,d^4\,70{}\mathrm{i}-10\,c^4\,d^3-c\,d^6\,278{}\mathrm{i}-124\,d^7,e,k\right)\,\left(\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(-128\,a^4\,c^{13}\,d-a^4\,c^{12}\,d^2\,512{}\mathrm{i}+256\,a^4\,c^{11}\,d^3-a^4\,c^{10}\,d^4\,1536{}\mathrm{i}+2176\,a^4\,c^9\,d^5-a^4\,c^8\,d^6\,1024{}\mathrm{i}+3584\,a^4\,c^7\,d^7+a^4\,c^6\,d^8\,1024{}\mathrm{i}+2176\,a^4\,c^5\,d^9+a^4\,c^4\,d^{10}\,1536{}\mathrm{i}+256\,a^4\,c^3\,d^{11}+a^4\,c^2\,d^{12}\,512{}\mathrm{i}-128\,a^4\,c\,d^{13}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(32\,a^4\,c^{14}+a^4\,c^{13}\,d\,128{}\mathrm{i}-160\,a^4\,c^{12}\,d^2-352\,a^4\,c^{10}\,d^4-a^4\,c^9\,d^5\,896{}\mathrm{i}+736\,a^4\,c^8\,d^6-a^4\,c^7\,d^7\,1024{}\mathrm{i}+2144\,a^4\,c^6\,d^8+a^4\,c^5\,d^9\,384{}\mathrm{i}+1568\,a^4\,c^4\,d^{10}+a^4\,c^3\,d^{11}\,1024{}\mathrm{i}+224\,a^4\,c^2\,d^{12}+a^4\,c\,d^{13}\,384{}\mathrm{i}-96\,a^4\,d^{14}\right)\right)+\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(-4\,a^2\,c^{11}-a^2\,c^{10}\,d\,28{}\mathrm{i}+84\,a^2\,c^9\,d^2-a^2\,c^8\,d^3\,20{}\mathrm{i}+344\,a^2\,c^7\,d^4+a^2\,c^6\,d^5\,168{}\mathrm{i}+488\,a^2\,c^5\,d^6+a^2\,c^4\,d^7\,344{}\mathrm{i}+300\,a^2\,c^3\,d^8+a^2\,c^2\,d^9\,244{}\mathrm{i}+68\,a^2\,c\,d^{10}+a^2\,d^{11}\,60{}\mathrm{i}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(-8\,a^2\,c^{10}\,d-a^2\,c^9\,d^2\,56{}\mathrm{i}+320\,a^2\,c^8\,d^3+a^2\,c^7\,d^4\,64{}\mathrm{i}+944\,a^2\,c^6\,d^5+a^2\,c^5\,d^6\,272{}\mathrm{i}+1088\,a^2\,c^4\,d^7+a^2\,c^3\,d^8\,128{}\mathrm{i}+664\,a^2\,c^2\,d^9-a^2\,c\,d^{10}\,24{}\mathrm{i}+192\,a^2\,d^{11}\right)\right)+\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(c^7\,d+c^6\,d^2\,10{}\mathrm{i}-7\,c^5\,d^3+c^4\,d^4\,100{}\mathrm{i}-353\,c^3\,d^5+c^2\,d^6\,970{}\mathrm{i}+839\,c\,d^7-d^8\,240{}\mathrm{i}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c^4\,d^2-a^2\,c^3\,d^3\,4{}\mathrm{i}-6\,a^2\,c^2\,d^4+a^2\,c\,d^5\,4{}\mathrm{i}+a^2\,d^6\right)\,\left(c^6\,d^2+c^5\,d^3\,10{}\mathrm{i}+33\,c^4\,d^4+c^3\,d^5\,260{}\mathrm{i}+991\,c^2\,d^6-c\,d^7\,870{}\mathrm{i}-225\,d^8\right)\right)\,\mathrm{root}\left(5760\,a^6\,c^8\,d^8\,e^3+4096\,a^6\,c^{10}\,d^6\,e^3+4096\,a^6\,c^6\,d^{10}\,e^3-a^6\,c^{11}\,d^5\,e^3\,2304{}\mathrm{i}+a^6\,c^5\,d^{11}\,e^3\,2304{}\mathrm{i}-a^6\,c^{13}\,d^3\,e^3\,1280{}\mathrm{i}-a^6\,c^9\,d^7\,e^3\,1280{}\mathrm{i}+a^6\,c^7\,d^9\,e^3\,1280{}\mathrm{i}+a^6\,c^3\,d^{13}\,e^3\,1280{}\mathrm{i}+1280\,a^6\,c^{12}\,d^4\,e^3+1280\,a^6\,c^4\,d^{12}\,e^3-a^6\,c^{15}\,d\,e^3\,256{}\mathrm{i}+a^6\,c\,d^{15}\,e^3\,256{}\mathrm{i}-64\,a^6\,d^{16}\,e^3-64\,a^6\,c^{16}\,e^3+a^2\,c\,d^9\,e\,5190{}\mathrm{i}-a^2\,c^9\,d\,e\,10{}\mathrm{i}-a^2\,c^3\,d^7\,e\,12600{}\mathrm{i}-11565\,a^2\,c^2\,d^8\,e+6450\,a^2\,c^4\,d^6\,e+a^2\,c^5\,d^5\,e\,180{}\mathrm{i}+110\,a^2\,c^6\,d^4\,e+a^2\,c^7\,d^3\,e\,40{}\mathrm{i}+45\,a^2\,c^8\,d^2\,e+993\,a^2\,d^{10}\,e-a^2\,c^{10}\,e+234\,c^2\,d^5-c^3\,d^4\,70{}\mathrm{i}-10\,c^4\,d^3-c\,d^6\,278{}\mathrm{i}-124\,d^7,e,k\right)}{f}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(c^3+c^2\,d\,5{}\mathrm{i}+29\,c\,d^2-d^3\,15{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^2\,\left(-c^6\,1{}\mathrm{i}+2\,c^5\,d-c^4\,d^2\,1{}\mathrm{i}+4\,c^3\,d^3+c^2\,d^4\,1{}\mathrm{i}+2\,c\,d^5+d^6\,1{}\mathrm{i}\right)}-\frac{\left(c^5\,8{}\mathrm{i}-16\,c^4\,d+c^3\,d^2\,56{}\mathrm{i}+104\,c^2\,d^3-c\,d^4\,32{}\mathrm{i}+8\,d^5\right)\,1{}\mathrm{i}}{16\,a^2\,d^2\,\left(-c^6\,1{}\mathrm{i}+2\,c^5\,d-c^4\,d^2\,1{}\mathrm{i}+4\,c^3\,d^3+c^2\,d^4\,1{}\mathrm{i}+2\,c\,d^5+d^6\,1{}\mathrm{i}\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(4\,c^4+c^3\,d\,16{}\mathrm{i}+96\,c^2\,d^2-c\,d^3\,136{}\mathrm{i}-44\,d^4\right)\,1{}\mathrm{i}}{8\,a^2\,d\,\left(-c^6\,1{}\mathrm{i}+2\,c^5\,d-c^4\,d^2\,1{}\mathrm{i}+4\,c^3\,d^3+c^2\,d^4\,1{}\mathrm{i}+2\,c\,d^5+d^6\,1{}\mathrm{i}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3\,c^5+c^4\,d\,3{}\mathrm{i}+63\,c^3\,d^2-c^2\,d^3\,213{}\mathrm{i}-144\,c\,d^4+d^5\,12{}\mathrm{i}\right)\,1{}\mathrm{i}}{12\,a^2\,d^2\,\left(-c^6\,1{}\mathrm{i}+2\,c^5\,d-c^4\,d^2\,1{}\mathrm{i}+4\,c^3\,d^3+c^2\,d^4\,1{}\mathrm{i}+2\,c\,d^5+d^6\,1{}\mathrm{i}\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{2\,c}{d}-2{}\mathrm{i}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{c^2-d^2}{d^2}-\frac{c\,4{}\mathrm{i}}{d}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{2\,c}{d}+\frac{c^2\,2{}\mathrm{i}}{d^2}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4-\frac{c^2}{d^2}\right)}","Not used",1,"symsum(log((a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(839*c*d^7 + c^7*d - d^8*240i + c^2*d^6*970i - 353*c^3*d^5 + c^4*d^4*100i - 7*c^5*d^3 + c^6*d^2*10i) - root(5760*a^6*c^8*d^8*e^3 + 4096*a^6*c^10*d^6*e^3 + 4096*a^6*c^6*d^10*e^3 - a^6*c^11*d^5*e^3*2304i + a^6*c^5*d^11*e^3*2304i - a^6*c^13*d^3*e^3*1280i - a^6*c^9*d^7*e^3*1280i + a^6*c^7*d^9*e^3*1280i + a^6*c^3*d^13*e^3*1280i + 1280*a^6*c^12*d^4*e^3 + 1280*a^6*c^4*d^12*e^3 - a^6*c^15*d*e^3*256i + a^6*c*d^15*e^3*256i - 64*a^6*d^16*e^3 - 64*a^6*c^16*e^3 + a^2*c*d^9*e*5190i - a^2*c^9*d*e*10i - a^2*c^3*d^7*e*12600i - 11565*a^2*c^2*d^8*e + 6450*a^2*c^4*d^6*e + a^2*c^5*d^5*e*180i + 110*a^2*c^6*d^4*e + a^2*c^7*d^3*e*40i + 45*a^2*c^8*d^2*e + 993*a^2*d^10*e - a^2*c^10*e + 234*c^2*d^5 - c^3*d^4*70i - 10*c^4*d^3 - c*d^6*278i - 124*d^7, e, k)*(root(5760*a^6*c^8*d^8*e^3 + 4096*a^6*c^10*d^6*e^3 + 4096*a^6*c^6*d^10*e^3 - a^6*c^11*d^5*e^3*2304i + a^6*c^5*d^11*e^3*2304i - a^6*c^13*d^3*e^3*1280i - a^6*c^9*d^7*e^3*1280i + a^6*c^7*d^9*e^3*1280i + a^6*c^3*d^13*e^3*1280i + 1280*a^6*c^12*d^4*e^3 + 1280*a^6*c^4*d^12*e^3 - a^6*c^15*d*e^3*256i + a^6*c*d^15*e^3*256i - 64*a^6*d^16*e^3 - 64*a^6*c^16*e^3 + a^2*c*d^9*e*5190i - a^2*c^9*d*e*10i - a^2*c^3*d^7*e*12600i - 11565*a^2*c^2*d^8*e + 6450*a^2*c^4*d^6*e + a^2*c^5*d^5*e*180i + 110*a^2*c^6*d^4*e + a^2*c^7*d^3*e*40i + 45*a^2*c^8*d^2*e + 993*a^2*d^10*e - a^2*c^10*e + 234*c^2*d^5 - c^3*d^4*70i - 10*c^4*d^3 - c*d^6*278i - 124*d^7, e, k)*((a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(a^4*c^2*d^12*512i - 128*a^4*c^13*d - 128*a^4*c*d^13 + 256*a^4*c^3*d^11 + a^4*c^4*d^10*1536i + 2176*a^4*c^5*d^9 + a^4*c^6*d^8*1024i + 3584*a^4*c^7*d^7 - a^4*c^8*d^6*1024i + 2176*a^4*c^9*d^5 - a^4*c^10*d^4*1536i + 256*a^4*c^11*d^3 - a^4*c^12*d^2*512i) + tan(e + f*x)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(32*a^4*c^14 - 96*a^4*d^14 + a^4*c*d^13*384i + a^4*c^13*d*128i + 224*a^4*c^2*d^12 + a^4*c^3*d^11*1024i + 1568*a^4*c^4*d^10 + a^4*c^5*d^9*384i + 2144*a^4*c^6*d^8 - a^4*c^7*d^7*1024i + 736*a^4*c^8*d^6 - a^4*c^9*d^5*896i - 352*a^4*c^10*d^4 - 160*a^4*c^12*d^2)) + (a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(a^2*d^11*60i - 4*a^2*c^11 + 68*a^2*c*d^10 - a^2*c^10*d*28i + a^2*c^2*d^9*244i + 300*a^2*c^3*d^8 + a^2*c^4*d^7*344i + 488*a^2*c^5*d^6 + a^2*c^6*d^5*168i + 344*a^2*c^7*d^4 - a^2*c^8*d^3*20i + 84*a^2*c^9*d^2) + tan(e + f*x)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(192*a^2*d^11 - a^2*c*d^10*24i - 8*a^2*c^10*d + 664*a^2*c^2*d^9 + a^2*c^3*d^8*128i + 1088*a^2*c^4*d^7 + a^2*c^5*d^6*272i + 944*a^2*c^6*d^5 + a^2*c^7*d^4*64i + 320*a^2*c^8*d^3 - a^2*c^9*d^2*56i)) + tan(e + f*x)*(a^2*d^6 + a^2*c*d^5*4i - 6*a^2*c^2*d^4 - a^2*c^3*d^3*4i + a^2*c^4*d^2)*(991*c^2*d^6 - 225*d^8 - c*d^7*870i + c^3*d^5*260i + 33*c^4*d^4 + c^5*d^3*10i + c^6*d^2))*root(5760*a^6*c^8*d^8*e^3 + 4096*a^6*c^10*d^6*e^3 + 4096*a^6*c^6*d^10*e^3 - a^6*c^11*d^5*e^3*2304i + a^6*c^5*d^11*e^3*2304i - a^6*c^13*d^3*e^3*1280i - a^6*c^9*d^7*e^3*1280i + a^6*c^7*d^9*e^3*1280i + a^6*c^3*d^13*e^3*1280i + 1280*a^6*c^12*d^4*e^3 + 1280*a^6*c^4*d^12*e^3 - a^6*c^15*d*e^3*256i + a^6*c*d^15*e^3*256i - 64*a^6*d^16*e^3 - 64*a^6*c^16*e^3 + a^2*c*d^9*e*5190i - a^2*c^9*d*e*10i - a^2*c^3*d^7*e*12600i - 11565*a^2*c^2*d^8*e + 6450*a^2*c^4*d^6*e + a^2*c^5*d^5*e*180i + 110*a^2*c^6*d^4*e + a^2*c^7*d^3*e*40i + 45*a^2*c^8*d^2*e + 993*a^2*d^10*e - a^2*c^10*e + 234*c^2*d^5 - c^3*d^4*70i - 10*c^4*d^3 - c*d^6*278i - 124*d^7, e, k), k, 1, 3)/f - ((tan(e + f*x)^3*(29*c*d^2 + c^2*d*5i + c^3 - d^3*15i)*1i)/(4*a^2*(2*c*d^5 + 2*c^5*d - c^6*1i + d^6*1i + c^2*d^4*1i + 4*c^3*d^3 - c^4*d^2*1i)) - ((c^5*8i - 16*c^4*d - c*d^4*32i + 8*d^5 + 104*c^2*d^3 + c^3*d^2*56i)*1i)/(16*a^2*d^2*(2*c*d^5 + 2*c^5*d - c^6*1i + d^6*1i + c^2*d^4*1i + 4*c^3*d^3 - c^4*d^2*1i)) + (tan(e + f*x)^2*(c^3*d*16i - c*d^3*136i + 4*c^4 - 44*d^4 + 96*c^2*d^2)*1i)/(8*a^2*d*(2*c*d^5 + 2*c^5*d - c^6*1i + d^6*1i + c^2*d^4*1i + 4*c^3*d^3 - c^4*d^2*1i)) + (tan(e + f*x)*(c^4*d*3i - 144*c*d^4 + 3*c^5 + d^5*12i - c^2*d^3*213i + 63*c^3*d^2)*1i)/(12*a^2*d^2*(2*c*d^5 + 2*c^5*d - c^6*1i + d^6*1i + c^2*d^4*1i + 4*c^3*d^3 - c^4*d^2*1i)))/(f*(tan(e + f*x)^3*((2*c)/d - 2i) + tan(e + f*x)^2*((c^2 - d^2)/d^2 - (c*4i)/d) - tan(e + f*x)*((2*c)/d + (c^2*2i)/d^2) + tan(e + f*x)^4 - c^2/d^2))","B"
1100,1,3368,448,13.520686,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^3),x)","\frac{\sum _{k=1}^3\ln\left(-\mathrm{root}\left(a^9\,c^9\,d^9\,e^3\,56320{}\mathrm{i}+a^9\,c^{11}\,d^7\,e^3\,36864{}\mathrm{i}+a^9\,c^7\,d^{11}\,e^3\,36864{}\mathrm{i}+29696\,a^9\,c^{12}\,d^6\,e^3-29696\,a^9\,c^6\,d^{12}\,e^3+16896\,a^9\,c^{10}\,d^8\,e^3-16896\,a^9\,c^8\,d^{10}\,e^3+15360\,a^9\,c^{14}\,d^4\,e^3-15360\,a^9\,c^4\,d^{14}\,e^3+a^9\,c^{13}\,d^5\,e^3\,6144{}\mathrm{i}+a^9\,c^5\,d^{13}\,e^3\,6144{}\mathrm{i}-a^9\,c^{15}\,d^3\,e^3\,4096{}\mathrm{i}-a^9\,c^3\,d^{15}\,e^3\,4096{}\mathrm{i}+2304\,a^9\,c^{16}\,d^2\,e^3-2304\,a^9\,c^2\,d^{16}\,e^3-a^9\,c^{17}\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^{17}\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{18}\,e^3-256\,a^9\,c^{18}\,e^3-a^3\,c\,d^{11}\,e\,64884{}\mathrm{i}-a^3\,c^{11}\,d\,e\,12{}\mathrm{i}+a^3\,c^3\,d^9\,e\,137380{}\mathrm{i}+136578\,a^3\,c^2\,d^{10}\,e-58575\,a^3\,c^4\,d^8\,e-1060\,a^3\,c^6\,d^6\,e+a^3\,c^7\,d^5\,e\,360{}\mathrm{i}-a^3\,c^5\,d^7\,e\,360{}\mathrm{i}-255\,a^3\,c^8\,d^4\,e+a^3\,c^9\,d^3\,e\,220{}\mathrm{i}+66\,a^3\,c^{10}\,d^2\,e-12433\,a^3\,d^{12}\,e-a^3\,c^{12}\,e-1026\,c^2\,d^7+c^3\,d^6\,430{}\mathrm{i}+117\,c^4\,d^5-c^5\,d^4\,15{}\mathrm{i}+c\,d^8\,1725{}\mathrm{i}+777\,d^9,e,k\right)\,\left(\mathrm{root}\left(a^9\,c^9\,d^9\,e^3\,56320{}\mathrm{i}+a^9\,c^{11}\,d^7\,e^3\,36864{}\mathrm{i}+a^9\,c^7\,d^{11}\,e^3\,36864{}\mathrm{i}+29696\,a^9\,c^{12}\,d^6\,e^3-29696\,a^9\,c^6\,d^{12}\,e^3+16896\,a^9\,c^{10}\,d^8\,e^3-16896\,a^9\,c^8\,d^{10}\,e^3+15360\,a^9\,c^{14}\,d^4\,e^3-15360\,a^9\,c^4\,d^{14}\,e^3+a^9\,c^{13}\,d^5\,e^3\,6144{}\mathrm{i}+a^9\,c^5\,d^{13}\,e^3\,6144{}\mathrm{i}-a^9\,c^{15}\,d^3\,e^3\,4096{}\mathrm{i}-a^9\,c^3\,d^{15}\,e^3\,4096{}\mathrm{i}+2304\,a^9\,c^{16}\,d^2\,e^3-2304\,a^9\,c^2\,d^{16}\,e^3-a^9\,c^{17}\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^{17}\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{18}\,e^3-256\,a^9\,c^{18}\,e^3-a^3\,c\,d^{11}\,e\,64884{}\mathrm{i}-a^3\,c^{11}\,d\,e\,12{}\mathrm{i}+a^3\,c^3\,d^9\,e\,137380{}\mathrm{i}+136578\,a^3\,c^2\,d^{10}\,e-58575\,a^3\,c^4\,d^8\,e-1060\,a^3\,c^6\,d^6\,e+a^3\,c^7\,d^5\,e\,360{}\mathrm{i}-a^3\,c^5\,d^7\,e\,360{}\mathrm{i}-255\,a^3\,c^8\,d^4\,e+a^3\,c^9\,d^3\,e\,220{}\mathrm{i}+66\,a^3\,c^{10}\,d^2\,e-12433\,a^3\,d^{12}\,e-a^3\,c^{12}\,e-1026\,c^2\,d^7+c^3\,d^6\,430{}\mathrm{i}+117\,c^4\,d^5-c^5\,d^4\,15{}\mathrm{i}+c\,d^8\,1725{}\mathrm{i}+777\,d^9,e,k\right)\,\left(\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(512\,a^6\,c^{15}\,d+a^6\,c^{14}\,d^2\,3072{}\mathrm{i}-5632\,a^6\,c^{13}\,d^3+a^6\,c^{12}\,d^4\,2048{}\mathrm{i}-19968\,a^6\,c^{11}\,d^5-a^6\,c^{10}\,d^6\,19456{}\mathrm{i}-13824\,a^6\,c^9\,d^7-a^6\,c^8\,d^8\,36864{}\mathrm{i}+13824\,a^6\,c^7\,d^9-a^6\,c^6\,d^{10}\,19456{}\mathrm{i}+19968\,a^6\,c^5\,d^{11}+a^6\,c^4\,d^{12}\,2048{}\mathrm{i}+5632\,a^6\,c^3\,d^{13}+a^6\,c^2\,d^{14}\,3072{}\mathrm{i}-512\,a^6\,c\,d^{15}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(-128\,a^6\,c^{16}-a^6\,c^{15}\,d\,768{}\mathrm{i}+1792\,a^6\,c^{14}\,d^2+a^6\,c^{13}\,d^3\,1792{}\mathrm{i}+768\,a^6\,c^{12}\,d^4+a^6\,c^{11}\,d^5\,6400{}\mathrm{i}-11520\,a^6\,c^{10}\,d^6-a^6\,c^9\,d^7\,5376{}\mathrm{i}-13824\,a^6\,c^8\,d^8-a^6\,c^7\,d^9\,22784{}\mathrm{i}+5376\,a^6\,c^6\,d^{10}-a^6\,c^5\,d^{11}\,15104{}\mathrm{i}+13568\,a^6\,c^4\,d^{12}+a^6\,c^3\,d^{13}\,768{}\mathrm{i}+4352\,a^6\,c^2\,d^{14}+a^6\,c\,d^{15}\,2304{}\mathrm{i}-384\,a^6\,d^{16}\right)\right)+\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(8\,a^3\,c^{13}+a^3\,c^{12}\,d\,72{}\mathrm{i}-288\,a^3\,c^{11}\,d^2-a^3\,c^{10}\,d^3\,672{}\mathrm{i}+40\,a^3\,c^9\,d^4-a^3\,c^8\,d^5\,2712{}\mathrm{i}+2944\,a^3\,c^7\,d^6-a^3\,c^6\,d^7\,2944{}\mathrm{i}+5592\,a^3\,c^5\,d^8-a^3\,c^4\,d^9\,360{}\mathrm{i}+4000\,a^3\,c^3\,d^{10}+a^3\,c^2\,d^{11}\,1056{}\mathrm{i}+1016\,a^3\,c\,d^{12}+a^3\,d^{13}\,440{}\mathrm{i}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(16\,a^3\,c^{12}\,d+a^3\,c^{11}\,d^2\,144{}\mathrm{i}-560\,a^3\,c^{10}\,d^3-a^3\,c^9\,d^4\,2160{}\mathrm{i}+1248\,a^3\,c^8\,d^5-a^3\,c^7\,d^6\,6752{}\mathrm{i}+6560\,a^3\,c^6\,d^7-a^3\,c^5\,d^8\,7904{}\mathrm{i}+8400\,a^3\,c^4\,d^9-a^3\,c^3\,d^{10}\,4912{}\mathrm{i}+5008\,a^3\,c^2\,d^{11}-a^3\,c\,d^{12}\,1456{}\mathrm{i}+1344\,a^3\,d^{13}\right)\right)+\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(-c^9\,d-c^8\,d^2\,12{}\mathrm{i}+68\,c^7\,d^3+c^6\,d^4\,124{}\mathrm{i}+186\,c^5\,d^5+c^4\,d^6\,1236{}\mathrm{i}-2652\,c^3\,d^7+c^2\,d^8\,10692{}\mathrm{i}+10159\,c\,d^9-d^{10}\,3080{}\mathrm{i}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-a^3\,c^6\,d^2+a^3\,c^5\,d^3\,6{}\mathrm{i}+15\,a^3\,c^4\,d^4-a^3\,c^3\,d^5\,20{}\mathrm{i}-15\,a^3\,c^2\,d^6+a^3\,c\,d^7\,6{}\mathrm{i}+a^3\,d^8\right)\,\left(-c^8\,d^2-c^7\,d^3\,12{}\mathrm{i}+68\,c^6\,d^4+c^5\,d^5\,4{}\mathrm{i}+762\,c^4\,d^6+c^3\,d^7\,2348{}\mathrm{i}+10596\,c^2\,d^8-c\,d^9\,10340{}\mathrm{i}-3025\,d^{10}\right)\right)\,\mathrm{root}\left(a^9\,c^9\,d^9\,e^3\,56320{}\mathrm{i}+a^9\,c^{11}\,d^7\,e^3\,36864{}\mathrm{i}+a^9\,c^7\,d^{11}\,e^3\,36864{}\mathrm{i}+29696\,a^9\,c^{12}\,d^6\,e^3-29696\,a^9\,c^6\,d^{12}\,e^3+16896\,a^9\,c^{10}\,d^8\,e^3-16896\,a^9\,c^8\,d^{10}\,e^3+15360\,a^9\,c^{14}\,d^4\,e^3-15360\,a^9\,c^4\,d^{14}\,e^3+a^9\,c^{13}\,d^5\,e^3\,6144{}\mathrm{i}+a^9\,c^5\,d^{13}\,e^3\,6144{}\mathrm{i}-a^9\,c^{15}\,d^3\,e^3\,4096{}\mathrm{i}-a^9\,c^3\,d^{15}\,e^3\,4096{}\mathrm{i}+2304\,a^9\,c^{16}\,d^2\,e^3-2304\,a^9\,c^2\,d^{16}\,e^3-a^9\,c^{17}\,d\,e^3\,1536{}\mathrm{i}-a^9\,c\,d^{17}\,e^3\,1536{}\mathrm{i}+256\,a^9\,d^{18}\,e^3-256\,a^9\,c^{18}\,e^3-a^3\,c\,d^{11}\,e\,64884{}\mathrm{i}-a^3\,c^{11}\,d\,e\,12{}\mathrm{i}+a^3\,c^3\,d^9\,e\,137380{}\mathrm{i}+136578\,a^3\,c^2\,d^{10}\,e-58575\,a^3\,c^4\,d^8\,e-1060\,a^3\,c^6\,d^6\,e+a^3\,c^7\,d^5\,e\,360{}\mathrm{i}-a^3\,c^5\,d^7\,e\,360{}\mathrm{i}-255\,a^3\,c^8\,d^4\,e+a^3\,c^9\,d^3\,e\,220{}\mathrm{i}+66\,a^3\,c^{10}\,d^2\,e-12433\,a^3\,d^{12}\,e-a^3\,c^{12}\,e-1026\,c^2\,d^7+c^3\,d^6\,430{}\mathrm{i}+117\,c^4\,d^5-c^5\,d^4\,15{}\mathrm{i}+c\,d^8\,1725{}\mathrm{i}+777\,d^9,e,k\right)}{f}+\frac{-\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(c^4+c^3\,d\,6{}\mathrm{i}-16\,c^2\,d^2+c\,d^3\,94{}\mathrm{i}+55\,d^4\right)}{8\,a^3\,\left(-c^7-c^6\,d\,3{}\mathrm{i}+c^5\,d^2-c^4\,d^3\,5{}\mathrm{i}+5\,c^3\,d^4-c^2\,d^5\,1{}\mathrm{i}+3\,c\,d^6+d^7\,1{}\mathrm{i}\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(c^5\,3{}\mathrm{i}-3\,c^4\,d+c^3\,d^2\,47{}\mathrm{i}-317\,c^2\,d^3+c\,d^4\,872{}\mathrm{i}+298\,d^5\right)}{24\,a^3\,d^2\,\left(c^6\,1{}\mathrm{i}-4\,c^5\,d-c^4\,d^2\,5{}\mathrm{i}-c^2\,d^4\,5{}\mathrm{i}+4\,c\,d^5+d^6\,1{}\mathrm{i}\right)}+\frac{50\,c^6+c^5\,d\,180{}\mathrm{i}-80\,c^4\,d^2+c^3\,d^3\,900{}\mathrm{i}+1250\,c^2\,d^4-c\,d^5\,360{}\mathrm{i}+60\,d^6}{120\,a^3\,d^2\,\left(c^2+d^2\right)\,\left(-c^5-c^4\,d\,3{}\mathrm{i}+2\,c^3\,d^2-c^2\,d^3\,2{}\mathrm{i}+3\,c\,d^4+d^5\,1{}\mathrm{i}\right)}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(2\,c^5+c^4\,d\,9{}\mathrm{i}-14\,c^3\,d^2+c^2\,d^3\,176{}\mathrm{i}+320\,c\,d^4-d^5\,137{}\mathrm{i}\right)}{8\,a^3\,d\,\left(-c^7-c^6\,d\,3{}\mathrm{i}+c^5\,d^2-c^4\,d^3\,5{}\mathrm{i}+5\,c^3\,d^4-c^2\,d^5\,1{}\mathrm{i}+3\,c\,d^6+d^7\,1{}\mathrm{i}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(c^6\,36{}\mathrm{i}-136\,c^5\,d-1496\,c^3\,d^3+c^2\,d^4\,3852{}\mathrm{i}+2288\,c\,d^5-d^6\,144{}\mathrm{i}\right)}{96\,a^3\,d^2\,\left(c^2+d^2\right)\,\left(-c^5-c^4\,d\,3{}\mathrm{i}+2\,c^3\,d^2-c^2\,d^3\,2{}\mathrm{i}+3\,c\,d^4+d^5\,1{}\mathrm{i}\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{2\,c}{d}-3{}\mathrm{i}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{c^2-3\,d^2}{d^2}-\frac{c\,6{}\mathrm{i}}{d}\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{3\,c^2}{d^2}+\frac{c\,2{}\mathrm{i}}{d}\right)+{\mathrm{tan}\left(e+f\,x\right)}^5-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{6\,c}{d}+\frac{\left(3\,c^2-d^2\right)\,1{}\mathrm{i}}{d^2}\right)+\frac{c^2\,1{}\mathrm{i}}{d^2}\right)}","Not used",1,"symsum(log((a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(10159*c*d^9 - c^9*d - d^10*3080i + c^2*d^8*10692i - 2652*c^3*d^7 + c^4*d^6*1236i + 186*c^5*d^5 + c^6*d^4*124i + 68*c^7*d^3 - c^8*d^2*12i) - root(a^9*c^9*d^9*e^3*56320i + a^9*c^11*d^7*e^3*36864i + a^9*c^7*d^11*e^3*36864i + 29696*a^9*c^12*d^6*e^3 - 29696*a^9*c^6*d^12*e^3 + 16896*a^9*c^10*d^8*e^3 - 16896*a^9*c^8*d^10*e^3 + 15360*a^9*c^14*d^4*e^3 - 15360*a^9*c^4*d^14*e^3 + a^9*c^13*d^5*e^3*6144i + a^9*c^5*d^13*e^3*6144i - a^9*c^15*d^3*e^3*4096i - a^9*c^3*d^15*e^3*4096i + 2304*a^9*c^16*d^2*e^3 - 2304*a^9*c^2*d^16*e^3 - a^9*c^17*d*e^3*1536i - a^9*c*d^17*e^3*1536i + 256*a^9*d^18*e^3 - 256*a^9*c^18*e^3 - a^3*c*d^11*e*64884i - a^3*c^11*d*e*12i + a^3*c^3*d^9*e*137380i + 136578*a^3*c^2*d^10*e - 58575*a^3*c^4*d^8*e - 1060*a^3*c^6*d^6*e + a^3*c^7*d^5*e*360i - a^3*c^5*d^7*e*360i - 255*a^3*c^8*d^4*e + a^3*c^9*d^3*e*220i + 66*a^3*c^10*d^2*e - 12433*a^3*d^12*e - a^3*c^12*e - 1026*c^2*d^7 + c^3*d^6*430i + 117*c^4*d^5 - c^5*d^4*15i + c*d^8*1725i + 777*d^9, e, k)*(root(a^9*c^9*d^9*e^3*56320i + a^9*c^11*d^7*e^3*36864i + a^9*c^7*d^11*e^3*36864i + 29696*a^9*c^12*d^6*e^3 - 29696*a^9*c^6*d^12*e^3 + 16896*a^9*c^10*d^8*e^3 - 16896*a^9*c^8*d^10*e^3 + 15360*a^9*c^14*d^4*e^3 - 15360*a^9*c^4*d^14*e^3 + a^9*c^13*d^5*e^3*6144i + a^9*c^5*d^13*e^3*6144i - a^9*c^15*d^3*e^3*4096i - a^9*c^3*d^15*e^3*4096i + 2304*a^9*c^16*d^2*e^3 - 2304*a^9*c^2*d^16*e^3 - a^9*c^17*d*e^3*1536i - a^9*c*d^17*e^3*1536i + 256*a^9*d^18*e^3 - 256*a^9*c^18*e^3 - a^3*c*d^11*e*64884i - a^3*c^11*d*e*12i + a^3*c^3*d^9*e*137380i + 136578*a^3*c^2*d^10*e - 58575*a^3*c^4*d^8*e - 1060*a^3*c^6*d^6*e + a^3*c^7*d^5*e*360i - a^3*c^5*d^7*e*360i - 255*a^3*c^8*d^4*e + a^3*c^9*d^3*e*220i + 66*a^3*c^10*d^2*e - 12433*a^3*d^12*e - a^3*c^12*e - 1026*c^2*d^7 + c^3*d^6*430i + 117*c^4*d^5 - c^5*d^4*15i + c*d^8*1725i + 777*d^9, e, k)*((a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(512*a^6*c^15*d - 512*a^6*c*d^15 + a^6*c^2*d^14*3072i + 5632*a^6*c^3*d^13 + a^6*c^4*d^12*2048i + 19968*a^6*c^5*d^11 - a^6*c^6*d^10*19456i + 13824*a^6*c^7*d^9 - a^6*c^8*d^8*36864i - 13824*a^6*c^9*d^7 - a^6*c^10*d^6*19456i - 19968*a^6*c^11*d^5 + a^6*c^12*d^4*2048i - 5632*a^6*c^13*d^3 + a^6*c^14*d^2*3072i) + tan(e + f*x)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(a^6*c*d^15*2304i - 384*a^6*d^16 - 128*a^6*c^16 - a^6*c^15*d*768i + 4352*a^6*c^2*d^14 + a^6*c^3*d^13*768i + 13568*a^6*c^4*d^12 - a^6*c^5*d^11*15104i + 5376*a^6*c^6*d^10 - a^6*c^7*d^9*22784i - 13824*a^6*c^8*d^8 - a^6*c^9*d^7*5376i - 11520*a^6*c^10*d^6 + a^6*c^11*d^5*6400i + 768*a^6*c^12*d^4 + a^6*c^13*d^3*1792i + 1792*a^6*c^14*d^2)) + (a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(8*a^3*c^13 + a^3*d^13*440i + 1016*a^3*c*d^12 + a^3*c^12*d*72i + a^3*c^2*d^11*1056i + 4000*a^3*c^3*d^10 - a^3*c^4*d^9*360i + 5592*a^3*c^5*d^8 - a^3*c^6*d^7*2944i + 2944*a^3*c^7*d^6 - a^3*c^8*d^5*2712i + 40*a^3*c^9*d^4 - a^3*c^10*d^3*672i - 288*a^3*c^11*d^2) + tan(e + f*x)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(1344*a^3*d^13 - a^3*c*d^12*1456i + 16*a^3*c^12*d + 5008*a^3*c^2*d^11 - a^3*c^3*d^10*4912i + 8400*a^3*c^4*d^9 - a^3*c^5*d^8*7904i + 6560*a^3*c^6*d^7 - a^3*c^7*d^6*6752i + 1248*a^3*c^8*d^5 - a^3*c^9*d^4*2160i - 560*a^3*c^10*d^3 + a^3*c^11*d^2*144i)) + tan(e + f*x)*(a^3*d^8 + a^3*c*d^7*6i - 15*a^3*c^2*d^6 - a^3*c^3*d^5*20i + 15*a^3*c^4*d^4 + a^3*c^5*d^3*6i - a^3*c^6*d^2)*(10596*c^2*d^8 - 3025*d^10 - c*d^9*10340i + c^3*d^7*2348i + 762*c^4*d^6 + c^5*d^5*4i + 68*c^6*d^4 - c^7*d^3*12i - c^8*d^2))*root(a^9*c^9*d^9*e^3*56320i + a^9*c^11*d^7*e^3*36864i + a^9*c^7*d^11*e^3*36864i + 29696*a^9*c^12*d^6*e^3 - 29696*a^9*c^6*d^12*e^3 + 16896*a^9*c^10*d^8*e^3 - 16896*a^9*c^8*d^10*e^3 + 15360*a^9*c^14*d^4*e^3 - 15360*a^9*c^4*d^14*e^3 + a^9*c^13*d^5*e^3*6144i + a^9*c^5*d^13*e^3*6144i - a^9*c^15*d^3*e^3*4096i - a^9*c^3*d^15*e^3*4096i + 2304*a^9*c^16*d^2*e^3 - 2304*a^9*c^2*d^16*e^3 - a^9*c^17*d*e^3*1536i - a^9*c*d^17*e^3*1536i + 256*a^9*d^18*e^3 - 256*a^9*c^18*e^3 - a^3*c*d^11*e*64884i - a^3*c^11*d*e*12i + a^3*c^3*d^9*e*137380i + 136578*a^3*c^2*d^10*e - 58575*a^3*c^4*d^8*e - 1060*a^3*c^6*d^6*e + a^3*c^7*d^5*e*360i - a^3*c^5*d^7*e*360i - 255*a^3*c^8*d^4*e + a^3*c^9*d^3*e*220i + 66*a^3*c^10*d^2*e - 12433*a^3*d^12*e - a^3*c^12*e - 1026*c^2*d^7 + c^3*d^6*430i + 117*c^4*d^5 - c^5*d^4*15i + c*d^8*1725i + 777*d^9, e, k), k, 1, 3)/f + ((tan(e + f*x)^2*(c*d^4*872i - 3*c^4*d + c^5*3i + 298*d^5 - 317*c^2*d^3 + c^3*d^2*47i))/(24*a^3*d^2*(4*c*d^5 - 4*c^5*d + c^6*1i + d^6*1i - c^2*d^4*5i - c^4*d^2*5i)) - (tan(e + f*x)^4*(c*d^3*94i + c^3*d*6i + c^4 + 55*d^4 - 16*c^2*d^2))/(8*a^3*(3*c*d^6 - c^6*d*3i - c^7 + d^7*1i - c^2*d^5*1i + 5*c^3*d^4 - c^4*d^3*5i + c^5*d^2)) + (c^5*d*180i - c*d^5*360i + 50*c^6 + 60*d^6 + 1250*c^2*d^4 + c^3*d^3*900i - 80*c^4*d^2)/(120*a^3*d^2*(c^2 + d^2)*(3*c*d^4 - c^4*d*3i - c^5 + d^5*1i - c^2*d^3*2i + 2*c^3*d^2)) - (tan(e + f*x)^3*(320*c*d^4 + c^4*d*9i + 2*c^5 - d^5*137i + c^2*d^3*176i - 14*c^3*d^2))/(8*a^3*d*(3*c*d^6 - c^6*d*3i - c^7 + d^7*1i - c^2*d^5*1i + 5*c^3*d^4 - c^4*d^3*5i + c^5*d^2)) + (tan(e + f*x)*(2288*c*d^5 - 136*c^5*d + c^6*36i - d^6*144i + c^2*d^4*3852i - 1496*c^3*d^3))/(96*a^3*d^2*(c^2 + d^2)*(3*c*d^4 - c^4*d*3i - c^5 + d^5*1i - c^2*d^3*2i + 2*c^3*d^2)))/(f*(tan(e + f*x)^4*((2*c)/d - 3i) + tan(e + f*x)^3*((c^2 - 3*d^2)/d^2 - (c*6i)/d) + tan(e + f*x)*((c*2i)/d - (3*c^2)/d^2) + tan(e + f*x)^5 - tan(e + f*x)^2*((6*c)/d + ((3*c^2 - d^2)*1i)/d^2) + (c^2*1i)/d^2))","B"
1101,1,200,150,8.889019,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^(1/2),x)","-\left(\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d^2\,f}\right)+\frac{a^3\,{\left(c+d\,1{}\mathrm{i}\right)}^2\,2{}\mathrm{i}}{d^2\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{3\,d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{3\,d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-\frac{a^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,2{}\mathrm{i}}{5\,d^2\,f}+\frac{\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{4\,\sqrt{d+c\,1{}\mathrm{i}}}\right)\,\sqrt{d+c\,1{}\mathrm{i}}\,2{}\mathrm{i}}{f}","Not used",1,"(16i^(1/2)*a^3*atan((16i^(1/2)*(c + d*tan(e + f*x))^(1/2)*1i)/(4*(c*1i + d)^(1/2)))*(c*1i + d)^(1/2)*2i)/f - ((a^3*(c - d*1i)*2i)/(3*d^2*f) - (a^3*(c + d*1i)*4i)/(3*d^2*f))*(c + d*tan(e + f*x))^(3/2) - (a^3*(c + d*tan(e + f*x))^(5/2)*2i)/(5*d^2*f) - ((c - d*1i)*((a^3*(c - d*1i)*2i)/(d^2*f) - (a^3*(c + d*1i)*4i)/(d^2*f)) + (a^3*(c + d*1i)^2*2i)/(d^2*f))*(c + d*tan(e + f*x))^(1/2)","B"
1102,1,90,100,7.068862,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^(1/2),x)","\frac{a^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,4{}\mathrm{i}}{f}-\frac{2\,a^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,d\,f}-\frac{2\,\sqrt{4{}\mathrm{i}}\,a^2\,\mathrm{atanh}\left(\frac{\sqrt{4{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\sqrt{d+c\,1{}\mathrm{i}}}\right)\,\sqrt{d+c\,1{}\mathrm{i}}}{f}","Not used",1,"(a^2*(c + d*tan(e + f*x))^(1/2)*4i)/f - (2*a^2*(c + d*tan(e + f*x))^(3/2))/(3*d*f) - (2*4i^(1/2)*a^2*atanh((4i^(1/2)*(c + d*tan(e + f*x))^(1/2))/(2*(c*1i + d)^(1/2)))*(c*1i + d)^(1/2))/f","B"
1103,1,854,69,7.196370,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^(1/2),x)","-2\,\mathrm{atanh}\left(\frac{32\,a^2\,d^4\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4}}{4\,f^4}-\frac{a^2\,c}{4\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{a\,d^4\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f^3}+\frac{a\,c^2\,d^2\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f^3}}+\frac{32\,c\,d^2\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4}}{4\,f^4}-\frac{a^2\,c}{4\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-a^4\,d^2\,f^4}}{\frac{a\,d^4\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f}+\frac{a\,c^2\,d^2\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f}}\right)\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4}+a^2\,c\,f^2}{4\,f^4}}+2\,\mathrm{atanh}\left(\frac{32\,a^2\,d^4\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4}}{4\,f^4}-\frac{a^2\,c}{4\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{a\,d^4\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f^3}+\frac{a\,c^2\,d^2\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f^3}}-\frac{32\,c\,d^2\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4}}{4\,f^4}-\frac{a^2\,c}{4\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-a^4\,d^2\,f^4}}{\frac{a\,d^4\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f}+\frac{a\,c^2\,d^2\,\sqrt{-a^4\,d^2\,f^4}\,16{}\mathrm{i}}{f}}\right)\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4}-a^2\,c\,f^2}{4\,f^4}}-\mathrm{atanh}\left(\frac{f^3\,\left(\frac{16\,\left(a^2\,d^4-a^2\,c^2\,d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2}+\frac{16\,c\,d^2\,\left(\sqrt{-a^4\,d^2\,f^4}+a^2\,c\,f^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4}+a^2\,c\,f^2}{f^4}}}{16\,\left(a^3\,c^2\,d^3+a^3\,d^5\right)}\right)\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4}+a^2\,c\,f^2}{f^4}}-\mathrm{atanh}\left(\frac{f^3\,\left(\frac{16\,\left(a^2\,d^4-a^2\,c^2\,d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2}-\frac{16\,c\,d^2\,\left(\sqrt{-a^4\,d^2\,f^4}-a^2\,c\,f^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4}-a^2\,c\,f^2}{f^4}}}{16\,\left(a^3\,c^2\,d^3+a^3\,d^5\right)}\right)\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4}-a^2\,c\,f^2}{f^4}}+\frac{a\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{f}","Not used",1,"2*atanh((32*a^2*d^4*((-a^4*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c)/(4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((a*d^4*(-a^4*d^2*f^4)^(1/2)*16i)/f^3 + (a*c^2*d^2*(-a^4*d^2*f^4)^(1/2)*16i)/f^3) - (32*c*d^2*((-a^4*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c)/(4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-a^4*d^2*f^4)^(1/2))/((a*d^4*(-a^4*d^2*f^4)^(1/2)*16i)/f + (a*c^2*d^2*(-a^4*d^2*f^4)^(1/2)*16i)/f))*(((-a^4*d^2*f^4)^(1/2) - a^2*c*f^2)/(4*f^4))^(1/2) - 2*atanh((32*a^2*d^4*(- (-a^4*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c)/(4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((a*d^4*(-a^4*d^2*f^4)^(1/2)*16i)/f^3 + (a*c^2*d^2*(-a^4*d^2*f^4)^(1/2)*16i)/f^3) + (32*c*d^2*(- (-a^4*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c)/(4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-a^4*d^2*f^4)^(1/2))/((a*d^4*(-a^4*d^2*f^4)^(1/2)*16i)/f + (a*c^2*d^2*(-a^4*d^2*f^4)^(1/2)*16i)/f))*(-((-a^4*d^2*f^4)^(1/2) + a^2*c*f^2)/(4*f^4))^(1/2) - atanh((f^3*((16*(a^2*d^4 - a^2*c^2*d^2)*(c + d*tan(e + f*x))^(1/2))/f^2 + (16*c*d^2*((-a^4*d^2*f^4)^(1/2) + a^2*c*f^2)*(c + d*tan(e + f*x))^(1/2))/f^4)*(-((-a^4*d^2*f^4)^(1/2) + a^2*c*f^2)/f^4)^(1/2))/(16*(a^3*d^5 + a^3*c^2*d^3)))*(-((-a^4*d^2*f^4)^(1/2) + a^2*c*f^2)/f^4)^(1/2) - atanh((f^3*((16*(a^2*d^4 - a^2*c^2*d^2)*(c + d*tan(e + f*x))^(1/2))/f^2 - (16*c*d^2*((-a^4*d^2*f^4)^(1/2) - a^2*c*f^2)*(c + d*tan(e + f*x))^(1/2))/f^4)*(((-a^4*d^2*f^4)^(1/2) - a^2*c*f^2)/f^4)^(1/2))/(16*(a^3*d^5 + a^3*c^2*d^3)))*(((-a^4*d^2*f^4)^(1/2) - a^2*c*f^2)/f^4)^(1/2) + (a*(c + d*tan(e + f*x))^(1/2)*2i)/f","B"
1104,1,763,140,7.739261,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i),x)","-2\,\mathrm{atanh}\left(\frac{4\,a^2\,d^4\,f^2\,\sqrt{-\frac{c}{16\,a^2\,f^2}+\frac{d\,1{}\mathrm{i}}{16\,a^2\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{a\,f\,d^5+1{}\mathrm{i}\,a\,c\,f\,d^4}\right)\,\sqrt{-\frac{c}{16\,a^2\,f^2}+\frac{d\,1{}\mathrm{i}}{16\,a^2\,f^2}}-\mathrm{atan}\left(\frac{a^2\,d^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^2\,1{}\mathrm{i}}{16\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)}}\,4{}\mathrm{i}}{a\,c\,d^4\,f\,1{}\mathrm{i}-a\,c^2\,d^3\,f+\frac{a^3\,c^2\,d^4\,f^3}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}+\frac{a^3\,c^3\,d^3\,f^3\,1{}\mathrm{i}}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}}+\frac{8\,a^4\,c^3\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^2\,1{}\mathrm{i}}{16\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)}}}{a^3\,c\,d^5\,f^3\,1{}\mathrm{i}+a^3\,c^3\,d^3\,f^3\,1{}\mathrm{i}+\frac{a^5\,c^2\,d^5\,f^5}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}+\frac{a^5\,c^4\,d^3\,f^5}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}}-\frac{8\,a^2\,c\,d^3\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^2\,1{}\mathrm{i}}{16\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)}}}{a\,c\,d^4\,f\,1{}\mathrm{i}-a\,c^2\,d^3\,f+\frac{a^3\,c^2\,d^4\,f^3}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}+\frac{a^3\,c^3\,d^3\,f^3\,1{}\mathrm{i}}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}}-\frac{a^2\,c^2\,d^2\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^2\,1{}\mathrm{i}}{16\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)}}\,8{}\mathrm{i}}{a\,c\,d^4\,f\,1{}\mathrm{i}-a\,c^2\,d^3\,f+\frac{a^3\,c^2\,d^4\,f^3}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}+\frac{a^3\,c^3\,d^3\,f^3\,1{}\mathrm{i}}{-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}}}\right)\,\sqrt{-\frac{c^2\,1{}\mathrm{i}}{16\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\frac{d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,\left(-a\,d\,f\,\mathrm{tan}\left(e+f\,x\right)+a\,d\,f\,1{}\mathrm{i}\right)}","Not used",1,"- 2*atanh((4*a^2*d^4*f^2*((d*1i)/(16*a^2*f^2) - c/(16*a^2*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2))/(a*d^5*f + a*c*d^4*f*1i))*((d*1i)/(16*a^2*f^2) - c/(16*a^2*f^2))^(1/2) - atan((a^2*d^4*f^2*(c + d*tan(e + f*x))^(1/2)*(-(c^2*1i)/(16*(a^2*c*f^2*1i - a^2*d*f^2)))^(1/2)*4i)/(a*c*d^4*f*1i - a*c^2*d^3*f + (a^3*c^2*d^4*f^3)/(a^2*c*f^2*1i - a^2*d*f^2) + (a^3*c^3*d^3*f^3*1i)/(a^2*c*f^2*1i - a^2*d*f^2)) + (8*a^4*c^3*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(c^2*1i)/(16*(a^2*c*f^2*1i - a^2*d*f^2)))^(1/2))/(a^3*c*d^5*f^3*1i + a^3*c^3*d^3*f^3*1i + (a^5*c^2*d^5*f^5)/(a^2*c*f^2*1i - a^2*d*f^2) + (a^5*c^4*d^3*f^5)/(a^2*c*f^2*1i - a^2*d*f^2)) - (8*a^2*c*d^3*f^2*(c + d*tan(e + f*x))^(1/2)*(-(c^2*1i)/(16*(a^2*c*f^2*1i - a^2*d*f^2)))^(1/2))/(a*c*d^4*f*1i - a*c^2*d^3*f + (a^3*c^2*d^4*f^3)/(a^2*c*f^2*1i - a^2*d*f^2) + (a^3*c^3*d^3*f^3*1i)/(a^2*c*f^2*1i - a^2*d*f^2)) - (a^2*c^2*d^2*f^2*(c + d*tan(e + f*x))^(1/2)*(-(c^2*1i)/(16*(a^2*c*f^2*1i - a^2*d*f^2)))^(1/2)*8i)/(a*c*d^4*f*1i - a*c^2*d^3*f + (a^3*c^2*d^4*f^3)/(a^2*c*f^2*1i - a^2*d*f^2) + (a^3*c^3*d^3*f^3*1i)/(a^2*c*f^2*1i - a^2*d*f^2)))*(-(c^2*1i)/(16*(a^2*c*f^2*1i - a^2*d*f^2)))^(1/2)*2i - (d*(c + d*tan(e + f*x))^(1/2))/(2*(a*d*f*1i - a*d*f*tan(e + f*x)))","B"
1105,1,14675,211,8.167400,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^2,x)","\ln\left(\left(\sqrt{-\frac{3\,d^9-c\,d^8\,9{}\mathrm{i}+12\,c^2\,d^7-c^3\,d^6\,16{}\mathrm{i}+8\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(-512\,a^6\,c\,d^7\,f^3+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(512\,a^4\,c^3\,d^2\,f^2+a^4\,c^2\,d^3\,f^2\,1024{}\mathrm{i}-512\,a^4\,c\,d^4\,f^2\right)\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\,\sqrt{-\frac{3\,d^9-c\,d^8\,9{}\mathrm{i}+12\,c^2\,d^7-c^3\,d^6\,16{}\mathrm{i}+8\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}-768\,a^6\,c^3\,d^5\,f^3-256\,a^6\,c^5\,d^3\,f^3+a^6\,d^8\,f^3\,384{}\mathrm{i}+a^6\,c^2\,d^6\,f^3\,512{}\mathrm{i}+a^6\,c^4\,d^4\,f^3\,128{}\mathrm{i}\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,8{}\mathrm{i}+8\,c^2\,d^4+c\,d^5\,4{}\mathrm{i}+5\,d^6\right)\right)\,\sqrt{-\frac{3\,d^9-c\,d^8\,9{}\mathrm{i}+12\,c^2\,d^7-c^3\,d^6\,16{}\mathrm{i}+8\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}+a^2\,d^9\,f+3\,a^2\,c^2\,d^7\,f+a^2\,c^3\,d^6\,f\,13{}\mathrm{i}-6\,a^2\,c^4\,d^5\,f+a^2\,c^5\,d^4\,f\,6{}\mathrm{i}-4\,a^2\,c^6\,d^3\,f+a^2\,c\,d^8\,f\,3{}\mathrm{i}\right)\,\sqrt{-\frac{3\,d^9-c\,d^8\,9{}\mathrm{i}+12\,c^2\,d^7-c^3\,d^6\,16{}\mathrm{i}+8\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(\left(\sqrt{\frac{c\,d^8\,9{}\mathrm{i}-3\,d^9-12\,c^2\,d^7+c^3\,d^6\,16{}\mathrm{i}-8\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(-512\,a^6\,c\,d^7\,f^3+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(512\,a^4\,c^3\,d^2\,f^2+a^4\,c^2\,d^3\,f^2\,1024{}\mathrm{i}-512\,a^4\,c\,d^4\,f^2\right)\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\,\sqrt{\frac{c\,d^8\,9{}\mathrm{i}-3\,d^9-12\,c^2\,d^7+c^3\,d^6\,16{}\mathrm{i}-8\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}-768\,a^6\,c^3\,d^5\,f^3-256\,a^6\,c^5\,d^3\,f^3+a^6\,d^8\,f^3\,384{}\mathrm{i}+a^6\,c^2\,d^6\,f^3\,512{}\mathrm{i}+a^6\,c^4\,d^4\,f^3\,128{}\mathrm{i}\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,8{}\mathrm{i}+8\,c^2\,d^4+c\,d^5\,4{}\mathrm{i}+5\,d^6\right)\right)\,\sqrt{\frac{c\,d^8\,9{}\mathrm{i}-3\,d^9-12\,c^2\,d^7+c^3\,d^6\,16{}\mathrm{i}-8\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}+a^2\,d^9\,f+3\,a^2\,c^2\,d^7\,f+a^2\,c^3\,d^6\,f\,13{}\mathrm{i}-6\,a^2\,c^4\,d^5\,f+a^2\,c^5\,d^4\,f\,6{}\mathrm{i}-4\,a^2\,c^6\,d^3\,f+a^2\,c\,d^8\,f\,3{}\mathrm{i}\right)\,\sqrt{\frac{c\,d^8\,9{}\mathrm{i}-3\,d^9-12\,c^2\,d^7+c^3\,d^6\,16{}\mathrm{i}-8\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}-a^4\,c^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+a^4\,d^2\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2\,\sqrt{{\left(-\frac{8\,c^7\,d^4+24\,c^5\,d^6+17\,c^3\,d^8-3\,c\,d^{10}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}+\frac{\left(8\,c^6\,d^5+28\,c^4\,d^7+27\,c^2\,d^9+3\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^2+2\,a^4\,c^2\,d^2\,f^2+a^4\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}-\frac{11\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{d^{12}}{64}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{7\,c^5\,d^7}{16}+\frac{5\,c^3\,d^9}{16}-\frac{c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^4\,f^4+2\,a^8\,c^2\,d^2\,f^4+a^8\,d^4\,f^4}\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^2\,f^2\,1{}\mathrm{i}+2\,a^4\,c\,d\,f^2+a^4\,d^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{\frac{\left(d^2\,3{}\mathrm{i}+2\,c\,d\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{8\,a^2\,f}-\frac{d\,\left(2\,c+d\,1{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8\,a^2\,f\,\left(c+d\,1{}\mathrm{i}\right)}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-\left(2\,c+d\,2{}\mathrm{i}\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+c^2-d^2+c\,d\,2{}\mathrm{i}}-\ln\left(a^2\,d^9\,f-\sqrt{\frac{3\,c\,d^{10}+d^{11}\,3{}\mathrm{i}+c^2\,d^9\,27{}\mathrm{i}-17\,c^3\,d^8+c^4\,d^7\,28{}\mathrm{i}-24\,c^5\,d^6+c^6\,d^5\,8{}\mathrm{i}-8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}\,\left(\sqrt{\frac{3\,c\,d^{10}+d^{11}\,3{}\mathrm{i}+c^2\,d^9\,27{}\mathrm{i}-17\,c^3\,d^8+c^4\,d^7\,28{}\mathrm{i}-24\,c^5\,d^6+c^6\,d^5\,8{}\mathrm{i}-8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}\,\left(512\,a^6\,c\,d^7\,f^3-a^6\,d^8\,f^3\,384{}\mathrm{i}-a^6\,c^2\,d^6\,f^3\,512{}\mathrm{i}+768\,a^6\,c^3\,d^5\,f^3-a^6\,c^4\,d^4\,f^3\,128{}\mathrm{i}+256\,a^6\,c^5\,d^3\,f^3+8\,\sqrt{\frac{3\,c\,d^{10}+d^{11}\,3{}\mathrm{i}+c^2\,d^9\,27{}\mathrm{i}-17\,c^3\,d^8+c^4\,d^7\,28{}\mathrm{i}-24\,c^5\,d^6+c^6\,d^5\,8{}\mathrm{i}-8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(512\,a^4\,c^3\,d^2\,f^2+a^4\,c^2\,d^3\,f^2\,1024{}\mathrm{i}-512\,a^4\,c\,d^4\,f^2\right)\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,8{}\mathrm{i}+8\,c^2\,d^4+c\,d^5\,4{}\mathrm{i}+5\,d^6\right)\right)+3\,a^2\,c^2\,d^7\,f+a^2\,c^3\,d^6\,f\,13{}\mathrm{i}-6\,a^2\,c^4\,d^5\,f+a^2\,c^5\,d^4\,f\,6{}\mathrm{i}-4\,a^2\,c^6\,d^3\,f+a^2\,c\,d^8\,f\,3{}\mathrm{i}\right)\,\sqrt{\frac{3\,c\,d^{10}+d^{11}\,3{}\mathrm{i}+c^2\,d^9\,27{}\mathrm{i}-17\,c^3\,d^8+c^4\,d^7\,28{}\mathrm{i}-24\,c^5\,d^6+c^6\,d^5\,8{}\mathrm{i}-8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}-\ln\left(a^2\,d^9\,f-\sqrt{-\frac{17\,c^3\,d^8-d^{11}\,3{}\mathrm{i}-c^2\,d^9\,27{}\mathrm{i}-3\,c\,d^{10}-c^4\,d^7\,28{}\mathrm{i}+24\,c^5\,d^6-c^6\,d^5\,8{}\mathrm{i}+8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}\,\left(\sqrt{-\frac{17\,c^3\,d^8-d^{11}\,3{}\mathrm{i}-c^2\,d^9\,27{}\mathrm{i}-3\,c\,d^{10}-c^4\,d^7\,28{}\mathrm{i}+24\,c^5\,d^6-c^6\,d^5\,8{}\mathrm{i}+8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}\,\left(512\,a^6\,c\,d^7\,f^3-a^6\,d^8\,f^3\,384{}\mathrm{i}-a^6\,c^2\,d^6\,f^3\,512{}\mathrm{i}+768\,a^6\,c^3\,d^5\,f^3-a^6\,c^4\,d^4\,f^3\,128{}\mathrm{i}+256\,a^6\,c^5\,d^3\,f^3+8\,\sqrt{-\frac{17\,c^3\,d^8-d^{11}\,3{}\mathrm{i}-c^2\,d^9\,27{}\mathrm{i}-3\,c\,d^{10}-c^4\,d^7\,28{}\mathrm{i}+24\,c^5\,d^6-c^6\,d^5\,8{}\mathrm{i}+8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(512\,a^4\,c^3\,d^2\,f^2+a^4\,c^2\,d^3\,f^2\,1024{}\mathrm{i}-512\,a^4\,c\,d^4\,f^2\right)\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,f^2+a^4\,c\,d\,f^2\,2{}\mathrm{i}+a^4\,d^2\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,8{}\mathrm{i}+8\,c^2\,d^4+c\,d^5\,4{}\mathrm{i}+5\,d^6\right)\right)+3\,a^2\,c^2\,d^7\,f+a^2\,c^3\,d^6\,f\,13{}\mathrm{i}-6\,a^2\,c^4\,d^5\,f+a^2\,c^5\,d^4\,f\,6{}\mathrm{i}-4\,a^2\,c^6\,d^3\,f+a^2\,c\,d^8\,f\,3{}\mathrm{i}\right)\,\sqrt{-\frac{17\,c^3\,d^8-d^{11}\,3{}\mathrm{i}-c^2\,d^9\,27{}\mathrm{i}-3\,c\,d^{10}-c^4\,d^7\,28{}\mathrm{i}+24\,c^5\,d^6-c^6\,d^5\,8{}\mathrm{i}+8\,c^7\,d^4+a^4\,c^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+a^4\,d^4\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}+2\,a^4\,c^2\,d^2\,f^2\,\sqrt{\frac{-16\,c^8\,d^{14}+c^7\,d^{15}\,56{}\mathrm{i}+25\,c^6\,d^{16}+c^5\,d^{17}\,130{}\mathrm{i}+185\,c^4\,d^{18}-c^3\,d^{19}\,4{}\mathrm{i}+151\,c^2\,d^{20}-c\,d^{21}\,110{}\mathrm{i}-25\,d^{22}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}}}{512\,a^4\,c^6\,d^4\,f^2+1536\,a^4\,c^4\,d^6\,f^2+1536\,a^4\,c^2\,d^8\,f^2+512\,a^4\,d^{10}\,f^2}}","Not used",1,"log(((-(3*d^9 - c*d^8*9i + 12*c^2*d^7 - c^3*d^6*16i + 8*c^4*d^5 - c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2)*(a^6*d^8*f^3*384i - 512*a^6*c*d^7*f^3 + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^2*d^3*f^2*1024i - 512*a^4*c*d^4*f^2 + 512*a^4*c^3*d^2*f^2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)*(-(3*d^9 - c*d^8*9i + 12*c^2*d^7 - c^3*d^6*16i + 8*c^4*d^5 - c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2) + a^6*c^2*d^6*f^3*512i - 768*a^6*c^3*d^5*f^3 + a^6*c^4*d^4*f^3*128i - 256*a^6*c^5*d^3*f^3) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)*(c*d^5*4i + 5*d^6 + 8*c^2*d^4 + c^3*d^3*8i + 8*c^4*d^2))*(-(3*d^9 - c*d^8*9i + 12*c^2*d^7 - c^3*d^6*16i + 8*c^4*d^5 - c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2) + a^2*d^9*f + 3*a^2*c^2*d^7*f + a^2*c^3*d^6*f*13i - 6*a^2*c^4*d^5*f + a^2*c^5*d^4*f*6i - 4*a^2*c^6*d^3*f + a^2*c*d^8*f*3i)*(-(3*d^9 - c*d^8*9i + 12*c^2*d^7 - c^3*d^6*16i + 8*c^4*d^5 - c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2) + log((((c*d^8*9i - 3*d^9 - 12*c^2*d^7 + c^3*d^6*16i - 8*c^4*d^5 + c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2)*(a^6*d^8*f^3*384i - 512*a^6*c*d^7*f^3 + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^2*d^3*f^2*1024i - 512*a^4*c*d^4*f^2 + 512*a^4*c^3*d^2*f^2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)*((c*d^8*9i - 3*d^9 - 12*c^2*d^7 + c^3*d^6*16i - 8*c^4*d^5 + c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2) + a^6*c^2*d^6*f^3*512i - 768*a^6*c^3*d^5*f^3 + a^6*c^4*d^4*f^3*128i - 256*a^6*c^5*d^3*f^3) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)*(c*d^5*4i + 5*d^6 + 8*c^2*d^4 + c^3*d^3*8i + 8*c^4*d^2))*((c*d^8*9i - 3*d^9 - 12*c^2*d^7 + c^3*d^6*16i - 8*c^4*d^5 + c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2) + a^2*d^9*f + 3*a^2*c^2*d^7*f + a^2*c^3*d^6*f*13i - 6*a^2*c^4*d^5*f + a^2*c^5*d^4*f*6i - 4*a^2*c^6*d^3*f + a^2*c*d^8*f*3i)*((c*d^8*9i - 3*d^9 - 12*c^2*d^7 + c^3*d^6*16i - 8*c^4*d^5 + c^5*d^4*8i - a^4*c^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + a^4*d^2*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2)*1i + 2*a^4*c*d*f^2*((((3*d^11 + 27*c^2*d^9 + 28*c^4*d^7 + 8*c^6*d^5)*1i)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2) - (17*c^3*d^8 - 3*c*d^10 + 24*c^5*d^6 + 8*c^7*d^4)/(a^4*c^4*f^2 + a^4*d^4*f^2 + 2*a^4*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*((((5*c^3*d^9)/16 - (c*d^11)/8 + (7*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4) - (d^12/64 - (11*c^2*d^10)/32 - (11*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^4*f^4 + a^8*d^4*f^4 + 2*a^8*c^2*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*d^2*f^2*1i - a^4*c^2*f^2*1i + 2*a^4*c*d*f^2)))^(1/2) - (((2*c*d + d^2*3i)*(c + d*tan(e + f*x))^(1/2))/(8*a^2*f) - (d*(2*c + d*1i)*(c + d*tan(e + f*x))^(3/2))/(8*a^2*f*(c + d*1i)))/(c*d*2i - (2*c + d*2i)*(c + d*tan(e + f*x)) + (c + d*tan(e + f*x))^2 + c^2 - d^2) - log(a^2*d^9*f - ((3*c*d^10 + d^11*3i + c^2*d^9*27i - 17*c^3*d^8 + c^4*d^7*28i - 24*c^5*d^6 + c^6*d^5*8i - 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2)*(((3*c*d^10 + d^11*3i + c^2*d^9*27i - 17*c^3*d^8 + c^4*d^7*28i - 24*c^5*d^6 + c^6*d^5*8i - 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2)*(512*a^6*c*d^7*f^3 - a^6*d^8*f^3*384i - a^6*c^2*d^6*f^3*512i + 768*a^6*c^3*d^5*f^3 - a^6*c^4*d^4*f^3*128i + 256*a^6*c^5*d^3*f^3 + 8*((3*c*d^10 + d^11*3i + c^2*d^9*27i - 17*c^3*d^8 + c^4*d^7*28i - 24*c^5*d^6 + c^6*d^5*8i - 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^4*c^2*d^3*f^2*1024i - 512*a^4*c*d^4*f^2 + 512*a^4*c^3*d^2*f^2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)*(c*d^5*4i + 5*d^6 + 8*c^2*d^4 + c^3*d^3*8i + 8*c^4*d^2)) + 3*a^2*c^2*d^7*f + a^2*c^3*d^6*f*13i - 6*a^2*c^4*d^5*f + a^2*c^5*d^4*f*6i - 4*a^2*c^6*d^3*f + a^2*c*d^8*f*3i)*((3*c*d^10 + d^11*3i + c^2*d^9*27i - 17*c^3*d^8 + c^4*d^7*28i - 24*c^5*d^6 + c^6*d^5*8i - 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2) - log(a^2*d^9*f - (-(17*c^3*d^8 - d^11*3i - c^2*d^9*27i - 3*c*d^10 - c^4*d^7*28i + 24*c^5*d^6 - c^6*d^5*8i + 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2)*((-(17*c^3*d^8 - d^11*3i - c^2*d^9*27i - 3*c*d^10 - c^4*d^7*28i + 24*c^5*d^6 - c^6*d^5*8i + 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2)*(512*a^6*c*d^7*f^3 - a^6*d^8*f^3*384i - a^6*c^2*d^6*f^3*512i + 768*a^6*c^3*d^5*f^3 - a^6*c^4*d^4*f^3*128i + 256*a^6*c^5*d^3*f^3 + 8*(-(17*c^3*d^8 - d^11*3i - c^2*d^9*27i - 3*c*d^10 - c^4*d^7*28i + 24*c^5*d^6 - c^6*d^5*8i + 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^4*c^2*d^3*f^2*1024i - 512*a^4*c*d^4*f^2 + 512*a^4*c^3*d^2*f^2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2*f^2 - a^4*c^2*f^2 + a^4*c*d*f^2*2i)*(c*d^5*4i + 5*d^6 + 8*c^2*d^4 + c^3*d^3*8i + 8*c^4*d^2)) + 3*a^2*c^2*d^7*f + a^2*c^3*d^6*f*13i - 6*a^2*c^4*d^5*f + a^2*c^5*d^4*f*6i - 4*a^2*c^6*d^3*f + a^2*c*d^8*f*3i)*(-(17*c^3*d^8 - d^11*3i - c^2*d^9*27i - 3*c*d^10 - c^4*d^7*28i + 24*c^5*d^6 - c^6*d^5*8i + 8*c^7*d^4 + a^4*c^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + a^4*d^4*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2) + 2*a^4*c^2*d^2*f^2*((151*c^2*d^20 - 25*d^22 - c*d^21*110i - c^3*d^19*4i + 185*c^4*d^18 + c^5*d^17*130i + 25*c^6*d^16 + c^7*d^15*56i - 16*c^8*d^14)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4))^(1/2))/(512*a^4*d^10*f^2 + 1536*a^4*c^2*d^8*f^2 + 1536*a^4*c^4*d^6*f^2 + 512*a^4*c^6*d^4*f^2))^(1/2)","B"
1106,1,35270,280,10.253481,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^3,x)","\ln\left(58\,a^3\,c^2\,d^{11}\,f-\left(\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}-16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(7168\,a^9\,c\,d^{11}\,f^3+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}-16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(2048\,a^6\,c^5\,d^2\,f^2+a^6\,c^4\,d^3\,f^2\,8192{}\mathrm{i}-12288\,a^6\,c^3\,d^4\,f^2-a^6\,c^2\,d^5\,f^2\,8192{}\mathrm{i}+2048\,a^6\,c\,d^6\,f^2\right)\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)+19456\,a^9\,c^3\,d^9\,f^3+19456\,a^9\,c^5\,d^7\,f^3+9216\,a^9\,c^7\,d^5\,f^3+2048\,a^9\,c^9\,d^3\,f^3-a^9\,d^{12}\,f^3\,4096{}\mathrm{i}-a^9\,c^2\,d^{10}\,f^3\,9216{}\mathrm{i}-a^9\,c^4\,d^8\,f^3\,7168{}\mathrm{i}-a^9\,c^6\,d^6\,f^3\,3072{}\mathrm{i}-a^9\,c^8\,d^4\,f^3\,1024{}\mathrm{i}\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)\,\left(8\,c^6\,d^2+c^5\,d^3\,24{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-19\,c^2\,d^6+c\,d^7\,4{}\mathrm{i}-8\,d^8\right)\right)\,\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}-16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}+a^3\,c^3\,d^{10}\,f\,82{}\mathrm{i}+12\,a^3\,c^4\,d^9\,f+a^3\,c^5\,d^8\,f\,108{}\mathrm{i}-38\,a^3\,c^6\,d^7\,f+a^3\,c^7\,d^6\,f\,58{}\mathrm{i}-32\,a^3\,c^8\,d^5\,f+a^3\,c^9\,d^4\,f\,12{}\mathrm{i}-8\,a^3\,c^{10}\,d^3\,f-a^3\,c\,d^{12}\,f\,12{}\mathrm{i}\right)\,\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}-16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(58\,a^3\,c^2\,d^{11}\,f-\left(\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}+16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(7168\,a^9\,c\,d^{11}\,f^3+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}+16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(2048\,a^6\,c^5\,d^2\,f^2+a^6\,c^4\,d^3\,f^2\,8192{}\mathrm{i}-12288\,a^6\,c^3\,d^4\,f^2-a^6\,c^2\,d^5\,f^2\,8192{}\mathrm{i}+2048\,a^6\,c\,d^6\,f^2\right)\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)+19456\,a^9\,c^3\,d^9\,f^3+19456\,a^9\,c^5\,d^7\,f^3+9216\,a^9\,c^7\,d^5\,f^3+2048\,a^9\,c^9\,d^3\,f^3-a^9\,d^{12}\,f^3\,4096{}\mathrm{i}-a^9\,c^2\,d^{10}\,f^3\,9216{}\mathrm{i}-a^9\,c^4\,d^8\,f^3\,7168{}\mathrm{i}-a^9\,c^6\,d^6\,f^3\,3072{}\mathrm{i}-a^9\,c^8\,d^4\,f^3\,1024{}\mathrm{i}\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)\,\left(8\,c^6\,d^2+c^5\,d^3\,24{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-19\,c^2\,d^6+c\,d^7\,4{}\mathrm{i}-8\,d^8\right)\right)\,\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}+16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}+a^3\,c^3\,d^{10}\,f\,82{}\mathrm{i}+12\,a^3\,c^4\,d^9\,f+a^3\,c^5\,d^8\,f\,108{}\mathrm{i}-38\,a^3\,c^6\,d^7\,f+a^3\,c^7\,d^6\,f\,58{}\mathrm{i}-32\,a^3\,c^8\,d^5\,f+a^3\,c^9\,d^4\,f\,12{}\mathrm{i}-8\,a^3\,c^{10}\,d^3\,f-a^3\,c\,d^{12}\,f\,12{}\mathrm{i}\right)\,\sqrt{\frac{c\,d^{10}\,20{}\mathrm{i}+15\,c^2\,d^9+c^3\,d^8\,35{}\mathrm{i}+40\,c^4\,d^7+c^5\,d^6\,8{}\mathrm{i}+24\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^6\,c^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+a^6\,d^4\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-a^6\,c^2\,d^2\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,24{}\mathrm{i}+16\,a^6\,c\,d^3\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-16\,a^6\,c^3\,d\,f^2\,\sqrt{{\left(\frac{2\,c^{11}\,d^4+10\,c^9\,d^6+\frac{85\,c^7\,d^8}{4}+\frac{41\,c^5\,d^{10}}{2}+\frac{25\,c^3\,d^{12}}{4}-5\,c\,d^{14}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}-\frac{\left(2\,c^{10}\,d^5+10\,c^8\,d^7+\frac{93\,c^6\,d^9}{4}+\frac{55\,c^4\,d^{11}}{2}+\frac{65\,c^2\,d^{13}}{4}\right)\,1{}\mathrm{i}}{a^6\,c^8\,f^2+4\,a^6\,c^6\,d^2\,f^2+6\,a^6\,c^4\,d^4\,f^2+4\,a^6\,c^2\,d^6\,f^2+a^6\,d^8\,f^2}\right)}^2+4\,\left(-\frac{\frac{c^{12}\,d^4}{256}+\frac{c^{10}\,d^6}{64}+\frac{25\,c^8\,d^8}{1024}-\frac{11\,c^6\,d^{10}}{1024}-\frac{65\,c^4\,d^{12}}{1024}-\frac{69\,c^2\,d^{14}}{1024}+\frac{d^{16}}{256}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}+\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{49\,c^7\,d^9}{512}+\frac{7\,c^5\,d^{11}}{64}+\frac{25\,c^3\,d^{13}}{512}-\frac{7\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^8\,f^4+4\,a^{12}\,c^6\,d^2\,f^4+6\,a^{12}\,c^4\,d^4\,f^4+4\,a^{12}\,c^2\,d^6\,f^4+a^{12}\,d^8\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^4\,f^2\,1{}\mathrm{i}-4\,a^6\,c^3\,d\,f^2-a^6\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^6\,c\,d^3\,f^2+a^6\,d^4\,f^2\,1{}\mathrm{i}\right)}}-\ln\left(\left(\sqrt{\frac{20\,c\,d^{14}+c^2\,d^{13}\,65{}\mathrm{i}-25\,c^3\,d^{12}+c^4\,d^{11}\,110{}\mathrm{i}-82\,c^5\,d^{10}+c^6\,d^9\,93{}\mathrm{i}-85\,c^7\,d^8+c^8\,d^7\,40{}\mathrm{i}-40\,c^9\,d^6+c^{10}\,d^5\,8{}\mathrm{i}-8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}\,\left(a^9\,d^{12}\,f^3\,4096{}\mathrm{i}-7168\,a^9\,c\,d^{11}\,f^3+a^9\,c^2\,d^{10}\,f^3\,9216{}\mathrm{i}-19456\,a^9\,c^3\,d^9\,f^3+a^9\,c^4\,d^8\,f^3\,7168{}\mathrm{i}-19456\,a^9\,c^5\,d^7\,f^3+a^9\,c^6\,d^6\,f^3\,3072{}\mathrm{i}-9216\,a^9\,c^7\,d^5\,f^3+a^9\,c^8\,d^4\,f^3\,1024{}\mathrm{i}-2048\,a^9\,c^9\,d^3\,f^3+32\,\sqrt{\frac{20\,c\,d^{14}+c^2\,d^{13}\,65{}\mathrm{i}-25\,c^3\,d^{12}+c^4\,d^{11}\,110{}\mathrm{i}-82\,c^5\,d^{10}+c^6\,d^9\,93{}\mathrm{i}-85\,c^7\,d^8+c^8\,d^7\,40{}\mathrm{i}-40\,c^9\,d^6+c^{10}\,d^5\,8{}\mathrm{i}-8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2048\,a^6\,c^5\,d^2\,f^2+a^6\,c^4\,d^3\,f^2\,8192{}\mathrm{i}-12288\,a^6\,c^3\,d^4\,f^2-a^6\,c^2\,d^5\,f^2\,8192{}\mathrm{i}+2048\,a^6\,c\,d^6\,f^2\right)\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)\,\left(8\,c^6\,d^2+c^5\,d^3\,24{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-19\,c^2\,d^6+c\,d^7\,4{}\mathrm{i}-8\,d^8\right)\right)\,\sqrt{\frac{20\,c\,d^{14}+c^2\,d^{13}\,65{}\mathrm{i}-25\,c^3\,d^{12}+c^4\,d^{11}\,110{}\mathrm{i}-82\,c^5\,d^{10}+c^6\,d^9\,93{}\mathrm{i}-85\,c^7\,d^8+c^8\,d^7\,40{}\mathrm{i}-40\,c^9\,d^6+c^{10}\,d^5\,8{}\mathrm{i}-8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}+58\,a^3\,c^2\,d^{11}\,f+a^3\,c^3\,d^{10}\,f\,82{}\mathrm{i}+12\,a^3\,c^4\,d^9\,f+a^3\,c^5\,d^8\,f\,108{}\mathrm{i}-38\,a^3\,c^6\,d^7\,f+a^3\,c^7\,d^6\,f\,58{}\mathrm{i}-32\,a^3\,c^8\,d^5\,f+a^3\,c^9\,d^4\,f\,12{}\mathrm{i}-8\,a^3\,c^{10}\,d^3\,f-a^3\,c\,d^{12}\,f\,12{}\mathrm{i}\right)\,\sqrt{\frac{20\,c\,d^{14}+c^2\,d^{13}\,65{}\mathrm{i}-25\,c^3\,d^{12}+c^4\,d^{11}\,110{}\mathrm{i}-82\,c^5\,d^{10}+c^6\,d^9\,93{}\mathrm{i}-85\,c^7\,d^8+c^8\,d^7\,40{}\mathrm{i}-40\,c^9\,d^6+c^{10}\,d^5\,8{}\mathrm{i}-8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}-\ln\left(\left(\sqrt{-\frac{25\,c^3\,d^{12}-c^2\,d^{13}\,65{}\mathrm{i}-20\,c\,d^{14}-c^4\,d^{11}\,110{}\mathrm{i}+82\,c^5\,d^{10}-c^6\,d^9\,93{}\mathrm{i}+85\,c^7\,d^8-c^8\,d^7\,40{}\mathrm{i}+40\,c^9\,d^6-c^{10}\,d^5\,8{}\mathrm{i}+8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}\,\left(a^9\,d^{12}\,f^3\,4096{}\mathrm{i}-7168\,a^9\,c\,d^{11}\,f^3+a^9\,c^2\,d^{10}\,f^3\,9216{}\mathrm{i}-19456\,a^9\,c^3\,d^9\,f^3+a^9\,c^4\,d^8\,f^3\,7168{}\mathrm{i}-19456\,a^9\,c^5\,d^7\,f^3+a^9\,c^6\,d^6\,f^3\,3072{}\mathrm{i}-9216\,a^9\,c^7\,d^5\,f^3+a^9\,c^8\,d^4\,f^3\,1024{}\mathrm{i}-2048\,a^9\,c^9\,d^3\,f^3+32\,\sqrt{-\frac{25\,c^3\,d^{12}-c^2\,d^{13}\,65{}\mathrm{i}-20\,c\,d^{14}-c^4\,d^{11}\,110{}\mathrm{i}+82\,c^5\,d^{10}-c^6\,d^9\,93{}\mathrm{i}+85\,c^7\,d^8-c^8\,d^7\,40{}\mathrm{i}+40\,c^9\,d^6-c^{10}\,d^5\,8{}\mathrm{i}+8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2048\,a^6\,c^5\,d^2\,f^2+a^6\,c^4\,d^3\,f^2\,8192{}\mathrm{i}-12288\,a^6\,c^3\,d^4\,f^2-a^6\,c^2\,d^5\,f^2\,8192{}\mathrm{i}+2048\,a^6\,c\,d^6\,f^2\right)\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,f^2-a^6\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^6\,c^2\,d^2\,f^2+a^6\,c\,d^3\,f^2\,4{}\mathrm{i}+a^6\,d^4\,f^2\right)\,\left(8\,c^6\,d^2+c^5\,d^3\,24{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-19\,c^2\,d^6+c\,d^7\,4{}\mathrm{i}-8\,d^8\right)\right)\,\sqrt{-\frac{25\,c^3\,d^{12}-c^2\,d^{13}\,65{}\mathrm{i}-20\,c\,d^{14}-c^4\,d^{11}\,110{}\mathrm{i}+82\,c^5\,d^{10}-c^6\,d^9\,93{}\mathrm{i}+85\,c^7\,d^8-c^8\,d^7\,40{}\mathrm{i}+40\,c^9\,d^6-c^{10}\,d^5\,8{}\mathrm{i}+8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}+58\,a^3\,c^2\,d^{11}\,f+a^3\,c^3\,d^{10}\,f\,82{}\mathrm{i}+12\,a^3\,c^4\,d^9\,f+a^3\,c^5\,d^8\,f\,108{}\mathrm{i}-38\,a^3\,c^6\,d^7\,f+a^3\,c^7\,d^6\,f\,58{}\mathrm{i}-32\,a^3\,c^8\,d^5\,f+a^3\,c^9\,d^4\,f\,12{}\mathrm{i}-8\,a^3\,c^{10}\,d^3\,f-a^3\,c\,d^{12}\,f\,12{}\mathrm{i}\right)\,\sqrt{-\frac{25\,c^3\,d^{12}-c^2\,d^{13}\,65{}\mathrm{i}-20\,c\,d^{14}-c^4\,d^{11}\,110{}\mathrm{i}+82\,c^5\,d^{10}-c^6\,d^9\,93{}\mathrm{i}+85\,c^7\,d^8-c^8\,d^7\,40{}\mathrm{i}+40\,c^9\,d^6-c^{10}\,d^5\,8{}\mathrm{i}+8\,c^{11}\,d^4+4\,a^6\,c^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+4\,a^6\,d^8\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^2\,d^6\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+24\,a^6\,c^4\,d^4\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}+16\,a^6\,c^6\,d^2\,f^2\,\sqrt{-\frac{-25\,c^{14}\,d^{16}+c^{13}\,d^{17}\,130{}\mathrm{i}+149\,c^{12}\,d^{18}+c^{11}\,d^{19}\,352{}\mathrm{i}+926\,c^{10}\,d^{20}-c^9\,d^{21}\,20{}\mathrm{i}+1890\,c^8\,d^{22}-c^7\,d^{23}\,1608{}\mathrm{i}+1179\,c^6\,d^{24}-c^5\,d^{25}\,2462{}\mathrm{i}-695\,c^4\,d^{26}-c^3\,d^{27}\,1160{}\mathrm{i}-1184\,c^2\,d^{28}+c\,d^{29}\,448{}\mathrm{i}+64\,d^{30}}{16\,a^{12}\,c^{16}\,f^4+128\,a^{12}\,c^{14}\,d^2\,f^4+448\,a^{12}\,c^{12}\,d^4\,f^4+896\,a^{12}\,c^{10}\,d^6\,f^4+1120\,a^{12}\,c^8\,d^8\,f^4+896\,a^{12}\,c^6\,d^{10}\,f^4+448\,a^{12}\,c^4\,d^{12}\,f^4+128\,a^{12}\,c^2\,d^{14}\,f^4+16\,a^{12}\,d^{16}\,f^4}}}{2048\,a^6\,c^{10}\,d^4\,f^2+10240\,a^6\,c^8\,d^6\,f^2+20480\,a^6\,c^6\,d^8\,f^2+20480\,a^6\,c^4\,d^{10}\,f^2+10240\,a^6\,c^2\,d^{12}\,f^2+2048\,a^6\,d^{14}\,f^2}}+\frac{\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-c^2\,d\,10{}\mathrm{i}+25\,c\,d^2+d^3\,20{}\mathrm{i}\right)\,1{}\mathrm{i}}{80\,a^3\,f}+\frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(-c^2\,d\,12{}\mathrm{i}+24\,c\,d^2+d^3\,4{}\mathrm{i}\right)}{48\,a^3\,f\,\left(-d+c\,1{}\mathrm{i}\right)}-\frac{d\,\left(2\,c^2+3{}\mathrm{i}\,d\,c\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,1{}\mathrm{i}}{16\,a^3\,f\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}}{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(3\,c^2+c\,d\,6{}\mathrm{i}-3\,d^2\right)+{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3+3\,c\,d^2-c^2\,d\,3{}\mathrm{i}-\left(3\,c+d\,3{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-c^3+d^3\,1{}\mathrm{i}}","Not used",1,"log(58*a^3*c^2*d^11*f - (((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i - a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i - 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2)*(7168*a^9*c*d^11*f^3 - a^9*d^12*f^3*4096i + 32*(c + d*tan(e + f*x))^(1/2)*((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i - a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i - 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2)*(2048*a^6*c*d^6*f^2 - a^6*c^2*d^5*f^2*8192i - 12288*a^6*c^3*d^4*f^2 + a^6*c^4*d^3*f^2*8192i + 2048*a^6*c^5*d^2*f^2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2) - a^9*c^2*d^10*f^3*9216i + 19456*a^9*c^3*d^9*f^3 - a^9*c^4*d^8*f^3*7168i + 19456*a^9*c^5*d^7*f^3 - a^9*c^6*d^6*f^3*3072i + 9216*a^9*c^7*d^5*f^3 - a^9*c^8*d^4*f^3*1024i + 2048*a^9*c^9*d^3*f^3) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2)*(c*d^7*4i - 8*d^8 - 19*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*24i + 8*c^6*d^2))*((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i - a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i - 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2) + a^3*c^3*d^10*f*82i + 12*a^3*c^4*d^9*f + a^3*c^5*d^8*f*108i - 38*a^3*c^6*d^7*f + a^3*c^7*d^6*f*58i - 32*a^3*c^8*d^5*f + a^3*c^9*d^4*f*12i - 8*a^3*c^10*d^3*f - a^3*c*d^12*f*12i)*((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i - a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i - 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2) + log(58*a^3*c^2*d^11*f - (((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i + a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i + 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2)*(7168*a^9*c*d^11*f^3 - a^9*d^12*f^3*4096i + 32*(c + d*tan(e + f*x))^(1/2)*((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i + a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i + 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2)*(2048*a^6*c*d^6*f^2 - a^6*c^2*d^5*f^2*8192i - 12288*a^6*c^3*d^4*f^2 + a^6*c^4*d^3*f^2*8192i + 2048*a^6*c^5*d^2*f^2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2) - a^9*c^2*d^10*f^3*9216i + 19456*a^9*c^3*d^9*f^3 - a^9*c^4*d^8*f^3*7168i + 19456*a^9*c^5*d^7*f^3 - a^9*c^6*d^6*f^3*3072i + 9216*a^9*c^7*d^5*f^3 - a^9*c^8*d^4*f^3*1024i + 2048*a^9*c^9*d^3*f^3) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2)*(c*d^7*4i - 8*d^8 - 19*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*24i + 8*c^6*d^2))*((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i + a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i + 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2) + a^3*c^3*d^10*f*82i + 12*a^3*c^4*d^9*f + a^3*c^5*d^8*f*108i - 38*a^3*c^6*d^7*f + a^3*c^7*d^6*f*58i - 32*a^3*c^8*d^5*f + a^3*c^9*d^4*f*12i - 8*a^3*c^10*d^3*f - a^3*c*d^12*f*12i)*((c*d^10*20i + 15*c^2*d^9 + c^3*d^8*35i + 40*c^4*d^7 + c^5*d^6*8i + 24*c^6*d^5 - c^7*d^4*8i + a^6*c^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + a^6*d^4*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - a^6*c^2*d^2*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*24i + 16*a^6*c*d^3*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 16*a^6*c^3*d*f^2*((((25*c^3*d^12)/4 - 5*c*d^14 + (41*c^5*d^10)/2 + (85*c^7*d^8)/4 + 10*c^9*d^6 + 2*c^11*d^4)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2) - (((65*c^2*d^13)/4 + (55*c^4*d^11)/2 + (93*c^6*d^9)/4 + 10*c^8*d^7 + 2*c^10*d^5)*1i)/(a^6*c^8*f^2 + a^6*d^8*f^2 + 4*a^6*c^2*d^6*f^2 + 6*a^6*c^4*d^4*f^2 + 4*a^6*c^6*d^2*f^2))^2 + 4*((((25*c^3*d^13)/512 - (7*c*d^15)/256 + (7*c^5*d^11)/64 + (49*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4) - (d^16/256 - (69*c^2*d^14)/1024 - (65*c^4*d^12)/1024 - (11*c^6*d^10)/1024 + (25*c^8*d^8)/1024 + (c^10*d^6)/64 + (c^12*d^4)/256)/(a^12*c^8*f^4 + a^12*d^8*f^4 + 4*a^12*c^2*d^6*f^4 + 6*a^12*c^4*d^4*f^4 + 4*a^12*c^6*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*c^4*f^2*1i + a^6*d^4*f^2*1i + 4*a^6*c*d^3*f^2 - 4*a^6*c^3*d*f^2 - a^6*c^2*d^2*f^2*6i)))^(1/2) - log((((20*c*d^14 + c^2*d^13*65i - 25*c^3*d^12 + c^4*d^11*110i - 82*c^5*d^10 + c^6*d^9*93i - 85*c^7*d^8 + c^8*d^7*40i - 40*c^9*d^6 + c^10*d^5*8i - 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2)*(a^9*d^12*f^3*4096i - 7168*a^9*c*d^11*f^3 + a^9*c^2*d^10*f^3*9216i - 19456*a^9*c^3*d^9*f^3 + a^9*c^4*d^8*f^3*7168i - 19456*a^9*c^5*d^7*f^3 + a^9*c^6*d^6*f^3*3072i - 9216*a^9*c^7*d^5*f^3 + a^9*c^8*d^4*f^3*1024i - 2048*a^9*c^9*d^3*f^3 + 32*((20*c*d^14 + c^2*d^13*65i - 25*c^3*d^12 + c^4*d^11*110i - 82*c^5*d^10 + c^6*d^9*93i - 85*c^7*d^8 + c^8*d^7*40i - 40*c^9*d^6 + c^10*d^5*8i - 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(2048*a^6*c*d^6*f^2 - a^6*c^2*d^5*f^2*8192i - 12288*a^6*c^3*d^4*f^2 + a^6*c^4*d^3*f^2*8192i + 2048*a^6*c^5*d^2*f^2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2)) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2)*(c*d^7*4i - 8*d^8 - 19*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*24i + 8*c^6*d^2))*((20*c*d^14 + c^2*d^13*65i - 25*c^3*d^12 + c^4*d^11*110i - 82*c^5*d^10 + c^6*d^9*93i - 85*c^7*d^8 + c^8*d^7*40i - 40*c^9*d^6 + c^10*d^5*8i - 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2) + 58*a^3*c^2*d^11*f + a^3*c^3*d^10*f*82i + 12*a^3*c^4*d^9*f + a^3*c^5*d^8*f*108i - 38*a^3*c^6*d^7*f + a^3*c^7*d^6*f*58i - 32*a^3*c^8*d^5*f + a^3*c^9*d^4*f*12i - 8*a^3*c^10*d^3*f - a^3*c*d^12*f*12i)*((20*c*d^14 + c^2*d^13*65i - 25*c^3*d^12 + c^4*d^11*110i - 82*c^5*d^10 + c^6*d^9*93i - 85*c^7*d^8 + c^8*d^7*40i - 40*c^9*d^6 + c^10*d^5*8i - 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2) - log(((-(25*c^3*d^12 - c^2*d^13*65i - 20*c*d^14 - c^4*d^11*110i + 82*c^5*d^10 - c^6*d^9*93i + 85*c^7*d^8 - c^8*d^7*40i + 40*c^9*d^6 - c^10*d^5*8i + 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2)*(a^9*d^12*f^3*4096i - 7168*a^9*c*d^11*f^3 + a^9*c^2*d^10*f^3*9216i - 19456*a^9*c^3*d^9*f^3 + a^9*c^4*d^8*f^3*7168i - 19456*a^9*c^5*d^7*f^3 + a^9*c^6*d^6*f^3*3072i - 9216*a^9*c^7*d^5*f^3 + a^9*c^8*d^4*f^3*1024i - 2048*a^9*c^9*d^3*f^3 + 32*(-(25*c^3*d^12 - c^2*d^13*65i - 20*c*d^14 - c^4*d^11*110i + 82*c^5*d^10 - c^6*d^9*93i + 85*c^7*d^8 - c^8*d^7*40i + 40*c^9*d^6 - c^10*d^5*8i + 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(2048*a^6*c*d^6*f^2 - a^6*c^2*d^5*f^2*8192i - 12288*a^6*c^3*d^4*f^2 + a^6*c^4*d^3*f^2*8192i + 2048*a^6*c^5*d^2*f^2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2)) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*c^4*f^2 + a^6*d^4*f^2 + a^6*c*d^3*f^2*4i - a^6*c^3*d*f^2*4i - 6*a^6*c^2*d^2*f^2)*(c*d^7*4i - 8*d^8 - 19*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*24i + 8*c^6*d^2))*(-(25*c^3*d^12 - c^2*d^13*65i - 20*c*d^14 - c^4*d^11*110i + 82*c^5*d^10 - c^6*d^9*93i + 85*c^7*d^8 - c^8*d^7*40i + 40*c^9*d^6 - c^10*d^5*8i + 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2) + 58*a^3*c^2*d^11*f + a^3*c^3*d^10*f*82i + 12*a^3*c^4*d^9*f + a^3*c^5*d^8*f*108i - 38*a^3*c^6*d^7*f + a^3*c^7*d^6*f*58i - 32*a^3*c^8*d^5*f + a^3*c^9*d^4*f*12i - 8*a^3*c^10*d^3*f - a^3*c*d^12*f*12i)*(-(25*c^3*d^12 - c^2*d^13*65i - 20*c*d^14 - c^4*d^11*110i + 82*c^5*d^10 - c^6*d^9*93i + 85*c^7*d^8 - c^8*d^7*40i + 40*c^9*d^6 - c^10*d^5*8i + 8*c^11*d^4 + 4*a^6*c^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 4*a^6*d^8*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^2*d^6*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 24*a^6*c^4*d^4*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2) + 16*a^6*c^6*d^2*f^2*(-(c*d^29*448i + 64*d^30 - 1184*c^2*d^28 - c^3*d^27*1160i - 695*c^4*d^26 - c^5*d^25*2462i + 1179*c^6*d^24 - c^7*d^23*1608i + 1890*c^8*d^22 - c^9*d^21*20i + 926*c^10*d^20 + c^11*d^19*352i + 149*c^12*d^18 + c^13*d^17*130i - 25*c^14*d^16)/(16*a^12*c^16*f^4 + 16*a^12*d^16*f^4 + 128*a^12*c^2*d^14*f^4 + 448*a^12*c^4*d^12*f^4 + 896*a^12*c^6*d^10*f^4 + 1120*a^12*c^8*d^8*f^4 + 896*a^12*c^10*d^6*f^4 + 448*a^12*c^12*d^4*f^4 + 128*a^12*c^14*d^2*f^4))^(1/2))/(2048*a^6*d^14*f^2 + 10240*a^6*c^2*d^12*f^2 + 20480*a^6*c^4*d^10*f^2 + 20480*a^6*c^6*d^8*f^2 + 10240*a^6*c^8*d^6*f^2 + 2048*a^6*c^10*d^4*f^2))^(1/2) + (((c + d*tan(e + f*x))^(1/2)*(25*c*d^2 - c^2*d*10i + d^3*20i)*1i)/(80*a^3*f) + ((c + d*tan(e + f*x))^(3/2)*(24*c*d^2 - c^2*d*12i + d^3*4i))/(48*a^3*f*(c*1i - d)) - (d*(c*d*3i + 2*c^2)*(c + d*tan(e + f*x))^(5/2)*1i)/(16*a^3*f*(2*c*d - c^2*1i + d^2*1i)))/((c + d*tan(e + f*x))*(c*d*6i + 3*c^2 - 3*d^2) + (c + d*tan(e + f*x))^3 + 3*c*d^2 - c^2*d*3i - (3*c + d*3i)*(c + d*tan(e + f*x))^2 - c^3 + d^3*1i)","B"
1107,1,309,181,13.955615,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^(3/2),x)","-\left(\frac{\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d^2\,f}\right)}{3}+\frac{a^3\,{\left(c+d\,1{}\mathrm{i}\right)}^2\,2{}\mathrm{i}}{3\,d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{5\,d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{5\,d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}-\left(c-d\,1{}\mathrm{i}\right)\,\left(\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d^2\,f}\right)+\frac{a^3\,{\left(c+d\,1{}\mathrm{i}\right)}^2\,2{}\mathrm{i}}{d^2\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\frac{a^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}\,2{}\mathrm{i}}{7\,d^2\,f}+\frac{\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,{\left(-d-c\,1{}\mathrm{i}\right)}^{3/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{4\,\left(c^2\,1{}\mathrm{i}+2\,c\,d-d^2\,1{}\mathrm{i}\right)}\right)\,{\left(-d-c\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{f}","Not used",1,"(16i^(1/2)*a^3*atan((16i^(1/2)*(- c*1i - d)^(3/2)*(c + d*tan(e + f*x))^(1/2)*1i)/(4*(2*c*d + c^2*1i - d^2*1i)))*(- c*1i - d)^(3/2)*2i)/f - ((a^3*(c - d*1i)*2i)/(5*d^2*f) - (a^3*(c + d*1i)*4i)/(5*d^2*f))*(c + d*tan(e + f*x))^(5/2) - (c - d*1i)*((c - d*1i)*((a^3*(c - d*1i)*2i)/(d^2*f) - (a^3*(c + d*1i)*4i)/(d^2*f)) + (a^3*(c + d*1i)^2*2i)/(d^2*f))*(c + d*tan(e + f*x))^(1/2) - (a^3*(c + d*tan(e + f*x))^(7/2)*2i)/(7*d^2*f) - (((c - d*1i)*((a^3*(c - d*1i)*2i)/(d^2*f) - (a^3*(c + d*1i)*4i)/(d^2*f)))/3 + (a^3*(c + d*1i)^2*2i)/(3*d^2*f))*(c + d*tan(e + f*x))^(3/2)","B"
1108,1,196,131,10.316247,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^(3/2),x)","-\left(\frac{2\,a^2\,\left(c-d\,1{}\mathrm{i}\right)}{3\,d\,f}-\frac{2\,a^2\,\left(c+d\,1{}\mathrm{i}\right)}{3\,d\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{2\,a^2\,\left(c-d\,1{}\mathrm{i}\right)}{d\,f}-\frac{2\,a^2\,\left(c+d\,1{}\mathrm{i}\right)}{d\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\frac{2\,a^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d\,f}+\frac{\sqrt{4{}\mathrm{i}}\,a^2\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,{\left(-d-c\,1{}\mathrm{i}\right)}^{3/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{2\,\left(c^2\,1{}\mathrm{i}+2\,c\,d-d^2\,1{}\mathrm{i}\right)}\right)\,{\left(-d-c\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{f}","Not used",1,"(4i^(1/2)*a^2*atan((4i^(1/2)*(- c*1i - d)^(3/2)*(c + d*tan(e + f*x))^(1/2)*1i)/(2*(2*c*d + c^2*1i - d^2*1i)))*(- c*1i - d)^(3/2)*2i)/f - (c - d*1i)*((2*a^2*(c - d*1i))/(d*f) - (2*a^2*(c + d*1i))/(d*f))*(c + d*tan(e + f*x))^(1/2) - (2*a^2*(c + d*tan(e + f*x))^(5/2))/(5*d*f) - ((2*a^2*(c - d*1i))/(3*d*f) - (2*a^2*(c + d*1i))/(3*d*f))*(c + d*tan(e + f*x))^(3/2)","B"
1109,1,2869,98,16.322281,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^(3/2),x)","\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d-c\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}}{4\,f^4}-\frac{a^2\,c^3}{4\,f^2}+\frac{3\,a^2\,c\,d^2}{4\,f^2}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+a\,c^2\,1{}\mathrm{i}+a\,d^2\,1{}\mathrm{i}\right)}{f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{a^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^2\,8{}\mathrm{i}}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{4\,f^4}}+\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(-f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+a\,c^2\,1{}\mathrm{i}+a\,d^2\,1{}\mathrm{i}\right)}{f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{a^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^2\,8{}\mathrm{i}}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}}{4\,f^4}-\frac{a^2\,c^3}{4\,f^2}+\frac{3\,a^2\,c\,d^2}{4\,f^2}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(-f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+a\,c^2\,1{}\mathrm{i}+a\,d^2\,1{}\mathrm{i}\right)}{f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{a^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^2\,8{}\mathrm{i}}{f^3}\right)\,\sqrt{\frac{3\,a^2\,c\,d^2}{4\,f^2}-\frac{a^2\,c^3}{4\,f^2}-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}}{4\,f^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d+c\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d+c\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+a\,c^2\,1{}\mathrm{i}+a\,d^2\,1{}\mathrm{i}\right)}{f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{a^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^2\,8{}\mathrm{i}}{f^3}\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{4\,f^4}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d-c\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{3\,a^2\,c\,d^2}{4\,f^2}-\frac{a^2\,c^3}{4\,f^2}-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}}{4\,f^4}}+\frac{2\,a\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{a\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}{3\,f}+\frac{a\,c\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{f}","Not used",1,"log(((((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*c^2*1i + a*d^2*1i - f*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (a^3*d^2*(c^2 - d^2)*(c^2*1i + d^2*1i)^2*8i)/f^3)*((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c^3)/(4*f^2) + (3*a^2*c*d^2)/(4*f^2))^(1/2) - log(((((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*c^2*1i + a*d^2*1i + f*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (a^3*d^2*(c^2 - d^2)*(c^2*1i + d^2*1i)^2*8i)/f^3)*(((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/(4*f^4))^(1/2) - log(((-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*c^2*1i + a*d^2*1i + f*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (a^3*d^2*(c^2 - d^2)*(c^2*1i + d^2*1i)^2*8i)/f^3)*(-((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/(4*f^4))^(1/2) + log(((-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*c^2*1i + a*d^2*1i - f*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (a^3*d^2*(c^2 - d^2)*(c^2*1i + d^2*1i)^2*8i)/f^3)*((3*a^2*c*d^2)/(4*f^2) - (a^2*c^3)/(4*f^2) - (6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2)/(4*f^4))^(1/2) - log(((-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d + c*f*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*(-((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/(4*f^4))^(1/2) - log(((((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d + c*f*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*(((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/(4*f^4))^(1/2) + log(((((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d - c*f*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c^3)/(4*f^2) + (3*a^2*c*d^2)/(4*f^2))^(1/2) + log(((-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d - c*f*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*((3*a^2*c*d^2)/(4*f^2) - (a^2*c^3)/(4*f^2) - (6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2)/(4*f^4))^(1/2) + (a*(c + d*tan(e + f*x))^(3/2)*2i)/(3*f) + (a*c*(c + d*tan(e + f*x))^(1/2)*2i)/f + (2*a*d*(c + d*tan(e + f*x))^(1/2))/f","B"
1110,1,847,153,7.342359,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i),x)","-2\,\mathrm{atanh}\left(\frac{20\,a^2\,d^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^3}{16\,a^2\,f^2}+\frac{d^3\,1{}\mathrm{i}}{4\,a^2\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{16\,a^2\,f^2}}}{3{}\mathrm{i}\,a\,f\,c^4\,d^4+11\,a\,f\,c^3\,d^5-7{}\mathrm{i}\,a\,f\,c^2\,d^6+11\,a\,f\,c\,d^7-10{}\mathrm{i}\,a\,f\,d^8}+\frac{a^2\,c\,d^5\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^3}{16\,a^2\,f^2}+\frac{d^3\,1{}\mathrm{i}}{4\,a^2\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{16\,a^2\,f^2}}\,32{}\mathrm{i}}{3{}\mathrm{i}\,a\,f\,c^4\,d^4+11\,a\,f\,c^3\,d^5-7{}\mathrm{i}\,a\,f\,c^2\,d^6+11\,a\,f\,c\,d^7-10{}\mathrm{i}\,a\,f\,d^8}-\frac{12\,a^2\,c^2\,d^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^3}{16\,a^2\,f^2}+\frac{d^3\,1{}\mathrm{i}}{4\,a^2\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{16\,a^2\,f^2}}}{3{}\mathrm{i}\,a\,f\,c^4\,d^4+11\,a\,f\,c^3\,d^5-7{}\mathrm{i}\,a\,f\,c^2\,d^6+11\,a\,f\,c\,d^7-10{}\mathrm{i}\,a\,f\,d^8}\right)\,\sqrt{\frac{-2\,c^3+c^2\,d\,6{}\mathrm{i}+d^3\,8{}\mathrm{i}}{32\,a^2\,f^2}}-2\,\mathrm{atanh}\left(\frac{20\,a^2\,d^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{3\,c\,d^2}{16\,a^2\,f^2}-\frac{d^3\,1{}\mathrm{i}}{16\,a^2\,f^2}-\frac{c^3}{16\,a^2\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{16\,a^2\,f^2}}}{3{}\mathrm{i}\,a\,f\,c^4\,d^4+8\,a\,f\,c^3\,d^5-2{}\mathrm{i}\,a\,f\,c^2\,d^6+8\,a\,f\,c\,d^7-5{}\mathrm{i}\,a\,f\,d^8}-\frac{a^2\,c\,d^5\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{3\,c\,d^2}{16\,a^2\,f^2}-\frac{d^3\,1{}\mathrm{i}}{16\,a^2\,f^2}-\frac{c^3}{16\,a^2\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{16\,a^2\,f^2}}\,8{}\mathrm{i}}{3{}\mathrm{i}\,a\,f\,c^4\,d^4+8\,a\,f\,c^3\,d^5-2{}\mathrm{i}\,a\,f\,c^2\,d^6+8\,a\,f\,c\,d^7-5{}\mathrm{i}\,a\,f\,d^8}+\frac{12\,a^2\,c^2\,d^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{3\,c\,d^2}{16\,a^2\,f^2}-\frac{d^3\,1{}\mathrm{i}}{16\,a^2\,f^2}-\frac{c^3}{16\,a^2\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{16\,a^2\,f^2}}}{3{}\mathrm{i}\,a\,f\,c^4\,d^4+8\,a\,f\,c^3\,d^5-2{}\mathrm{i}\,a\,f\,c^2\,d^6+8\,a\,f\,c\,d^7-5{}\mathrm{i}\,a\,f\,d^8}\right)\,\sqrt{\frac{-2\,c^3+c^2\,d\,6{}\mathrm{i}+6\,c\,d^2-d^3\,2{}\mathrm{i}}{32\,a^2\,f^2}}-\frac{\left(d^2\,1{}\mathrm{i}+c\,d\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)}","Not used",1,"- 2*atanh((20*a^2*d^6*f^2*(c + d*tan(e + f*x))^(1/2)*((d^3*1i)/(4*a^2*f^2) - c^3/(16*a^2*f^2) + (c^2*d*3i)/(16*a^2*f^2))^(1/2))/(11*a*c*d^7*f - a*d^8*f*10i - a*c^2*d^6*f*7i + 11*a*c^3*d^5*f + a*c^4*d^4*f*3i) + (a^2*c*d^5*f^2*(c + d*tan(e + f*x))^(1/2)*((d^3*1i)/(4*a^2*f^2) - c^3/(16*a^2*f^2) + (c^2*d*3i)/(16*a^2*f^2))^(1/2)*32i)/(11*a*c*d^7*f - a*d^8*f*10i - a*c^2*d^6*f*7i + 11*a*c^3*d^5*f + a*c^4*d^4*f*3i) - (12*a^2*c^2*d^4*f^2*(c + d*tan(e + f*x))^(1/2)*((d^3*1i)/(4*a^2*f^2) - c^3/(16*a^2*f^2) + (c^2*d*3i)/(16*a^2*f^2))^(1/2))/(11*a*c*d^7*f - a*d^8*f*10i - a*c^2*d^6*f*7i + 11*a*c^3*d^5*f + a*c^4*d^4*f*3i))*((c^2*d*6i - 2*c^3 + d^3*8i)/(32*a^2*f^2))^(1/2) - 2*atanh((20*a^2*d^6*f^2*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2)/(16*a^2*f^2) - (d^3*1i)/(16*a^2*f^2) - c^3/(16*a^2*f^2) + (c^2*d*3i)/(16*a^2*f^2))^(1/2))/(8*a*c*d^7*f - a*d^8*f*5i - a*c^2*d^6*f*2i + 8*a*c^3*d^5*f + a*c^4*d^4*f*3i) - (a^2*c*d^5*f^2*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2)/(16*a^2*f^2) - (d^3*1i)/(16*a^2*f^2) - c^3/(16*a^2*f^2) + (c^2*d*3i)/(16*a^2*f^2))^(1/2)*8i)/(8*a*c*d^7*f - a*d^8*f*5i - a*c^2*d^6*f*2i + 8*a*c^3*d^5*f + a*c^4*d^4*f*3i) + (12*a^2*c^2*d^4*f^2*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2)/(16*a^2*f^2) - (d^3*1i)/(16*a^2*f^2) - c^3/(16*a^2*f^2) + (c^2*d*3i)/(16*a^2*f^2))^(1/2))/(8*a*c*d^7*f - a*d^8*f*5i - a*c^2*d^6*f*2i + 8*a*c^3*d^5*f + a*c^4*d^4*f*3i))*((6*c*d^2 + c^2*d*6i - 2*c^3 - d^3*2i)/(32*a^2*f^2))^(1/2) - ((c*d + d^2*1i)*(c + d*tan(e + f*x))^(1/2))/(2*a*f*(d*1i - d*tan(e + f*x)))","B"
1111,1,1580,209,7.757171,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^2,x)","-\mathrm{atan}\left(\frac{a^4\,d^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{3\,c\,d^2}{64\,a^4\,f^2}-\frac{d^3\,1{}\mathrm{i}}{64\,a^4\,f^2}-\frac{c^3}{64\,a^4\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{64\,a^4\,f^2}}\,80{}\mathrm{i}}{8\,f\,a^2\,c^3\,d^5-26{}\mathrm{i}\,f\,a^2\,c^2\,d^6-28\,f\,a^2\,c\,d^7+10{}\mathrm{i}\,f\,a^2\,d^8}-\frac{64\,a^4\,c\,d^5\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{3\,c\,d^2}{64\,a^4\,f^2}-\frac{d^3\,1{}\mathrm{i}}{64\,a^4\,f^2}-\frac{c^3}{64\,a^4\,f^2}+\frac{c^2\,d\,3{}\mathrm{i}}{64\,a^4\,f^2}}}{8\,f\,a^2\,c^3\,d^5-26{}\mathrm{i}\,f\,a^2\,c^2\,d^6-28\,f\,a^2\,c\,d^7+10{}\mathrm{i}\,f\,a^2\,d^8}\right)\,\sqrt{\frac{-2\,c^3+c^2\,d\,6{}\mathrm{i}+6\,c\,d^2-d^3\,2{}\mathrm{i}}{128\,a^4\,f^2}}\,2{}\mathrm{i}-\frac{\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(6\,c^2\,d+c\,d^2\,3{}\mathrm{i}+3\,d^3\right)}{24\,a^2\,f}+\frac{d\,\left(3\,d+c\,2{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,1{}\mathrm{i}}{8\,a^2\,f}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-\left(2\,c+d\,2{}\mathrm{i}\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+c^2-d^2+c\,d\,2{}\mathrm{i}}-\mathrm{atan}\left(\frac{\left(\left(a^2\,f\,\left(-256\,a^4\,c^2\,d^3\,f^2+a^4\,c\,d^4\,f^2\,384{}\mathrm{i}+128\,a^4\,d^5\,f^2\right)-4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}-8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,c^4\,d^2-c^3\,d^3\,24{}\mathrm{i}-24\,c^2\,d^4+c\,d^5\,12{}\mathrm{i}+5\,d^6\right)\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(a^2\,f\,\left(-256\,a^4\,c^2\,d^3\,f^2+a^4\,c\,d^4\,f^2\,384{}\mathrm{i}+128\,a^4\,d^5\,f^2\right)+4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}+8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,c^4\,d^2-c^3\,d^3\,24{}\mathrm{i}-24\,c^2\,d^4+c\,d^5\,12{}\mathrm{i}+5\,d^6\right)\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(a^2\,f\,\left(-256\,a^4\,c^2\,d^3\,f^2+a^4\,c\,d^4\,f^2\,384{}\mathrm{i}+128\,a^4\,d^5\,f^2\right)-4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}-8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,c^4\,d^2-c^3\,d^3\,24{}\mathrm{i}-24\,c^2\,d^4+c\,d^5\,12{}\mathrm{i}+5\,d^6\right)\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}+\left(\left(a^2\,f\,\left(-256\,a^4\,c^2\,d^3\,f^2+a^4\,c\,d^4\,f^2\,384{}\mathrm{i}+128\,a^4\,d^5\,f^2\right)+4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}+8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,c^4\,d^2-c^3\,d^3\,24{}\mathrm{i}-24\,c^2\,d^4+c\,d^5\,12{}\mathrm{i}+5\,d^6\right)\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}+2\,a^2\,f\,\left(-4\,c^5\,d^3+c^4\,d^4\,18{}\mathrm{i}+28\,c^3\,d^5-c^2\,d^6\,15{}\mathrm{i}+2\,c\,d^7-d^8\,3{}\mathrm{i}\right)}\right)\,\sqrt{-\frac{c^4\,4{}\mathrm{i}+8\,c^3\,d+4\,c\,d^3+d^4\,1{}\mathrm{i}}{256\,a^4\,f^2\,\left(-d+c\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}","Not used",1,"- atan((a^4*d^6*f^2*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2)/(64*a^4*f^2) - (d^3*1i)/(64*a^4*f^2) - c^3/(64*a^4*f^2) + (c^2*d*3i)/(64*a^4*f^2))^(1/2)*80i)/(a^2*d^8*f*10i - a^2*c^2*d^6*f*26i + 8*a^2*c^3*d^5*f - 28*a^2*c*d^7*f) - (64*a^4*c*d^5*f^2*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2)/(64*a^4*f^2) - (d^3*1i)/(64*a^4*f^2) - c^3/(64*a^4*f^2) + (c^2*d*3i)/(64*a^4*f^2))^(1/2))/(a^2*d^8*f*10i - a^2*c^2*d^6*f*26i + 8*a^2*c^3*d^5*f - 28*a^2*c*d^7*f))*((6*c*d^2 + c^2*d*6i - 2*c^3 - d^3*2i)/(128*a^4*f^2))^(1/2)*2i - (((c + d*tan(e + f*x))^(1/2)*(c*d^2*3i + 6*c^2*d + 3*d^3))/(24*a^2*f) + (d*(c*2i + 3*d)*(c + d*tan(e + f*x))^(3/2)*1i)/(8*a^2*f))/(c*d*2i - (2*c + d*2i)*(c + d*tan(e + f*x)) + (c + d*tan(e + f*x))^2 + c^2 - d^2) - atan((((a^2*f*(128*a^4*d^5*f^2 + a^4*c*d^4*f^2*384i - 256*a^4*c^2*d^3*f^2) - 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2) - 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^5*12i + 5*d^6 - 24*c^2*d^4 - c^3*d^3*24i + 8*c^4*d^2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2)*1i - ((a^2*f*(128*a^4*d^5*f^2 + a^4*c*d^4*f^2*384i - 256*a^4*c^2*d^3*f^2) + 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2) + 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^5*12i + 5*d^6 - 24*c^2*d^4 - c^3*d^3*24i + 8*c^4*d^2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2)*1i)/(((a^2*f*(128*a^4*d^5*f^2 + a^4*c*d^4*f^2*384i - 256*a^4*c^2*d^3*f^2) - 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2) - 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^5*12i + 5*d^6 - 24*c^2*d^4 - c^3*d^3*24i + 8*c^4*d^2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2) + ((a^2*f*(128*a^4*d^5*f^2 + a^4*c*d^4*f^2*384i - 256*a^4*c^2*d^3*f^2) + 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2) + 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^5*12i + 5*d^6 - 24*c^2*d^4 - c^3*d^3*24i + 8*c^4*d^2))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2) + 2*a^2*f*(2*c*d^7 - d^8*3i - c^2*d^6*15i + 28*c^3*d^5 + c^4*d^4*18i - 4*c^5*d^3)))*(-(4*c*d^3 + 8*c^3*d + c^4*4i + d^4*1i)/(256*a^4*f^2*(c*1i - d)))^(1/2)*2i","B"
1112,1,16296,274,9.209905,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{-\frac{d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,\left(c^2\,2{}\mathrm{i}+c\,d+d^2\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,\left(a^3\,c\,f+a^3\,d\,f\,1{}\mathrm{i}\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(10\,c^3\,d+c^2\,d^2\,15{}\mathrm{i}+5\,c\,d^3+d^4\,10{}\mathrm{i}\right)}{80\,a^3\,f}+\frac{d\,\left(c^2\,6{}\mathrm{i}+d^2\,10{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,1{}\mathrm{i}}{24\,a^3\,f}}{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(3\,c^2+c\,d\,6{}\mathrm{i}-3\,d^2\right)+{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3+3\,c\,d^2-c^2\,d\,3{}\mathrm{i}-\left(3\,c+d\,3{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-c^3+d^3\,1{}\mathrm{i}}-\ln\left(\left(\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4-4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}\,\left(2048\,a^9\,d^9\,f^3-32\,\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4-4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2048\,a^6\,c^3\,d^2\,f^2+a^6\,c^2\,d^3\,f^2\,4096{}\mathrm{i}-2048\,a^6\,c\,d^4\,f^2\right)\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)-4096\,a^9\,c^4\,d^5\,f^3-2048\,a^9\,c^6\,d^3\,f^3+a^9\,c\,d^8\,f^3\,5120{}\mathrm{i}+a^9\,c^3\,d^6\,f^3\,8192{}\mathrm{i}+a^9\,c^5\,d^4\,f^3\,3072{}\mathrm{i}\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)\,\left(-8\,c^6\,d^2+c^5\,d^3\,8{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,8{}\mathrm{i}+4\,d^8\right)\right)\,\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4-4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}+28\,a^3\,c^3\,d^9\,f+108\,a^3\,c^5\,d^7\,f+44\,a^3\,c^7\,d^5\,f-8\,a^3\,c^9\,d^3\,f-12\,a^3\,c\,d^{11}\,f-a^3\,c^2\,d^{10}\,f\,42{}\mathrm{i}-a^3\,c^4\,d^8\,f\,64{}\mathrm{i}+a^3\,c^6\,d^6\,f\,30{}\mathrm{i}+a^3\,c^8\,d^4\,f\,36{}\mathrm{i}\right)\,\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4-4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}-8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}-\ln\left(\left(\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4+4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}\,\left(2048\,a^9\,d^9\,f^3-32\,\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4+4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2048\,a^6\,c^3\,d^2\,f^2+a^6\,c^2\,d^3\,f^2\,4096{}\mathrm{i}-2048\,a^6\,c\,d^4\,f^2\right)\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)-4096\,a^9\,c^4\,d^5\,f^3-2048\,a^9\,c^6\,d^3\,f^3+a^9\,c\,d^8\,f^3\,5120{}\mathrm{i}+a^9\,c^3\,d^6\,f^3\,8192{}\mathrm{i}+a^9\,c^5\,d^4\,f^3\,3072{}\mathrm{i}\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)\,\left(-8\,c^6\,d^2+c^5\,d^3\,8{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,8{}\mathrm{i}+4\,d^8\right)\right)\,\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4+4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}+28\,a^3\,c^3\,d^9\,f+108\,a^3\,c^5\,d^7\,f+44\,a^3\,c^7\,d^5\,f-8\,a^3\,c^9\,d^3\,f-12\,a^3\,c\,d^{11}\,f-a^3\,c^2\,d^{10}\,f\,42{}\mathrm{i}-a^3\,c^4\,d^8\,f\,64{}\mathrm{i}+a^3\,c^6\,d^6\,f\,30{}\mathrm{i}+a^3\,c^8\,d^4\,f\,36{}\mathrm{i}\right)\,\sqrt{\frac{12\,c\,d^{12}-d^{13}\,4{}\mathrm{i}-c^2\,d^{11}\,9{}\mathrm{i}+59\,c^3\,d^{10}+c^4\,d^9\,39{}\mathrm{i}+51\,c^5\,d^8+c^6\,d^7\,64{}\mathrm{i}+c^8\,d^5\,24{}\mathrm{i}-8\,c^9\,d^4+4\,a^6\,c^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+4\,a^6\,d^4\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}+8\,a^6\,c^2\,d^2\,f^2\,\sqrt{\frac{9\,c^{10}\,d^{16}-c^9\,d^{17}\,54{}\mathrm{i}-111\,c^8\,d^{18}+c^7\,d^{19}\,36{}\mathrm{i}-209\,c^6\,d^{20}+c^5\,d^{21}\,330{}\mathrm{i}+111\,c^4\,d^{22}+c^3\,d^{23}\,176{}\mathrm{i}+216\,c^2\,d^{24}-c\,d^{25}\,96{}\mathrm{i}-16\,d^{26}}{16\,a^{12}\,c^8\,f^4+64\,a^{12}\,c^6\,d^2\,f^4+96\,a^{12}\,c^4\,d^4\,f^4+64\,a^{12}\,c^2\,d^6\,f^4+16\,a^{12}\,d^8\,f^4}}}{2048\,a^6\,c^6\,d^4\,f^2+6144\,a^6\,c^4\,d^6\,f^2+6144\,a^6\,c^2\,d^8\,f^2+2048\,a^6\,d^{10}\,f^2}}+\ln\left(\left(\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(2048\,a^9\,d^9\,f^3+a^9\,c\,d^8\,f^3\,5120{}\mathrm{i}+a^9\,c^3\,d^6\,f^3\,8192{}\mathrm{i}-4096\,a^9\,c^4\,d^5\,f^3+a^9\,c^5\,d^4\,f^3\,3072{}\mathrm{i}-2048\,a^9\,c^6\,d^3\,f^3+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2048\,a^6\,c^3\,d^2\,f^2+a^6\,c^2\,d^3\,f^2\,4096{}\mathrm{i}-2048\,a^6\,c\,d^4\,f^2\right)\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)\,\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}\right)-32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)\,\left(-8\,c^6\,d^2+c^5\,d^3\,8{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,8{}\mathrm{i}+4\,d^8\right)\right)\,\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}+28\,a^3\,c^3\,d^9\,f+108\,a^3\,c^5\,d^7\,f+44\,a^3\,c^7\,d^5\,f-8\,a^3\,c^9\,d^3\,f-12\,a^3\,c\,d^{11}\,f-a^3\,c^2\,d^{10}\,f\,42{}\mathrm{i}-a^3\,c^4\,d^8\,f\,64{}\mathrm{i}+a^3\,c^6\,d^6\,f\,30{}\mathrm{i}+a^3\,c^8\,d^4\,f\,36{}\mathrm{i}\right)\,\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}+8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(\left(\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}+a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(2048\,a^9\,d^9\,f^3+a^9\,c\,d^8\,f^3\,5120{}\mathrm{i}+a^9\,c^3\,d^6\,f^3\,8192{}\mathrm{i}-4096\,a^9\,c^4\,d^5\,f^3+a^9\,c^5\,d^4\,f^3\,3072{}\mathrm{i}-2048\,a^9\,c^6\,d^3\,f^3+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2048\,a^6\,c^3\,d^2\,f^2+a^6\,c^2\,d^3\,f^2\,4096{}\mathrm{i}-2048\,a^6\,c\,d^4\,f^2\right)\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)\,\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}+a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}\right)-32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,f^2+a^6\,c\,d\,f^2\,2{}\mathrm{i}+a^6\,d^2\,f^2\right)\,\left(-8\,c^6\,d^2+c^5\,d^3\,8{}\mathrm{i}-16\,c^4\,d^4+c^3\,d^5\,16{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,8{}\mathrm{i}+4\,d^8\right)\right)\,\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}+a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}+28\,a^3\,c^3\,d^9\,f+108\,a^3\,c^5\,d^7\,f+44\,a^3\,c^7\,d^5\,f-8\,a^3\,c^9\,d^3\,f-12\,a^3\,c\,d^{11}\,f-a^3\,c^2\,d^{10}\,f\,42{}\mathrm{i}-a^3\,c^4\,d^8\,f\,64{}\mathrm{i}+a^3\,c^6\,d^6\,f\,30{}\mathrm{i}+a^3\,c^8\,d^4\,f\,36{}\mathrm{i}\right)\,\sqrt{\frac{c\,d^{10}\,4{}\mathrm{i}+4\,d^{11}+21\,c^2\,d^9+c^3\,d^8\,21{}\mathrm{i}+24\,c^4\,d^7+c^5\,d^6\,24{}\mathrm{i}+8\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}+a^6\,c^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-a^6\,d^2\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}\,4{}\mathrm{i}-8\,a^6\,c\,d\,f^2\,\sqrt{{\left(\frac{-2\,c^9\,d^4+\frac{51\,c^5\,d^8}{4}+\frac{59\,c^3\,d^{10}}{4}+3\,c\,d^{12}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}+\frac{\left(6\,c^8\,d^5+16\,c^6\,d^7+\frac{39\,c^4\,d^9}{4}-\frac{9\,c^2\,d^{11}}{4}-d^{13}\right)\,1{}\mathrm{i}}{a^6\,c^4\,f^2+2\,a^6\,c^2\,d^2\,f^2+a^6\,d^4\,f^2}\right)}^2+4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{111\,c^8\,d^8}{1024}-\frac{41\,c^6\,d^{10}}{1024}-\frac{123\,c^4\,d^{12}}{1024}+\frac{9\,c^2\,d^{14}}{1024}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}-\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{81\,c^7\,d^9}{512}+\frac{27\,c^5\,d^{11}}{256}-\frac{27\,c^3\,d^{13}}{512}\right)\,1{}\mathrm{i}}{a^{12}\,c^4\,f^4+2\,a^{12}\,c^2\,d^2\,f^4+a^{12}\,d^4\,f^4}\right)}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^2\,f^2\,1{}\mathrm{i}+2\,a^6\,c\,d\,f^2+a^6\,d^2\,f^2\,1{}\mathrm{i}\right)}}","Not used",1,"(((c + d*tan(e + f*x))^(1/2)*(5*c*d^3 + 10*c^3*d + d^4*10i + c^2*d^2*15i))/(80*a^3*f) - (d*(c + d*tan(e + f*x))^(5/2)*(c*d + c^2*2i + d^2*2i)*1i)/(16*(a^3*c*f + a^3*d*f*1i)) + (d*(c^2*6i + d^2*10i)*(c + d*tan(e + f*x))^(3/2)*1i)/(24*a^3*f))/((c + d*tan(e + f*x))*(c*d*6i + 3*c^2 - 3*d^2) + (c + d*tan(e + f*x))^3 + 3*c*d^2 - c^2*d*3i - (3*c + d*3i)*(c + d*tan(e + f*x))^2 - c^3 + d^3*1i) - log((((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 - 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2)*(2048*a^9*d^9*f^3 + a^9*c*d^8*f^3*5120i - 32*((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 - 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^6*c^2*d^3*f^2*4096i - 2048*a^6*c*d^4*f^2 + 2048*a^6*c^3*d^2*f^2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i) + a^9*c^3*d^6*f^3*8192i - 4096*a^9*c^4*d^5*f^3 + a^9*c^5*d^4*f^3*3072i - 2048*a^9*c^6*d^3*f^3) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i)*(c*d^7*8i + 4*d^8 - 5*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*8i - 8*c^6*d^2))*((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 - 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2) - a^3*c^2*d^10*f*42i + 28*a^3*c^3*d^9*f - a^3*c^4*d^8*f*64i + 108*a^3*c^5*d^7*f + a^3*c^6*d^6*f*30i + 44*a^3*c^7*d^5*f + a^3*c^8*d^4*f*36i - 8*a^3*c^9*d^3*f - 12*a^3*c*d^11*f)*((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 - 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) - 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2) - log((((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 + 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2)*(2048*a^9*d^9*f^3 + a^9*c*d^8*f^3*5120i - 32*((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 + 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^6*c^2*d^3*f^2*4096i - 2048*a^6*c*d^4*f^2 + 2048*a^6*c^3*d^2*f^2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i) + a^9*c^3*d^6*f^3*8192i - 4096*a^9*c^4*d^5*f^3 + a^9*c^5*d^4*f^3*3072i - 2048*a^9*c^6*d^3*f^3) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i)*(c*d^7*8i + 4*d^8 - 5*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*8i - 8*c^6*d^2))*((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 + 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2) - a^3*c^2*d^10*f*42i + 28*a^3*c^3*d^9*f - a^3*c^4*d^8*f*64i + 108*a^3*c^5*d^7*f + a^3*c^6*d^6*f*30i + 44*a^3*c^7*d^5*f + a^3*c^8*d^4*f*36i - 8*a^3*c^9*d^3*f - 12*a^3*c*d^11*f)*((12*c*d^12 - d^13*4i - c^2*d^11*9i + 59*c^3*d^10 + c^4*d^9*39i + 51*c^5*d^8 + c^6*d^7*64i + c^8*d^5*24i - 8*c^9*d^4 + 4*a^6*c^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 4*a^6*d^4*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2) + 8*a^6*c^2*d^2*f^2*((216*c^2*d^24 - 16*d^26 - c*d^25*96i + c^3*d^23*176i + 111*c^4*d^22 + c^5*d^21*330i - 209*c^6*d^20 + c^7*d^19*36i - 111*c^8*d^18 - c^9*d^17*54i + 9*c^10*d^16)/(16*a^12*c^8*f^4 + 16*a^12*d^8*f^4 + 64*a^12*c^2*d^6*f^4 + 96*a^12*c^4*d^4*f^4 + 64*a^12*c^6*d^2*f^4))^(1/2))/(2048*a^6*d^10*f^2 + 6144*a^6*c^2*d^8*f^2 + 6144*a^6*c^4*d^6*f^2 + 2048*a^6*c^6*d^4*f^2))^(1/2) + log((((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i - a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2)*(2048*a^9*d^9*f^3 + a^9*c*d^8*f^3*5120i + a^9*c^3*d^6*f^3*8192i - 4096*a^9*c^4*d^5*f^3 + a^9*c^5*d^4*f^3*3072i - 2048*a^9*c^6*d^3*f^3 + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*c^2*d^3*f^2*4096i - 2048*a^6*c*d^4*f^2 + 2048*a^6*c^3*d^2*f^2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i)*((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i - a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2)) - 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i)*(c*d^7*8i + 4*d^8 - 5*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*8i - 8*c^6*d^2))*((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i - a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2) - a^3*c^2*d^10*f*42i + 28*a^3*c^3*d^9*f - a^3*c^4*d^8*f*64i + 108*a^3*c^5*d^7*f + a^3*c^6*d^6*f*30i + 44*a^3*c^7*d^5*f + a^3*c^8*d^4*f*36i - 8*a^3*c^9*d^3*f - 12*a^3*c*d^11*f)*((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i - a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i + 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2) + log((((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i + a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2)*(2048*a^9*d^9*f^3 + a^9*c*d^8*f^3*5120i + a^9*c^3*d^6*f^3*8192i - 4096*a^9*c^4*d^5*f^3 + a^9*c^5*d^4*f^3*3072i - 2048*a^9*c^6*d^3*f^3 + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*c^2*d^3*f^2*4096i - 2048*a^6*c*d^4*f^2 + 2048*a^6*c^3*d^2*f^2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i)*((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i + a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2)) - 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2*f^2 - a^6*c^2*f^2 + a^6*c*d*f^2*2i)*(c*d^7*8i + 4*d^8 - 5*c^2*d^6 + c^3*d^5*16i - 16*c^4*d^4 + c^5*d^3*8i - 8*c^6*d^2))*((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i + a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2) - a^3*c^2*d^10*f*42i + 28*a^3*c^3*d^9*f - a^3*c^4*d^8*f*64i + 108*a^3*c^5*d^7*f + a^3*c^6*d^6*f*30i + 44*a^3*c^7*d^5*f + a^3*c^8*d^4*f*36i - 8*a^3*c^9*d^3*f - 12*a^3*c*d^11*f)*((c*d^10*4i + 4*d^11 + 21*c^2*d^9 + c^3*d^8*21i + 24*c^4*d^7 + c^5*d^6*24i + 8*c^6*d^5 + c^7*d^4*8i + a^6*c^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - a^6*d^2*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2)*4i - 8*a^6*c*d*f^2*(((3*c*d^12 + (59*c^3*d^10)/4 + (51*c^5*d^8)/4 - 2*c^9*d^4)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2) + (((39*c^4*d^9)/4 - (9*c^2*d^11)/4 - d^13 + 16*c^6*d^7 + 6*c^8*d^5)*1i)/(a^6*c^4*f^2 + a^6*d^4*f^2 + 2*a^6*c^2*d^2*f^2))^2 + 4*(256*d^6 + 256*c^2*d^4)*(((9*c^2*d^14)/1024 - (123*c^4*d^12)/1024 - (41*c^6*d^10)/1024 + (111*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4) - (((27*c^5*d^11)/256 - (27*c^3*d^13)/512 + (81*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^4*f^4 + a^12*d^4*f^4 + 2*a^12*c^2*d^2*f^4)))^(1/2))/(2048*(d^6 + c^2*d^4)*(a^6*d^2*f^2*1i - a^6*c^2*f^2*1i + 2*a^6*c*d*f^2)))^(1/2)","B"
1113,1,400,216,27.628106,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^(5/2),x)","-\left(\frac{\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d^2\,f}\right)}{5}+\frac{a^3\,{\left(c+d\,1{}\mathrm{i}\right)}^2\,2{}\mathrm{i}}{5\,d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}-\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{7\,d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{7\,d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}-{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d^2\,f}\right)+\frac{a^3\,{\left(c+d\,1{}\mathrm{i}\right)}^2\,2{}\mathrm{i}}{d^2\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\frac{\left(c-d\,1{}\mathrm{i}\right)\,\left(\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d^2\,f}\right)+\frac{a^3\,{\left(c+d\,1{}\mathrm{i}\right)}^2\,2{}\mathrm{i}}{d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3}-\frac{a^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{9/2}\,2{}\mathrm{i}}{9\,d^2\,f}-\frac{\sqrt{16{}\mathrm{i}}\,a^3\,\mathrm{atan}\left(\frac{\sqrt{16{}\mathrm{i}}\,{\left(d+c\,1{}\mathrm{i}\right)}^{5/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{4\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}\right)\,{\left(d+c\,1{}\mathrm{i}\right)}^{5/2}\,2{}\mathrm{i}}{f}","Not used",1,"- (((c - d*1i)*((a^3*(c - d*1i)*2i)/(d^2*f) - (a^3*(c + d*1i)*4i)/(d^2*f)))/5 + (a^3*(c + d*1i)^2*2i)/(5*d^2*f))*(c + d*tan(e + f*x))^(5/2) - ((a^3*(c - d*1i)*2i)/(7*d^2*f) - (a^3*(c + d*1i)*4i)/(7*d^2*f))*(c + d*tan(e + f*x))^(7/2) - (c - d*1i)^2*((c - d*1i)*((a^3*(c - d*1i)*2i)/(d^2*f) - (a^3*(c + d*1i)*4i)/(d^2*f)) + (a^3*(c + d*1i)^2*2i)/(d^2*f))*(c + d*tan(e + f*x))^(1/2) - ((c - d*1i)*((c - d*1i)*((a^3*(c - d*1i)*2i)/(d^2*f) - (a^3*(c + d*1i)*4i)/(d^2*f)) + (a^3*(c + d*1i)^2*2i)/(d^2*f))*(c + d*tan(e + f*x))^(3/2))/3 - (a^3*(c + d*tan(e + f*x))^(9/2)*2i)/(9*d^2*f) - (16i^(1/2)*a^3*atan((16i^(1/2)*(c*1i + d)^(5/2)*(c + d*tan(e + f*x))^(1/2)*1i)/(4*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3)))*(c*1i + d)^(5/2)*2i)/f","B"
1114,1,257,166,19.220126,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^(5/2),x)","-\left(\frac{2\,a^2\,\left(c-d\,1{}\mathrm{i}\right)}{5\,d\,f}-\frac{2\,a^2\,\left(c+d\,1{}\mathrm{i}\right)}{5\,d\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}-{\left(c-d\,1{}\mathrm{i}\right)}^2\,\left(\frac{2\,a^2\,\left(c-d\,1{}\mathrm{i}\right)}{d\,f}-\frac{2\,a^2\,\left(c+d\,1{}\mathrm{i}\right)}{d\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\frac{\left(c-d\,1{}\mathrm{i}\right)\,\left(\frac{2\,a^2\,\left(c-d\,1{}\mathrm{i}\right)}{d\,f}-\frac{2\,a^2\,\left(c+d\,1{}\mathrm{i}\right)}{d\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3}-\frac{2\,a^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d\,f}-\frac{\sqrt{4{}\mathrm{i}}\,a^2\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,{\left(d+c\,1{}\mathrm{i}\right)}^{5/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{2\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}\right)\,{\left(d+c\,1{}\mathrm{i}\right)}^{5/2}\,2{}\mathrm{i}}{f}","Not used",1,"- ((2*a^2*(c - d*1i))/(5*d*f) - (2*a^2*(c + d*1i))/(5*d*f))*(c + d*tan(e + f*x))^(5/2) - (c - d*1i)^2*((2*a^2*(c - d*1i))/(d*f) - (2*a^2*(c + d*1i))/(d*f))*(c + d*tan(e + f*x))^(1/2) - ((c - d*1i)*((2*a^2*(c - d*1i))/(d*f) - (2*a^2*(c + d*1i))/(d*f))*(c + d*tan(e + f*x))^(3/2))/3 - (2*a^2*(c + d*tan(e + f*x))^(7/2))/(7*d*f) - (4i^(1/2)*a^2*atan((4i^(1/2)*(c*1i + d)^(5/2)*(c + d*tan(e + f*x))^(1/2)*1i)/(2*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3)))*(c*1i + d)^(5/2)*2i)/f","B"
1115,1,3899,131,28.125040,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^(5/2),x)","\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5-32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}}{4\,f^4}-\frac{a^2\,c^5}{4\,f^2}-\frac{5\,a^2\,c\,d^4}{4\,f^2}+\frac{5\,a^2\,c^3\,d^2}{2\,f^2}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5+32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5+32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{-\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{4\,f^4}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5-32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{5\,a^2\,c^3\,d^2}{2\,f^2}-\frac{a^2\,c^5}{4\,f^2}-\frac{5\,a^2\,c\,d^4}{4\,f^2}-\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}}{4\,f^4}}-\ln\left(\frac{\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-a\,d^6\,32{}\mathrm{i}+a\,c^4\,d^2\,32{}\mathrm{i}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}}{2}-\frac{8\,a^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^3}{f^3}\right)\,\sqrt{-\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-a\,d^6\,32{}\mathrm{i}+a\,c^4\,d^2\,32{}\mathrm{i}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}}{2}-\frac{8\,a^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{4\,f^4}}+\ln\left(-\frac{\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+a\,d^6\,32{}\mathrm{i}-a\,c^4\,d^2\,32{}\mathrm{i}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}}{2}-\frac{8\,a^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}}{4\,f^4}-\frac{a^2\,c^5}{4\,f^2}-\frac{5\,a^2\,c\,d^4}{4\,f^2}+\frac{5\,a^2\,c^3\,d^2}{2\,f^2}}+\ln\left(-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+a\,d^6\,32{}\mathrm{i}-a\,c^4\,d^2\,32{}\mathrm{i}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}}{2}-\frac{8\,a^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2\,1{}\mathrm{i}+d^2\,1{}\mathrm{i}\right)}^3}{f^3}\right)\,\sqrt{\frac{5\,a^2\,c^3\,d^2}{2\,f^2}-\frac{a^2\,c^5}{4\,f^2}-\frac{5\,a^2\,c\,d^4}{4\,f^2}-\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}}{4\,f^4}}+\left(\frac{a\,c^2\,4{}\mathrm{i}}{f}-\frac{a\,\left(c^2+d^2\right)\,2{}\mathrm{i}}{f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+\frac{2\,a\,d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{4\,a\,c\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{a\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,2{}\mathrm{i}}{5\,f}+\frac{a\,c\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}{3\,f}","Not used",1,"log(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 - 32*c*d^2*f*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c^5)/(4*f^2) - (5*a^2*c*d^4)/(4*f^2) + (5*a^2*c^3*d^2)/(2*f^2))^(1/2) - log(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 + 32*c*d^2*f*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*(((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/(4*f^4))^(1/2) - log(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 + 32*c*d^2*f*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*(-((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/(4*f^4))^(1/2) + log(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 - 32*c*d^2*f*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*((5*a^2*c^3*d^2)/(2*f^2) - (a^2*c^5)/(4*f^2) - (5*a^2*c*d^4)/(4*f^2) - (20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2)/(4*f^4))^(1/2) - log(((((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(a*c^4*d^2*32i - a*d^6*32i + 32*c*d^2*f*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2)*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2))/2 - (8*a^3*c*d^2*(c^2 - 3*d^2)*(c^2*1i + d^2*1i)^3)/f^3)*(-((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/(4*f^4))^(1/2) - log(((((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(a*c^4*d^2*32i - a*d^6*32i + 32*c*d^2*f*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2)*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2))/2 - (8*a^3*c*d^2*(c^2 - 3*d^2)*(c^2*1i + d^2*1i)^3)/f^3)*(((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/(4*f^4))^(1/2) + log(- ((((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(a*d^6*32i - a*c^4*d^2*32i + 32*c*d^2*f*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2)*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2))/2 - (8*a^3*c*d^2*(c^2 - 3*d^2)*(c^2*1i + d^2*1i)^3)/f^3)*((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c^5)/(4*f^2) - (5*a^2*c*d^4)/(4*f^2) + (5*a^2*c^3*d^2)/(2*f^2))^(1/2) + log(- ((((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(a*d^6*32i - a*c^4*d^2*32i + 32*c*d^2*f*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2)*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2))/2 - (8*a^3*c*d^2*(c^2 - 3*d^2)*(c^2*1i + d^2*1i)^3)/f^3)*((5*a^2*c^3*d^2)/(2*f^2) - (a^2*c^5)/(4*f^2) - (5*a^2*c*d^4)/(4*f^2) - (20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2)/(4*f^4))^(1/2) + ((a*c^2*4i)/f - (a*(c^2 + d^2)*2i)/f)*(c + d*tan(e + f*x))^(1/2) + (a*(c + d*tan(e + f*x))^(5/2)*2i)/(5*f) + (a*c*(c + d*tan(e + f*x))^(3/2)*2i)/(3*f) + (2*a*d*(c + d*tan(e + f*x))^(3/2))/(3*f) + (4*a*c*d*(c + d*tan(e + f*x))^(1/2))/f","B"
1116,1,4857,185,9.357530,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i),x)","\ln\left(-\left(\left(\frac{a\,f\,\left(16\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,80{}\mathrm{i}+16\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,80{}\mathrm{i}\right)}{2}+64\,a^4\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}+2\,a^2\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^6\,d^2-c^5\,d^3\,10{}\mathrm{i}-5\,c^4\,d^4+80\,c^2\,d^6+c\,d^7\,50{}\mathrm{i}-17\,d^8\right)\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}+\frac{a\,f\,\left(-c^8\,d^3+c^7\,d^4\,15{}\mathrm{i}+49\,c^6\,d^5+c^5\,d^6\,5{}\mathrm{i}+113\,c^4\,d^7-c^3\,d^8\,35{}\mathrm{i}+75\,c^2\,d^9-c\,d^{10}\,25{}\mathrm{i}+12\,d^{11}\right)}{2}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}+\ln\left(-\left(\left(\frac{a\,f\,\left(16\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,80{}\mathrm{i}+16\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,80{}\mathrm{i}\right)}{2}+64\,a^4\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}+2\,a^2\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^6\,d^2-c^5\,d^3\,10{}\mathrm{i}-5\,c^4\,d^4+80\,c^2\,d^6+c\,d^7\,50{}\mathrm{i}-17\,d^8\right)\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}+\frac{a\,f\,\left(-c^8\,d^3+c^7\,d^4\,15{}\mathrm{i}+49\,c^6\,d^5+c^5\,d^6\,5{}\mathrm{i}+113\,c^4\,d^7-c^3\,d^8\,35{}\mathrm{i}+75\,c^2\,d^9-c\,d^{10}\,25{}\mathrm{i}+12\,d^{11}\right)}{2}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-c^{12}\,d^4+29\,c^{10}\,d^6+110\,c^8\,d^8+130\,c^6\,d^{10}+35\,c^4\,d^{12}-31\,c^2\,d^{14}-16\,d^{16}}{a^4\,f^4}+\frac{\left(-10\,c^{11}\,d^5+100\,c^7\,d^9+200\,c^5\,d^{11}+150\,c^3\,d^{13}+40\,c\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,f^4}\right)+{\left(-\frac{32\,c^7\,d^4-48\,c^5\,d^6+640\,c^3\,d^8+720\,c\,d^{10}}{a^2\,f^2}+\frac{\left(160\,c^6\,d^5+400\,c^4\,d^7-240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,f^2}\right)}^2}}{512\,a^2\,f^2\,\left(c^2\,d^4+d^6\right)}}-\ln\left(-\left(\left(\frac{a\,f\,\left(16\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,80{}\mathrm{i}+16\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,80{}\mathrm{i}\right)}{2}-64\,a^4\,c\,d^2\,f^4\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}-2\,a^2\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^6\,d^2-c^5\,d^3\,10{}\mathrm{i}-5\,c^4\,d^4+80\,c^2\,d^6+c\,d^7\,50{}\mathrm{i}-17\,d^8\right)\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}+\frac{a\,f\,\left(-c^8\,d^3+c^7\,d^4\,15{}\mathrm{i}+49\,c^6\,d^5+c^5\,d^6\,5{}\mathrm{i}+113\,c^4\,d^7-c^3\,d^8\,35{}\mathrm{i}+75\,c^2\,d^9-c\,d^{10}\,25{}\mathrm{i}+12\,d^{11}\right)}{2}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4+a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}-\ln\left(-\left(\left(\frac{a\,f\,\left(16\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,80{}\mathrm{i}+16\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,80{}\mathrm{i}\right)}{2}-64\,a^4\,c\,d^2\,f^4\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}-2\,a^2\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^6\,d^2-c^5\,d^3\,10{}\mathrm{i}-5\,c^4\,d^4+80\,c^2\,d^6+c\,d^7\,50{}\mathrm{i}-17\,d^8\right)\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}+\frac{a\,f\,\left(-c^8\,d^3+c^7\,d^4\,15{}\mathrm{i}+49\,c^6\,d^5+c^5\,d^6\,5{}\mathrm{i}+113\,c^4\,d^7-c^3\,d^8\,35{}\mathrm{i}+75\,c^2\,d^9-c\,d^{10}\,25{}\mathrm{i}+12\,d^{11}\right)}{2}\right)\,\sqrt{-\frac{720\,c\,d^{10}+d^{11}\,240{}\mathrm{i}+640\,c^3\,d^8-c^4\,d^7\,400{}\mathrm{i}-48\,c^5\,d^6-c^6\,d^5\,160{}\mathrm{i}+32\,c^7\,d^4-a^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}-c^9\,d^{13}\,268800{}\mathrm{i}+70400\,c^8\,d^{14}-c^7\,d^{15}\,1034240{}\mathrm{i}+586240\,c^6\,d^{16}-c^5\,d^{17}\,957440{}\mathrm{i}+1117696\,c^4\,d^{18}+c^3\,d^{19}\,112640{}\mathrm{i}+470272\,c^2\,d^{20}+c\,d^{21}\,304640{}\mathrm{i}-73984\,d^{22}}{a^4\,f^4}}}{512\,a^2\,c^2\,d^4\,f^2+512\,a^2\,d^6\,f^2}}-\frac{d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{a\,f}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^2\,d+c\,d^2\,2{}\mathrm{i}-d^3\right)}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)}","Not used",1,"log((a*f*(12*d^11 - c*d^10*25i + 75*c^2*d^9 - c^3*d^8*35i + 113*c^4*d^7 + c^5*d^6*5i + 49*c^6*d^5 + c^7*d^4*15i - c^8*d^3))/2 - (((a*f*(a^2*d^6*f^2*80i + 16*a^2*c*d^5*f^2 + a^2*c^2*d^4*f^2*80i + 16*a^2*c^3*d^3*f^2))/2 + 64*a^4*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2) + 2*a^2*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*50i - 17*d^8 + 80*c^2*d^6 - 5*c^4*d^4 - c^5*d^3*10i + 2*c^6*d^2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2) + log((a*f*(12*d^11 - c*d^10*25i + 75*c^2*d^9 - c^3*d^8*35i + 113*c^4*d^7 + c^5*d^6*5i + 49*c^6*d^5 + c^7*d^4*15i - c^8*d^3))/2 - (((a*f*(a^2*d^6*f^2*80i + 16*a^2*c*d^5*f^2 + a^2*c^2*d^4*f^2*80i + 16*a^2*c^3*d^3*f^2))/2 + 64*a^4*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2) + 2*a^2*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*50i - 17*d^8 + 80*c^2*d^6 - 5*c^4*d^4 - c^5*d^3*10i + 2*c^6*d^2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((((400*c^4*d^7 - 240*d^11 + 160*c^6*d^5)*1i)/(a^2*f^2) - (720*c*d^10 + 640*c^3*d^8 - 48*c^5*d^6 + 32*c^7*d^4)/(a^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((40*c*d^15 + 150*c^3*d^13 + 200*c^5*d^11 + 100*c^7*d^9 - 10*c^11*d^5)*1i)/(a^4*f^4) - (35*c^4*d^12 - 31*c^2*d^14 - 16*d^16 + 130*c^6*d^10 + 110*c^8*d^8 + 29*c^10*d^6 - c^12*d^4)/(a^4*f^4)))^(1/2))/(512*a^2*f^2*(d^6 + c^2*d^4)))^(1/2) - log((a*f*(12*d^11 - c*d^10*25i + 75*c^2*d^9 - c^3*d^8*35i + 113*c^4*d^7 + c^5*d^6*5i + 49*c^6*d^5 + c^7*d^4*15i - c^8*d^3))/2 - (((a*f*(a^2*d^6*f^2*80i + 16*a^2*c*d^5*f^2 + a^2*c^2*d^4*f^2*80i + 16*a^2*c^3*d^3*f^2))/2 - 64*a^4*c*d^2*f^4*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2) - 2*a^2*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*50i - 17*d^8 + 80*c^2*d^6 - 5*c^4*d^4 - c^5*d^3*10i + 2*c^6*d^2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 + a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2) - log((a*f*(12*d^11 - c*d^10*25i + 75*c^2*d^9 - c^3*d^8*35i + 113*c^4*d^7 + c^5*d^6*5i + 49*c^6*d^5 + c^7*d^4*15i - c^8*d^3))/2 - (((a*f*(a^2*d^6*f^2*80i + 16*a^2*c*d^5*f^2 + a^2*c^2*d^4*f^2*80i + 16*a^2*c^3*d^3*f^2))/2 - 64*a^4*c*d^2*f^4*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2) - 2*a^2*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*50i - 17*d^8 + 80*c^2*d^6 - 5*c^4*d^4 - c^5*d^3*10i + 2*c^6*d^2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2))*(-(720*c*d^10 + d^11*240i + 640*c^3*d^8 - c^4*d^7*400i - 48*c^5*d^6 - c^6*d^5*160i + 32*c^7*d^4 - a^2*f^2*((c*d^21*304640i - 73984*d^22 + 470272*c^2*d^20 + c^3*d^19*112640i + 1117696*c^4*d^18 - c^5*d^17*957440i + 586240*c^6*d^16 - c^7*d^15*1034240i + 70400*c^8*d^14 - c^9*d^13*268800i + 57600*c^10*d^12)/(a^4*f^4))^(1/2))/(512*a^2*d^6*f^2 + 512*a^2*c^2*d^4*f^2))^(1/2) - (d^2*(c + d*tan(e + f*x))^(1/2)*2i)/(a*f) - ((c + d*tan(e + f*x))^(1/2)*(c*d^2*2i + c^2*d - d^3))/(2*a*f*(d*1i - d*tan(e + f*x)))","B"
1117,1,9787,217,9.187904,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^2,x)","-\mathrm{atan}\left(\frac{\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)-4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}+8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}-\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)+4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}-8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}}{\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)-4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}+8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}+\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)+4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}-8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}-2\,a^2\,f\,\left(4\,c^8\,d^3-c^7\,d^4\,30{}\mathrm{i}-106\,c^6\,d^5+c^5\,d^6\,205{}\mathrm{i}+193\,c^4\,d^7+c^3\,d^8\,20{}\mathrm{i}+240\,c^2\,d^9-c\,d^{10}\,215{}\mathrm{i}-63\,d^{11}\right)}\right)\,\sqrt{-\frac{8\,c^7\,d^4+d^{11}\,45{}\mathrm{i}+c^2\,d^9\,105{}\mathrm{i}-95\,c^3\,d^8+c^4\,d^7\,20{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}-15\,c\,d^{10}+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)-4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}+8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}-\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)+4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}-8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}}{\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)-4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}+8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}+\left(\left(a^2\,f\,\left(-256\,a^4\,c^3\,d^3\,f^2+a^4\,c^2\,d^4\,f^2\,640{}\mathrm{i}-256\,a^4\,c\,d^5\,f^2+a^4\,d^6\,f^2\,640{}\mathrm{i}\right)+4096\,a^8\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}-8\,a^4\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,60{}\mathrm{i}-5\,c^2\,d^6+c\,d^7\,10{}\mathrm{i}+53\,d^8\right)\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}-2\,a^2\,f\,\left(4\,c^8\,d^3-c^7\,d^4\,30{}\mathrm{i}-106\,c^6\,d^5+c^5\,d^6\,205{}\mathrm{i}+193\,c^4\,d^7+c^3\,d^8\,20{}\mathrm{i}+240\,c^2\,d^9-c\,d^{10}\,215{}\mathrm{i}-63\,d^{11}\right)}\right)\,\sqrt{\frac{15\,c\,d^{10}-d^{11}\,45{}\mathrm{i}-c^2\,d^9\,105{}\mathrm{i}+95\,c^3\,d^8-c^4\,d^7\,20{}\mathrm{i}+72\,c^5\,d^6+c^6\,d^5\,40{}\mathrm{i}-8\,c^7\,d^4+a^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{\frac{c^{12}\,d^4}{16}-\frac{11\,c^{10}\,d^6}{4}+\frac{505\,c^8\,d^8}{64}+\frac{215\,c^6\,d^{10}}{16}-\frac{235\,c^4\,d^{12}}{32}-\frac{149\,c^2\,d^{14}}{16}+\frac{49\,d^{16}}{64}}{a^8\,f^4}+\frac{\left(\frac{5\,c^{11}\,d^5}{8}-\frac{105\,c^9\,d^7}{16}+\frac{5\,c^7\,d^9}{16}+\frac{295\,c^5\,d^{11}}{16}+\frac{105\,c^3\,d^{13}}{16}-\frac{35\,c\,d^{15}}{8}\right)\,1{}\mathrm{i}}{a^8\,f^4}\right)+{\left(-\frac{-8\,c^7\,d^4+72\,c^5\,d^6+95\,c^3\,d^8+15\,c\,d^{10}}{a^4\,f^2}+\frac{\left(-40\,c^6\,d^5+20\,c^4\,d^7+105\,c^2\,d^9+45\,d^{11}\right)\,1{}\mathrm{i}}{a^4\,f^2}\right)}^2}}{512\,a^4\,f^2\,\left(c^2\,d^4+d^6\right)}}\,2{}\mathrm{i}-\frac{\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(6\,c^3\,d-c^2\,d^2\,3{}\mathrm{i}+24\,c\,d^3+d^4\,15{}\mathrm{i}\right)}{24\,a^2\,f}-\frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(2\,c^2\,d-c\,d^2\,5{}\mathrm{i}+7\,d^3\right)}{8\,a^2\,f}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-\left(2\,c+d\,2{}\mathrm{i}\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+c^2-d^2+c\,d\,2{}\mathrm{i}}","Not used",1,"- atan((((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) - 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) + 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2)*1i - ((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) + 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) - 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2)*1i)/(((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) - 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) + 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) + ((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) + 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) - 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) - 2*a^2*f*(240*c^2*d^9 - 63*d^11 - c*d^10*215i + c^3*d^8*20i + 193*c^4*d^7 + c^5*d^6*205i - 106*c^6*d^5 - c^7*d^4*30i + 4*c^8*d^3)))*(-(d^11*45i - 15*c*d^10 + c^2*d^9*105i - 95*c^3*d^8 + c^4*d^7*20i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2)*2i - atan((((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) - 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) + 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2)*1i - ((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) + 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) - 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2)*1i)/(((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) - 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) + 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) + ((a^2*f*(a^4*d^6*f^2*640i - 256*a^4*c*d^5*f^2 + a^4*c^2*d^4*f^2*640i - 256*a^4*c^3*d^3*f^2) + 4096*a^8*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) - 8*a^4*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*10i + 53*d^8 - 5*c^2*d^6 - c^3*d^5*60i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2) - 2*a^2*f*(240*c^2*d^9 - 63*d^11 - c*d^10*215i + c^3*d^8*20i + 193*c^4*d^7 + c^5*d^6*205i - 106*c^6*d^5 - c^7*d^4*30i + 4*c^8*d^3)))*((15*c*d^10 - d^11*45i - c^2*d^9*105i + 95*c^3*d^8 - c^4*d^7*20i + 72*c^5*d^6 + c^6*d^5*40i - 8*c^7*d^4 + a^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*((((105*c^3*d^13)/16 - (35*c*d^15)/8 + (295*c^5*d^11)/16 + (5*c^7*d^9)/16 - (105*c^9*d^7)/16 + (5*c^11*d^5)/8)*1i)/(a^8*f^4) - ((49*d^16)/64 - (149*c^2*d^14)/16 - (235*c^4*d^12)/32 + (215*c^6*d^10)/16 + (505*c^8*d^8)/64 - (11*c^10*d^6)/4 + (c^12*d^4)/16)/(a^8*f^4)) + (((45*d^11 + 105*c^2*d^9 + 20*c^4*d^7 - 40*c^6*d^5)*1i)/(a^4*f^2) - (15*c*d^10 + 95*c^3*d^8 + 72*c^5*d^6 - 8*c^7*d^4)/(a^4*f^2))^2)^(1/2))/(512*a^4*f^2*(d^6 + c^2*d^4)))^(1/2)*2i - (((c + d*tan(e + f*x))^(1/2)*(24*c*d^3 + 6*c^3*d + d^4*15i - c^2*d^2*3i))/(24*a^2*f) - ((c + d*tan(e + f*x))^(3/2)*(2*c^2*d - c*d^2*5i + 7*d^3))/(8*a^2*f))/(c*d*2i - (2*c + d*2i)*(c + d*tan(e + f*x)) + (c + d*tan(e + f*x))^2 + c^2 - d^2)","B"
1118,1,9472,285,9.338212,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^3,x)","-\mathrm{atan}\left(\frac{\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)-65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}-\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)+65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}-32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}}{\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)-65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)+65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}-32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+4\,a^3\,f\,\left(-4\,c^8\,d^3+c^7\,d^4\,30{}\mathrm{i}+96\,c^6\,d^5-c^5\,d^6\,165{}\mathrm{i}-153\,c^4\,d^7+c^3\,d^8\,55{}\mathrm{i}-25\,c^2\,d^9+c\,d^{10}\,30{}\mathrm{i}+8\,d^{11}\right)}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4-4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)-65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}-\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)+65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}-32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\,1{}\mathrm{i}}{\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)-65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+\left(\left(2\,a^3\,f\,\left(-1024\,a^6\,c^3\,d^3\,f^2+a^6\,c^2\,d^4\,f^2\,2560{}\mathrm{i}+1536\,a^6\,c\,d^5\,f^2\right)+65536\,a^{12}\,c\,d^2\,f^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}-32\,a^6\,f^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,c^6\,d^2+c^5\,d^3\,40{}\mathrm{i}+80\,c^4\,d^4-c^3\,d^5\,80{}\mathrm{i}-45\,c^2\,d^6+c\,d^7\,20{}\mathrm{i}+8\,d^8\right)\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}+4\,a^3\,f\,\left(-4\,c^8\,d^3+c^7\,d^4\,30{}\mathrm{i}+96\,c^6\,d^5-c^5\,d^6\,165{}\mathrm{i}-153\,c^4\,d^7+c^3\,d^8\,55{}\mathrm{i}-25\,c^2\,d^9+c\,d^{10}\,30{}\mathrm{i}+8\,d^{11}\right)}\right)\,\sqrt{-\frac{20\,c\,d^{10}+c^2\,d^9\,55{}\mathrm{i}-35\,c^3\,d^8+c^4\,d^7\,40{}\mathrm{i}-72\,c^5\,d^6-c^6\,d^5\,40{}\mathrm{i}+8\,c^7\,d^4+4\,a^6\,f^2\,\sqrt{{\left(\frac{2\,c^7\,d^4-18\,c^5\,d^6-\frac{35\,c^3\,d^8}{4}+5\,c\,d^{10}}{a^6\,f^2}+\frac{\left(-10\,c^6\,d^5+10\,c^4\,d^7+\frac{55\,c^2\,d^9}{4}\right)\,1{}\mathrm{i}}{a^6\,f^2}\right)}^2-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(-\frac{-\frac{c^{12}\,d^4}{256}+\frac{11\,c^{10}\,d^6}{64}-\frac{665\,c^8\,d^8}{1024}+\frac{155\,c^6\,d^{10}}{1024}+\frac{225\,c^4\,d^{12}}{1024}+\frac{21\,c^2\,d^{14}}{1024}-\frac{d^{16}}{256}}{a^{12}\,f^4}+\frac{\left(-\frac{5\,c^{11}\,d^5}{128}+\frac{55\,c^9\,d^7}{128}-\frac{285\,c^7\,d^9}{512}-\frac{25\,c^5\,d^{11}}{128}+\frac{35\,c^3\,d^{13}}{512}+\frac{5\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,f^4}\right)}}{2048\,a^6\,f^2\,\left(c^2\,d^4+d^6\right)}}\,2{}\mathrm{i}-\frac{-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(10\,c^4\,d+c^3\,d^2\,5{}\mathrm{i}+20\,c^2\,d^3+c\,d^4\,15{}\mathrm{i}\right)}{80\,a^3\,f}+\frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(6\,c^3\,d-c^2\,d^2\,6{}\mathrm{i}+10\,c\,d^3-d^4\,2{}\mathrm{i}\right)}{24\,a^3\,f}+\frac{d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,\left(c^2\,2{}\mathrm{i}+5\,c\,d-d^2\,4{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^3\,f}}{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(3\,c^2+c\,d\,6{}\mathrm{i}-3\,d^2\right)+{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3+3\,c\,d^2-c^2\,d\,3{}\mathrm{i}-\left(3\,c+d\,3{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-c^3+d^3\,1{}\mathrm{i}}","Not used",1,"- atan((((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) - 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2)*1i - ((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) + 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) - 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2)*1i)/(((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) - 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + ((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) + 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) - 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + 4*a^3*f*(c*d^10*30i + 8*d^11 - 25*c^2*d^9 + c^3*d^8*55i - 153*c^4*d^7 - c^5*d^6*165i + 96*c^6*d^5 + c^7*d^4*30i - 4*c^8*d^3)))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 - 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2)*2i - atan((((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) - 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2)*1i - ((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) + 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) - 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2)*1i)/(((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) - 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + ((2*a^3*f*(1536*a^6*c*d^5*f^2 + a^6*c^2*d^4*f^2*2560i - 1024*a^6*c^3*d^3*f^2) + 65536*a^12*c*d^2*f^4*(c + d*tan(e + f*x))^(1/2)*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) - 32*a^6*f^2*(c + d*tan(e + f*x))^(1/2)*(c*d^7*20i + 8*d^8 - 45*c^2*d^6 - c^3*d^5*80i + 80*c^4*d^4 + c^5*d^3*40i - 8*c^6*d^2))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2) + 4*a^3*f*(c*d^10*30i + 8*d^11 - 25*c^2*d^9 + c^3*d^8*55i - 153*c^4*d^7 - c^5*d^6*165i + 96*c^6*d^5 + c^7*d^4*30i - 4*c^8*d^3)))*(-(20*c*d^10 + c^2*d^9*55i - 35*c^3*d^8 + c^4*d^7*40i - 72*c^5*d^6 - c^6*d^5*40i + 8*c^7*d^4 + 4*a^6*f^2*(((5*c*d^10 - (35*c^3*d^8)/4 - 18*c^5*d^6 + 2*c^7*d^4)/(a^6*f^2) + (((55*c^2*d^9)/4 + 10*c^4*d^7 - 10*c^6*d^5)*1i)/(a^6*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((5*c*d^15)/256 + (35*c^3*d^13)/512 - (25*c^5*d^11)/128 - (285*c^7*d^9)/512 + (55*c^9*d^7)/128 - (5*c^11*d^5)/128)*1i)/(a^12*f^4) - ((21*c^2*d^14)/1024 - d^16/256 + (225*c^4*d^12)/1024 + (155*c^6*d^10)/1024 - (665*c^8*d^8)/1024 + (11*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*f^4)))^(1/2))/(2048*a^6*f^2*(d^6 + c^2*d^4)))^(1/2)*2i - (((c + d*tan(e + f*x))^(3/2)*(10*c*d^3 + 6*c^3*d - d^4*2i - c^2*d^2*6i))/(24*a^3*f) - ((c + d*tan(e + f*x))^(1/2)*(c*d^4*15i + 10*c^4*d + 20*c^2*d^3 + c^3*d^2*5i))/(80*a^3*f) + (d*(c + d*tan(e + f*x))^(5/2)*(5*c*d + c^2*2i - d^2*4i)*1i)/(16*a^3*f))/((c + d*tan(e + f*x))*(c*d*6i + 3*c^2 - 3*d^2) + (c + d*tan(e + f*x))^3 + 3*c*d^2 - c^2*d*3i - (3*c + d*3i)*(c + d*tan(e + f*x))^2 - c^3 + d^3*1i)","B"
1119,1,119,126,6.547924,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c + d*tan(e + f*x))^(1/2),x)","-\left(\frac{a^3\,\left(c-d\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d^2\,f}-\frac{a^3\,\left(c+d\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d^2\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\frac{a^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,2{}\mathrm{i}}{3\,d^2\,f}+\frac{a^3\,\mathrm{atan}\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{-c+d\,1{}\mathrm{i}}}\right)\,8{}\mathrm{i}}{f\,\sqrt{-c+d\,1{}\mathrm{i}}}","Not used",1,"(a^3*atan((c + d*tan(e + f*x))^(1/2)/(d*1i - c)^(1/2))*8i)/(f*(d*1i - c)^(1/2)) - (a^3*(c + d*tan(e + f*x))^(3/2)*2i)/(3*d^2*f) - ((a^3*(c - d*1i)*2i)/(d^2*f) - (a^3*(c + d*1i)*4i)/(d^2*f))*(c + d*tan(e + f*x))^(1/2)","B"
1120,1,67,74,5.913637,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c + d*tan(e + f*x))^(1/2),x)","-\frac{2\,a^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{d\,f}+\frac{a^2\,\mathrm{atan}\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{-c+d\,1{}\mathrm{i}}}\right)\,4{}\mathrm{i}}{f\,\sqrt{-c+d\,1{}\mathrm{i}}}","Not used",1,"(a^2*atan((c + d*tan(e + f*x))^(1/2)/(d*1i - c)^(1/2))*4i)/(f*(d*1i - c)^(1/2)) - (2*a^2*(c + d*tan(e + f*x))^(1/2))/(d*f)","B"
1121,1,2947,46,6.401574,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c + d*tan(e + f*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{8\,c\,d^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,a^4\,d^2\,f^4}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}-\frac{32\,a^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^3\,f^3}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,d^3\,f^2\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}+\frac{32\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,a^2\,d^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^3\,f^3}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,d^3\,f^2\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}+\frac{8\,c\,d^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,a^4\,d^2\,f^4}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}-\frac{32\,a^2\,c^2\,d^2\,f^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}-2\,\mathrm{atanh}\left(-\frac{32\,a^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{-\frac{a^3\,d^2\,16{}\mathrm{i}}{f}+\frac{a^3\,c^2\,d^2\,f^3\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a\,c\,d^2\,f^2\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}}+\frac{8\,c\,d^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,a^4\,d^2\,f^4}}{-a^3\,d^4\,f\,16{}\mathrm{i}-a^3\,c^2\,d^2\,f\,16{}\mathrm{i}+\frac{a^3\,c^2\,d^4\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a^3\,c^4\,d^2\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a\,c\,d^4\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}+\frac{a\,c^3\,d^2\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}}+\frac{32\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{-a^3\,d^4\,f\,16{}\mathrm{i}-a^3\,c^2\,d^2\,f\,16{}\mathrm{i}+\frac{a^3\,c^2\,d^4\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a^3\,c^4\,d^2\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a\,c\,d^4\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}+\frac{a\,c^3\,d^2\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,a^2\,d^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{a^3\,d^2\,16{}\mathrm{i}}{f}-\frac{a^3\,c^2\,d^2\,f^3\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a\,c\,d^2\,f^2\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}}+\frac{8\,c\,d^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,a^4\,d^2\,f^4}}{a^3\,d^4\,f\,16{}\mathrm{i}+a^3\,c^2\,d^2\,f\,16{}\mathrm{i}-\frac{a^3\,c^2\,d^4\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}-\frac{a^3\,c^4\,d^2\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a\,c\,d^4\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}+\frac{a\,c^3\,d^2\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}}-\frac{32\,a^2\,c^2\,d^2\,f^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{a^3\,d^4\,f\,16{}\mathrm{i}+a^3\,c^2\,d^2\,f\,16{}\mathrm{i}-\frac{a^3\,c^2\,d^4\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}-\frac{a^3\,c^4\,d^2\,f^5\,16{}\mathrm{i}}{c^2\,f^4+d^2\,f^4}+\frac{a\,c\,d^4\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}+\frac{a\,c^3\,d^2\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}\,4{}\mathrm{i}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}","Not used",1,"2*atanh((8*c*d^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*a^4*d^2*f^4)^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) - (32*a^2*d^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^3*f^3)/(c^2*f^4 + d^2*f^4) + (4*a*d^3*f^2*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) + (32*a^2*c^2*d^2*f^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)))*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2) - 2*atanh((32*a^2*d^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^3*f^3)/(c^2*f^4 + d^2*f^4) - (4*a*d^3*f^2*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) + (8*c*d^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*a^4*d^2*f^4)^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) - (32*a^2*c^2*d^2*f^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)))*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2) - 2*atanh((8*c*d^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*a^4*d^2*f^4)^(1/2))/((a^3*c^2*d^4*f^5*16i)/(c^2*f^4 + d^2*f^4) - a^3*c^2*d^2*f*16i - a^3*d^4*f*16i + (a^3*c^4*d^2*f^5*16i)/(c^2*f^4 + d^2*f^4) + (a*c*d^4*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5) + (a*c^3*d^2*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5)) - (32*a^2*d^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((a^3*c^2*d^2*f^3*16i)/(c^2*f^4 + d^2*f^4) - (a^3*d^2*16i)/f + (a*c*d^2*f^2*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5)) + (32*a^2*c^2*d^2*f^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((a^3*c^2*d^4*f^5*16i)/(c^2*f^4 + d^2*f^4) - a^3*c^2*d^2*f*16i - a^3*d^4*f*16i + (a^3*c^4*d^2*f^5*16i)/(c^2*f^4 + d^2*f^4) + (a*c*d^4*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5) + (a*c^3*d^2*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5)))*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2) - 2*atanh((32*a^2*d^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((a^3*d^2*16i)/f - (a^3*c^2*d^2*f^3*16i)/(c^2*f^4 + d^2*f^4) + (a*c*d^2*f^2*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5)) + (8*c*d^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*a^4*d^2*f^4)^(1/2))/(a^3*d^4*f*16i + a^3*c^2*d^2*f*16i - (a^3*c^2*d^4*f^5*16i)/(c^2*f^4 + d^2*f^4) - (a^3*c^4*d^2*f^5*16i)/(c^2*f^4 + d^2*f^4) + (a*c*d^4*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5) + (a*c^3*d^2*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5)) - (32*a^2*c^2*d^2*f^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/(a^3*d^4*f*16i + a^3*c^2*d^2*f*16i - (a^3*c^2*d^4*f^5*16i)/(c^2*f^4 + d^2*f^4) - (a^3*c^4*d^2*f^5*16i)/(c^2*f^4 + d^2*f^4) + (a*c*d^4*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5) + (a*c^3*d^2*f^4*(-16*a^4*d^2*f^4)^(1/2)*4i)/(c^2*f^5 + d^2*f^5)))*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)","B"
1122,1,12379,155,8.305610,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^(1/2)),x)","\ln\left(-\left(\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}-a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(24\,a^3\,d^7\,f^3+a^3\,c\,d^6\,f^3\,16{}\mathrm{i}+32\,a^3\,c^2\,d^5\,f^3+a^3\,c^3\,d^4\,f^3\,16{}\mathrm{i}+8\,a^3\,c^4\,d^3\,f^3-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^2\,c^3\,d^2\,f^2+a^2\,c^2\,d^3\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^4\,f^2\right)\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}-a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}\right)-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^2\,d^2+c\,d^3\,6{}\mathrm{i}-5\,d^4\right)\right)\,\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}-a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{3\,a\,c\,d^5\,f}{2}-\frac{a\,c^3\,d^3\,f}{2}+a\,d^6\,f\,1{}\mathrm{i}\right)\,\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}-a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(-\left(\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}+a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(24\,a^3\,d^7\,f^3+a^3\,c\,d^6\,f^3\,16{}\mathrm{i}+32\,a^3\,c^2\,d^5\,f^3+a^3\,c^3\,d^4\,f^3\,16{}\mathrm{i}+8\,a^3\,c^4\,d^3\,f^3-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^2\,c^3\,d^2\,f^2+a^2\,c^2\,d^3\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^4\,f^2\right)\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}+a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}\right)-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^2\,d^2+c\,d^3\,6{}\mathrm{i}-5\,d^4\right)\right)\,\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}+a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{3\,a\,c\,d^5\,f}{2}-\frac{a\,c^3\,d^3\,f}{2}+a\,d^6\,f\,1{}\mathrm{i}\right)\,\sqrt{-\frac{c\,d^6\,48{}\mathrm{i}+48\,d^7+96\,c^2\,d^5-c^3\,d^4\,32{}\mathrm{i}+a^2\,c^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^2\,d^2\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-2\,a^2\,c\,d\,f^2\,\sqrt{{\left(\frac{32\,c^5\,d^4+112\,c^3\,d^6+144\,c\,d^8}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}+\frac{\left(32\,c^4\,d^5+48\,c^2\,d^7-48\,d^9\right)\,1{}\mathrm{i}}{a^2\,c^4\,f^2+2\,a^2\,c^2\,d^2\,f^2+a^2\,d^4\,f^2}\right)}^2-4\,\left(\frac{c^4\,d^4+3\,c^2\,d^6+4\,d^8}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}+\frac{\left(2\,c^3\,d^5+4\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^4\,f^4+2\,a^4\,c^2\,d^2\,f^4+a^4\,d^4\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^2\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d\,f^2+a^2\,d^2\,f^2\,1{}\mathrm{i}\right)}}-\ln\left(-\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4+a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}\,\left(\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4+a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}\,\left(24\,a^3\,d^7\,f^3+a^3\,c\,d^6\,f^3\,16{}\mathrm{i}+32\,a^3\,c^2\,d^5\,f^3+a^3\,c^3\,d^4\,f^3\,16{}\mathrm{i}+8\,a^3\,c^4\,d^3\,f^3+2\,\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4+a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^2\,c^3\,d^2\,f^2+a^2\,c^2\,d^3\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^4\,f^2\right)\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\right)+2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^2\,d^2+c\,d^3\,6{}\mathrm{i}-5\,d^4\right)\right)-\frac{3\,a\,c\,d^5\,f}{2}-\frac{a\,c^3\,d^3\,f}{2}+a\,d^6\,f\,1{}\mathrm{i}\right)\,\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4+a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}+2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}-\ln\left(-\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4-a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}\,\left(\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4-a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}\,\left(24\,a^3\,d^7\,f^3+a^3\,c\,d^6\,f^3\,16{}\mathrm{i}+32\,a^3\,c^2\,d^5\,f^3+a^3\,c^3\,d^4\,f^3\,16{}\mathrm{i}+8\,a^3\,c^4\,d^3\,f^3+2\,\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4-a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^2\,c^3\,d^2\,f^2+a^2\,c^2\,d^3\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^4\,f^2\right)\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\right)+2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^2\,d^2+c\,d^3\,6{}\mathrm{i}-5\,d^4\right)\right)-\frac{3\,a\,c\,d^5\,f}{2}-\frac{a\,c^3\,d^3\,f}{2}+a\,d^6\,f\,1{}\mathrm{i}\right)\,\sqrt{-\frac{144\,c\,d^8-d^9\,48{}\mathrm{i}+c^2\,d^7\,48{}\mathrm{i}+112\,c^3\,d^6+c^4\,d^5\,32{}\mathrm{i}+32\,c^5\,d^4-a^2\,c^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-a^2\,d^4\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}-2\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{-2304\,c^6\,d^{12}+c^5\,d^{13}\,1536{}\mathrm{i}-10496\,c^4\,d^{14}+c^3\,d^{15}\,11264{}\mathrm{i}-9984\,c^2\,d^{16}+c\,d^{17}\,17920{}\mathrm{i}+6400\,d^{18}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}}}{512\,a^2\,c^6\,d^4\,f^2+1536\,a^2\,c^4\,d^6\,f^2+1536\,a^2\,c^2\,d^8\,f^2+512\,a^2\,d^{10}\,f^2}}-\frac{d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}}{2\,a\,f\,\left(-d\,\mathrm{tan}\left(e+f\,x\right)+d\,1{}\mathrm{i}\right)\,\left(-d+c\,1{}\mathrm{i}\right)}","Not used",1,"log(a*d^6*f*1i - ((-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i - a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2)*(24*a^3*d^7*f^3 + a^3*c*d^6*f^3*16i + 32*a^3*c^2*d^5*f^3 + a^3*c^3*d^4*f^3*16i + 8*a^3*c^4*d^3*f^3 - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*c^2*d^3*f^2*64i - 32*a^2*c*d^4*f^2 + 32*a^2*c^3*d^2*f^2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i - a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2)) - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^3*6i - 5*d^4 + 2*c^2*d^2))*(-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i - a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2) - (3*a*c*d^5*f)/2 - (a*c^3*d^3*f)/2)*(-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i - a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2) + log(a*d^6*f*1i - ((-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i + a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2)*(24*a^3*d^7*f^3 + a^3*c*d^6*f^3*16i + 32*a^3*c^2*d^5*f^3 + a^3*c^3*d^4*f^3*16i + 8*a^3*c^4*d^3*f^3 - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*c^2*d^3*f^2*64i - 32*a^2*c*d^4*f^2 + 32*a^2*c^3*d^2*f^2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i + a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2)) - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^3*6i - 5*d^4 + 2*c^2*d^2))*(-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i + a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2) - (3*a*c*d^5*f)/2 - (a*c^3*d^3*f)/2)*(-(c*d^6*48i + 48*d^7 + 96*c^2*d^5 - c^3*d^4*32i + a^2*c^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^2*d^2*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - 2*a^2*c*d*f^2*((((48*c^2*d^7 - 48*d^9 + 32*c^4*d^5)*1i)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2) + (144*c*d^8 + 112*c^3*d^6 + 32*c^5*d^4)/(a^2*c^4*f^2 + a^2*d^4*f^2 + 2*a^2*c^2*d^2*f^2))^2 - 4*((4*d^8 + 3*c^2*d^6 + c^4*d^4)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4) + ((4*c*d^7 + 2*c^3*d^5)*1i)/(a^4*c^4*f^4 + a^4*d^4*f^4 + 2*a^4*c^2*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(a^2*d^2*f^2*1i - a^2*c^2*f^2*1i + 2*a^2*c*d*f^2)))^(1/2) - log(a*d^6*f*1i - (-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 + a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2)*((-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 + a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2)*(24*a^3*d^7*f^3 + a^3*c*d^6*f^3*16i + 32*a^3*c^2*d^5*f^3 + a^3*c^3*d^4*f^3*16i + 8*a^3*c^4*d^3*f^3 + 2*(-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 + a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^2*c^2*d^3*f^2*64i - 32*a^2*c*d^4*f^2 + 32*a^2*c^3*d^2*f^2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)) + 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^3*6i - 5*d^4 + 2*c^2*d^2)) - (3*a*c*d^5*f)/2 - (a*c^3*d^3*f)/2)*(-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 + a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) + 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2) - log(a*d^6*f*1i - (-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 - a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2)*((-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 - a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2)*(24*a^3*d^7*f^3 + a^3*c*d^6*f^3*16i + 32*a^3*c^2*d^5*f^3 + a^3*c^3*d^4*f^3*16i + 8*a^3*c^4*d^3*f^3 + 2*(-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 - a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^2*c^2*d^3*f^2*64i - 32*a^2*c*d^4*f^2 + 32*a^2*c^3*d^2*f^2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)) + 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^3*6i - 5*d^4 + 2*c^2*d^2)) - (3*a*c*d^5*f)/2 - (a*c^3*d^3*f)/2)*(-(144*c*d^8 - d^9*48i + c^2*d^7*48i + 112*c^3*d^6 + c^4*d^5*32i + 32*c^5*d^4 - a^2*c^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - a^2*d^4*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2) - 2*a^2*c^2*d^2*f^2*(-(c*d^17*17920i + 6400*d^18 - 9984*c^2*d^16 + c^3*d^15*11264i - 10496*c^4*d^14 + c^5*d^13*1536i - 2304*c^6*d^12)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4))^(1/2))/(512*a^2*d^10*f^2 + 1536*a^2*c^2*d^8*f^2 + 1536*a^2*c^4*d^6*f^2 + 512*a^2*c^6*d^4*f^2))^(1/2) - (d*(c + d*tan(e + f*x))^(1/2)*1i)/(2*a*f*(d*1i - d*tan(e + f*x))*(c*1i - d))","B"
1123,1,32178,221,9.168750,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^(1/2)),x)","-\frac{\frac{\left(-7\,d^2+c\,d\,2{}\mathrm{i}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{8\,a^2\,f\,\left(-d+c\,1{}\mathrm{i}\right)}-\frac{d\,\left(2\,c+d\,5{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{8\,a^2\,f\,\left(c^2+c\,d\,2{}\mathrm{i}-d^2\right)}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-\left(2\,c+d\,2{}\mathrm{i}\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+c^2-d^2+c\,d\,2{}\mathrm{i}}-\ln\left(-\left(\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4+a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}\,\left(1152\,a^6\,d^{11}\,f^3-8\,\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4+a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(512\,a^4\,c^5\,d^2\,f^2+a^4\,c^4\,d^3\,f^2\,2048{}\mathrm{i}-3072\,a^4\,c^3\,d^4\,f^2-a^4\,c^2\,d^5\,f^2\,2048{}\mathrm{i}+512\,a^4\,c\,d^6\,f^2\right)\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)+2176\,a^6\,c^2\,d^9\,f^3+1152\,a^6\,c^4\,d^7\,f^3+384\,a^6\,c^6\,d^5\,f^3+256\,a^6\,c^8\,d^3\,f^3+a^6\,c\,d^{10}\,f^3\,1664{}\mathrm{i}+a^6\,c^3\,d^8\,f^3\,3456{}\mathrm{i}+a^6\,c^5\,d^6\,f^3\,1920{}\mathrm{i}+a^6\,c^7\,d^4\,f^3\,128{}\mathrm{i}\right)-8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,40{}\mathrm{i}-88\,c^2\,d^4-c\,d^5\,100{}\mathrm{i}+53\,d^6\right)\right)\,\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4+a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}-40\,a^2\,c^3\,d^7\,f-20\,a^2\,c^5\,d^5\,f-4\,a^2\,c^7\,d^3\,f-96\,a^2\,c\,d^9\,f+a^2\,d^{10}\,f\,35{}\mathrm{i}-a^2\,c^2\,d^8\,f\,56{}\mathrm{i}-a^2\,c^4\,d^6\,f\,25{}\mathrm{i}-a^2\,c^6\,d^4\,f\,6{}\mathrm{i}\right)\,\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4+a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}+4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}-\ln\left(-\left(\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4-a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}\,\left(1152\,a^6\,d^{11}\,f^3-8\,\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4-a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(512\,a^4\,c^5\,d^2\,f^2+a^4\,c^4\,d^3\,f^2\,2048{}\mathrm{i}-3072\,a^4\,c^3\,d^4\,f^2-a^4\,c^2\,d^5\,f^2\,2048{}\mathrm{i}+512\,a^4\,c\,d^6\,f^2\right)\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)+2176\,a^6\,c^2\,d^9\,f^3+1152\,a^6\,c^4\,d^7\,f^3+384\,a^6\,c^6\,d^5\,f^3+256\,a^6\,c^8\,d^3\,f^3+a^6\,c\,d^{10}\,f^3\,1664{}\mathrm{i}+a^6\,c^3\,d^8\,f^3\,3456{}\mathrm{i}+a^6\,c^5\,d^6\,f^3\,1920{}\mathrm{i}+a^6\,c^7\,d^4\,f^3\,128{}\mathrm{i}\right)-8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,40{}\mathrm{i}-88\,c^2\,d^4-c\,d^5\,100{}\mathrm{i}+53\,d^6\right)\right)\,\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4-a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}-40\,a^2\,c^3\,d^7\,f-20\,a^2\,c^5\,d^5\,f-4\,a^2\,c^7\,d^3\,f-96\,a^2\,c\,d^9\,f+a^2\,d^{10}\,f\,35{}\mathrm{i}-a^2\,c^2\,d^8\,f\,56{}\mathrm{i}-a^2\,c^4\,d^6\,f\,25{}\mathrm{i}-a^2\,c^6\,d^4\,f\,6{}\mathrm{i}\right)\,\sqrt{-\frac{165\,c\,d^{12}-d^{13}\,45{}\mathrm{i}+c^2\,d^{11}\,150{}\mathrm{i}+70\,c^3\,d^{10}+c^4\,d^9\,95{}\mathrm{i}+73\,c^5\,d^8+c^6\,d^7\,52{}\mathrm{i}+32\,c^7\,d^6+c^8\,d^5\,8{}\mathrm{i}+8\,c^9\,d^4-a^4\,c^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-a^4\,d^8\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^2\,d^6\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-6\,a^4\,c^4\,d^4\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}-4\,a^4\,c^6\,d^2\,f^2\,\sqrt{\frac{-400\,c^{12}\,d^{14}+c^{11}\,d^{15}\,1000{}\mathrm{i}-1255\,c^{10}\,d^{16}+c^9\,d^{17}\,3870{}\mathrm{i}-5029\,c^8\,d^{18}+c^7\,d^{19}\,15752{}\mathrm{i}+322\,c^6\,d^{20}+c^5\,d^{21}\,21076{}\mathrm{i}+2990\,c^4\,d^{22}+c^3\,d^{23}\,33024{}\mathrm{i}+37157\,c^2\,d^{24}-c\,d^{25}\,16642{}\mathrm{i}-2809\,d^{26}}{a^8\,c^{16}\,f^4+8\,a^8\,c^{14}\,d^2\,f^4+28\,a^8\,c^{12}\,d^4\,f^4+56\,a^8\,c^{10}\,d^6\,f^4+70\,a^8\,c^8\,d^8\,f^4+56\,a^8\,c^6\,d^{10}\,f^4+28\,a^8\,c^4\,d^{12}\,f^4+8\,a^8\,c^2\,d^{14}\,f^4+a^8\,d^{16}\,f^4}}}{512\,a^4\,c^{10}\,d^4\,f^2+2560\,a^4\,c^8\,d^6\,f^2+5120\,a^4\,c^6\,d^8\,f^2+5120\,a^4\,c^4\,d^{10}\,f^2+2560\,a^4\,c^2\,d^{12}\,f^2+512\,a^4\,d^{14}\,f^2}}+\ln\left(-\left(\sqrt{-\frac{45\,d^9-c\,d^8\,15{}\mathrm{i}+60\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-40\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(1152\,a^6\,d^{11}\,f^3+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{45\,d^9-c\,d^8\,15{}\mathrm{i}+60\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-40\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(512\,a^4\,c^5\,d^2\,f^2+a^4\,c^4\,d^3\,f^2\,2048{}\mathrm{i}-3072\,a^4\,c^3\,d^4\,f^2-a^4\,c^2\,d^5\,f^2\,2048{}\mathrm{i}+512\,a^4\,c\,d^6\,f^2\right)\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)+2176\,a^6\,c^2\,d^9\,f^3+1152\,a^6\,c^4\,d^7\,f^3+384\,a^6\,c^6\,d^5\,f^3+256\,a^6\,c^8\,d^3\,f^3+a^6\,c\,d^{10}\,f^3\,1664{}\mathrm{i}+a^6\,c^3\,d^8\,f^3\,3456{}\mathrm{i}+a^6\,c^5\,d^6\,f^3\,1920{}\mathrm{i}+a^6\,c^7\,d^4\,f^3\,128{}\mathrm{i}\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,40{}\mathrm{i}-88\,c^2\,d^4-c\,d^5\,100{}\mathrm{i}+53\,d^6\right)\right)\,\sqrt{-\frac{45\,d^9-c\,d^8\,15{}\mathrm{i}+60\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-40\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}-40\,a^2\,c^3\,d^7\,f-20\,a^2\,c^5\,d^5\,f-4\,a^2\,c^7\,d^3\,f-96\,a^2\,c\,d^9\,f+a^2\,d^{10}\,f\,35{}\mathrm{i}-a^2\,c^2\,d^8\,f\,56{}\mathrm{i}-a^2\,c^4\,d^6\,f\,25{}\mathrm{i}-a^2\,c^6\,d^4\,f\,6{}\mathrm{i}\right)\,\sqrt{-\frac{45\,d^9-c\,d^8\,15{}\mathrm{i}+60\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-40\,c^4\,d^5+c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(-\left(\sqrt{\frac{c\,d^8\,15{}\mathrm{i}-45\,d^9-60\,c^2\,d^7+c^3\,d^6\,80{}\mathrm{i}+40\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(1152\,a^6\,d^{11}\,f^3+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{c\,d^8\,15{}\mathrm{i}-45\,d^9-60\,c^2\,d^7+c^3\,d^6\,80{}\mathrm{i}+40\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(512\,a^4\,c^5\,d^2\,f^2+a^4\,c^4\,d^3\,f^2\,2048{}\mathrm{i}-3072\,a^4\,c^3\,d^4\,f^2-a^4\,c^2\,d^5\,f^2\,2048{}\mathrm{i}+512\,a^4\,c\,d^6\,f^2\right)\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)+2176\,a^6\,c^2\,d^9\,f^3+1152\,a^6\,c^4\,d^7\,f^3+384\,a^6\,c^6\,d^5\,f^3+256\,a^6\,c^8\,d^3\,f^3+a^6\,c\,d^{10}\,f^3\,1664{}\mathrm{i}+a^6\,c^3\,d^8\,f^3\,3456{}\mathrm{i}+a^6\,c^5\,d^6\,f^3\,1920{}\mathrm{i}+a^6\,c^7\,d^4\,f^3\,128{}\mathrm{i}\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(8\,c^4\,d^2+c^3\,d^3\,40{}\mathrm{i}-88\,c^2\,d^4-c\,d^5\,100{}\mathrm{i}+53\,d^6\right)\right)\,\sqrt{\frac{c\,d^8\,15{}\mathrm{i}-45\,d^9-60\,c^2\,d^7+c^3\,d^6\,80{}\mathrm{i}+40\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}-40\,a^2\,c^3\,d^7\,f-20\,a^2\,c^5\,d^5\,f-4\,a^2\,c^7\,d^3\,f-96\,a^2\,c\,d^9\,f+a^2\,d^{10}\,f\,35{}\mathrm{i}-a^2\,c^2\,d^8\,f\,56{}\mathrm{i}-a^2\,c^4\,d^6\,f\,25{}\mathrm{i}-a^2\,c^6\,d^4\,f\,6{}\mathrm{i}\right)\,\sqrt{\frac{c\,d^8\,15{}\mathrm{i}-45\,d^9-60\,c^2\,d^7+c^3\,d^6\,80{}\mathrm{i}+40\,c^4\,d^5-c^5\,d^4\,8{}\mathrm{i}+a^4\,c^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^4\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}-a^4\,c^2\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}-4\,a^4\,c^3\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{\frac{c^8\,d^4}{16}+\frac{c^6\,d^6}{8}+\frac{5\,c^4\,d^8}{64}-\frac{11\,c^2\,d^{10}}{32}+\frac{49\,d^{12}}{64}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}+\frac{\left(\frac{c^7\,d^5}{8}+\frac{11\,c^5\,d^7}{16}+\frac{19\,c^3\,d^9}{16}+\frac{7\,c\,d^{11}}{4}\right)\,1{}\mathrm{i}}{a^8\,c^8\,f^4+4\,a^8\,c^6\,d^2\,f^4+6\,a^8\,c^4\,d^4\,f^4+4\,a^8\,c^2\,d^6\,f^4+a^8\,d^8\,f^4}\right)+{\left(\frac{8\,c^9\,d^4+32\,c^7\,d^6+73\,c^5\,d^8+70\,c^3\,d^{10}+165\,c\,d^{12}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}+\frac{\left(8\,c^8\,d^5+52\,c^6\,d^7+95\,c^4\,d^9+150\,c^2\,d^{11}-45\,d^{13}\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^2+4\,a^4\,c^6\,d^2\,f^2+6\,a^4\,c^4\,d^4\,f^2+4\,a^4\,c^2\,d^6\,f^2+a^4\,d^8\,f^2}\right)}^2}}{512\,\left(c^2\,d^4+d^6\right)\,\left(a^4\,c^4\,f^2\,1{}\mathrm{i}-4\,a^4\,c^3\,d\,f^2-a^4\,c^2\,d^2\,f^2\,6{}\mathrm{i}+4\,a^4\,c\,d^3\,f^2+a^4\,d^4\,f^2\,1{}\mathrm{i}\right)}}","Not used",1,"log(a^2*d^10*f*35i - ((-(45*d^9 - c*d^8*15i + 60*c^2*d^7 - c^3*d^6*80i - 40*c^4*d^5 + c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2)*(1152*a^6*d^11*f^3 + a^6*c*d^10*f^3*1664i + 8*(c + d*tan(e + f*x))^(1/2)*(-(45*d^9 - c*d^8*15i + 60*c^2*d^7 - c^3*d^6*80i - 40*c^4*d^5 + c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2)*(512*a^4*c*d^6*f^2 - a^4*c^2*d^5*f^2*2048i - 3072*a^4*c^3*d^4*f^2 + a^4*c^4*d^3*f^2*2048i + 512*a^4*c^5*d^2*f^2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2) + 2176*a^6*c^2*d^9*f^3 + a^6*c^3*d^8*f^3*3456i + 1152*a^6*c^4*d^7*f^3 + a^6*c^5*d^6*f^3*1920i + 384*a^6*c^6*d^5*f^3 + a^6*c^7*d^4*f^3*128i + 256*a^6*c^8*d^3*f^3) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(53*d^6 - c*d^5*100i - 88*c^2*d^4 + c^3*d^3*40i + 8*c^4*d^2))*(-(45*d^9 - c*d^8*15i + 60*c^2*d^7 - c^3*d^6*80i - 40*c^4*d^5 + c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2) - a^2*c^2*d^8*f*56i - 40*a^2*c^3*d^7*f - a^2*c^4*d^6*f*25i - 20*a^2*c^5*d^5*f - a^2*c^6*d^4*f*6i - 4*a^2*c^7*d^3*f - 96*a^2*c*d^9*f)*(-(45*d^9 - c*d^8*15i + 60*c^2*d^7 - c^3*d^6*80i - 40*c^4*d^5 + c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2) - log(a^2*d^10*f*35i - ((-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 + a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2)*(1152*a^6*d^11*f^3 + a^6*c*d^10*f^3*1664i - 8*(-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 + a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^4*c*d^6*f^2 - a^4*c^2*d^5*f^2*2048i - 3072*a^4*c^3*d^4*f^2 + a^4*c^4*d^3*f^2*2048i + 512*a^4*c^5*d^2*f^2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2) + 2176*a^6*c^2*d^9*f^3 + a^6*c^3*d^8*f^3*3456i + 1152*a^6*c^4*d^7*f^3 + a^6*c^5*d^6*f^3*1920i + 384*a^6*c^6*d^5*f^3 + a^6*c^7*d^4*f^3*128i + 256*a^6*c^8*d^3*f^3) - 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(53*d^6 - c*d^5*100i - 88*c^2*d^4 + c^3*d^3*40i + 8*c^4*d^2))*(-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 + a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2) - a^2*c^2*d^8*f*56i - 40*a^2*c^3*d^7*f - a^2*c^4*d^6*f*25i - 20*a^2*c^5*d^5*f - a^2*c^6*d^4*f*6i - 4*a^2*c^7*d^3*f - 96*a^2*c*d^9*f)*(-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 + a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) + 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2) - log(a^2*d^10*f*35i - ((-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 - a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2)*(1152*a^6*d^11*f^3 + a^6*c*d^10*f^3*1664i - 8*(-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 - a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^4*c*d^6*f^2 - a^4*c^2*d^5*f^2*2048i - 3072*a^4*c^3*d^4*f^2 + a^4*c^4*d^3*f^2*2048i + 512*a^4*c^5*d^2*f^2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2) + 2176*a^6*c^2*d^9*f^3 + a^6*c^3*d^8*f^3*3456i + 1152*a^6*c^4*d^7*f^3 + a^6*c^5*d^6*f^3*1920i + 384*a^6*c^6*d^5*f^3 + a^6*c^7*d^4*f^3*128i + 256*a^6*c^8*d^3*f^3) - 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(53*d^6 - c*d^5*100i - 88*c^2*d^4 + c^3*d^3*40i + 8*c^4*d^2))*(-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 - a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2) - a^2*c^2*d^8*f*56i - 40*a^2*c^3*d^7*f - a^2*c^4*d^6*f*25i - 20*a^2*c^5*d^5*f - a^2*c^6*d^4*f*6i - 4*a^2*c^7*d^3*f - 96*a^2*c*d^9*f)*(-(165*c*d^12 - d^13*45i + c^2*d^11*150i + 70*c^3*d^10 + c^4*d^9*95i + 73*c^5*d^8 + c^6*d^7*52i + 32*c^7*d^6 + c^8*d^5*8i + 8*c^9*d^4 - a^4*c^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - a^4*d^8*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^2*d^6*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 6*a^4*c^4*d^4*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2) - 4*a^4*c^6*d^2*f^2*((37157*c^2*d^24 - 2809*d^26 - c*d^25*16642i + c^3*d^23*33024i + 2990*c^4*d^22 + c^5*d^21*21076i + 322*c^6*d^20 + c^7*d^19*15752i - 5029*c^8*d^18 + c^9*d^17*3870i - 1255*c^10*d^16 + c^11*d^15*1000i - 400*c^12*d^14)/(a^8*c^16*f^4 + a^8*d^16*f^4 + 8*a^8*c^2*d^14*f^4 + 28*a^8*c^4*d^12*f^4 + 56*a^8*c^6*d^10*f^4 + 70*a^8*c^8*d^8*f^4 + 56*a^8*c^10*d^6*f^4 + 28*a^8*c^12*d^4*f^4 + 8*a^8*c^14*d^2*f^4))^(1/2))/(512*a^4*d^14*f^2 + 2560*a^4*c^2*d^12*f^2 + 5120*a^4*c^4*d^10*f^2 + 5120*a^4*c^6*d^8*f^2 + 2560*a^4*c^8*d^6*f^2 + 512*a^4*c^10*d^4*f^2))^(1/2) - (((c*d*2i - 7*d^2)*(c + d*tan(e + f*x))^(1/2))/(8*a^2*f*(c*1i - d)) - (d*(2*c + d*5i)*(c + d*tan(e + f*x))^(3/2))/(8*a^2*f*(c*d*2i + c^2 - d^2)))/(c*d*2i - (2*c + d*2i)*(c + d*tan(e + f*x)) + (c + d*tan(e + f*x))^2 + c^2 - d^2) + log(a^2*d^10*f*35i - (((c*d^8*15i - 45*d^9 - 60*c^2*d^7 + c^3*d^6*80i + 40*c^4*d^5 - c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2)*(1152*a^6*d^11*f^3 + a^6*c*d^10*f^3*1664i + 8*(c + d*tan(e + f*x))^(1/2)*((c*d^8*15i - 45*d^9 - 60*c^2*d^7 + c^3*d^6*80i + 40*c^4*d^5 - c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2)*(512*a^4*c*d^6*f^2 - a^4*c^2*d^5*f^2*2048i - 3072*a^4*c^3*d^4*f^2 + a^4*c^4*d^3*f^2*2048i + 512*a^4*c^5*d^2*f^2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2) + 2176*a^6*c^2*d^9*f^3 + a^6*c^3*d^8*f^3*3456i + 1152*a^6*c^4*d^7*f^3 + a^6*c^5*d^6*f^3*1920i + 384*a^6*c^6*d^5*f^3 + a^6*c^7*d^4*f^3*128i + 256*a^6*c^8*d^3*f^3) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(53*d^6 - c*d^5*100i - 88*c^2*d^4 + c^3*d^3*40i + 8*c^4*d^2))*((c*d^8*15i - 45*d^9 - 60*c^2*d^7 + c^3*d^6*80i + 40*c^4*d^5 - c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2) - a^2*c^2*d^8*f*56i - 40*a^2*c^3*d^7*f - a^2*c^4*d^6*f*25i - 20*a^2*c^5*d^5*f - a^2*c^6*d^4*f*6i - 4*a^2*c^7*d^3*f - 96*a^2*c*d^9*f)*((c*d^8*15i - 45*d^9 - 60*c^2*d^7 + c^3*d^6*80i + 40*c^4*d^5 - c^5*d^4*8i + a^4*c^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i + a^4*d^4*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*1i - a^4*c^2*d^2*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2)*6i + 4*a^4*c*d^3*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2) - 4*a^4*c^3*d*f^2*(((165*c*d^12 + 70*c^3*d^10 + 73*c^5*d^8 + 32*c^7*d^6 + 8*c^9*d^4)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2) + ((150*c^2*d^11 - 45*d^13 + 95*c^4*d^9 + 52*c^6*d^7 + 8*c^8*d^5)*1i)/(a^4*c^8*f^2 + a^4*d^8*f^2 + 4*a^4*c^2*d^6*f^2 + 6*a^4*c^4*d^4*f^2 + 4*a^4*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*((((7*c*d^11)/4 + (19*c^3*d^9)/16 + (11*c^5*d^7)/16 + (c^7*d^5)/8)*1i)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4) + ((49*d^12)/64 - (11*c^2*d^10)/32 + (5*c^4*d^8)/64 + (c^6*d^6)/8 + (c^8*d^4)/16)/(a^8*c^8*f^4 + a^8*d^8*f^4 + 4*a^8*c^2*d^6*f^4 + 6*a^8*c^4*d^4*f^4 + 4*a^8*c^6*d^2*f^4)))^(1/2))/(512*(d^6 + c^2*d^4)*(a^4*c^4*f^2*1i + a^4*d^4*f^2*1i + 4*a^4*c*d^3*f^2 - 4*a^4*c^3*d*f^2 - a^4*c^2*d^2*f^2*6i)))^(1/2)","B"
1124,1,60949,298,11.141504,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^(1/2)),x)","\ln\left(516\,a^3\,c^3\,d^{11}\,f-\left(\sqrt{-\frac{140\,d^{11}-c\,d^{10}\,140{}\mathrm{i}+35\,c^2\,d^9-c^3\,d^8\,245{}\mathrm{i}-280\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{140\,d^{11}-c\,d^{10}\,140{}\mathrm{i}+35\,c^2\,d^9-c^3\,d^8\,245{}\mathrm{i}-280\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(65536\,a^{12}\,c^{13}\,d^2\,f^4+393216\,a^{12}\,c^{11}\,d^4\,f^4+983040\,a^{12}\,c^9\,d^6\,f^4+1310720\,a^{12}\,c^7\,d^8\,f^4+983040\,a^{12}\,c^5\,d^{10}\,f^4+393216\,a^{12}\,c^3\,d^{12}\,f^4+65536\,a^{12}\,c\,d^{14}\,f^4\right)+14336\,a^9\,d^{15}\,f^3+20480\,a^9\,c^2\,d^{13}\,f^3-18432\,a^9\,c^4\,d^{11}\,f^3-32768\,a^9\,c^6\,d^9\,f^3+2048\,a^9\,c^8\,d^7\,f^3+12288\,a^9\,c^{10}\,d^5\,f^3+2048\,a^9\,c^{12}\,d^3\,f^3+a^9\,c\,d^{14}\,f^3\,33792{}\mathrm{i}+a^9\,c^3\,d^{12}\,f^3\,95232{}\mathrm{i}+a^9\,c^5\,d^{10}\,f^3\,83968{}\mathrm{i}+a^9\,c^7\,d^8\,f^3\,18432{}\mathrm{i}-a^9\,c^9\,d^6\,f^3\,3072{}\mathrm{i}+a^9\,c^{11}\,d^4\,f^3\,1024{}\mathrm{i}\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^6\,c^{12}\,d^2\,f^2+a^6\,c^{11}\,d^3\,f^2\,256{}\mathrm{i}+1280\,a^6\,c^{10}\,d^4\,f^2+a^6\,c^9\,d^5\,f^2\,1280{}\mathrm{i}+1440\,a^6\,c^8\,d^6\,f^2+a^6\,c^7\,d^7\,f^2\,3904{}\mathrm{i}-1248\,a^6\,c^6\,d^8\,f^2+a^6\,c^5\,d^9\,f^2\,7296{}\mathrm{i}-800\,a^6\,c^4\,d^{10}\,f^2-a^6\,c^3\,d^{11}\,f^2\,3520{}\mathrm{i}-20000\,a^6\,c^2\,d^{12}\,f^2+a^6\,c\,d^{13}\,f^2\,17664{}\mathrm{i}+4736\,a^6\,d^{14}\,f^2\right)\right)\,\sqrt{-\frac{140\,d^{11}-c\,d^{10}\,140{}\mathrm{i}+35\,c^2\,d^9-c^3\,d^8\,245{}\mathrm{i}-280\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}-112\,a^3\,c^5\,d^9\,f-68\,a^3\,c^7\,d^7\,f-36\,a^3\,c^9\,d^5\,f-8\,a^3\,c^{11}\,d^3\,f-1012\,a^3\,c\,d^{13}\,f+a^3\,d^{14}\,f\,240{}\mathrm{i}-a^3\,c^2\,d^{12}\,f\,1422{}\mathrm{i}-a^3\,c^4\,d^{10}\,f\,274{}\mathrm{i}-a^3\,c^6\,d^8\,f\,294{}\mathrm{i}-a^3\,c^8\,d^6\,f\,94{}\mathrm{i}-a^3\,c^{10}\,d^4\,f\,12{}\mathrm{i}\right)\,\sqrt{-\frac{140\,d^{11}-c\,d^{10}\,140{}\mathrm{i}+35\,c^2\,d^9-c^3\,d^8\,245{}\mathrm{i}-280\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(516\,a^3\,c^3\,d^{11}\,f-\left(\sqrt{\frac{c\,d^{10}\,140{}\mathrm{i}-140\,d^{11}-35\,c^2\,d^9+c^3\,d^8\,245{}\mathrm{i}+280\,c^4\,d^7-c^5\,d^6\,168{}\mathrm{i}-56\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{c\,d^{10}\,140{}\mathrm{i}-140\,d^{11}-35\,c^2\,d^9+c^3\,d^8\,245{}\mathrm{i}+280\,c^4\,d^7-c^5\,d^6\,168{}\mathrm{i}-56\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(65536\,a^{12}\,c^{13}\,d^2\,f^4+393216\,a^{12}\,c^{11}\,d^4\,f^4+983040\,a^{12}\,c^9\,d^6\,f^4+1310720\,a^{12}\,c^7\,d^8\,f^4+983040\,a^{12}\,c^5\,d^{10}\,f^4+393216\,a^{12}\,c^3\,d^{12}\,f^4+65536\,a^{12}\,c\,d^{14}\,f^4\right)+14336\,a^9\,d^{15}\,f^3+20480\,a^9\,c^2\,d^{13}\,f^3-18432\,a^9\,c^4\,d^{11}\,f^3-32768\,a^9\,c^6\,d^9\,f^3+2048\,a^9\,c^8\,d^7\,f^3+12288\,a^9\,c^{10}\,d^5\,f^3+2048\,a^9\,c^{12}\,d^3\,f^3+a^9\,c\,d^{14}\,f^3\,33792{}\mathrm{i}+a^9\,c^3\,d^{12}\,f^3\,95232{}\mathrm{i}+a^9\,c^5\,d^{10}\,f^3\,83968{}\mathrm{i}+a^9\,c^7\,d^8\,f^3\,18432{}\mathrm{i}-a^9\,c^9\,d^6\,f^3\,3072{}\mathrm{i}+a^9\,c^{11}\,d^4\,f^3\,1024{}\mathrm{i}\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^6\,c^{12}\,d^2\,f^2+a^6\,c^{11}\,d^3\,f^2\,256{}\mathrm{i}+1280\,a^6\,c^{10}\,d^4\,f^2+a^6\,c^9\,d^5\,f^2\,1280{}\mathrm{i}+1440\,a^6\,c^8\,d^6\,f^2+a^6\,c^7\,d^7\,f^2\,3904{}\mathrm{i}-1248\,a^6\,c^6\,d^8\,f^2+a^6\,c^5\,d^9\,f^2\,7296{}\mathrm{i}-800\,a^6\,c^4\,d^{10}\,f^2-a^6\,c^3\,d^{11}\,f^2\,3520{}\mathrm{i}-20000\,a^6\,c^2\,d^{12}\,f^2+a^6\,c\,d^{13}\,f^2\,17664{}\mathrm{i}+4736\,a^6\,d^{14}\,f^2\right)\right)\,\sqrt{\frac{c\,d^{10}\,140{}\mathrm{i}-140\,d^{11}-35\,c^2\,d^9+c^3\,d^8\,245{}\mathrm{i}+280\,c^4\,d^7-c^5\,d^6\,168{}\mathrm{i}-56\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}-112\,a^3\,c^5\,d^9\,f-68\,a^3\,c^7\,d^7\,f-36\,a^3\,c^9\,d^5\,f-8\,a^3\,c^{11}\,d^3\,f-1012\,a^3\,c\,d^{13}\,f+a^3\,d^{14}\,f\,240{}\mathrm{i}-a^3\,c^2\,d^{12}\,f\,1422{}\mathrm{i}-a^3\,c^4\,d^{10}\,f\,274{}\mathrm{i}-a^3\,c^6\,d^8\,f\,294{}\mathrm{i}-a^3\,c^8\,d^6\,f\,94{}\mathrm{i}-a^3\,c^{10}\,d^4\,f\,12{}\mathrm{i}\right)\,\sqrt{\frac{c\,d^{10}\,140{}\mathrm{i}-140\,d^{11}-35\,c^2\,d^9+c^3\,d^8\,245{}\mathrm{i}+280\,c^4\,d^7-c^5\,d^6\,168{}\mathrm{i}-56\,c^6\,d^5+c^7\,d^4\,8{}\mathrm{i}-a^6\,c^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^6\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^5\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+24\,a^6\,c^5\,d\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}-a^6\,c^2\,d^4\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}-80\,a^6\,c^3\,d^3\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}+a^6\,c^4\,d^2\,f^2\,\sqrt{4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{-\frac{c^{12}\,d^4}{256}-\frac{c^{10}\,d^6}{64}+\frac{15\,c^8\,d^8}{1024}+\frac{119\,c^6\,d^{10}}{1024}+\frac{85\,c^4\,d^{12}}{1024}+\frac{649\,c^2\,d^{14}}{1024}-\frac{9\,d^{16}}{64}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}-\frac{\left(\frac{c^{11}\,d^5}{128}+\frac{5\,c^9\,d^7}{128}+\frac{61\,c^7\,d^9}{512}+\frac{57\,c^5\,d^{11}}{256}-\frac{55\,c^3\,d^{13}}{512}+\frac{69\,c\,d^{15}}{128}\right)\,1{}\mathrm{i}}{a^{12}\,c^{12}\,f^4+6\,a^{12}\,c^{10}\,d^2\,f^4+15\,a^{12}\,c^8\,d^4\,f^4+20\,a^{12}\,c^6\,d^6\,f^4+15\,a^{12}\,c^4\,d^8\,f^4+6\,a^{12}\,c^2\,d^{10}\,f^4+a^{12}\,d^{12}\,f^4}\right)+{\left(\frac{2\,c^{13}\,d^4+12\,c^{11}\,d^6+\frac{85\,c^9\,d^8}{4}+\frac{83\,c^7\,d^{10}}{4}+\frac{203\,c^5\,d^{12}}{4}-\frac{735\,c^3\,d^{14}}{4}+175\,c\,d^{16}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}+\frac{\left(2\,c^{12}\,d^5+12\,c^{10}\,d^7+\frac{197\,c^8\,d^9}{4}+\frac{427\,c^6\,d^{11}}{4}+\frac{35\,c^4\,d^{13}}{4}+\frac{1225\,c^2\,d^{15}}{4}-35\,d^{17}\right)\,1{}\mathrm{i}}{a^6\,c^{12}\,f^2+6\,a^6\,c^{10}\,d^2\,f^2+15\,a^6\,c^8\,d^4\,f^2+20\,a^6\,c^6\,d^6\,f^2+15\,a^6\,c^4\,d^8\,f^2+6\,a^6\,c^2\,d^{10}\,f^2+a^6\,d^{12}\,f^2}\right)}^2}\,60{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(-a^6\,c^6\,f^2\,1{}\mathrm{i}+6\,a^6\,c^5\,d\,f^2+a^6\,c^4\,d^2\,f^2\,15{}\mathrm{i}-20\,a^6\,c^3\,d^3\,f^2-a^6\,c^2\,d^4\,f^2\,15{}\mathrm{i}+6\,a^6\,c\,d^5\,f^2+a^6\,d^6\,f^2\,1{}\mathrm{i}\right)}}-\ln\left(\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^6\,c^{12}\,d^2\,f^2+a^6\,c^{11}\,d^3\,f^2\,256{}\mathrm{i}+1280\,a^6\,c^{10}\,d^4\,f^2+a^6\,c^9\,d^5\,f^2\,1280{}\mathrm{i}+1440\,a^6\,c^8\,d^6\,f^2+a^6\,c^7\,d^7\,f^2\,3904{}\mathrm{i}-1248\,a^6\,c^6\,d^8\,f^2+a^6\,c^5\,d^9\,f^2\,7296{}\mathrm{i}-800\,a^6\,c^4\,d^{10}\,f^2-a^6\,c^3\,d^{11}\,f^2\,3520{}\mathrm{i}-20000\,a^6\,c^2\,d^{12}\,f^2+a^6\,c\,d^{13}\,f^2\,17664{}\mathrm{i}+4736\,a^6\,d^{14}\,f^2\right)-\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4-4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}\,\left(14336\,a^9\,d^{15}\,f^3-\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4-4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(65536\,a^{12}\,c^{13}\,d^2\,f^4+393216\,a^{12}\,c^{11}\,d^4\,f^4+983040\,a^{12}\,c^9\,d^6\,f^4+1310720\,a^{12}\,c^7\,d^8\,f^4+983040\,a^{12}\,c^5\,d^{10}\,f^4+393216\,a^{12}\,c^3\,d^{12}\,f^4+65536\,a^{12}\,c\,d^{14}\,f^4\right)+20480\,a^9\,c^2\,d^{13}\,f^3-18432\,a^9\,c^4\,d^{11}\,f^3-32768\,a^9\,c^6\,d^9\,f^3+2048\,a^9\,c^8\,d^7\,f^3+12288\,a^9\,c^{10}\,d^5\,f^3+2048\,a^9\,c^{12}\,d^3\,f^3+a^9\,c\,d^{14}\,f^3\,33792{}\mathrm{i}+a^9\,c^3\,d^{12}\,f^3\,95232{}\mathrm{i}+a^9\,c^5\,d^{10}\,f^3\,83968{}\mathrm{i}+a^9\,c^7\,d^8\,f^3\,18432{}\mathrm{i}-a^9\,c^9\,d^6\,f^3\,3072{}\mathrm{i}+a^9\,c^{11}\,d^4\,f^3\,1024{}\mathrm{i}\right)\right)\,\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4-4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}+516\,a^3\,c^3\,d^{11}\,f-112\,a^3\,c^5\,d^9\,f-68\,a^3\,c^7\,d^7\,f-36\,a^3\,c^9\,d^5\,f-8\,a^3\,c^{11}\,d^3\,f-1012\,a^3\,c\,d^{13}\,f+a^3\,d^{14}\,f\,240{}\mathrm{i}-a^3\,c^2\,d^{12}\,f\,1422{}\mathrm{i}-a^3\,c^4\,d^{10}\,f\,274{}\mathrm{i}-a^3\,c^6\,d^8\,f\,294{}\mathrm{i}-a^3\,c^8\,d^6\,f\,94{}\mathrm{i}-a^3\,c^{10}\,d^4\,f\,12{}\mathrm{i}\right)\,\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4-4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}-24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}-\ln\left(\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^6\,c^{12}\,d^2\,f^2+a^6\,c^{11}\,d^3\,f^2\,256{}\mathrm{i}+1280\,a^6\,c^{10}\,d^4\,f^2+a^6\,c^9\,d^5\,f^2\,1280{}\mathrm{i}+1440\,a^6\,c^8\,d^6\,f^2+a^6\,c^7\,d^7\,f^2\,3904{}\mathrm{i}-1248\,a^6\,c^6\,d^8\,f^2+a^6\,c^5\,d^9\,f^2\,7296{}\mathrm{i}-800\,a^6\,c^4\,d^{10}\,f^2-a^6\,c^3\,d^{11}\,f^2\,3520{}\mathrm{i}-20000\,a^6\,c^2\,d^{12}\,f^2+a^6\,c\,d^{13}\,f^2\,17664{}\mathrm{i}+4736\,a^6\,d^{14}\,f^2\right)-\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4+4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}\,\left(14336\,a^9\,d^{15}\,f^3-\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4+4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(65536\,a^{12}\,c^{13}\,d^2\,f^4+393216\,a^{12}\,c^{11}\,d^4\,f^4+983040\,a^{12}\,c^9\,d^6\,f^4+1310720\,a^{12}\,c^7\,d^8\,f^4+983040\,a^{12}\,c^5\,d^{10}\,f^4+393216\,a^{12}\,c^3\,d^{12}\,f^4+65536\,a^{12}\,c\,d^{14}\,f^4\right)+20480\,a^9\,c^2\,d^{13}\,f^3-18432\,a^9\,c^4\,d^{11}\,f^3-32768\,a^9\,c^6\,d^9\,f^3+2048\,a^9\,c^8\,d^7\,f^3+12288\,a^9\,c^{10}\,d^5\,f^3+2048\,a^9\,c^{12}\,d^3\,f^3+a^9\,c\,d^{14}\,f^3\,33792{}\mathrm{i}+a^9\,c^3\,d^{12}\,f^3\,95232{}\mathrm{i}+a^9\,c^5\,d^{10}\,f^3\,83968{}\mathrm{i}+a^9\,c^7\,d^8\,f^3\,18432{}\mathrm{i}-a^9\,c^9\,d^6\,f^3\,3072{}\mathrm{i}+a^9\,c^{11}\,d^4\,f^3\,1024{}\mathrm{i}\right)\right)\,\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4+4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}+516\,a^3\,c^3\,d^{11}\,f-112\,a^3\,c^5\,d^9\,f-68\,a^3\,c^7\,d^7\,f-36\,a^3\,c^9\,d^5\,f-8\,a^3\,c^{11}\,d^3\,f-1012\,a^3\,c\,d^{13}\,f+a^3\,d^{14}\,f\,240{}\mathrm{i}-a^3\,c^2\,d^{12}\,f\,1422{}\mathrm{i}-a^3\,c^4\,d^{10}\,f\,274{}\mathrm{i}-a^3\,c^6\,d^8\,f\,294{}\mathrm{i}-a^3\,c^8\,d^6\,f\,94{}\mathrm{i}-a^3\,c^{10}\,d^4\,f\,12{}\mathrm{i}\right)\,\sqrt{-\frac{700\,c\,d^{16}-d^{17}\,140{}\mathrm{i}+c^2\,d^{15}\,1225{}\mathrm{i}-735\,c^3\,d^{14}+c^4\,d^{13}\,35{}\mathrm{i}+203\,c^5\,d^{12}+c^6\,d^{11}\,427{}\mathrm{i}+83\,c^7\,d^{10}+c^8\,d^9\,197{}\mathrm{i}+85\,c^9\,d^8+c^{10}\,d^7\,48{}\mathrm{i}+48\,c^{11}\,d^6+c^{12}\,d^5\,8{}\mathrm{i}+8\,c^{13}\,d^4+4\,a^6\,c^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+4\,a^6\,d^{12}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^4\,d^8\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+80\,a^6\,c^6\,d^6\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+60\,a^6\,c^8\,d^4\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}+24\,a^6\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{-1225\,c^{18}\,d^{16}+c^{17}\,d^{17}\,5390{}\mathrm{i}+539\,c^{16}\,d^{18}+c^{15}\,d^{19}\,30548{}\mathrm{i}+40999\,c^{14}\,d^{20}+c^{13}\,d^{21}\,22386{}\mathrm{i}+16171\,c^{12}\,d^{22}+c^{11}\,d^{23}\,145560{}\mathrm{i}+56837\,c^{10}\,d^{24}+c^9\,d^{25}\,496562{}\mathrm{i}+849497\,c^8\,d^{26}-c^7\,d^{27}\,720812{}\mathrm{i}-1007083\,c^6\,d^{28}+c^5\,d^{29}\,1985390{}\mathrm{i}+2494161\,c^4\,d^{30}-c^3\,d^{31}\,1860736{}\mathrm{i}-827256\,c^2\,d^{32}+c\,d^{33}\,204832{}\mathrm{i}+21904\,d^{34}}{16\,a^{12}\,c^{24}\,f^4+192\,a^{12}\,c^{22}\,d^2\,f^4+1056\,a^{12}\,c^{20}\,d^4\,f^4+3520\,a^{12}\,c^{18}\,d^6\,f^4+7920\,a^{12}\,c^{16}\,d^8\,f^4+12672\,a^{12}\,c^{14}\,d^{10}\,f^4+14784\,a^{12}\,c^{12}\,d^{12}\,f^4+12672\,a^{12}\,c^{10}\,d^{14}\,f^4+7920\,a^{12}\,c^8\,d^{16}\,f^4+3520\,a^{12}\,c^6\,d^{18}\,f^4+1056\,a^{12}\,c^4\,d^{20}\,f^4+192\,a^{12}\,c^2\,d^{22}\,f^4+16\,a^{12}\,d^{24}\,f^4}}}{2048\,a^6\,c^{14}\,d^4\,f^2+14336\,a^6\,c^{12}\,d^6\,f^2+43008\,a^6\,c^{10}\,d^8\,f^2+71680\,a^6\,c^8\,d^{10}\,f^2+71680\,a^6\,c^6\,d^{12}\,f^2+43008\,a^6\,c^4\,d^{14}\,f^2+14336\,a^6\,c^2\,d^{16}\,f^2+2048\,a^6\,d^{18}\,f^2}}+\frac{-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-c^2\,d\,10{}\mathrm{i}+45\,c\,d^2+d^3\,90{}\mathrm{i}\right)}{80\,a^3\,f\,\left(-d+c\,1{}\mathrm{i}\right)}+\frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(12\,c^2\,d+c\,d^2\,48{}\mathrm{i}-76\,d^3\right)\,1{}\mathrm{i}}{48\,a^3\,f\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}+\frac{d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,\left(2\,c^2+c\,d\,7{}\mathrm{i}-10\,d^2\right)}{16\,a^3\,f\,\left(-d+c\,1{}\mathrm{i}\right)\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}}{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(3\,c^2+c\,d\,6{}\mathrm{i}-3\,d^2\right)+{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3+3\,c\,d^2-c^2\,d\,3{}\mathrm{i}-\left(3\,c+d\,3{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-c^3+d^3\,1{}\mathrm{i}}","Not used",1,"log(a^3*d^14*f*240i - ((-(140*d^11 - c*d^10*140i + 35*c^2*d^9 - c^3*d^8*245i - 280*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(140*d^11 - c*d^10*140i + 35*c^2*d^9 - c^3*d^8*245i - 280*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2)*(65536*a^12*c*d^14*f^4 + 393216*a^12*c^3*d^12*f^4 + 983040*a^12*c^5*d^10*f^4 + 1310720*a^12*c^7*d^8*f^4 + 983040*a^12*c^9*d^6*f^4 + 393216*a^12*c^11*d^4*f^4 + 65536*a^12*c^13*d^2*f^4) + 14336*a^9*d^15*f^3 + a^9*c*d^14*f^3*33792i + 20480*a^9*c^2*d^13*f^3 + a^9*c^3*d^12*f^3*95232i - 18432*a^9*c^4*d^11*f^3 + a^9*c^5*d^10*f^3*83968i - 32768*a^9*c^6*d^9*f^3 + a^9*c^7*d^8*f^3*18432i + 2048*a^9*c^8*d^7*f^3 - a^9*c^9*d^6*f^3*3072i + 12288*a^9*c^10*d^5*f^3 + a^9*c^11*d^4*f^3*1024i + 2048*a^9*c^12*d^3*f^3) + (c + d*tan(e + f*x))^(1/2)*(4736*a^6*d^14*f^2 + a^6*c*d^13*f^2*17664i - 20000*a^6*c^2*d^12*f^2 - a^6*c^3*d^11*f^2*3520i - 800*a^6*c^4*d^10*f^2 + a^6*c^5*d^9*f^2*7296i - 1248*a^6*c^6*d^8*f^2 + a^6*c^7*d^7*f^2*3904i + 1440*a^6*c^8*d^6*f^2 + a^6*c^9*d^5*f^2*1280i + 1280*a^6*c^10*d^4*f^2 + a^6*c^11*d^3*f^2*256i + 256*a^6*c^12*d^2*f^2))*(-(140*d^11 - c*d^10*140i + 35*c^2*d^9 - c^3*d^8*245i - 280*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2) - a^3*c^2*d^12*f*1422i + 516*a^3*c^3*d^11*f - a^3*c^4*d^10*f*274i - 112*a^3*c^5*d^9*f - a^3*c^6*d^8*f*294i - 68*a^3*c^7*d^7*f - a^3*c^8*d^6*f*94i - 36*a^3*c^9*d^5*f - a^3*c^10*d^4*f*12i - 8*a^3*c^11*d^3*f - 1012*a^3*c*d^13*f)*(-(140*d^11 - c*d^10*140i + 35*c^2*d^9 - c^3*d^8*245i - 280*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2) + log(a^3*d^14*f*240i - (((c*d^10*140i - 140*d^11 - 35*c^2*d^9 + c^3*d^8*245i + 280*c^4*d^7 - c^5*d^6*168i - 56*c^6*d^5 + c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((c*d^10*140i - 140*d^11 - 35*c^2*d^9 + c^3*d^8*245i + 280*c^4*d^7 - c^5*d^6*168i - 56*c^6*d^5 + c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2)*(65536*a^12*c*d^14*f^4 + 393216*a^12*c^3*d^12*f^4 + 983040*a^12*c^5*d^10*f^4 + 1310720*a^12*c^7*d^8*f^4 + 983040*a^12*c^9*d^6*f^4 + 393216*a^12*c^11*d^4*f^4 + 65536*a^12*c^13*d^2*f^4) + 14336*a^9*d^15*f^3 + a^9*c*d^14*f^3*33792i + 20480*a^9*c^2*d^13*f^3 + a^9*c^3*d^12*f^3*95232i - 18432*a^9*c^4*d^11*f^3 + a^9*c^5*d^10*f^3*83968i - 32768*a^9*c^6*d^9*f^3 + a^9*c^7*d^8*f^3*18432i + 2048*a^9*c^8*d^7*f^3 - a^9*c^9*d^6*f^3*3072i + 12288*a^9*c^10*d^5*f^3 + a^9*c^11*d^4*f^3*1024i + 2048*a^9*c^12*d^3*f^3) + (c + d*tan(e + f*x))^(1/2)*(4736*a^6*d^14*f^2 + a^6*c*d^13*f^2*17664i - 20000*a^6*c^2*d^12*f^2 - a^6*c^3*d^11*f^2*3520i - 800*a^6*c^4*d^10*f^2 + a^6*c^5*d^9*f^2*7296i - 1248*a^6*c^6*d^8*f^2 + a^6*c^7*d^7*f^2*3904i + 1440*a^6*c^8*d^6*f^2 + a^6*c^9*d^5*f^2*1280i + 1280*a^6*c^10*d^4*f^2 + a^6*c^11*d^3*f^2*256i + 256*a^6*c^12*d^2*f^2))*((c*d^10*140i - 140*d^11 - 35*c^2*d^9 + c^3*d^8*245i + 280*c^4*d^7 - c^5*d^6*168i - 56*c^6*d^5 + c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2) - a^3*c^2*d^12*f*1422i + 516*a^3*c^3*d^11*f - a^3*c^4*d^10*f*274i - 112*a^3*c^5*d^9*f - a^3*c^6*d^8*f*294i - 68*a^3*c^7*d^7*f - a^3*c^8*d^6*f*94i - 36*a^3*c^9*d^5*f - a^3*c^10*d^4*f*12i - 8*a^3*c^11*d^3*f - 1012*a^3*c*d^13*f)*((c*d^10*140i - 140*d^11 - 35*c^2*d^9 + c^3*d^8*245i + 280*c^4*d^7 - c^5*d^6*168i - 56*c^6*d^5 + c^7*d^4*8i - a^6*c^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + a^6*d^6*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^5*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + 24*a^6*c^5*d*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) - a^6*c^2*d^4*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i - 80*a^6*c^3*d^3*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2) + a^6*c^4*d^2*f^2*(4*(256*d^6 + 256*c^2*d^4)*(((649*c^2*d^14)/1024 - (9*d^16)/64 + (85*c^4*d^12)/1024 + (119*c^6*d^10)/1024 + (15*c^8*d^8)/1024 - (c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4) - (((69*c*d^15)/128 - (55*c^3*d^13)/512 + (57*c^5*d^11)/256 + (61*c^7*d^9)/512 + (5*c^9*d^7)/128 + (c^11*d^5)/128)*1i)/(a^12*c^12*f^4 + a^12*d^12*f^4 + 6*a^12*c^2*d^10*f^4 + 15*a^12*c^4*d^8*f^4 + 20*a^12*c^6*d^6*f^4 + 15*a^12*c^8*d^4*f^4 + 6*a^12*c^10*d^2*f^4)) + ((((1225*c^2*d^15)/4 - 35*d^17 + (35*c^4*d^13)/4 + (427*c^6*d^11)/4 + (197*c^8*d^9)/4 + 12*c^10*d^7 + 2*c^12*d^5)*1i)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2) + (175*c*d^16 - (735*c^3*d^14)/4 + (203*c^5*d^12)/4 + (83*c^7*d^10)/4 + (85*c^9*d^8)/4 + 12*c^11*d^6 + 2*c^13*d^4)/(a^6*c^12*f^2 + a^6*d^12*f^2 + 6*a^6*c^2*d^10*f^2 + 15*a^6*c^4*d^8*f^2 + 20*a^6*c^6*d^6*f^2 + 15*a^6*c^8*d^4*f^2 + 6*a^6*c^10*d^2*f^2))^2)^(1/2)*60i)/(2048*(d^6 + c^2*d^4)*(a^6*d^6*f^2*1i - a^6*c^6*f^2*1i + 6*a^6*c*d^5*f^2 + 6*a^6*c^5*d*f^2 - a^6*c^2*d^4*f^2*15i - 20*a^6*c^3*d^3*f^2 + a^6*c^4*d^2*f^2*15i)))^(1/2) - log(((c + d*tan(e + f*x))^(1/2)*(4736*a^6*d^14*f^2 + a^6*c*d^13*f^2*17664i - 20000*a^6*c^2*d^12*f^2 - a^6*c^3*d^11*f^2*3520i - 800*a^6*c^4*d^10*f^2 + a^6*c^5*d^9*f^2*7296i - 1248*a^6*c^6*d^8*f^2 + a^6*c^7*d^7*f^2*3904i + 1440*a^6*c^8*d^6*f^2 + a^6*c^9*d^5*f^2*1280i + 1280*a^6*c^10*d^4*f^2 + a^6*c^11*d^3*f^2*256i + 256*a^6*c^12*d^2*f^2) - (-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 - 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2)*(14336*a^9*d^15*f^3 - (-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 - 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(65536*a^12*c*d^14*f^4 + 393216*a^12*c^3*d^12*f^4 + 983040*a^12*c^5*d^10*f^4 + 1310720*a^12*c^7*d^8*f^4 + 983040*a^12*c^9*d^6*f^4 + 393216*a^12*c^11*d^4*f^4 + 65536*a^12*c^13*d^2*f^4) + a^9*c*d^14*f^3*33792i + 20480*a^9*c^2*d^13*f^3 + a^9*c^3*d^12*f^3*95232i - 18432*a^9*c^4*d^11*f^3 + a^9*c^5*d^10*f^3*83968i - 32768*a^9*c^6*d^9*f^3 + a^9*c^7*d^8*f^3*18432i + 2048*a^9*c^8*d^7*f^3 - a^9*c^9*d^6*f^3*3072i + 12288*a^9*c^10*d^5*f^3 + a^9*c^11*d^4*f^3*1024i + 2048*a^9*c^12*d^3*f^3))*(-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 - 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2) + a^3*d^14*f*240i - a^3*c^2*d^12*f*1422i + 516*a^3*c^3*d^11*f - a^3*c^4*d^10*f*274i - 112*a^3*c^5*d^9*f - a^3*c^6*d^8*f*294i - 68*a^3*c^7*d^7*f - a^3*c^8*d^6*f*94i - 36*a^3*c^9*d^5*f - a^3*c^10*d^4*f*12i - 8*a^3*c^11*d^3*f - 1012*a^3*c*d^13*f)*(-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 - 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) - 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2) - log(((c + d*tan(e + f*x))^(1/2)*(4736*a^6*d^14*f^2 + a^6*c*d^13*f^2*17664i - 20000*a^6*c^2*d^12*f^2 - a^6*c^3*d^11*f^2*3520i - 800*a^6*c^4*d^10*f^2 + a^6*c^5*d^9*f^2*7296i - 1248*a^6*c^6*d^8*f^2 + a^6*c^7*d^7*f^2*3904i + 1440*a^6*c^8*d^6*f^2 + a^6*c^9*d^5*f^2*1280i + 1280*a^6*c^10*d^4*f^2 + a^6*c^11*d^3*f^2*256i + 256*a^6*c^12*d^2*f^2) - (-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 + 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2)*(14336*a^9*d^15*f^3 - (-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 + 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(65536*a^12*c*d^14*f^4 + 393216*a^12*c^3*d^12*f^4 + 983040*a^12*c^5*d^10*f^4 + 1310720*a^12*c^7*d^8*f^4 + 983040*a^12*c^9*d^6*f^4 + 393216*a^12*c^11*d^4*f^4 + 65536*a^12*c^13*d^2*f^4) + a^9*c*d^14*f^3*33792i + 20480*a^9*c^2*d^13*f^3 + a^9*c^3*d^12*f^3*95232i - 18432*a^9*c^4*d^11*f^3 + a^9*c^5*d^10*f^3*83968i - 32768*a^9*c^6*d^9*f^3 + a^9*c^7*d^8*f^3*18432i + 2048*a^9*c^8*d^7*f^3 - a^9*c^9*d^6*f^3*3072i + 12288*a^9*c^10*d^5*f^3 + a^9*c^11*d^4*f^3*1024i + 2048*a^9*c^12*d^3*f^3))*(-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 + 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2) + a^3*d^14*f*240i - a^3*c^2*d^12*f*1422i + 516*a^3*c^3*d^11*f - a^3*c^4*d^10*f*274i - 112*a^3*c^5*d^9*f - a^3*c^6*d^8*f*294i - 68*a^3*c^7*d^7*f - a^3*c^8*d^6*f*94i - 36*a^3*c^9*d^5*f - a^3*c^10*d^4*f*12i - 8*a^3*c^11*d^3*f - 1012*a^3*c*d^13*f)*(-(700*c*d^16 - d^17*140i + c^2*d^15*1225i - 735*c^3*d^14 + c^4*d^13*35i + 203*c^5*d^12 + c^6*d^11*427i + 83*c^7*d^10 + c^8*d^9*197i + 85*c^9*d^8 + c^10*d^7*48i + 48*c^11*d^6 + c^12*d^5*8i + 8*c^13*d^4 + 4*a^6*c^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 4*a^6*d^12*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^2*d^10*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^4*d^8*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 80*a^6*c^6*d^6*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 60*a^6*c^8*d^4*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2) + 24*a^6*c^10*d^2*f^2*(-(c*d^33*204832i + 21904*d^34 - 827256*c^2*d^32 - c^3*d^31*1860736i + 2494161*c^4*d^30 + c^5*d^29*1985390i - 1007083*c^6*d^28 - c^7*d^27*720812i + 849497*c^8*d^26 + c^9*d^25*496562i + 56837*c^10*d^24 + c^11*d^23*145560i + 16171*c^12*d^22 + c^13*d^21*22386i + 40999*c^14*d^20 + c^15*d^19*30548i + 539*c^16*d^18 + c^17*d^17*5390i - 1225*c^18*d^16)/(16*a^12*c^24*f^4 + 16*a^12*d^24*f^4 + 192*a^12*c^2*d^22*f^4 + 1056*a^12*c^4*d^20*f^4 + 3520*a^12*c^6*d^18*f^4 + 7920*a^12*c^8*d^16*f^4 + 12672*a^12*c^10*d^14*f^4 + 14784*a^12*c^12*d^12*f^4 + 12672*a^12*c^14*d^10*f^4 + 7920*a^12*c^16*d^8*f^4 + 3520*a^12*c^18*d^6*f^4 + 1056*a^12*c^20*d^4*f^4 + 192*a^12*c^22*d^2*f^4))^(1/2))/(2048*a^6*d^18*f^2 + 14336*a^6*c^2*d^16*f^2 + 43008*a^6*c^4*d^14*f^2 + 71680*a^6*c^6*d^12*f^2 + 71680*a^6*c^8*d^10*f^2 + 43008*a^6*c^10*d^8*f^2 + 14336*a^6*c^12*d^6*f^2 + 2048*a^6*c^14*d^4*f^2))^(1/2) + (((c + d*tan(e + f*x))^(3/2)*(c*d^2*48i + 12*c^2*d - 76*d^3)*1i)/(48*a^3*f*(2*c*d - c^2*1i + d^2*1i)) - ((c + d*tan(e + f*x))^(1/2)*(45*c*d^2 - c^2*d*10i + d^3*90i))/(80*a^3*f*(c*1i - d)) + (d*(c + d*tan(e + f*x))^(5/2)*(c*d*7i + 2*c^2 - 10*d^2))/(16*a^3*f*(c*1i - d)*(2*c*d - c^2*1i + d^2*1i)))/((c + d*tan(e + f*x))*(c*d*6i + 3*c^2 - 3*d^2) + (c + d*tan(e + f*x))^3 + 3*c*d^2 - c^2*d*3i - (3*c + d*3i)*(c + d*tan(e + f*x))^2 - c^3 + d^3*1i)","B"
1125,1,182,139,6.587326,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c + d*tan(e + f*x))^(3/2),x)","-\frac{a^3\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}}{d^2\,f}+\frac{a^3\,\mathrm{atan}\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^4\,f^2+4\,c^2\,d^2\,f^2+2\,d^4\,f^2\right)}{2\,f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{3/2}\,\left(f\,c^3+1{}\mathrm{i}\,f\,c^2\,d+f\,c\,d^2+1{}\mathrm{i}\,f\,d^3\right)}\right)\,8{}\mathrm{i}}{f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\left(a^3\,c^2+a^3\,c\,d\,2{}\mathrm{i}-a^3\,d^2\right)\,2{}\mathrm{i}}{d^2\,f\,\left(c-d\,1{}\mathrm{i}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}","Not used",1,"(a^3*atan(((c + d*tan(e + f*x))^(1/2)*(2*c^4*f^2 + 2*d^4*f^2 + 4*c^2*d^2*f^2))/(2*f*(d*1i - c)^(3/2)*(c^3*f + d^3*f*1i + c*d^2*f + c^2*d*f*1i)))*8i)/(f*(d*1i - c)^(3/2)) - (a^3*(c + d*tan(e + f*x))^(1/2)*2i)/(d^2*f) - ((a^3*c^2 - a^3*d^2 + a^3*c*d*2i)*2i)/(d^2*f*(c - d*1i)*(c + d*tan(e + f*x))^(1/2))","B"
1126,1,142,92,6.384535,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c + d*tan(e + f*x))^(3/2),x)","\frac{a^2\,\mathrm{atan}\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^4\,f^2+4\,c^2\,d^2\,f^2+2\,d^4\,f^2\right)}{2\,f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{3/2}\,\left(f\,c^3+1{}\mathrm{i}\,f\,c^2\,d+f\,c\,d^2+1{}\mathrm{i}\,f\,d^3\right)}\right)\,4{}\mathrm{i}}{f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{3/2}}+\frac{2\,a^2\,\left(c+d\,1{}\mathrm{i}\right)}{d\,f\,\left(c-d\,1{}\mathrm{i}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}","Not used",1,"(a^2*atan(((c + d*tan(e + f*x))^(1/2)*(2*c^4*f^2 + 2*d^4*f^2 + 4*c^2*d^2*f^2))/(2*f*(d*1i - c)^(3/2)*(c^3*f + d^3*f*1i + c*d^2*f + c^2*d*f*1i)))*4i)/(f*(d*1i - c)^(3/2)) + (2*a^2*(c + d*1i))/(d*f*(c - d*1i)*(c + d*tan(e + f*x))^(1/2))","B"
1127,1,4612,76,14.426912,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c + d*tan(e + f*x))^(3/2),x)","\frac{\ln\left(-\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}-\frac{32\,a\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f\,\left(c^2+d^2\right)}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{16\,a^2\,d^2\,\left(c^2-d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{a^3\,c\,d^2\,8{}\mathrm{i}}{f^3\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}-\frac{32\,a\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f\,\left(c^2+d^2\right)}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{16\,a^2\,d^2\,\left(c^2-d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{a^3\,c\,d^2\,8{}\mathrm{i}}{f^3\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}-\ln\left(\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}+\frac{32\,a\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f\,\left(c^2+d^2\right)}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{16\,a^2\,d^2\,\left(c^2-d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{a^3\,c\,d^2\,8{}\mathrm{i}}{f^3\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-\ln\left(\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}+\frac{32\,a\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f\,\left(c^2+d^2\right)}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{16\,a^2\,d^2\,\left(c^2-d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^3}}}{4}+\frac{a^3\,c\,d^2\,8{}\mathrm{i}}{f^3\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}+\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)-\frac{\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)}{4}+256\,a\,c^3\,d^9\,f^4+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)}{4}\right)}{4}+8\,a^3\,d^9\,f^2+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)-\frac{\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)}{4}+256\,a\,c^3\,d^9\,f^4+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)}{4}\right)}{4}+8\,a^3\,d^9\,f^2+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}-\ln\left(8\,a^3\,d^9\,f^2-\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)+\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(256\,a\,c^3\,d^9\,f^4-\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)\right)+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-\ln\left(8\,a^3\,d^9\,f^2-\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)+\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(256\,a\,c^3\,d^9\,f^4-\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)\right)+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-\frac{2\,a\,d}{f\,\left(c^2+d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}+\frac{a\,c\,2{}\mathrm{i}}{f\,\left(c^2+d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}","Not used",1,"(log((a^3*c*d^2*8i)/(f^3*(c^2 + d^2)^2) - ((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*((4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2) - (32*a*d^2*(c^2*1i - d^2*1i))/(f*(c^2 + d^2)))*((4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4 + (16*a^2*d^2*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/2))/(f^2*(c^2 + d^2)^2))*((4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4)*(((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 + (log((a^3*c*d^2*8i)/(f^3*(c^2 + d^2)^2) - ((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2) - (32*a*d^2*(c^2*1i - d^2*1i))/(f*(c^2 + d^2)))*(-(4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4 + (16*a^2*d^2*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/2))/(f^2*(c^2 + d^2)^2))*(-(4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4)*(-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 - log(((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*((4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2) + (32*a*d^2*(c^2*1i - d^2*1i))/(f*(c^2 + d^2)))*((4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4 + (16*a^2*d^2*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/2))/(f^2*(c^2 + d^2)^2))*((4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4 + (a^3*c*d^2*8i)/(f^3*(c^2 + d^2)^2))*(((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) - log(((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2) + (32*a*d^2*(c^2*1i - d^2*1i))/(f*(c^2 + d^2)))*(-(4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4 + (16*a^2*d^2*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/2))/(f^2*(c^2 + d^2)^2))*(-(4*(-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(f^4*(c^2 + d^2)^3))^(1/2))/4 + (a^3*c*d^2*8i)/(f^3*(c^2 + d^2)^2))*(-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) + (log(((((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) - ((((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(((((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5))/4 + 256*a*c^3*d^9*f^4 + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4))/4))/4 + 8*a^3*d^9*f^2 + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 + (log(((-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) - ((-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(((-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5))/4 + 256*a*c^3*d^9*f^4 + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4))/4))/4 + 8*a^3*d^9*f^2 + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 - log(8*a^3*d^9*f^2 - (((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) + (((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(256*a*c^3*d^9*f^4 - (((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4)) + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) - log(8*a^3*d^9*f^2 - (-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) + (-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(256*a*c^3*d^9*f^4 - (-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4)) + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) + (a*c*2i)/(f*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/2)) - (2*a*d)/(f*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/2))","B"
1128,1,35674,205,15.809086,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^(3/2)),x)","-\ln\left(10\,a\,d^7\,f-\sqrt{\frac{1200\,c\,d^{10}-d^{11}\,240{}\mathrm{i}+c^2\,d^9\,1920{}\mathrm{i}-1280\,c^3\,d^8-c^4\,d^7\,240{}\mathrm{i}-208\,c^5\,d^6-c^6\,d^5\,96{}\mathrm{i}-32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}\,\left(\sqrt{\frac{1200\,c\,d^{10}-d^{11}\,240{}\mathrm{i}+c^2\,d^9\,1920{}\mathrm{i}-1280\,c^3\,d^8-c^4\,d^7\,240{}\mathrm{i}-208\,c^5\,d^6-c^6\,d^5\,96{}\mathrm{i}-32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}\,\left(104\,a^3\,c\,d^9\,f^3-a^3\,d^{10}\,f^3\,24{}\mathrm{i}+a^3\,c^2\,d^8\,f^3\,24{}\mathrm{i}+216\,a^3\,c^3\,d^7\,f^3+a^3\,c^4\,d^6\,f^3\,120{}\mathrm{i}+120\,a^3\,c^5\,d^5\,f^3+a^3\,c^6\,d^4\,f^3\,72{}\mathrm{i}+8\,a^3\,c^7\,d^3\,f^3+2\,\sqrt{\frac{1200\,c\,d^{10}-d^{11}\,240{}\mathrm{i}+c^2\,d^9\,1920{}\mathrm{i}-1280\,c^3\,d^8-c^4\,d^7\,240{}\mathrm{i}-208\,c^5\,d^6-c^6\,d^5\,96{}\mathrm{i}-32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(32\,a^2\,c^7\,d^2\,f^2+a^2\,c^6\,d^3\,f^2\,64{}\mathrm{i}+32\,a^2\,c^5\,d^4\,f^2+a^2\,c^4\,d^5\,f^2\,128{}\mathrm{i}-32\,a^2\,c^3\,d^6\,f^2+a^2\,c^2\,d^7\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^8\,f^2\right)\right)+2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^4\,d^2+c^3\,d^3\,10{}\mathrm{i}-7\,c^2\,d^4+c\,d^5\,20{}\mathrm{i}+17\,d^6\right)\right)-\frac{17\,a\,c^2\,d^5\,f}{2}-\frac{a\,c^4\,d^3\,f}{2}+\frac{a\,c\,d^6\,f\,39{}\mathrm{i}}{2}+\frac{a\,c^3\,d^4\,f\,3{}\mathrm{i}}{2}\right)\,\sqrt{\frac{1200\,c\,d^{10}-d^{11}\,240{}\mathrm{i}+c^2\,d^9\,1920{}\mathrm{i}-1280\,c^3\,d^8-c^4\,d^7\,240{}\mathrm{i}-208\,c^5\,d^6-c^6\,d^5\,96{}\mathrm{i}-32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}-\ln\left(10\,a\,d^7\,f-\sqrt{-\frac{1280\,c^3\,d^8+d^{11}\,240{}\mathrm{i}-c^2\,d^9\,1920{}\mathrm{i}-1200\,c\,d^{10}+c^4\,d^7\,240{}\mathrm{i}+208\,c^5\,d^6+c^6\,d^5\,96{}\mathrm{i}+32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}\,\left(\sqrt{-\frac{1280\,c^3\,d^8+d^{11}\,240{}\mathrm{i}-c^2\,d^9\,1920{}\mathrm{i}-1200\,c\,d^{10}+c^4\,d^7\,240{}\mathrm{i}+208\,c^5\,d^6+c^6\,d^5\,96{}\mathrm{i}+32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}\,\left(104\,a^3\,c\,d^9\,f^3-a^3\,d^{10}\,f^3\,24{}\mathrm{i}+a^3\,c^2\,d^8\,f^3\,24{}\mathrm{i}+216\,a^3\,c^3\,d^7\,f^3+a^3\,c^4\,d^6\,f^3\,120{}\mathrm{i}+120\,a^3\,c^5\,d^5\,f^3+a^3\,c^6\,d^4\,f^3\,72{}\mathrm{i}+8\,a^3\,c^7\,d^3\,f^3+2\,\sqrt{-\frac{1280\,c^3\,d^8+d^{11}\,240{}\mathrm{i}-c^2\,d^9\,1920{}\mathrm{i}-1200\,c\,d^{10}+c^4\,d^7\,240{}\mathrm{i}+208\,c^5\,d^6+c^6\,d^5\,96{}\mathrm{i}+32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(32\,a^2\,c^7\,d^2\,f^2+a^2\,c^6\,d^3\,f^2\,64{}\mathrm{i}+32\,a^2\,c^5\,d^4\,f^2+a^2\,c^4\,d^5\,f^2\,128{}\mathrm{i}-32\,a^2\,c^3\,d^6\,f^2+a^2\,c^2\,d^7\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^8\,f^2\right)\right)+2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^4\,d^2+c^3\,d^3\,10{}\mathrm{i}-7\,c^2\,d^4+c\,d^5\,20{}\mathrm{i}+17\,d^6\right)\right)-\frac{17\,a\,c^2\,d^5\,f}{2}-\frac{a\,c^4\,d^3\,f}{2}+\frac{a\,c\,d^6\,f\,39{}\mathrm{i}}{2}+\frac{a\,c^3\,d^4\,f\,3{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{1280\,c^3\,d^8+d^{11}\,240{}\mathrm{i}-c^2\,d^9\,1920{}\mathrm{i}-1200\,c\,d^{10}+c^4\,d^7\,240{}\mathrm{i}+208\,c^5\,d^6+c^6\,d^5\,96{}\mathrm{i}+32\,c^7\,d^4+a^2\,c^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+a^2\,d^8\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^2\,d^6\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+6\,a^2\,c^4\,d^4\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}+4\,a^2\,c^6\,d^2\,f^2\,\sqrt{\frac{57600\,c^{10}\,d^{12}+c^9\,d^{13}\,38400{}\mathrm{i}+684800\,c^8\,d^{14}-c^7\,d^{15}\,706560{}\mathrm{i}+1856000\,c^6\,d^{16}-c^5\,d^{17}\,5667840{}\mathrm{i}-7033344\,c^4\,d^{18}+c^3\,d^{19}\,5093376{}\mathrm{i}+2280704\,c^2\,d^{20}-c\,d^{21}\,600576{}\mathrm{i}-73984\,d^{22}}{a^4\,c^{16}\,f^4+8\,a^4\,c^{14}\,d^2\,f^4+28\,a^4\,c^{12}\,d^4\,f^4+56\,a^4\,c^{10}\,d^6\,f^4+70\,a^4\,c^8\,d^8\,f^4+56\,a^4\,c^6\,d^{10}\,f^4+28\,a^4\,c^4\,d^{12}\,f^4+8\,a^4\,c^2\,d^{14}\,f^4+a^4\,d^{16}\,f^4}}}{512\,a^2\,c^{10}\,d^4\,f^2+2560\,a^2\,c^8\,d^6\,f^2+5120\,a^2\,c^6\,d^8\,f^2+5120\,a^2\,c^4\,d^{10}\,f^2+2560\,a^2\,c^2\,d^{12}\,f^2+512\,a^2\,d^{14}\,f^2}}-\frac{\frac{d^2\,2{}\mathrm{i}}{a\,f\,\left(c^2+d^2\right)}+\frac{d\,\left(c-d\,5{}\mathrm{i}\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,1{}\mathrm{i}}{2\,a\,f\,\left(-d+c\,1{}\mathrm{i}\right)\,\left(c^2+d^2\right)}}{\left(c+d\,1{}\mathrm{i}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\ln\left(10\,a\,d^7\,f-\left(\sqrt{-\frac{240\,c^2\,d^7-240\,d^9-c\,d^8\,720{}\mathrm{i}+c^3\,d^6\,80{}\mathrm{i}+160\,c^4\,d^5-c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(104\,a^3\,c\,d^9\,f^3-a^3\,d^{10}\,f^3\,24{}\mathrm{i}+a^3\,c^2\,d^8\,f^3\,24{}\mathrm{i}+216\,a^3\,c^3\,d^7\,f^3+a^3\,c^4\,d^6\,f^3\,120{}\mathrm{i}+120\,a^3\,c^5\,d^5\,f^3+a^3\,c^6\,d^4\,f^3\,72{}\mathrm{i}+8\,a^3\,c^7\,d^3\,f^3-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\sqrt{-\frac{240\,c^2\,d^7-240\,d^9-c\,d^8\,720{}\mathrm{i}+c^3\,d^6\,80{}\mathrm{i}+160\,c^4\,d^5-c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(32\,a^2\,c^7\,d^2\,f^2+a^2\,c^6\,d^3\,f^2\,64{}\mathrm{i}+32\,a^2\,c^5\,d^4\,f^2+a^2\,c^4\,d^5\,f^2\,128{}\mathrm{i}-32\,a^2\,c^3\,d^6\,f^2+a^2\,c^2\,d^7\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^8\,f^2\right)\right)-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^4\,d^2+c^3\,d^3\,10{}\mathrm{i}-7\,c^2\,d^4+c\,d^5\,20{}\mathrm{i}+17\,d^6\right)\right)\,\sqrt{-\frac{240\,c^2\,d^7-240\,d^9-c\,d^8\,720{}\mathrm{i}+c^3\,d^6\,80{}\mathrm{i}+160\,c^4\,d^5-c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}-\frac{17\,a\,c^2\,d^5\,f}{2}-\frac{a\,c^4\,d^3\,f}{2}+\frac{a\,c\,d^6\,f\,39{}\mathrm{i}}{2}+\frac{a\,c^3\,d^4\,f\,3{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{240\,c^2\,d^7-240\,d^9-c\,d^8\,720{}\mathrm{i}+c^3\,d^6\,80{}\mathrm{i}+160\,c^4\,d^5-c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(10\,a\,d^7\,f-\left(\sqrt{\frac{c\,d^8\,720{}\mathrm{i}+240\,d^9-240\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-160\,c^4\,d^5+c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(104\,a^3\,c\,d^9\,f^3-a^3\,d^{10}\,f^3\,24{}\mathrm{i}+a^3\,c^2\,d^8\,f^3\,24{}\mathrm{i}+216\,a^3\,c^3\,d^7\,f^3+a^3\,c^4\,d^6\,f^3\,120{}\mathrm{i}+120\,a^3\,c^5\,d^5\,f^3+a^3\,c^6\,d^4\,f^3\,72{}\mathrm{i}+8\,a^3\,c^7\,d^3\,f^3-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\sqrt{\frac{c\,d^8\,720{}\mathrm{i}+240\,d^9-240\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-160\,c^4\,d^5+c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}\,\left(32\,a^2\,c^7\,d^2\,f^2+a^2\,c^6\,d^3\,f^2\,64{}\mathrm{i}+32\,a^2\,c^5\,d^4\,f^2+a^2\,c^4\,d^5\,f^2\,128{}\mathrm{i}-32\,a^2\,c^3\,d^6\,f^2+a^2\,c^2\,d^7\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^8\,f^2\right)\right)-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^4\,d^2+c^3\,d^3\,10{}\mathrm{i}-7\,c^2\,d^4+c\,d^5\,20{}\mathrm{i}+17\,d^6\right)\right)\,\sqrt{\frac{c\,d^8\,720{}\mathrm{i}+240\,d^9-240\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-160\,c^4\,d^5+c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}-\frac{17\,a\,c^2\,d^5\,f}{2}-\frac{a\,c^4\,d^3\,f}{2}+\frac{a\,c\,d^6\,f\,39{}\mathrm{i}}{2}+\frac{a\,c^3\,d^4\,f\,3{}\mathrm{i}}{2}\right)\,\sqrt{\frac{c\,d^8\,720{}\mathrm{i}+240\,d^9-240\,c^2\,d^7-c^3\,d^6\,80{}\mathrm{i}-160\,c^4\,d^5+c^5\,d^4\,32{}\mathrm{i}-a^2\,c^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+2\,a^2\,c^5\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}+a^2\,c^2\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}-a^2\,c^4\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-c^2\,d^6+16\,d^8}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}+\frac{\left(6\,c^3\,d^5+24\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^8\,f^4+4\,a^4\,c^6\,d^2\,f^4+6\,a^4\,c^4\,d^4\,f^4+4\,a^4\,c^2\,d^6\,f^4+a^4\,d^8\,f^4}\right)+{\left(\frac{32\,c^7\,d^4+208\,c^5\,d^6+1280\,c^3\,d^8-1200\,c\,d^{10}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}+\frac{\left(96\,c^6\,d^5+240\,c^4\,d^7-1920\,c^2\,d^9+240\,d^{11}\right)\,1{}\mathrm{i}}{a^2\,c^8\,f^2+4\,a^2\,c^6\,d^2\,f^2+6\,a^2\,c^4\,d^4\,f^2+4\,a^2\,c^2\,d^6\,f^2+a^2\,d^8\,f^2}\right)}^2}\,1{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^6\,f^2\,1{}\mathrm{i}+2\,a^2\,c^5\,d\,f^2-a^2\,c^4\,d^2\,f^2\,1{}\mathrm{i}+4\,a^2\,c^3\,d^3\,f^2+a^2\,c^2\,d^4\,f^2\,1{}\mathrm{i}+2\,a^2\,c\,d^5\,f^2+a^2\,d^6\,f^2\,1{}\mathrm{i}\right)}}","Not used",1,"log(10*a*d^7*f - ((-(240*c^2*d^7 - 240*d^9 - c*d^8*720i + c^3*d^6*80i + 160*c^4*d^5 - c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2)*(104*a^3*c*d^9*f^3 - a^3*d^10*f^3*24i + a^3*c^2*d^8*f^3*24i + 216*a^3*c^3*d^7*f^3 + a^3*c^4*d^6*f^3*120i + 120*a^3*c^5*d^5*f^3 + a^3*c^6*d^4*f^3*72i + 8*a^3*c^7*d^3*f^3 - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(-(240*c^2*d^7 - 240*d^9 - c*d^8*720i + c^3*d^6*80i + 160*c^4*d^5 - c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2)*(a^2*c^2*d^7*f^2*64i - 32*a^2*c*d^8*f^2 - 32*a^2*c^3*d^6*f^2 + a^2*c^4*d^5*f^2*128i + 32*a^2*c^5*d^4*f^2 + a^2*c^6*d^3*f^2*64i + 32*a^2*c^7*d^2*f^2)) - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^5*20i + 17*d^6 - 7*c^2*d^4 + c^3*d^3*10i + 2*c^4*d^2))*(-(240*c^2*d^7 - 240*d^9 - c*d^8*720i + c^3*d^6*80i + 160*c^4*d^5 - c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2) + (a*c*d^6*f*39i)/2 - (17*a*c^2*d^5*f)/2 + (a*c^3*d^4*f*3i)/2 - (a*c^4*d^3*f)/2)*(-(240*c^2*d^7 - 240*d^9 - c*d^8*720i + c^3*d^6*80i + 160*c^4*d^5 - c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2) - log(10*a*d^7*f - (-(d^11*240i - 1200*c*d^10 - c^2*d^9*1920i + 1280*c^3*d^8 + c^4*d^7*240i + 208*c^5*d^6 + c^6*d^5*96i + 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2)*((-(d^11*240i - 1200*c*d^10 - c^2*d^9*1920i + 1280*c^3*d^8 + c^4*d^7*240i + 208*c^5*d^6 + c^6*d^5*96i + 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2)*(104*a^3*c*d^9*f^3 - a^3*d^10*f^3*24i + a^3*c^2*d^8*f^3*24i + 216*a^3*c^3*d^7*f^3 + a^3*c^4*d^6*f^3*120i + 120*a^3*c^5*d^5*f^3 + a^3*c^6*d^4*f^3*72i + 8*a^3*c^7*d^3*f^3 + 2*(-(d^11*240i - 1200*c*d^10 - c^2*d^9*1920i + 1280*c^3*d^8 + c^4*d^7*240i + 208*c^5*d^6 + c^6*d^5*96i + 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(a^2*c^2*d^7*f^2*64i - 32*a^2*c*d^8*f^2 - 32*a^2*c^3*d^6*f^2 + a^2*c^4*d^5*f^2*128i + 32*a^2*c^5*d^4*f^2 + a^2*c^6*d^3*f^2*64i + 32*a^2*c^7*d^2*f^2)) + 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^5*20i + 17*d^6 - 7*c^2*d^4 + c^3*d^3*10i + 2*c^4*d^2)) + (a*c*d^6*f*39i)/2 - (17*a*c^2*d^5*f)/2 + (a*c^3*d^4*f*3i)/2 - (a*c^4*d^3*f)/2)*(-(d^11*240i - 1200*c*d^10 - c^2*d^9*1920i + 1280*c^3*d^8 + c^4*d^7*240i + 208*c^5*d^6 + c^6*d^5*96i + 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2) - ((d^2*2i)/(a*f*(c^2 + d^2)) + (d*(c - d*5i)*(c + d*tan(e + f*x))*1i)/(2*a*f*(c*1i - d)*(c^2 + d^2)))/((c + d*1i)*(c + d*tan(e + f*x))^(1/2) - (c + d*tan(e + f*x))^(3/2)) - log(10*a*d^7*f - ((1200*c*d^10 - d^11*240i + c^2*d^9*1920i - 1280*c^3*d^8 - c^4*d^7*240i - 208*c^5*d^6 - c^6*d^5*96i - 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2)*(((1200*c*d^10 - d^11*240i + c^2*d^9*1920i - 1280*c^3*d^8 - c^4*d^7*240i - 208*c^5*d^6 - c^6*d^5*96i - 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2)*(104*a^3*c*d^9*f^3 - a^3*d^10*f^3*24i + a^3*c^2*d^8*f^3*24i + 216*a^3*c^3*d^7*f^3 + a^3*c^4*d^6*f^3*120i + 120*a^3*c^5*d^5*f^3 + a^3*c^6*d^4*f^3*72i + 8*a^3*c^7*d^3*f^3 + 2*((1200*c*d^10 - d^11*240i + c^2*d^9*1920i - 1280*c^3*d^8 - c^4*d^7*240i - 208*c^5*d^6 - c^6*d^5*96i - 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(a^2*c^2*d^7*f^2*64i - 32*a^2*c*d^8*f^2 - 32*a^2*c^3*d^6*f^2 + a^2*c^4*d^5*f^2*128i + 32*a^2*c^5*d^4*f^2 + a^2*c^6*d^3*f^2*64i + 32*a^2*c^7*d^2*f^2)) + 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^5*20i + 17*d^6 - 7*c^2*d^4 + c^3*d^3*10i + 2*c^4*d^2)) + (a*c*d^6*f*39i)/2 - (17*a*c^2*d^5*f)/2 + (a*c^3*d^4*f*3i)/2 - (a*c^4*d^3*f)/2)*((1200*c*d^10 - d^11*240i + c^2*d^9*1920i - 1280*c^3*d^8 - c^4*d^7*240i - 208*c^5*d^6 - c^6*d^5*96i - 32*c^7*d^4 + a^2*c^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + a^2*d^8*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^2*d^6*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 6*a^2*c^4*d^4*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2) + 4*a^2*c^6*d^2*f^2*((2280704*c^2*d^20 - 73984*d^22 - c*d^21*600576i + c^3*d^19*5093376i - 7033344*c^4*d^18 - c^5*d^17*5667840i + 1856000*c^6*d^16 - c^7*d^15*706560i + 684800*c^8*d^14 + c^9*d^13*38400i + 57600*c^10*d^12)/(a^4*c^16*f^4 + a^4*d^16*f^4 + 8*a^4*c^2*d^14*f^4 + 28*a^4*c^4*d^12*f^4 + 56*a^4*c^6*d^10*f^4 + 70*a^4*c^8*d^8*f^4 + 56*a^4*c^10*d^6*f^4 + 28*a^4*c^12*d^4*f^4 + 8*a^4*c^14*d^2*f^4))^(1/2))/(512*a^2*d^14*f^2 + 2560*a^2*c^2*d^12*f^2 + 5120*a^2*c^4*d^10*f^2 + 5120*a^2*c^6*d^8*f^2 + 2560*a^2*c^8*d^6*f^2 + 512*a^2*c^10*d^4*f^2))^(1/2) + log(10*a*d^7*f - (((c*d^8*720i + 240*d^9 - 240*c^2*d^7 - c^3*d^6*80i - 160*c^4*d^5 + c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2)*(104*a^3*c*d^9*f^3 - a^3*d^10*f^3*24i + a^3*c^2*d^8*f^3*24i + 216*a^3*c^3*d^7*f^3 + a^3*c^4*d^6*f^3*120i + 120*a^3*c^5*d^5*f^3 + a^3*c^6*d^4*f^3*72i + 8*a^3*c^7*d^3*f^3 - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*((c*d^8*720i + 240*d^9 - 240*c^2*d^7 - c^3*d^6*80i - 160*c^4*d^5 + c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2)*(a^2*c^2*d^7*f^2*64i - 32*a^2*c*d^8*f^2 - 32*a^2*c^3*d^6*f^2 + a^2*c^4*d^5*f^2*128i + 32*a^2*c^5*d^4*f^2 + a^2*c^6*d^3*f^2*64i + 32*a^2*c^7*d^2*f^2)) - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(c*d^5*20i + 17*d^6 - 7*c^2*d^4 + c^3*d^3*10i + 2*c^4*d^2))*((c*d^8*720i + 240*d^9 - 240*c^2*d^7 - c^3*d^6*80i - 160*c^4*d^5 + c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2) + (a*c*d^6*f*39i)/2 - (17*a*c^2*d^5*f)/2 + (a*c^3*d^4*f*3i)/2 - (a*c^4*d^3*f)/2)*((c*d^8*720i + 240*d^9 - 240*c^2*d^7 - c^3*d^6*80i - 160*c^4*d^5 + c^5*d^4*32i - a^2*c^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + a^2*d^6*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^5*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + 2*a^2*c^5*d*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) + a^2*c^2*d^4*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i + 4*a^2*c^3*d^3*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2) - a^2*c^4*d^2*f^2*(((1280*c^3*d^8 - 1200*c*d^10 + 208*c^5*d^6 + 32*c^7*d^4)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2) + ((240*d^11 - 1920*c^2*d^9 + 240*c^4*d^7 + 96*c^6*d^5)*1i)/(a^2*c^8*f^2 + a^2*d^8*f^2 + 4*a^2*c^2*d^6*f^2 + 6*a^2*c^4*d^4*f^2 + 4*a^2*c^6*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((24*c*d^7 + 6*c^3*d^5)*1i)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4) + (16*d^8 - c^2*d^6 + c^4*d^4)/(a^4*c^8*f^4 + a^4*d^8*f^4 + 4*a^4*c^2*d^6*f^4 + 6*a^4*c^4*d^4*f^4 + 4*a^4*c^6*d^2*f^4)))^(1/2)*1i)/(512*(d^6 + c^2*d^4)*(a^2*d^6*f^2*1i - a^2*c^6*f^2*1i + 2*a^2*c*d^5*f^2 + 2*a^2*c^5*d*f^2 + a^2*c^2*d^4*f^2*1i + 4*a^2*c^3*d^3*f^2 - a^2*c^4*d^2*f^2*1i)))^(1/2)","B"
1129,1,66456,281,15.104256,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^(3/2)),x)","\ln\left(575\,a^2\,d^{11}\,f-\left(\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}\,\left(11008\,a^6\,c\,d^{13}\,f^3-8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-512\,a^4\,c^9\,d^2\,f^2-a^4\,c^8\,d^3\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^7\,d^4\,f^2-a^4\,c^6\,d^5\,f^2\,2048{}\mathrm{i}+5120\,a^4\,c^5\,d^6\,f^2+a^4\,c^4\,d^7\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^3\,d^8\,f^2+a^4\,c^2\,d^9\,f^2\,2048{}\mathrm{i}-512\,a^4\,c\,d^{10}\,f^2\right)+28928\,a^6\,c^3\,d^{11}\,f^3+20992\,a^6\,c^5\,d^9\,f^3-512\,a^6\,c^7\,d^7\,f^3-3328\,a^6\,c^9\,d^5\,f^3+256\,a^6\,c^{11}\,d^3\,f^3-a^6\,d^{14}\,f^3\,2688{}\mathrm{i}+a^6\,c^2\,d^{12}\,f^3\,4992{}\mathrm{i}+a^6\,c^4\,d^{10}\,f^3\,31488{}\mathrm{i}+a^6\,c^6\,d^8\,f^3\,37632{}\mathrm{i}+a^6\,c^8\,d^6\,f^3\,14208{}\mathrm{i}+a^6\,c^{10}\,d^4\,f^3\,384{}\mathrm{i}\right)-8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-8\,c^6\,d^2-c^5\,d^3\,56{}\mathrm{i}+176\,c^4\,d^4+c^3\,d^5\,196{}\mathrm{i}+139\,c^2\,d^6+c\,d^7\,574{}\mathrm{i}+533\,d^8\right)\right)\,\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}-3028\,a^2\,c^2\,d^9\,f-a^2\,c^3\,d^8\,f\,1536{}\mathrm{i}-45\,a^2\,c^4\,d^7\,f-a^2\,c^5\,d^6\,f\,165{}\mathrm{i}-46\,a^2\,c^6\,d^5\,f-a^2\,c^7\,d^4\,f\,18{}\mathrm{i}-4\,a^2\,c^8\,d^3\,f+a^2\,c\,d^{10}\,f\,2211{}\mathrm{i}\right)\,\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}-a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}+4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(575\,a^2\,d^{11}\,f-\left(\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}-4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}\,\left(11008\,a^6\,c\,d^{13}\,f^3-8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}-4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-512\,a^4\,c^9\,d^2\,f^2-a^4\,c^8\,d^3\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^7\,d^4\,f^2-a^4\,c^6\,d^5\,f^2\,2048{}\mathrm{i}+5120\,a^4\,c^5\,d^6\,f^2+a^4\,c^4\,d^7\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^3\,d^8\,f^2+a^4\,c^2\,d^9\,f^2\,2048{}\mathrm{i}-512\,a^4\,c\,d^{10}\,f^2\right)+28928\,a^6\,c^3\,d^{11}\,f^3+20992\,a^6\,c^5\,d^9\,f^3-512\,a^6\,c^7\,d^7\,f^3-3328\,a^6\,c^9\,d^5\,f^3+256\,a^6\,c^{11}\,d^3\,f^3-a^6\,d^{14}\,f^3\,2688{}\mathrm{i}+a^6\,c^2\,d^{12}\,f^3\,4992{}\mathrm{i}+a^6\,c^4\,d^{10}\,f^3\,31488{}\mathrm{i}+a^6\,c^6\,d^8\,f^3\,37632{}\mathrm{i}+a^6\,c^8\,d^6\,f^3\,14208{}\mathrm{i}+a^6\,c^{10}\,d^4\,f^3\,384{}\mathrm{i}\right)-8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-8\,c^6\,d^2-c^5\,d^3\,56{}\mathrm{i}+176\,c^4\,d^4+c^3\,d^5\,196{}\mathrm{i}+139\,c^2\,d^6+c\,d^7\,574{}\mathrm{i}+533\,d^8\right)\right)\,\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}-4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}-3028\,a^2\,c^2\,d^9\,f-a^2\,c^3\,d^8\,f\,1536{}\mathrm{i}-45\,a^2\,c^4\,d^7\,f-a^2\,c^5\,d^6\,f\,165{}\mathrm{i}-46\,a^2\,c^6\,d^5\,f-a^2\,c^7\,d^4\,f\,18{}\mathrm{i}-4\,a^2\,c^8\,d^3\,f+a^2\,c\,d^{10}\,f\,2211{}\mathrm{i}\right)\,\sqrt{-\frac{c\,d^{10}\,1155{}\mathrm{i}+525\,d^{11}-315\,c^2\,d^9+c^3\,d^8\,175{}\mathrm{i}-140\,c^4\,d^7+c^5\,d^6\,168{}\mathrm{i}+56\,c^6\,d^5-c^7\,d^4\,8{}\mathrm{i}+a^4\,c^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}+a^4\,d^8\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,1{}\mathrm{i}-a^4\,c^2\,d^6\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c^3\,d^5\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^4\,d^4\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,10{}\mathrm{i}-4\,a^4\,c^5\,d^3\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-a^4\,c^6\,d^2\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}\,4{}\mathrm{i}+4\,a^4\,c\,d^7\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}-4\,a^4\,c^7\,d\,f^2\,\sqrt{{\left(\frac{8\,c^{11}\,d^4+8\,c^9\,d^6+57\,c^7\,d^8-973\,c^5\,d^{10}+10115\,c^3\,d^{12}-3255\,c\,d^{14}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}+\frac{\left(24\,c^{10}\,d^5+228\,c^8\,d^7+609\,c^6\,d^9+6195\,c^4\,d^{11}-8085\,c^2\,d^{13}+525\,d^{15}\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^2+6\,a^4\,c^{10}\,d^2\,f^2+15\,a^4\,c^8\,d^4\,f^2+20\,a^4\,c^6\,d^6\,f^2+15\,a^4\,c^4\,d^8\,f^2+6\,a^4\,c^2\,d^{10}\,f^2+a^4\,d^{12}\,f^2}\right)}^2-4\,\left(-\frac{-\frac{c^8\,d^4}{16}+\frac{7\,c^6\,d^6}{8}+\frac{315\,c^4\,d^8}{64}+\frac{763\,c^2\,d^{10}}{32}-\frac{529\,d^{12}}{64}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}+\frac{\left(\frac{3\,c^7\,d^5}{8}+\frac{21\,c^5\,d^7}{16}-\frac{21\,c^3\,d^9}{16}+\frac{207\,c\,d^{11}}{8}\right)\,1{}\mathrm{i}}{a^8\,c^{12}\,f^4+6\,a^8\,c^{10}\,d^2\,f^4+15\,a^8\,c^8\,d^4\,f^4+20\,a^8\,c^6\,d^6\,f^4+15\,a^8\,c^4\,d^8\,f^4+6\,a^8\,c^2\,d^{10}\,f^4+a^8\,d^{12}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^4\,c^8\,f^2\,1{}\mathrm{i}+4\,a^4\,c^7\,d\,f^2+a^4\,c^6\,d^2\,f^2\,4{}\mathrm{i}+4\,a^4\,c^5\,d^3\,f^2+a^4\,c^4\,d^4\,f^2\,10{}\mathrm{i}-4\,a^4\,c^3\,d^5\,f^2+a^4\,c^2\,d^6\,f^2\,4{}\mathrm{i}-4\,a^4\,c\,d^7\,f^2-a^4\,d^8\,f^2\,1{}\mathrm{i}\right)}}+\frac{\frac{2\,d^3}{f\,a^2\,c^2+f\,a^2\,d^2}-\frac{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(c^2\,d\,2{}\mathrm{i}-9\,c\,d^2+d^3\,43{}\mathrm{i}\right)}{8\,a^2\,f\,\left(c^3\,1{}\mathrm{i}-c^2\,d+c\,d^2\,1{}\mathrm{i}-d^3\right)}+\frac{d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2\,\left(2\,c^2+c\,d\,7{}\mathrm{i}+25\,d^2\right)}{8\,a^2\,f\,\left(c^4+c^3\,d\,2{}\mathrm{i}+c\,d^3\,2{}\mathrm{i}-d^4\right)}}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^2+c\,d\,2{}\mathrm{i}-d^2\right)+{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}-\left(2\,c+d\,2{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}-\ln\left(575\,a^2\,d^{11}\,f-\left(\sqrt{\frac{3255\,c\,d^{14}-d^{15}\,525{}\mathrm{i}+c^2\,d^{13}\,8085{}\mathrm{i}-10115\,c^3\,d^{12}-c^4\,d^{11}\,6195{}\mathrm{i}+973\,c^5\,d^{10}-c^6\,d^9\,609{}\mathrm{i}-57\,c^7\,d^8-c^8\,d^7\,228{}\mathrm{i}-8\,c^9\,d^6-c^{10}\,d^5\,24{}\mathrm{i}-8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}\,\left(11008\,a^6\,c\,d^{13}\,f^3-a^6\,d^{14}\,f^3\,2688{}\mathrm{i}+a^6\,c^2\,d^{12}\,f^3\,4992{}\mathrm{i}+28928\,a^6\,c^3\,d^{11}\,f^3+a^6\,c^4\,d^{10}\,f^3\,31488{}\mathrm{i}+20992\,a^6\,c^5\,d^9\,f^3+a^6\,c^6\,d^8\,f^3\,37632{}\mathrm{i}-512\,a^6\,c^7\,d^7\,f^3+a^6\,c^8\,d^6\,f^3\,14208{}\mathrm{i}-3328\,a^6\,c^9\,d^5\,f^3+a^6\,c^{10}\,d^4\,f^3\,384{}\mathrm{i}+256\,a^6\,c^{11}\,d^3\,f^3+8\,\sqrt{\frac{3255\,c\,d^{14}-d^{15}\,525{}\mathrm{i}+c^2\,d^{13}\,8085{}\mathrm{i}-10115\,c^3\,d^{12}-c^4\,d^{11}\,6195{}\mathrm{i}+973\,c^5\,d^{10}-c^6\,d^9\,609{}\mathrm{i}-57\,c^7\,d^8-c^8\,d^7\,228{}\mathrm{i}-8\,c^9\,d^6-c^{10}\,d^5\,24{}\mathrm{i}-8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-512\,a^4\,c^9\,d^2\,f^2-a^4\,c^8\,d^3\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^7\,d^4\,f^2-a^4\,c^6\,d^5\,f^2\,2048{}\mathrm{i}+5120\,a^4\,c^5\,d^6\,f^2+a^4\,c^4\,d^7\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^3\,d^8\,f^2+a^4\,c^2\,d^9\,f^2\,2048{}\mathrm{i}-512\,a^4\,c\,d^{10}\,f^2\right)\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-8\,c^6\,d^2-c^5\,d^3\,56{}\mathrm{i}+176\,c^4\,d^4+c^3\,d^5\,196{}\mathrm{i}+139\,c^2\,d^6+c\,d^7\,574{}\mathrm{i}+533\,d^8\right)\right)\,\sqrt{\frac{3255\,c\,d^{14}-d^{15}\,525{}\mathrm{i}+c^2\,d^{13}\,8085{}\mathrm{i}-10115\,c^3\,d^{12}-c^4\,d^{11}\,6195{}\mathrm{i}+973\,c^5\,d^{10}-c^6\,d^9\,609{}\mathrm{i}-57\,c^7\,d^8-c^8\,d^7\,228{}\mathrm{i}-8\,c^9\,d^6-c^{10}\,d^5\,24{}\mathrm{i}-8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}-3028\,a^2\,c^2\,d^9\,f-a^2\,c^3\,d^8\,f\,1536{}\mathrm{i}-45\,a^2\,c^4\,d^7\,f-a^2\,c^5\,d^6\,f\,165{}\mathrm{i}-46\,a^2\,c^6\,d^5\,f-a^2\,c^7\,d^4\,f\,18{}\mathrm{i}-4\,a^2\,c^8\,d^3\,f+a^2\,c\,d^{10}\,f\,2211{}\mathrm{i}\right)\,\sqrt{\frac{3255\,c\,d^{14}-d^{15}\,525{}\mathrm{i}+c^2\,d^{13}\,8085{}\mathrm{i}-10115\,c^3\,d^{12}-c^4\,d^{11}\,6195{}\mathrm{i}+973\,c^5\,d^{10}-c^6\,d^9\,609{}\mathrm{i}-57\,c^7\,d^8-c^8\,d^7\,228{}\mathrm{i}-8\,c^9\,d^6-c^{10}\,d^5\,24{}\mathrm{i}-8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}-\ln\left(575\,a^2\,d^{11}\,f-\left(\sqrt{-\frac{10115\,c^3\,d^{12}+d^{15}\,525{}\mathrm{i}-c^2\,d^{13}\,8085{}\mathrm{i}-3255\,c\,d^{14}+c^4\,d^{11}\,6195{}\mathrm{i}-973\,c^5\,d^{10}+c^6\,d^9\,609{}\mathrm{i}+57\,c^7\,d^8+c^8\,d^7\,228{}\mathrm{i}+8\,c^9\,d^6+c^{10}\,d^5\,24{}\mathrm{i}+8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}\,\left(11008\,a^6\,c\,d^{13}\,f^3-a^6\,d^{14}\,f^3\,2688{}\mathrm{i}+a^6\,c^2\,d^{12}\,f^3\,4992{}\mathrm{i}+28928\,a^6\,c^3\,d^{11}\,f^3+a^6\,c^4\,d^{10}\,f^3\,31488{}\mathrm{i}+20992\,a^6\,c^5\,d^9\,f^3+a^6\,c^6\,d^8\,f^3\,37632{}\mathrm{i}-512\,a^6\,c^7\,d^7\,f^3+a^6\,c^8\,d^6\,f^3\,14208{}\mathrm{i}-3328\,a^6\,c^9\,d^5\,f^3+a^6\,c^{10}\,d^4\,f^3\,384{}\mathrm{i}+256\,a^6\,c^{11}\,d^3\,f^3+8\,\sqrt{-\frac{10115\,c^3\,d^{12}+d^{15}\,525{}\mathrm{i}-c^2\,d^{13}\,8085{}\mathrm{i}-3255\,c\,d^{14}+c^4\,d^{11}\,6195{}\mathrm{i}-973\,c^5\,d^{10}+c^6\,d^9\,609{}\mathrm{i}+57\,c^7\,d^8+c^8\,d^7\,228{}\mathrm{i}+8\,c^9\,d^6+c^{10}\,d^5\,24{}\mathrm{i}+8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-512\,a^4\,c^9\,d^2\,f^2-a^4\,c^8\,d^3\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^7\,d^4\,f^2-a^4\,c^6\,d^5\,f^2\,2048{}\mathrm{i}+5120\,a^4\,c^5\,d^6\,f^2+a^4\,c^4\,d^7\,f^2\,2048{}\mathrm{i}+2048\,a^4\,c^3\,d^8\,f^2+a^4\,c^2\,d^9\,f^2\,2048{}\mathrm{i}-512\,a^4\,c\,d^{10}\,f^2\right)\right)+8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,f^2-a^4\,c^3\,d\,f^2\,4{}\mathrm{i}-6\,a^4\,c^2\,d^2\,f^2+a^4\,c\,d^3\,f^2\,4{}\mathrm{i}+a^4\,d^4\,f^2\right)\,\left(-8\,c^6\,d^2-c^5\,d^3\,56{}\mathrm{i}+176\,c^4\,d^4+c^3\,d^5\,196{}\mathrm{i}+139\,c^2\,d^6+c\,d^7\,574{}\mathrm{i}+533\,d^8\right)\right)\,\sqrt{-\frac{10115\,c^3\,d^{12}+d^{15}\,525{}\mathrm{i}-c^2\,d^{13}\,8085{}\mathrm{i}-3255\,c\,d^{14}+c^4\,d^{11}\,6195{}\mathrm{i}-973\,c^5\,d^{10}+c^6\,d^9\,609{}\mathrm{i}+57\,c^7\,d^8+c^8\,d^7\,228{}\mathrm{i}+8\,c^9\,d^6+c^{10}\,d^5\,24{}\mathrm{i}+8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}-3028\,a^2\,c^2\,d^9\,f-a^2\,c^3\,d^8\,f\,1536{}\mathrm{i}-45\,a^2\,c^4\,d^7\,f-a^2\,c^5\,d^6\,f\,165{}\mathrm{i}-46\,a^2\,c^6\,d^5\,f-a^2\,c^7\,d^4\,f\,18{}\mathrm{i}-4\,a^2\,c^8\,d^3\,f+a^2\,c\,d^{10}\,f\,2211{}\mathrm{i}\right)\,\sqrt{-\frac{10115\,c^3\,d^{12}+d^{15}\,525{}\mathrm{i}-c^2\,d^{13}\,8085{}\mathrm{i}-3255\,c\,d^{14}+c^4\,d^{11}\,6195{}\mathrm{i}-973\,c^5\,d^{10}+c^6\,d^9\,609{}\mathrm{i}+57\,c^7\,d^8+c^8\,d^7\,228{}\mathrm{i}+8\,c^9\,d^6+c^{10}\,d^5\,24{}\mathrm{i}+8\,c^{11}\,d^4+a^4\,c^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+a^4\,d^{12}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^2\,d^{10}\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^4\,d^8\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+20\,a^4\,c^6\,d^6\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+15\,a^4\,c^8\,d^4\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}+6\,a^4\,c^{10}\,d^2\,f^2\,\sqrt{-\frac{19600\,c^{16}\,d^{14}-c^{15}\,d^{15}\,29400{}\mathrm{i}+128135\,c^{14}\,d^{16}+c^{13}\,d^{17}\,136710{}\mathrm{i}+2148979\,c^{12}\,d^{18}-c^{11}\,d^{19}\,3291876{}\mathrm{i}+964607\,c^{10}\,d^{20}+c^9\,d^{21}\,3044202{}\mathrm{i}+48154387\,c^8\,d^{22}-c^7\,d^{23}\,136244592{}\mathrm{i}-208433827\,c^6\,d^{24}+c^5\,d^{25}\,205459002{}\mathrm{i}+137722417\,c^4\,d^{26}-c^3\,d^{27}\,63069972{}\mathrm{i}-19049443\,c^2\,d^{28}+c\,d^{29}\,3444246{}\mathrm{i}+284089\,d^{30}}{a^8\,c^{24}\,f^4+12\,a^8\,c^{22}\,d^2\,f^4+66\,a^8\,c^{20}\,d^4\,f^4+220\,a^8\,c^{18}\,d^6\,f^4+495\,a^8\,c^{16}\,d^8\,f^4+792\,a^8\,c^{14}\,d^{10}\,f^4+924\,a^8\,c^{12}\,d^{12}\,f^4+792\,a^8\,c^{10}\,d^{14}\,f^4+495\,a^8\,c^8\,d^{16}\,f^4+220\,a^8\,c^6\,d^{18}\,f^4+66\,a^8\,c^4\,d^{20}\,f^4+12\,a^8\,c^2\,d^{22}\,f^4+a^8\,d^{24}\,f^4}}}{512\,a^4\,c^{14}\,d^4\,f^2+3584\,a^4\,c^{12}\,d^6\,f^2+10752\,a^4\,c^{10}\,d^8\,f^2+17920\,a^4\,c^8\,d^{10}\,f^2+17920\,a^4\,c^6\,d^{12}\,f^2+10752\,a^4\,c^4\,d^{14}\,f^2+3584\,a^4\,c^2\,d^{16}\,f^2+512\,a^4\,d^{18}\,f^2}}","Not used",1,"log(575*a^2*d^11*f - ((-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i + 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2)*(11008*a^6*c*d^13*f^3 - a^6*d^14*f^3*2688i - 8*(c + d*tan(e + f*x))^(1/2)*(-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i + 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(a^4*c^2*d^9*f^2*2048i - 512*a^4*c*d^10*f^2 + 2048*a^4*c^3*d^8*f^2 + a^4*c^4*d^7*f^2*2048i + 5120*a^4*c^5*d^6*f^2 - a^4*c^6*d^5*f^2*2048i + 2048*a^4*c^7*d^4*f^2 - a^4*c^8*d^3*f^2*2048i - 512*a^4*c^9*d^2*f^2) + a^6*c^2*d^12*f^3*4992i + 28928*a^6*c^3*d^11*f^3 + a^6*c^4*d^10*f^3*31488i + 20992*a^6*c^5*d^9*f^3 + a^6*c^6*d^8*f^3*37632i - 512*a^6*c^7*d^7*f^3 + a^6*c^8*d^6*f^3*14208i - 3328*a^6*c^9*d^5*f^3 + a^6*c^10*d^4*f^3*384i + 256*a^6*c^11*d^3*f^3) - 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(c*d^7*574i + 533*d^8 + 139*c^2*d^6 + c^3*d^5*196i + 176*c^4*d^4 - c^5*d^3*56i - 8*c^6*d^2))*(-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i + 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2) - 3028*a^2*c^2*d^9*f - a^2*c^3*d^8*f*1536i - 45*a^2*c^4*d^7*f - a^2*c^5*d^6*f*165i - 46*a^2*c^6*d^5*f - a^2*c^7*d^4*f*18i - 4*a^2*c^8*d^3*f + a^2*c*d^10*f*2211i)*(-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i - a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i + 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i - 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) + 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2) + log(575*a^2*d^11*f - ((-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i + a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i - 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2)*(11008*a^6*c*d^13*f^3 - a^6*d^14*f^3*2688i - 8*(c + d*tan(e + f*x))^(1/2)*(-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i + a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i - 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(a^4*c^2*d^9*f^2*2048i - 512*a^4*c*d^10*f^2 + 2048*a^4*c^3*d^8*f^2 + a^4*c^4*d^7*f^2*2048i + 5120*a^4*c^5*d^6*f^2 - a^4*c^6*d^5*f^2*2048i + 2048*a^4*c^7*d^4*f^2 - a^4*c^8*d^3*f^2*2048i - 512*a^4*c^9*d^2*f^2) + a^6*c^2*d^12*f^3*4992i + 28928*a^6*c^3*d^11*f^3 + a^6*c^4*d^10*f^3*31488i + 20992*a^6*c^5*d^9*f^3 + a^6*c^6*d^8*f^3*37632i - 512*a^6*c^7*d^7*f^3 + a^6*c^8*d^6*f^3*14208i - 3328*a^6*c^9*d^5*f^3 + a^6*c^10*d^4*f^3*384i + 256*a^6*c^11*d^3*f^3) - 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(c*d^7*574i + 533*d^8 + 139*c^2*d^6 + c^3*d^5*196i + 176*c^4*d^4 - c^5*d^3*56i - 8*c^6*d^2))*(-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i + a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i - 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2) - 3028*a^2*c^2*d^9*f - a^2*c^3*d^8*f*1536i - 45*a^2*c^4*d^7*f - a^2*c^5*d^6*f*165i - 46*a^2*c^6*d^5*f - a^2*c^7*d^4*f*18i - 4*a^2*c^8*d^3*f + a^2*c*d^10*f*2211i)*(-(c*d^10*1155i + 525*d^11 - 315*c^2*d^9 + c^3*d^8*175i - 140*c^4*d^7 + c^5*d^6*168i + 56*c^6*d^5 - c^7*d^4*8i + a^4*c^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i + a^4*d^8*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*1i - a^4*c^2*d^6*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c^3*d^5*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^4*d^4*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*10i - 4*a^4*c^5*d^3*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - a^4*c^6*d^2*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2)*4i + 4*a^4*c*d^7*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2) - 4*a^4*c^7*d*f^2*((((525*d^15 - 8085*c^2*d^13 + 6195*c^4*d^11 + 609*c^6*d^9 + 228*c^8*d^7 + 24*c^10*d^5)*1i)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2) + (10115*c^3*d^12 - 3255*c*d^14 - 973*c^5*d^10 + 57*c^7*d^8 + 8*c^9*d^6 + 8*c^11*d^4)/(a^4*c^12*f^2 + a^4*d^12*f^2 + 6*a^4*c^2*d^10*f^2 + 15*a^4*c^4*d^8*f^2 + 20*a^4*c^6*d^6*f^2 + 15*a^4*c^8*d^4*f^2 + 6*a^4*c^10*d^2*f^2))^2 - 4*((((207*c*d^11)/8 - (21*c^3*d^9)/16 + (21*c^5*d^7)/16 + (3*c^7*d^5)/8)*1i)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4) - ((763*c^2*d^10)/32 - (529*d^12)/64 + (315*c^4*d^8)/64 + (7*c^6*d^6)/8 - (c^8*d^4)/16)/(a^8*c^12*f^4 + a^8*d^12*f^4 + 6*a^8*c^2*d^10*f^4 + 15*a^8*c^4*d^8*f^4 + 20*a^8*c^6*d^6*f^4 + 15*a^8*c^8*d^4*f^4 + 6*a^8*c^10*d^2*f^4))*(256*d^6 + 256*c^2*d^4))^(1/2))/(512*(d^6 + c^2*d^4)*(4*a^4*c^7*d*f^2 - a^4*d^8*f^2*1i - 4*a^4*c*d^7*f^2 - a^4*c^8*f^2*1i + a^4*c^2*d^6*f^2*4i - 4*a^4*c^3*d^5*f^2 + a^4*c^4*d^4*f^2*10i + 4*a^4*c^5*d^3*f^2 + a^4*c^6*d^2*f^2*4i)))^(1/2) + ((2*d^3)/(a^2*c^2*f + a^2*d^2*f) - ((c + d*tan(e + f*x))*(c^2*d*2i - 9*c*d^2 + d^3*43i))/(8*a^2*f*(c*d^2*1i - c^2*d + c^3*1i - d^3)) + (d*(c + d*tan(e + f*x))^2*(c*d*7i + 2*c^2 + 25*d^2))/(8*a^2*f*(c*d^3*2i + c^3*d*2i + c^4 - d^4)))/((c + d*tan(e + f*x))^(1/2)*(c*d*2i + c^2 - d^2) + (c + d*tan(e + f*x))^(5/2) - (2*c + d*2i)*(c + d*tan(e + f*x))^(3/2)) - log(575*a^2*d^11*f - (((3255*c*d^14 - d^15*525i + c^2*d^13*8085i - 10115*c^3*d^12 - c^4*d^11*6195i + 973*c^5*d^10 - c^6*d^9*609i - 57*c^7*d^8 - c^8*d^7*228i - 8*c^9*d^6 - c^10*d^5*24i - 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2)*(11008*a^6*c*d^13*f^3 - a^6*d^14*f^3*2688i + a^6*c^2*d^12*f^3*4992i + 28928*a^6*c^3*d^11*f^3 + a^6*c^4*d^10*f^3*31488i + 20992*a^6*c^5*d^9*f^3 + a^6*c^6*d^8*f^3*37632i - 512*a^6*c^7*d^7*f^3 + a^6*c^8*d^6*f^3*14208i - 3328*a^6*c^9*d^5*f^3 + a^6*c^10*d^4*f^3*384i + 256*a^6*c^11*d^3*f^3 + 8*((3255*c*d^14 - d^15*525i + c^2*d^13*8085i - 10115*c^3*d^12 - c^4*d^11*6195i + 973*c^5*d^10 - c^6*d^9*609i - 57*c^7*d^8 - c^8*d^7*228i - 8*c^9*d^6 - c^10*d^5*24i - 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(a^4*c^2*d^9*f^2*2048i - 512*a^4*c*d^10*f^2 + 2048*a^4*c^3*d^8*f^2 + a^4*c^4*d^7*f^2*2048i + 5120*a^4*c^5*d^6*f^2 - a^4*c^6*d^5*f^2*2048i + 2048*a^4*c^7*d^4*f^2 - a^4*c^8*d^3*f^2*2048i - 512*a^4*c^9*d^2*f^2)) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(c*d^7*574i + 533*d^8 + 139*c^2*d^6 + c^3*d^5*196i + 176*c^4*d^4 - c^5*d^3*56i - 8*c^6*d^2))*((3255*c*d^14 - d^15*525i + c^2*d^13*8085i - 10115*c^3*d^12 - c^4*d^11*6195i + 973*c^5*d^10 - c^6*d^9*609i - 57*c^7*d^8 - c^8*d^7*228i - 8*c^9*d^6 - c^10*d^5*24i - 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2) - 3028*a^2*c^2*d^9*f - a^2*c^3*d^8*f*1536i - 45*a^2*c^4*d^7*f - a^2*c^5*d^6*f*165i - 46*a^2*c^6*d^5*f - a^2*c^7*d^4*f*18i - 4*a^2*c^8*d^3*f + a^2*c*d^10*f*2211i)*((3255*c*d^14 - d^15*525i + c^2*d^13*8085i - 10115*c^3*d^12 - c^4*d^11*6195i + 973*c^5*d^10 - c^6*d^9*609i - 57*c^7*d^8 - c^8*d^7*228i - 8*c^9*d^6 - c^10*d^5*24i - 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2) - log(575*a^2*d^11*f - ((-(d^15*525i - 3255*c*d^14 - c^2*d^13*8085i + 10115*c^3*d^12 + c^4*d^11*6195i - 973*c^5*d^10 + c^6*d^9*609i + 57*c^7*d^8 + c^8*d^7*228i + 8*c^9*d^6 + c^10*d^5*24i + 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2)*(11008*a^6*c*d^13*f^3 - a^6*d^14*f^3*2688i + a^6*c^2*d^12*f^3*4992i + 28928*a^6*c^3*d^11*f^3 + a^6*c^4*d^10*f^3*31488i + 20992*a^6*c^5*d^9*f^3 + a^6*c^6*d^8*f^3*37632i - 512*a^6*c^7*d^7*f^3 + a^6*c^8*d^6*f^3*14208i - 3328*a^6*c^9*d^5*f^3 + a^6*c^10*d^4*f^3*384i + 256*a^6*c^11*d^3*f^3 + 8*(-(d^15*525i - 3255*c*d^14 - c^2*d^13*8085i + 10115*c^3*d^12 + c^4*d^11*6195i - 973*c^5*d^10 + c^6*d^9*609i + 57*c^7*d^8 + c^8*d^7*228i + 8*c^9*d^6 + c^10*d^5*24i + 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(a^4*c^2*d^9*f^2*2048i - 512*a^4*c*d^10*f^2 + 2048*a^4*c^3*d^8*f^2 + a^4*c^4*d^7*f^2*2048i + 5120*a^4*c^5*d^6*f^2 - a^4*c^6*d^5*f^2*2048i + 2048*a^4*c^7*d^4*f^2 - a^4*c^8*d^3*f^2*2048i - 512*a^4*c^9*d^2*f^2)) + 8*(c + d*tan(e + f*x))^(1/2)*(a^4*c^4*f^2 + a^4*d^4*f^2 + a^4*c*d^3*f^2*4i - a^4*c^3*d*f^2*4i - 6*a^4*c^2*d^2*f^2)*(c*d^7*574i + 533*d^8 + 139*c^2*d^6 + c^3*d^5*196i + 176*c^4*d^4 - c^5*d^3*56i - 8*c^6*d^2))*(-(d^15*525i - 3255*c*d^14 - c^2*d^13*8085i + 10115*c^3*d^12 + c^4*d^11*6195i - 973*c^5*d^10 + c^6*d^9*609i + 57*c^7*d^8 + c^8*d^7*228i + 8*c^9*d^6 + c^10*d^5*24i + 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2) - 3028*a^2*c^2*d^9*f - a^2*c^3*d^8*f*1536i - 45*a^2*c^4*d^7*f - a^2*c^5*d^6*f*165i - 46*a^2*c^6*d^5*f - a^2*c^7*d^4*f*18i - 4*a^2*c^8*d^3*f + a^2*c*d^10*f*2211i)*(-(d^15*525i - 3255*c*d^14 - c^2*d^13*8085i + 10115*c^3*d^12 + c^4*d^11*6195i - 973*c^5*d^10 + c^6*d^9*609i + 57*c^7*d^8 + c^8*d^7*228i + 8*c^9*d^6 + c^10*d^5*24i + 8*c^11*d^4 + a^4*c^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + a^4*d^12*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^2*d^10*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^4*d^8*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 20*a^4*c^6*d^6*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 15*a^4*c^8*d^4*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2) + 6*a^4*c^10*d^2*f^2*(-(c*d^29*3444246i + 284089*d^30 - 19049443*c^2*d^28 - c^3*d^27*63069972i + 137722417*c^4*d^26 + c^5*d^25*205459002i - 208433827*c^6*d^24 - c^7*d^23*136244592i + 48154387*c^8*d^22 + c^9*d^21*3044202i + 964607*c^10*d^20 - c^11*d^19*3291876i + 2148979*c^12*d^18 + c^13*d^17*136710i + 128135*c^14*d^16 - c^15*d^15*29400i + 19600*c^16*d^14)/(a^8*c^24*f^4 + a^8*d^24*f^4 + 12*a^8*c^2*d^22*f^4 + 66*a^8*c^4*d^20*f^4 + 220*a^8*c^6*d^18*f^4 + 495*a^8*c^8*d^16*f^4 + 792*a^8*c^10*d^14*f^4 + 924*a^8*c^12*d^12*f^4 + 792*a^8*c^14*d^10*f^4 + 495*a^8*c^16*d^8*f^4 + 220*a^8*c^18*d^6*f^4 + 66*a^8*c^20*d^4*f^4 + 12*a^8*c^22*d^2*f^4))^(1/2))/(512*a^4*d^18*f^2 + 3584*a^4*c^2*d^16*f^2 + 10752*a^4*c^4*d^14*f^2 + 17920*a^4*c^6*d^12*f^2 + 17920*a^4*c^8*d^10*f^2 + 10752*a^4*c^10*d^8*f^2 + 3584*a^4*c^12*d^6*f^2 + 512*a^4*c^14*d^4*f^2))^(1/2)","B"
1130,1,106340,368,13.880964,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^(3/2)),x)","-\ln\left(6960\,a^3\,d^{15}\,f-\sqrt{\frac{26460\,c\,d^{18}-d^{19}\,3360{}\mathrm{i}+c^2\,d^{17}\,89145{}\mathrm{i}-166005\,c^3\,d^{16}-c^4\,d^{15}\,182700{}\mathrm{i}+115668\,c^5\,d^{14}+c^6\,d^{13}\,36246{}\mathrm{i}-4446\,c^7\,d^{12}-c^8\,d^{11}\,2916{}\mathrm{i}+1376\,c^9\,d^{10}-c^{10}\,d^9\,879{}\mathrm{i}+339\,c^{11}\,d^8-c^{12}\,d^7\,136{}\mathrm{i}-24\,c^{13}\,d^6-c^{14}\,d^5\,24{}\mathrm{i}-8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}\,\left(\sqrt{\frac{26460\,c\,d^{18}-d^{19}\,3360{}\mathrm{i}+c^2\,d^{17}\,89145{}\mathrm{i}-166005\,c^3\,d^{16}-c^4\,d^{15}\,182700{}\mathrm{i}+115668\,c^5\,d^{14}+c^6\,d^{13}\,36246{}\mathrm{i}-4446\,c^7\,d^{12}-c^8\,d^{11}\,2916{}\mathrm{i}+1376\,c^9\,d^{10}-c^{10}\,d^9\,879{}\mathrm{i}+339\,c^{11}\,d^8-c^{12}\,d^7\,136{}\mathrm{i}-24\,c^{13}\,d^6-c^{14}\,d^5\,24{}\mathrm{i}-8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}\,\left(267264\,a^9\,c\,d^{17}\,f^3-a^9\,d^{18}\,f^3\,57344{}\mathrm{i}+a^9\,c^2\,d^{16}\,f^3\,211968{}\mathrm{i}+765952\,a^9\,c^3\,d^{15}\,f^3+a^9\,c^4\,d^{14}\,f^3\,1349632{}\mathrm{i}+396288\,a^9\,c^5\,d^{13}\,f^3+a^9\,c^6\,d^{12}\,f^3\,2135040{}\mathrm{i}-727040\,a^9\,c^7\,d^{11}\,f^3+a^9\,c^8\,d^{10}\,f^3\,1290240{}\mathrm{i}-906240\,a^9\,c^9\,d^9\,f^3+a^9\,c^{10}\,d^8\,f^3\,173056{}\mathrm{i}-270336\,a^9\,c^{11}\,d^7\,f^3-a^9\,c^{12}\,d^6\,f^3\,59392{}\mathrm{i}+13312\,a^9\,c^{13}\,d^5\,f^3+a^9\,c^{14}\,d^4\,f^3\,3072{}\mathrm{i}+2048\,a^9\,c^{15}\,d^3\,f^3-32\,\sqrt{\frac{26460\,c\,d^{18}-d^{19}\,3360{}\mathrm{i}+c^2\,d^{17}\,89145{}\mathrm{i}-166005\,c^3\,d^{16}-c^4\,d^{15}\,182700{}\mathrm{i}+115668\,c^5\,d^{14}+c^6\,d^{13}\,36246{}\mathrm{i}-4446\,c^7\,d^{12}-c^8\,d^{11}\,2916{}\mathrm{i}+1376\,c^9\,d^{10}-c^{10}\,d^9\,879{}\mathrm{i}+339\,c^{11}\,d^8-c^{12}\,d^7\,136{}\mathrm{i}-24\,c^{13}\,d^6-c^{14}\,d^5\,24{}\mathrm{i}-8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(-2048\,a^6\,c^{11}\,d^2\,f^2-a^6\,c^{10}\,d^3\,f^2\,12288{}\mathrm{i}+26624\,a^6\,c^9\,d^4\,f^2+a^6\,c^8\,d^5\,f^2\,16384{}\mathrm{i}+28672\,a^6\,c^7\,d^6\,f^2+a^6\,c^6\,d^7\,f^2\,57344{}\mathrm{i}-28672\,a^6\,c^5\,d^8\,f^2+a^6\,c^4\,d^9\,f^2\,16384{}\mathrm{i}-26624\,a^6\,c^3\,d^{10}\,f^2-a^6\,c^2\,d^{11}\,f^2\,12288{}\mathrm{i}+2048\,a^6\,c\,d^{12}\,f^2\right)\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(8\,c^8\,d^2+c^7\,d^3\,72{}\mathrm{i}-296\,c^6\,d^4-c^5\,d^5\,744{}\mathrm{i}+989\,c^4\,d^6+c^3\,d^7\,114{}\mathrm{i}+1699\,c^2\,d^8+c\,d^9\,2868{}\mathrm{i}+3368\,d^{10}\right)\right)-91746\,a^3\,c^2\,d^{13}\,f-a^3\,c^3\,d^{12}\,f\,106018{}\mathrm{i}+59298\,a^3\,c^4\,d^{11}\,f+a^3\,c^5\,d^{10}\,f\,9918{}\mathrm{i}+1722\,a^3\,c^6\,d^9\,f-a^3\,c^7\,d^8\,f\,1458{}\mathrm{i}+558\,a^3\,c^8\,d^7\,f-a^3\,c^9\,d^6\,f\,402{}\mathrm{i}+32\,a^3\,c^{10}\,d^5\,f-a^3\,c^{11}\,d^4\,f\,36{}\mathrm{i}-8\,a^3\,c^{12}\,d^3\,f+a^3\,c\,d^{14}\,f\,39772{}\mathrm{i}\right)\,\sqrt{\frac{26460\,c\,d^{18}-d^{19}\,3360{}\mathrm{i}+c^2\,d^{17}\,89145{}\mathrm{i}-166005\,c^3\,d^{16}-c^4\,d^{15}\,182700{}\mathrm{i}+115668\,c^5\,d^{14}+c^6\,d^{13}\,36246{}\mathrm{i}-4446\,c^7\,d^{12}-c^8\,d^{11}\,2916{}\mathrm{i}+1376\,c^9\,d^{10}-c^{10}\,d^9\,879{}\mathrm{i}+339\,c^{11}\,d^8-c^{12}\,d^7\,136{}\mathrm{i}-24\,c^{13}\,d^6-c^{14}\,d^5\,24{}\mathrm{i}-8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}-\ln\left(6960\,a^3\,d^{15}\,f-\sqrt{-\frac{166005\,c^3\,d^{16}+d^{19}\,3360{}\mathrm{i}-c^2\,d^{17}\,89145{}\mathrm{i}-26460\,c\,d^{18}+c^4\,d^{15}\,182700{}\mathrm{i}-115668\,c^5\,d^{14}-c^6\,d^{13}\,36246{}\mathrm{i}+4446\,c^7\,d^{12}+c^8\,d^{11}\,2916{}\mathrm{i}-1376\,c^9\,d^{10}+c^{10}\,d^9\,879{}\mathrm{i}-339\,c^{11}\,d^8+c^{12}\,d^7\,136{}\mathrm{i}+24\,c^{13}\,d^6+c^{14}\,d^5\,24{}\mathrm{i}+8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}\,\left(\sqrt{-\frac{166005\,c^3\,d^{16}+d^{19}\,3360{}\mathrm{i}-c^2\,d^{17}\,89145{}\mathrm{i}-26460\,c\,d^{18}+c^4\,d^{15}\,182700{}\mathrm{i}-115668\,c^5\,d^{14}-c^6\,d^{13}\,36246{}\mathrm{i}+4446\,c^7\,d^{12}+c^8\,d^{11}\,2916{}\mathrm{i}-1376\,c^9\,d^{10}+c^{10}\,d^9\,879{}\mathrm{i}-339\,c^{11}\,d^8+c^{12}\,d^7\,136{}\mathrm{i}+24\,c^{13}\,d^6+c^{14}\,d^5\,24{}\mathrm{i}+8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}\,\left(267264\,a^9\,c\,d^{17}\,f^3-a^9\,d^{18}\,f^3\,57344{}\mathrm{i}+a^9\,c^2\,d^{16}\,f^3\,211968{}\mathrm{i}+765952\,a^9\,c^3\,d^{15}\,f^3+a^9\,c^4\,d^{14}\,f^3\,1349632{}\mathrm{i}+396288\,a^9\,c^5\,d^{13}\,f^3+a^9\,c^6\,d^{12}\,f^3\,2135040{}\mathrm{i}-727040\,a^9\,c^7\,d^{11}\,f^3+a^9\,c^8\,d^{10}\,f^3\,1290240{}\mathrm{i}-906240\,a^9\,c^9\,d^9\,f^3+a^9\,c^{10}\,d^8\,f^3\,173056{}\mathrm{i}-270336\,a^9\,c^{11}\,d^7\,f^3-a^9\,c^{12}\,d^6\,f^3\,59392{}\mathrm{i}+13312\,a^9\,c^{13}\,d^5\,f^3+a^9\,c^{14}\,d^4\,f^3\,3072{}\mathrm{i}+2048\,a^9\,c^{15}\,d^3\,f^3-32\,\sqrt{-\frac{166005\,c^3\,d^{16}+d^{19}\,3360{}\mathrm{i}-c^2\,d^{17}\,89145{}\mathrm{i}-26460\,c\,d^{18}+c^4\,d^{15}\,182700{}\mathrm{i}-115668\,c^5\,d^{14}-c^6\,d^{13}\,36246{}\mathrm{i}+4446\,c^7\,d^{12}+c^8\,d^{11}\,2916{}\mathrm{i}-1376\,c^9\,d^{10}+c^{10}\,d^9\,879{}\mathrm{i}-339\,c^{11}\,d^8+c^{12}\,d^7\,136{}\mathrm{i}+24\,c^{13}\,d^6+c^{14}\,d^5\,24{}\mathrm{i}+8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(-2048\,a^6\,c^{11}\,d^2\,f^2-a^6\,c^{10}\,d^3\,f^2\,12288{}\mathrm{i}+26624\,a^6\,c^9\,d^4\,f^2+a^6\,c^8\,d^5\,f^2\,16384{}\mathrm{i}+28672\,a^6\,c^7\,d^6\,f^2+a^6\,c^6\,d^7\,f^2\,57344{}\mathrm{i}-28672\,a^6\,c^5\,d^8\,f^2+a^6\,c^4\,d^9\,f^2\,16384{}\mathrm{i}-26624\,a^6\,c^3\,d^{10}\,f^2-a^6\,c^2\,d^{11}\,f^2\,12288{}\mathrm{i}+2048\,a^6\,c\,d^{12}\,f^2\right)\right)+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(8\,c^8\,d^2+c^7\,d^3\,72{}\mathrm{i}-296\,c^6\,d^4-c^5\,d^5\,744{}\mathrm{i}+989\,c^4\,d^6+c^3\,d^7\,114{}\mathrm{i}+1699\,c^2\,d^8+c\,d^9\,2868{}\mathrm{i}+3368\,d^{10}\right)\right)-91746\,a^3\,c^2\,d^{13}\,f-a^3\,c^3\,d^{12}\,f\,106018{}\mathrm{i}+59298\,a^3\,c^4\,d^{11}\,f+a^3\,c^5\,d^{10}\,f\,9918{}\mathrm{i}+1722\,a^3\,c^6\,d^9\,f-a^3\,c^7\,d^8\,f\,1458{}\mathrm{i}+558\,a^3\,c^8\,d^7\,f-a^3\,c^9\,d^6\,f\,402{}\mathrm{i}+32\,a^3\,c^{10}\,d^5\,f-a^3\,c^{11}\,d^4\,f\,36{}\mathrm{i}-8\,a^3\,c^{12}\,d^3\,f+a^3\,c\,d^{14}\,f\,39772{}\mathrm{i}\right)\,\sqrt{-\frac{166005\,c^3\,d^{16}+d^{19}\,3360{}\mathrm{i}-c^2\,d^{17}\,89145{}\mathrm{i}-26460\,c\,d^{18}+c^4\,d^{15}\,182700{}\mathrm{i}-115668\,c^5\,d^{14}-c^6\,d^{13}\,36246{}\mathrm{i}+4446\,c^7\,d^{12}+c^8\,d^{11}\,2916{}\mathrm{i}-1376\,c^9\,d^{10}+c^{10}\,d^9\,879{}\mathrm{i}-339\,c^{11}\,d^8+c^{12}\,d^7\,136{}\mathrm{i}+24\,c^{13}\,d^6+c^{14}\,d^5\,24{}\mathrm{i}+8\,c^{15}\,d^4+4\,a^6\,c^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+4\,a^6\,d^{16}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^2\,d^{14}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^4\,d^{12}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^6\,d^{10}\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+280\,a^6\,c^8\,d^8\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+224\,a^6\,c^{10}\,d^6\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+112\,a^6\,c^{12}\,d^4\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}+32\,a^6\,c^{14}\,d^2\,f^2\,\sqrt{-\frac{-99225\,c^{22}\,d^{16}+c^{21}\,d^{17}\,357210{}\mathrm{i}-419391\,c^{20}\,d^{18}+c^{19}\,d^{19}\,2943864{}\mathrm{i}+4543308\,c^{18}\,d^{20}-c^{17}\,d^{21}\,22399272{}\mathrm{i}-96167196\,c^{16}\,d^{22}+c^{15}\,d^{23}\,135610320{}\mathrm{i}-168903486\,c^{14}\,d^{24}+c^{13}\,d^{25}\,1125122652{}\mathrm{i}+3643998238\,c^{12}\,d^{26}-c^{11}\,d^{27}\,11191236384{}\mathrm{i}-28733517732\,c^{10}\,d^{28}+c^9\,d^{29}\,55255588504{}\mathrm{i}+78468771348\,c^8\,d^{30}-c^7\,d^{31}\,83220576912{}\mathrm{i}-66507970161\,c^6\,d^{32}+c^5\,d^{33}\,40048787610{}\mathrm{i}+17957265129\,c^4\,d^{34}-c^3\,d^{35}\,5831131288{}\mathrm{i}-1299181152\,c^2\,d^{36}+c\,d^{37}\,178072896{}\mathrm{i}+11343424\,d^{38}}{16\,a^{12}\,c^{32}\,f^4+256\,a^{12}\,c^{30}\,d^2\,f^4+1920\,a^{12}\,c^{28}\,d^4\,f^4+8960\,a^{12}\,c^{26}\,d^6\,f^4+29120\,a^{12}\,c^{24}\,d^8\,f^4+69888\,a^{12}\,c^{22}\,d^{10}\,f^4+128128\,a^{12}\,c^{20}\,d^{12}\,f^4+183040\,a^{12}\,c^{18}\,d^{14}\,f^4+205920\,a^{12}\,c^{16}\,d^{16}\,f^4+183040\,a^{12}\,c^{14}\,d^{18}\,f^4+128128\,a^{12}\,c^{12}\,d^{20}\,f^4+69888\,a^{12}\,c^{10}\,d^{22}\,f^4+29120\,a^{12}\,c^8\,d^{24}\,f^4+8960\,a^{12}\,c^6\,d^{26}\,f^4+1920\,a^{12}\,c^4\,d^{28}\,f^4+256\,a^{12}\,c^2\,d^{30}\,f^4+16\,a^{12}\,d^{32}\,f^4}}}{2048\,a^6\,c^{18}\,d^4\,f^2+18432\,a^6\,c^{16}\,d^6\,f^2+73728\,a^6\,c^{14}\,d^8\,f^2+172032\,a^6\,c^{12}\,d^{10}\,f^2+258048\,a^6\,c^{10}\,d^{12}\,f^2+258048\,a^6\,c^8\,d^{14}\,f^2+172032\,a^6\,c^6\,d^{16}\,f^2+73728\,a^6\,c^4\,d^{18}\,f^2+18432\,a^6\,c^2\,d^{20}\,f^2+2048\,a^6\,d^{22}\,f^2}}+\ln\left(6960\,a^3\,d^{15}\,f-\left(\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}-a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}-32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}\,\left(267264\,a^9\,c\,d^{17}\,f^3-a^9\,d^{18}\,f^3\,57344{}\mathrm{i}+a^9\,c^2\,d^{16}\,f^3\,211968{}\mathrm{i}+765952\,a^9\,c^3\,d^{15}\,f^3+a^9\,c^4\,d^{14}\,f^3\,1349632{}\mathrm{i}+396288\,a^9\,c^5\,d^{13}\,f^3+a^9\,c^6\,d^{12}\,f^3\,2135040{}\mathrm{i}-727040\,a^9\,c^7\,d^{11}\,f^3+a^9\,c^8\,d^{10}\,f^3\,1290240{}\mathrm{i}-906240\,a^9\,c^9\,d^9\,f^3+a^9\,c^{10}\,d^8\,f^3\,173056{}\mathrm{i}-270336\,a^9\,c^{11}\,d^7\,f^3-a^9\,c^{12}\,d^6\,f^3\,59392{}\mathrm{i}+13312\,a^9\,c^{13}\,d^5\,f^3+a^9\,c^{14}\,d^4\,f^3\,3072{}\mathrm{i}+2048\,a^9\,c^{15}\,d^3\,f^3+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}-a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}-32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(-2048\,a^6\,c^{11}\,d^2\,f^2-a^6\,c^{10}\,d^3\,f^2\,12288{}\mathrm{i}+26624\,a^6\,c^9\,d^4\,f^2+a^6\,c^8\,d^5\,f^2\,16384{}\mathrm{i}+28672\,a^6\,c^7\,d^6\,f^2+a^6\,c^6\,d^7\,f^2\,57344{}\mathrm{i}-28672\,a^6\,c^5\,d^8\,f^2+a^6\,c^4\,d^9\,f^2\,16384{}\mathrm{i}-26624\,a^6\,c^3\,d^{10}\,f^2-a^6\,c^2\,d^{11}\,f^2\,12288{}\mathrm{i}+2048\,a^6\,c\,d^{12}\,f^2\right)\right)-32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(8\,c^8\,d^2+c^7\,d^3\,72{}\mathrm{i}-296\,c^6\,d^4-c^5\,d^5\,744{}\mathrm{i}+989\,c^4\,d^6+c^3\,d^7\,114{}\mathrm{i}+1699\,c^2\,d^8+c\,d^9\,2868{}\mathrm{i}+3368\,d^{10}\right)\right)\,\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}-a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}-32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}-91746\,a^3\,c^2\,d^{13}\,f-a^3\,c^3\,d^{12}\,f\,106018{}\mathrm{i}+59298\,a^3\,c^4\,d^{11}\,f+a^3\,c^5\,d^{10}\,f\,9918{}\mathrm{i}+1722\,a^3\,c^6\,d^9\,f-a^3\,c^7\,d^8\,f\,1458{}\mathrm{i}+558\,a^3\,c^8\,d^7\,f-a^3\,c^9\,d^6\,f\,402{}\mathrm{i}+32\,a^3\,c^{10}\,d^5\,f-a^3\,c^{11}\,d^4\,f\,36{}\mathrm{i}-8\,a^3\,c^{12}\,d^3\,f+a^3\,c\,d^{14}\,f\,39772{}\mathrm{i}\right)\,\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}-a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}+24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}-32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}-32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(6960\,a^3\,d^{15}\,f-\left(\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}+a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}+32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}\,\left(267264\,a^9\,c\,d^{17}\,f^3-a^9\,d^{18}\,f^3\,57344{}\mathrm{i}+a^9\,c^2\,d^{16}\,f^3\,211968{}\mathrm{i}+765952\,a^9\,c^3\,d^{15}\,f^3+a^9\,c^4\,d^{14}\,f^3\,1349632{}\mathrm{i}+396288\,a^9\,c^5\,d^{13}\,f^3+a^9\,c^6\,d^{12}\,f^3\,2135040{}\mathrm{i}-727040\,a^9\,c^7\,d^{11}\,f^3+a^9\,c^8\,d^{10}\,f^3\,1290240{}\mathrm{i}-906240\,a^9\,c^9\,d^9\,f^3+a^9\,c^{10}\,d^8\,f^3\,173056{}\mathrm{i}-270336\,a^9\,c^{11}\,d^7\,f^3-a^9\,c^{12}\,d^6\,f^3\,59392{}\mathrm{i}+13312\,a^9\,c^{13}\,d^5\,f^3+a^9\,c^{14}\,d^4\,f^3\,3072{}\mathrm{i}+2048\,a^9\,c^{15}\,d^3\,f^3+32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}+a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}+32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(-2048\,a^6\,c^{11}\,d^2\,f^2-a^6\,c^{10}\,d^3\,f^2\,12288{}\mathrm{i}+26624\,a^6\,c^9\,d^4\,f^2+a^6\,c^8\,d^5\,f^2\,16384{}\mathrm{i}+28672\,a^6\,c^7\,d^6\,f^2+a^6\,c^6\,d^7\,f^2\,57344{}\mathrm{i}-28672\,a^6\,c^5\,d^8\,f^2+a^6\,c^4\,d^9\,f^2\,16384{}\mathrm{i}-26624\,a^6\,c^3\,d^{10}\,f^2-a^6\,c^2\,d^{11}\,f^2\,12288{}\mathrm{i}+2048\,a^6\,c\,d^{12}\,f^2\right)\right)-32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^6\,f^2+a^6\,c^5\,d\,f^2\,6{}\mathrm{i}+15\,a^6\,c^4\,d^2\,f^2-a^6\,c^3\,d^3\,f^2\,20{}\mathrm{i}-15\,a^6\,c^2\,d^4\,f^2+a^6\,c\,d^5\,f^2\,6{}\mathrm{i}+a^6\,d^6\,f^2\right)\,\left(8\,c^8\,d^2+c^7\,d^3\,72{}\mathrm{i}-296\,c^6\,d^4-c^5\,d^5\,744{}\mathrm{i}+989\,c^4\,d^6+c^3\,d^7\,114{}\mathrm{i}+1699\,c^2\,d^8+c\,d^9\,2868{}\mathrm{i}+3368\,d^{10}\right)\right)\,\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}+a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}+32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}-91746\,a^3\,c^2\,d^{13}\,f-a^3\,c^3\,d^{12}\,f\,106018{}\mathrm{i}+59298\,a^3\,c^4\,d^{11}\,f+a^3\,c^5\,d^{10}\,f\,9918{}\mathrm{i}+1722\,a^3\,c^6\,d^9\,f-a^3\,c^7\,d^8\,f\,1458{}\mathrm{i}+558\,a^3\,c^8\,d^7\,f-a^3\,c^9\,d^6\,f\,402{}\mathrm{i}+32\,a^3\,c^{10}\,d^5\,f-a^3\,c^{11}\,d^4\,f\,36{}\mathrm{i}-8\,a^3\,c^{12}\,d^3\,f+a^3\,c\,d^{14}\,f\,39772{}\mathrm{i}\right)\,\sqrt{-\frac{c\,d^{12}\,6300{}\mathrm{i}+3360\,d^{13}-945\,c^2\,d^{11}+c^3\,d^{10}\,1365{}\mathrm{i}+315\,c^4\,d^9+c^5\,d^8\,693{}\mathrm{i}+672\,c^6\,d^7-c^7\,d^6\,288{}\mathrm{i}-72\,c^8\,d^5+c^9\,d^4\,8{}\mathrm{i}+a^6\,c^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-a^6\,d^{10}\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,4{}\mathrm{i}-24\,a^6\,c\,d^9\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-24\,a^6\,c^9\,d\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^2\,d^8\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}+32\,a^6\,c^3\,d^7\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}+a^6\,c^4\,d^6\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+112\,a^6\,c^5\,d^5\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^6\,d^4\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,56{}\mathrm{i}+32\,a^6\,c^7\,d^3\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}-a^6\,c^8\,d^2\,f^2\,\sqrt{4\,\left(\frac{-\frac{c^{12}\,d^4}{256}+\frac{3\,c^{10}\,d^6}{64}+\frac{423\,c^8\,d^8}{1024}+\frac{987\,c^6\,d^{10}}{1024}-\frac{5247\,c^4\,d^{12}}{1024}+\frac{29973\,c^2\,d^{14}}{1024}-\frac{841\,d^{16}}{256}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}+\frac{\left(-\frac{3\,c^{11}\,d^5}{128}+\frac{c^9\,d^7}{128}+\frac{261\,c^7\,d^9}{512}+\frac{171\,c^5\,d^{11}}{128}+\frac{11861\,c^3\,d^{13}}{512}-\frac{4089\,c\,d^{15}}{256}\right)\,1{}\mathrm{i}}{a^{12}\,c^{16}\,f^4+8\,a^{12}\,c^{14}\,d^2\,f^4+28\,a^{12}\,c^{12}\,d^4\,f^4+56\,a^{12}\,c^{10}\,d^6\,f^4+70\,a^{12}\,c^8\,d^8\,f^4+56\,a^{12}\,c^6\,d^{10}\,f^4+28\,a^{12}\,c^4\,d^{12}\,f^4+8\,a^{12}\,c^2\,d^{14}\,f^4+a^{12}\,d^{16}\,f^4}\right)\,\left(256\,c^2\,d^4+256\,d^6\right)+{\left(-\frac{-2\,c^{15}\,d^4-6\,c^{13}\,d^6+\frac{339\,c^{11}\,d^8}{4}+344\,c^9\,d^{10}-\frac{2223\,c^7\,d^{12}}{2}+28917\,c^5\,d^{14}-\frac{166005\,c^3\,d^{16}}{4}+6615\,c\,d^{18}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}+\frac{\left(6\,c^{14}\,d^5+34\,c^{12}\,d^7+\frac{879\,c^{10}\,d^9}{4}+729\,c^8\,d^{11}-\frac{18123\,c^6\,d^{13}}{2}+45675\,c^4\,d^{15}-\frac{89145\,c^2\,d^{17}}{4}+840\,d^{19}\right)\,1{}\mathrm{i}}{a^6\,c^{16}\,f^2+8\,a^6\,c^{14}\,d^2\,f^2+28\,a^6\,c^{12}\,d^4\,f^2+56\,a^6\,c^{10}\,d^6\,f^2+70\,a^6\,c^8\,d^8\,f^2+56\,a^6\,c^6\,d^{10}\,f^2+28\,a^6\,c^4\,d^{12}\,f^2+8\,a^6\,c^2\,d^{14}\,f^2+a^6\,d^{16}\,f^2}\right)}^2}\,52{}\mathrm{i}}{2048\,\left(c^2\,d^4+d^6\right)\,\left(a^6\,c^{10}\,f^2\,1{}\mathrm{i}-6\,a^6\,c^9\,d\,f^2-a^6\,c^8\,d^2\,f^2\,13{}\mathrm{i}+8\,a^6\,c^7\,d^3\,f^2-a^6\,c^6\,d^4\,f^2\,14{}\mathrm{i}+28\,a^6\,c^5\,d^5\,f^2+a^6\,c^4\,d^6\,f^2\,14{}\mathrm{i}+8\,a^6\,c^3\,d^7\,f^2+a^6\,c^2\,d^8\,f^2\,13{}\mathrm{i}-6\,a^6\,c\,d^9\,f^2-a^6\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}+\frac{\frac{2\,d^4}{1{}\mathrm{i}\,f\,a^3\,c^2+1{}\mathrm{i}\,f\,a^3\,d^2}+\frac{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(10\,c^3\,d+c^2\,d^2\,55{}\mathrm{i}-135\,c\,d^3+d^4\,680{}\mathrm{i}\right)}{80\,\left(f\,a^3\,c^3+1{}\mathrm{i}\,f\,a^3\,c^2\,d+f\,a^3\,c\,d^2+1{}\mathrm{i}\,f\,a^3\,d^3\right)}+\frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2\,\left(12\,c^3\,d+c^2\,d^2\,60{}\mathrm{i}-124\,c\,d^3+d^4\,484{}\mathrm{i}\right)}{48\,a^3\,f\,\left(c-d\,1{}\mathrm{i}\right)\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}-\frac{d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3\,\left(2\,c^3+c^2\,d\,9{}\mathrm{i}-17\,c\,d^2+d^3\,60{}\mathrm{i}\right)}{16\,a^3\,f\,\left(c^2+d^2\right)\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)+{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(3\,c^2+c\,d\,6{}\mathrm{i}-3\,d^2\right)-\left(3\,c+d\,3{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}","Not used",1,"log(6960*a^3*d^15*f - ((-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i - a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i - 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2)*(267264*a^9*c*d^17*f^3 - a^9*d^18*f^3*57344i + a^9*c^2*d^16*f^3*211968i + 765952*a^9*c^3*d^15*f^3 + a^9*c^4*d^14*f^3*1349632i + 396288*a^9*c^5*d^13*f^3 + a^9*c^6*d^12*f^3*2135040i - 727040*a^9*c^7*d^11*f^3 + a^9*c^8*d^10*f^3*1290240i - 906240*a^9*c^9*d^9*f^3 + a^9*c^10*d^8*f^3*173056i - 270336*a^9*c^11*d^7*f^3 - a^9*c^12*d^6*f^3*59392i + 13312*a^9*c^13*d^5*f^3 + a^9*c^14*d^4*f^3*3072i + 2048*a^9*c^15*d^3*f^3 + 32*(c + d*tan(e + f*x))^(1/2)*(-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i - a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i - 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(2048*a^6*c*d^12*f^2 - a^6*c^2*d^11*f^2*12288i - 26624*a^6*c^3*d^10*f^2 + a^6*c^4*d^9*f^2*16384i - 28672*a^6*c^5*d^8*f^2 + a^6*c^6*d^7*f^2*57344i + 28672*a^6*c^7*d^6*f^2 + a^6*c^8*d^5*f^2*16384i + 26624*a^6*c^9*d^4*f^2 - a^6*c^10*d^3*f^2*12288i - 2048*a^6*c^11*d^2*f^2)) - 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(c*d^9*2868i + 3368*d^10 + 1699*c^2*d^8 + c^3*d^7*114i + 989*c^4*d^6 - c^5*d^5*744i - 296*c^6*d^4 + c^7*d^3*72i + 8*c^8*d^2))*(-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i - a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i - 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2) - 91746*a^3*c^2*d^13*f - a^3*c^3*d^12*f*106018i + 59298*a^3*c^4*d^11*f + a^3*c^5*d^10*f*9918i + 1722*a^3*c^6*d^9*f - a^3*c^7*d^8*f*1458i + 558*a^3*c^8*d^7*f - a^3*c^9*d^6*f*402i + 32*a^3*c^10*d^5*f - a^3*c^11*d^4*f*36i - 8*a^3*c^12*d^3*f + a^3*c*d^14*f*39772i)*(-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i - a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i + 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i - 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i - 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2) - log(6960*a^3*d^15*f - (-(d^19*3360i - 26460*c*d^18 - c^2*d^17*89145i + 166005*c^3*d^16 + c^4*d^15*182700i - 115668*c^5*d^14 - c^6*d^13*36246i + 4446*c^7*d^12 + c^8*d^11*2916i - 1376*c^9*d^10 + c^10*d^9*879i - 339*c^11*d^8 + c^12*d^7*136i + 24*c^13*d^6 + c^14*d^5*24i + 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2)*((-(d^19*3360i - 26460*c*d^18 - c^2*d^17*89145i + 166005*c^3*d^16 + c^4*d^15*182700i - 115668*c^5*d^14 - c^6*d^13*36246i + 4446*c^7*d^12 + c^8*d^11*2916i - 1376*c^9*d^10 + c^10*d^9*879i - 339*c^11*d^8 + c^12*d^7*136i + 24*c^13*d^6 + c^14*d^5*24i + 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2)*(267264*a^9*c*d^17*f^3 - a^9*d^18*f^3*57344i + a^9*c^2*d^16*f^3*211968i + 765952*a^9*c^3*d^15*f^3 + a^9*c^4*d^14*f^3*1349632i + 396288*a^9*c^5*d^13*f^3 + a^9*c^6*d^12*f^3*2135040i - 727040*a^9*c^7*d^11*f^3 + a^9*c^8*d^10*f^3*1290240i - 906240*a^9*c^9*d^9*f^3 + a^9*c^10*d^8*f^3*173056i - 270336*a^9*c^11*d^7*f^3 - a^9*c^12*d^6*f^3*59392i + 13312*a^9*c^13*d^5*f^3 + a^9*c^14*d^4*f^3*3072i + 2048*a^9*c^15*d^3*f^3 - 32*(-(d^19*3360i - 26460*c*d^18 - c^2*d^17*89145i + 166005*c^3*d^16 + c^4*d^15*182700i - 115668*c^5*d^14 - c^6*d^13*36246i + 4446*c^7*d^12 + c^8*d^11*2916i - 1376*c^9*d^10 + c^10*d^9*879i - 339*c^11*d^8 + c^12*d^7*136i + 24*c^13*d^6 + c^14*d^5*24i + 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(2048*a^6*c*d^12*f^2 - a^6*c^2*d^11*f^2*12288i - 26624*a^6*c^3*d^10*f^2 + a^6*c^4*d^9*f^2*16384i - 28672*a^6*c^5*d^8*f^2 + a^6*c^6*d^7*f^2*57344i + 28672*a^6*c^7*d^6*f^2 + a^6*c^8*d^5*f^2*16384i + 26624*a^6*c^9*d^4*f^2 - a^6*c^10*d^3*f^2*12288i - 2048*a^6*c^11*d^2*f^2)) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(c*d^9*2868i + 3368*d^10 + 1699*c^2*d^8 + c^3*d^7*114i + 989*c^4*d^6 - c^5*d^5*744i - 296*c^6*d^4 + c^7*d^3*72i + 8*c^8*d^2)) - 91746*a^3*c^2*d^13*f - a^3*c^3*d^12*f*106018i + 59298*a^3*c^4*d^11*f + a^3*c^5*d^10*f*9918i + 1722*a^3*c^6*d^9*f - a^3*c^7*d^8*f*1458i + 558*a^3*c^8*d^7*f - a^3*c^9*d^6*f*402i + 32*a^3*c^10*d^5*f - a^3*c^11*d^4*f*36i - 8*a^3*c^12*d^3*f + a^3*c*d^14*f*39772i)*(-(d^19*3360i - 26460*c*d^18 - c^2*d^17*89145i + 166005*c^3*d^16 + c^4*d^15*182700i - 115668*c^5*d^14 - c^6*d^13*36246i + 4446*c^7*d^12 + c^8*d^11*2916i - 1376*c^9*d^10 + c^10*d^9*879i - 339*c^11*d^8 + c^12*d^7*136i + 24*c^13*d^6 + c^14*d^5*24i + 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2) - log(6960*a^3*d^15*f - ((26460*c*d^18 - d^19*3360i + c^2*d^17*89145i - 166005*c^3*d^16 - c^4*d^15*182700i + 115668*c^5*d^14 + c^6*d^13*36246i - 4446*c^7*d^12 - c^8*d^11*2916i + 1376*c^9*d^10 - c^10*d^9*879i + 339*c^11*d^8 - c^12*d^7*136i - 24*c^13*d^6 - c^14*d^5*24i - 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2)*(((26460*c*d^18 - d^19*3360i + c^2*d^17*89145i - 166005*c^3*d^16 - c^4*d^15*182700i + 115668*c^5*d^14 + c^6*d^13*36246i - 4446*c^7*d^12 - c^8*d^11*2916i + 1376*c^9*d^10 - c^10*d^9*879i + 339*c^11*d^8 - c^12*d^7*136i - 24*c^13*d^6 - c^14*d^5*24i - 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2)*(267264*a^9*c*d^17*f^3 - a^9*d^18*f^3*57344i + a^9*c^2*d^16*f^3*211968i + 765952*a^9*c^3*d^15*f^3 + a^9*c^4*d^14*f^3*1349632i + 396288*a^9*c^5*d^13*f^3 + a^9*c^6*d^12*f^3*2135040i - 727040*a^9*c^7*d^11*f^3 + a^9*c^8*d^10*f^3*1290240i - 906240*a^9*c^9*d^9*f^3 + a^9*c^10*d^8*f^3*173056i - 270336*a^9*c^11*d^7*f^3 - a^9*c^12*d^6*f^3*59392i + 13312*a^9*c^13*d^5*f^3 + a^9*c^14*d^4*f^3*3072i + 2048*a^9*c^15*d^3*f^3 - 32*((26460*c*d^18 - d^19*3360i + c^2*d^17*89145i - 166005*c^3*d^16 - c^4*d^15*182700i + 115668*c^5*d^14 + c^6*d^13*36246i - 4446*c^7*d^12 - c^8*d^11*2916i + 1376*c^9*d^10 - c^10*d^9*879i + 339*c^11*d^8 - c^12*d^7*136i - 24*c^13*d^6 - c^14*d^5*24i - 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(2048*a^6*c*d^12*f^2 - a^6*c^2*d^11*f^2*12288i - 26624*a^6*c^3*d^10*f^2 + a^6*c^4*d^9*f^2*16384i - 28672*a^6*c^5*d^8*f^2 + a^6*c^6*d^7*f^2*57344i + 28672*a^6*c^7*d^6*f^2 + a^6*c^8*d^5*f^2*16384i + 26624*a^6*c^9*d^4*f^2 - a^6*c^10*d^3*f^2*12288i - 2048*a^6*c^11*d^2*f^2)) + 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(c*d^9*2868i + 3368*d^10 + 1699*c^2*d^8 + c^3*d^7*114i + 989*c^4*d^6 - c^5*d^5*744i - 296*c^6*d^4 + c^7*d^3*72i + 8*c^8*d^2)) - 91746*a^3*c^2*d^13*f - a^3*c^3*d^12*f*106018i + 59298*a^3*c^4*d^11*f + a^3*c^5*d^10*f*9918i + 1722*a^3*c^6*d^9*f - a^3*c^7*d^8*f*1458i + 558*a^3*c^8*d^7*f - a^3*c^9*d^6*f*402i + 32*a^3*c^10*d^5*f - a^3*c^11*d^4*f*36i - 8*a^3*c^12*d^3*f + a^3*c*d^14*f*39772i)*((26460*c*d^18 - d^19*3360i + c^2*d^17*89145i - 166005*c^3*d^16 - c^4*d^15*182700i + 115668*c^5*d^14 + c^6*d^13*36246i - 4446*c^7*d^12 - c^8*d^11*2916i + 1376*c^9*d^10 - c^10*d^9*879i + 339*c^11*d^8 - c^12*d^7*136i - 24*c^13*d^6 - c^14*d^5*24i - 8*c^15*d^4 + 4*a^6*c^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 4*a^6*d^16*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^2*d^14*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^4*d^12*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^6*d^10*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 280*a^6*c^8*d^8*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 224*a^6*c^10*d^6*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 112*a^6*c^12*d^4*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2) + 32*a^6*c^14*d^2*f^2*(-(c*d^37*178072896i + 11343424*d^38 - 1299181152*c^2*d^36 - c^3*d^35*5831131288i + 17957265129*c^4*d^34 + c^5*d^33*40048787610i - 66507970161*c^6*d^32 - c^7*d^31*83220576912i + 78468771348*c^8*d^30 + c^9*d^29*55255588504i - 28733517732*c^10*d^28 - c^11*d^27*11191236384i + 3643998238*c^12*d^26 + c^13*d^25*1125122652i - 168903486*c^14*d^24 + c^15*d^23*135610320i - 96167196*c^16*d^22 - c^17*d^21*22399272i + 4543308*c^18*d^20 + c^19*d^19*2943864i - 419391*c^20*d^18 + c^21*d^17*357210i - 99225*c^22*d^16)/(16*a^12*c^32*f^4 + 16*a^12*d^32*f^4 + 256*a^12*c^2*d^30*f^4 + 1920*a^12*c^4*d^28*f^4 + 8960*a^12*c^6*d^26*f^4 + 29120*a^12*c^8*d^24*f^4 + 69888*a^12*c^10*d^22*f^4 + 128128*a^12*c^12*d^20*f^4 + 183040*a^12*c^14*d^18*f^4 + 205920*a^12*c^16*d^16*f^4 + 183040*a^12*c^18*d^14*f^4 + 128128*a^12*c^20*d^12*f^4 + 69888*a^12*c^22*d^10*f^4 + 29120*a^12*c^24*d^8*f^4 + 8960*a^12*c^26*d^6*f^4 + 1920*a^12*c^28*d^4*f^4 + 256*a^12*c^30*d^2*f^4))^(1/2))/(2048*a^6*d^22*f^2 + 18432*a^6*c^2*d^20*f^2 + 73728*a^6*c^4*d^18*f^2 + 172032*a^6*c^6*d^16*f^2 + 258048*a^6*c^8*d^14*f^2 + 258048*a^6*c^10*d^12*f^2 + 172032*a^6*c^12*d^10*f^2 + 73728*a^6*c^14*d^8*f^2 + 18432*a^6*c^16*d^6*f^2 + 2048*a^6*c^18*d^4*f^2))^(1/2) + log(6960*a^3*d^15*f - ((-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i + a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i + 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2)*(267264*a^9*c*d^17*f^3 - a^9*d^18*f^3*57344i + a^9*c^2*d^16*f^3*211968i + 765952*a^9*c^3*d^15*f^3 + a^9*c^4*d^14*f^3*1349632i + 396288*a^9*c^5*d^13*f^3 + a^9*c^6*d^12*f^3*2135040i - 727040*a^9*c^7*d^11*f^3 + a^9*c^8*d^10*f^3*1290240i - 906240*a^9*c^9*d^9*f^3 + a^9*c^10*d^8*f^3*173056i - 270336*a^9*c^11*d^7*f^3 - a^9*c^12*d^6*f^3*59392i + 13312*a^9*c^13*d^5*f^3 + a^9*c^14*d^4*f^3*3072i + 2048*a^9*c^15*d^3*f^3 + 32*(c + d*tan(e + f*x))^(1/2)*(-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i + a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i + 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(2048*a^6*c*d^12*f^2 - a^6*c^2*d^11*f^2*12288i - 26624*a^6*c^3*d^10*f^2 + a^6*c^4*d^9*f^2*16384i - 28672*a^6*c^5*d^8*f^2 + a^6*c^6*d^7*f^2*57344i + 28672*a^6*c^7*d^6*f^2 + a^6*c^8*d^5*f^2*16384i + 26624*a^6*c^9*d^4*f^2 - a^6*c^10*d^3*f^2*12288i - 2048*a^6*c^11*d^2*f^2)) - 32*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6*f^2 - a^6*c^6*f^2 + a^6*c*d^5*f^2*6i + a^6*c^5*d*f^2*6i - 15*a^6*c^2*d^4*f^2 - a^6*c^3*d^3*f^2*20i + 15*a^6*c^4*d^2*f^2)*(c*d^9*2868i + 3368*d^10 + 1699*c^2*d^8 + c^3*d^7*114i + 989*c^4*d^6 - c^5*d^5*744i - 296*c^6*d^4 + c^7*d^3*72i + 8*c^8*d^2))*(-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i + a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i + 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2) - 91746*a^3*c^2*d^13*f - a^3*c^3*d^12*f*106018i + 59298*a^3*c^4*d^11*f + a^3*c^5*d^10*f*9918i + 1722*a^3*c^6*d^9*f - a^3*c^7*d^8*f*1458i + 558*a^3*c^8*d^7*f - a^3*c^9*d^6*f*402i + 32*a^3*c^10*d^5*f - a^3*c^11*d^4*f*36i - 8*a^3*c^12*d^3*f + a^3*c*d^14*f*39772i)*(-(c*d^12*6300i + 3360*d^13 - 945*c^2*d^11 + c^3*d^10*1365i + 315*c^4*d^9 + c^5*d^8*693i + 672*c^6*d^7 - c^7*d^6*288i - 72*c^8*d^5 + c^9*d^4*8i + a^6*c^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - a^6*d^10*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*4i - 24*a^6*c*d^9*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - 24*a^6*c^9*d*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^2*d^8*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i + 32*a^6*c^3*d^7*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) + a^6*c^4*d^6*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 112*a^6*c^5*d^5*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^6*d^4*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*56i + 32*a^6*c^7*d^3*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2) - a^6*c^8*d^2*f^2*(4*(((29973*c^2*d^14)/1024 - (841*d^16)/256 - (5247*c^4*d^12)/1024 + (987*c^6*d^10)/1024 + (423*c^8*d^8)/1024 + (3*c^10*d^6)/64 - (c^12*d^4)/256)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4) + (((11861*c^3*d^13)/512 - (4089*c*d^15)/256 + (171*c^5*d^11)/128 + (261*c^7*d^9)/512 + (c^9*d^7)/128 - (3*c^11*d^5)/128)*1i)/(a^12*c^16*f^4 + a^12*d^16*f^4 + 8*a^12*c^2*d^14*f^4 + 28*a^12*c^4*d^12*f^4 + 56*a^12*c^6*d^10*f^4 + 70*a^12*c^8*d^8*f^4 + 56*a^12*c^10*d^6*f^4 + 28*a^12*c^12*d^4*f^4 + 8*a^12*c^14*d^2*f^4))*(256*d^6 + 256*c^2*d^4) + (((840*d^19 - (89145*c^2*d^17)/4 + 45675*c^4*d^15 - (18123*c^6*d^13)/2 + 729*c^8*d^11 + (879*c^10*d^9)/4 + 34*c^12*d^7 + 6*c^14*d^5)*1i)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2) - (6615*c*d^18 - (166005*c^3*d^16)/4 + 28917*c^5*d^14 - (2223*c^7*d^12)/2 + 344*c^9*d^10 + (339*c^11*d^8)/4 - 6*c^13*d^6 - 2*c^15*d^4)/(a^6*c^16*f^2 + a^6*d^16*f^2 + 8*a^6*c^2*d^14*f^2 + 28*a^6*c^4*d^12*f^2 + 56*a^6*c^6*d^10*f^2 + 70*a^6*c^8*d^8*f^2 + 56*a^6*c^10*d^6*f^2 + 28*a^6*c^12*d^4*f^2 + 8*a^6*c^14*d^2*f^2))^2)^(1/2)*52i)/(2048*(d^6 + c^2*d^4)*(a^6*c^10*f^2*1i - a^6*d^10*f^2*1i - 6*a^6*c*d^9*f^2 - 6*a^6*c^9*d*f^2 + a^6*c^2*d^8*f^2*13i + 8*a^6*c^3*d^7*f^2 + a^6*c^4*d^6*f^2*14i + 28*a^6*c^5*d^5*f^2 - a^6*c^6*d^4*f^2*14i + 8*a^6*c^7*d^3*f^2 - a^6*c^8*d^2*f^2*13i)))^(1/2) + ((2*d^4)/(a^3*c^2*f*1i + a^3*d^2*f*1i) + ((c + d*tan(e + f*x))*(10*c^3*d - 135*c*d^3 + d^4*680i + c^2*d^2*55i))/(80*(a^3*c^3*f + a^3*d^3*f*1i + a^3*c*d^2*f + a^3*c^2*d*f*1i)) + ((c + d*tan(e + f*x))^2*(12*c^3*d - 124*c*d^3 + d^4*484i + c^2*d^2*60i))/(48*a^3*f*(c - d*1i)*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)) - (d*(c + d*tan(e + f*x))^3*(c^2*d*9i - 17*c*d^2 + 2*c^3 + d^3*60i))/(16*a^3*f*(c^2 + d^2)*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)))/((c + d*tan(e + f*x))^(7/2) + (c + d*tan(e + f*x))^(1/2)*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i) + (c + d*tan(e + f*x))^(3/2)*(c*d*6i + 3*c^2 - 3*d^2) - (3*c + d*3i)*(c + d*tan(e + f*x))^(5/2))","B"
1131,1,255,158,9.145005,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3/(c + d*tan(e + f*x))^(5/2),x)","-\frac{\frac{\left(a^3\,c^2+a^3\,c\,d\,2{}\mathrm{i}-a^3\,d^2\right)\,2{}\mathrm{i}}{3\,d^2\,f\,\left(c-d\,1{}\mathrm{i}\right)}-\frac{a^3\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(c^2-c\,d\,2{}\mathrm{i}+3\,d^2\right)\,2{}\mathrm{i}}{d^2\,f\,{\left(c-d\,1{}\mathrm{i}\right)}^2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{a^3\,\mathrm{atan}\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^8\,f^2+8\,c^6\,d^2\,f^2+12\,c^4\,d^4\,f^2+8\,c^2\,d^6\,f^2+2\,d^8\,f^2\right)}{2\,f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{5/2}\,\left(f\,c^6+2{}\mathrm{i}\,f\,c^5\,d+f\,c^4\,d^2+4{}\mathrm{i}\,f\,c^3\,d^3-f\,c^2\,d^4+2{}\mathrm{i}\,f\,c\,d^5-f\,d^6\right)}\right)\,8{}\mathrm{i}}{f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{5/2}}","Not used",1,"(a^3*atan(((c + d*tan(e + f*x))^(1/2)*(2*c^8*f^2 + 2*d^8*f^2 + 8*c^2*d^6*f^2 + 12*c^4*d^4*f^2 + 8*c^6*d^2*f^2))/(2*f*(d*1i - c)^(5/2)*(c^6*f - d^6*f - c^2*d^4*f + c^3*d^3*f*4i + c^4*d^2*f + c*d^5*f*2i + c^5*d*f*2i)))*8i)/(f*(d*1i - c)^(5/2)) - (((a^3*c^2 - a^3*d^2 + a^3*c*d*2i)*2i)/(3*d^2*f*(c - d*1i)) - (a^3*(c + d*tan(e + f*x))*(c^2 - c*d*2i + 3*d^2)*2i)/(d^2*f*(c - d*1i)^2))/(c + d*tan(e + f*x))^(3/2)","B"
1132,1,221,127,8.903782,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(c + d*tan(e + f*x))^(5/2),x)","\frac{\frac{a^2\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,4{}\mathrm{i}}{f\,{\left(c-d\,1{}\mathrm{i}\right)}^2}+\frac{2\,a^2\,\left(c+d\,1{}\mathrm{i}\right)}{3\,d\,f\,\left(c-d\,1{}\mathrm{i}\right)}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{a^2\,\mathrm{atan}\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c^8\,f^2+8\,c^6\,d^2\,f^2+12\,c^4\,d^4\,f^2+8\,c^2\,d^6\,f^2+2\,d^8\,f^2\right)}{2\,f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{5/2}\,\left(f\,c^6+2{}\mathrm{i}\,f\,c^5\,d+f\,c^4\,d^2+4{}\mathrm{i}\,f\,c^3\,d^3-f\,c^2\,d^4+2{}\mathrm{i}\,f\,c\,d^5-f\,d^6\right)}\right)\,4{}\mathrm{i}}{f\,{\left(-c+d\,1{}\mathrm{i}\right)}^{5/2}}","Not used",1,"((a^2*(c + d*tan(e + f*x))*4i)/(f*(c - d*1i)^2) + (2*a^2*(c + d*1i))/(3*d*f*(c - d*1i)))/(c + d*tan(e + f*x))^(3/2) + (a^2*atan(((c + d*tan(e + f*x))^(1/2)*(2*c^8*f^2 + 2*d^8*f^2 + 8*c^2*d^6*f^2 + 12*c^4*d^4*f^2 + 8*c^6*d^2*f^2))/(2*f*(d*1i - c)^(5/2)*(c^6*f - d^6*f - c^2*d^4*f + c^3*d^3*f*4i + c^4*d^2*f + c*d^5*f*2i + c^5*d*f*2i)))*4i)/(f*(d*1i - c)^(5/2))","B"
1133,1,7068,109,25.067728,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(c + d*tan(e + f*x))^(5/2),x)","\frac{\frac{a\,c\,2{}\mathrm{i}}{3\,f\,\left(c^2+d^2\right)}+\frac{a\,\left(c^2-d^2\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,2{}\mathrm{i}}{f\,{\left(c^2+d^2\right)}^2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)-\frac{\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)}{4}-32\,a\,d^{21}\,f^4-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4+896\,a\,c^6\,d^{15}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)}{4}\right)}{4}+16\,a^3\,c\,d^{15}\,f^2+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)-\frac{\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)}{4}-32\,a\,d^{21}\,f^4-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4+896\,a\,c^6\,d^{15}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)}{4}\right)}{4}+16\,a^3\,c\,d^{15}\,f^2+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}-\ln\left(16\,a^3\,c\,d^{15}\,f^2-\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)+\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(896\,a\,c^6\,d^{15}\,f^4-\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4-32\,a\,d^{21}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)\right)+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}-\ln\left(16\,a^3\,c\,d^{15}\,f^2-\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)+\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(896\,a\,c^6\,d^{15}\,f^4-\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4-32\,a\,d^{21}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)\right)+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}+\frac{\ln\left(-\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}-\frac{32\,a\,c\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,3{}\mathrm{i}\right)}{f\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{8\,a^3\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f^3\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}-\frac{32\,a\,c\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,3{}\mathrm{i}\right)}{f\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{8\,a^3\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f^3\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}-\ln\left(\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}+\frac{32\,a\,c\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,3{}\mathrm{i}\right)}{f\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{8\,a^3\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f^3\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}-\ln\left(\frac{\left(\frac{\left(16\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}+\frac{32\,a\,c\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,3{}\mathrm{i}\right)}{f\,{\left(c^2+d^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{f^4\,{\left(c^2+d^2\right)}^5}}}{4}+\frac{8\,a^3\,d^2\,\left(c^2\,1{}\mathrm{i}-d^2\,1{}\mathrm{i}\right)}{f^3\,{\left(c^2+d^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}-\frac{\frac{2\,a\,d}{3\,\left(c^2+d^2\right)}+\frac{4\,a\,c\,d\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}{{\left(c^2+d^2\right)}^2}}{f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"((a*c*2i)/(3*f*(c^2 + d^2)) + (a*(c^2 - d^2)*(c + d*tan(e + f*x))*2i)/(f*(c^2 + d^2)^2))/(c + d*tan(e + f*x))^(3/2) + (log(((((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) - ((((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5))/4 - 32*a*d^21*f^4 - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 + 896*a*c^6*d^15*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4))/4))/4 + 16*a^3*c*d^15*f^2 + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 + (log(((-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) - ((-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5))/4 - 32*a*d^21*f^4 - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 + 896*a*c^6*d^15*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4))/4))/4 + 16*a^3*c*d^15*f^2 + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 - log(16*a^3*c*d^15*f^2 - (((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) + (((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(896*a*c^6*d^15*f^4 - (((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 - 32*a*d^21*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4)) + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - log(16*a^3*c*d^15*f^2 - (-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) + (-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(896*a*c^6*d^15*f^4 - (-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 - 32*a*d^21*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4)) + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + (log((8*a^3*d^2*(c^2*1i - d^2*1i))/(f^3*(c^2 + d^2)^4) - ((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*((4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2) - (32*a*c*d^2*(c^2*1i - d^2*3i))/(f*(c^2 + d^2)^2))*((4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4 + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/(f^2*(c^2 + d^2)^4))*((4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4)*(((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 + (log((8*a^3*d^2*(c^2*1i - d^2*1i))/(f^3*(c^2 + d^2)^4) - ((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2) - (32*a*c*d^2*(c^2*1i - d^2*3i))/(f*(c^2 + d^2)^2))*(-(4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4 + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/(f^2*(c^2 + d^2)^4))*(-(4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4)*(-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 - log(((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*((4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2) + (32*a*c*d^2*(c^2*1i - d^2*3i))/(f*(c^2 + d^2)^2))*((4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4 + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/(f^2*(c^2 + d^2)^4))*((4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4 + (8*a^3*d^2*(c^2*1i - d^2*1i))/(f^3*(c^2 + d^2)^4))*(((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - log(((((16*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2) + (32*a*c*d^2*(c^2*1i - d^2*3i))/(f*(c^2 + d^2)^2))*(-(4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4 + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/(f^2*(c^2 + d^2)^4))*(-(4*(-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(f^4*(c^2 + d^2)^5))^(1/2))/4 + (8*a^3*d^2*(c^2*1i - d^2*1i))/(f^3*(c^2 + d^2)^4))*(-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - ((2*a*d)/(3*(c^2 + d^2)) + (4*a*c*d*(c + d*tan(e + f*x)))/(c^2 + d^2)^2)/(f*(c + d*tan(e + f*x))^(3/2))","B"
1134,1,69981,267,93.425199,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^(5/2)),x)","\ln\left(-\left(\left(\frac{a\,f\,\left(16\,a^2\,c^{10}\,d^3\,f^2+a^2\,c^9\,d^4\,f^2\,320{}\mathrm{i}+592\,a^2\,c^8\,d^5\,f^2+a^2\,c^7\,d^6\,f^2\,640{}\mathrm{i}+1568\,a^2\,c^6\,d^7\,f^2+1312\,a^2\,c^4\,d^9\,f^2-a^2\,c^3\,d^{10}\,f^2\,640{}\mathrm{i}+208\,a^2\,c^2\,d^{11}\,f^2-a^2\,c\,d^{12}\,f^2\,320{}\mathrm{i}-112\,a^2\,d^{13}\,f^2\right)}{2}-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\sqrt{\frac{4480\,c^2\,d^9-560\,d^{11}-c\,d^{10}\,2800{}\mathrm{i}+c^3\,d^8\,4480{}\mathrm{i}-560\,c^4\,d^7-c^5\,d^6\,112{}\mathrm{i}-224\,c^6\,d^5+c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}\,\left(32\,a^2\,c^{11}\,d^2\,f^2+a^2\,c^{10}\,d^3\,f^2\,64{}\mathrm{i}+96\,a^2\,c^9\,d^4\,f^2+a^2\,c^8\,d^5\,f^2\,256{}\mathrm{i}+64\,a^2\,c^7\,d^6\,f^2+a^2\,c^6\,d^7\,f^2\,384{}\mathrm{i}-64\,a^2\,c^5\,d^8\,f^2+a^2\,c^4\,d^9\,f^2\,256{}\mathrm{i}-96\,a^2\,c^3\,d^{10}\,f^2+a^2\,c^2\,d^{11}\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^{12}\,f^2\right)\right)\,\sqrt{\frac{4480\,c^2\,d^9-560\,d^{11}-c\,d^{10}\,2800{}\mathrm{i}+c^3\,d^8\,4480{}\mathrm{i}-560\,c^4\,d^7-c^5\,d^6\,112{}\mathrm{i}-224\,c^6\,d^5+c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^6\,d^2+c^5\,d^3\,14{}\mathrm{i}-9\,c^4\,d^4+c^3\,d^5\,56{}\mathrm{i}+184\,c^2\,d^6-c\,d^7\,126{}\mathrm{i}-37\,d^8\right)\right)\,\sqrt{\frac{4480\,c^2\,d^9-560\,d^{11}-c\,d^{10}\,2800{}\mathrm{i}+c^3\,d^8\,4480{}\mathrm{i}-560\,c^4\,d^7-c^5\,d^6\,112{}\mathrm{i}-224\,c^6\,d^5+c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}+\frac{a\,f\,\left(-c^5\,d^3+c^4\,d^4\,10{}\mathrm{i}-62\,c^3\,d^5+c^2\,d^6\,180{}\mathrm{i}+139\,c\,d^7-d^8\,30{}\mathrm{i}\right)}{2}\right)\,\sqrt{\frac{4480\,c^2\,d^9-560\,d^{11}-c\,d^{10}\,2800{}\mathrm{i}+c^3\,d^8\,4480{}\mathrm{i}-560\,c^4\,d^7-c^5\,d^6\,112{}\mathrm{i}-224\,c^6\,d^5+c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}+\ln\left(-\left(\left(\frac{a\,f\,\left(16\,a^2\,c^{10}\,d^3\,f^2+a^2\,c^9\,d^4\,f^2\,320{}\mathrm{i}+592\,a^2\,c^8\,d^5\,f^2+a^2\,c^7\,d^6\,f^2\,640{}\mathrm{i}+1568\,a^2\,c^6\,d^7\,f^2+1312\,a^2\,c^4\,d^9\,f^2-a^2\,c^3\,d^{10}\,f^2\,640{}\mathrm{i}+208\,a^2\,c^2\,d^{11}\,f^2-a^2\,c\,d^{12}\,f^2\,320{}\mathrm{i}-112\,a^2\,d^{13}\,f^2\right)}{2}-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\sqrt{-\frac{c\,d^{10}\,2800{}\mathrm{i}+560\,d^{11}-4480\,c^2\,d^9-c^3\,d^8\,4480{}\mathrm{i}+560\,c^4\,d^7+c^5\,d^6\,112{}\mathrm{i}+224\,c^6\,d^5-c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}\,\left(32\,a^2\,c^{11}\,d^2\,f^2+a^2\,c^{10}\,d^3\,f^2\,64{}\mathrm{i}+96\,a^2\,c^9\,d^4\,f^2+a^2\,c^8\,d^5\,f^2\,256{}\mathrm{i}+64\,a^2\,c^7\,d^6\,f^2+a^2\,c^6\,d^7\,f^2\,384{}\mathrm{i}-64\,a^2\,c^5\,d^8\,f^2+a^2\,c^4\,d^9\,f^2\,256{}\mathrm{i}-96\,a^2\,c^3\,d^{10}\,f^2+a^2\,c^2\,d^{11}\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^{12}\,f^2\right)\right)\,\sqrt{-\frac{c\,d^{10}\,2800{}\mathrm{i}+560\,d^{11}-4480\,c^2\,d^9-c^3\,d^8\,4480{}\mathrm{i}+560\,c^4\,d^7+c^5\,d^6\,112{}\mathrm{i}+224\,c^6\,d^5-c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}-2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^6\,d^2+c^5\,d^3\,14{}\mathrm{i}-9\,c^4\,d^4+c^3\,d^5\,56{}\mathrm{i}+184\,c^2\,d^6-c\,d^7\,126{}\mathrm{i}-37\,d^8\right)\right)\,\sqrt{-\frac{c\,d^{10}\,2800{}\mathrm{i}+560\,d^{11}-4480\,c^2\,d^9-c^3\,d^8\,4480{}\mathrm{i}+560\,c^4\,d^7+c^5\,d^6\,112{}\mathrm{i}+224\,c^6\,d^5-c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}+\frac{a\,f\,\left(-c^5\,d^3+c^4\,d^4\,10{}\mathrm{i}-62\,c^3\,d^5+c^2\,d^6\,180{}\mathrm{i}+139\,c\,d^7-d^8\,30{}\mathrm{i}\right)}{2}\right)\,\sqrt{-\frac{c\,d^{10}\,2800{}\mathrm{i}+560\,d^{11}-4480\,c^2\,d^9-c^3\,d^8\,4480{}\mathrm{i}+560\,c^4\,d^7+c^5\,d^6\,112{}\mathrm{i}+224\,c^6\,d^5-c^7\,d^4\,32{}\mathrm{i}-a^2\,c^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+a^2\,d^{10}\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,1{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+2\,a^2\,c^9\,d\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^2\,d^8\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}+a^2\,c^4\,d^6\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^6\,d^4\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,2{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}-a^2\,c^8\,d^2\,f^2\,\sqrt{-4\,\left(256\,c^2\,d^4+256\,d^6\right)\,\left(\frac{c^4\,d^4-13\,c^2\,d^6+36\,d^8}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}+\frac{\left(10\,c^3\,d^5+60\,c\,d^7\right)\,1{}\mathrm{i}}{a^4\,c^{12}\,f^4+6\,a^4\,c^{10}\,d^2\,f^4+15\,a^4\,c^8\,d^4\,f^4+20\,a^4\,c^6\,d^6\,f^4+15\,a^4\,c^4\,d^8\,f^4+6\,a^4\,c^2\,d^{10}\,f^4+a^4\,d^{12}\,f^4}\right)+{\left(\frac{32\,c^9\,d^4+304\,c^7\,d^6+5712\,c^5\,d^8-16240\,c^3\,d^{10}+3920\,c\,d^{12}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}+\frac{\left(160\,c^8\,d^5+560\,c^6\,d^7-14000\,c^4\,d^9+10640\,c^2\,d^{11}-560\,d^{13}\right)\,1{}\mathrm{i}}{a^2\,c^{12}\,f^2+6\,a^2\,c^{10}\,d^2\,f^2+15\,a^2\,c^8\,d^4\,f^2+20\,a^2\,c^6\,d^6\,f^2+15\,a^2\,c^4\,d^8\,f^2+6\,a^2\,c^2\,d^{10}\,f^2+a^2\,d^{12}\,f^2}\right)}^2}\,3{}\mathrm{i}}{512\,\left(c^2\,d^4+d^6\right)\,\left(-a^2\,c^{10}\,f^2\,1{}\mathrm{i}+2\,a^2\,c^9\,d\,f^2-a^2\,c^8\,d^2\,f^2\,3{}\mathrm{i}+8\,a^2\,c^7\,d^3\,f^2-a^2\,c^6\,d^4\,f^2\,2{}\mathrm{i}+12\,a^2\,c^5\,d^5\,f^2+a^2\,c^4\,d^6\,f^2\,2{}\mathrm{i}+8\,a^2\,c^3\,d^7\,f^2+a^2\,c^2\,d^8\,f^2\,3{}\mathrm{i}+2\,a^2\,c\,d^9\,f^2+a^2\,d^{10}\,f^2\,1{}\mathrm{i}\right)}}-\frac{\frac{d^2\,2{}\mathrm{i}}{3\,a\,f\,\left(c^2+d^2\right)}+\frac{d\,\left(32\,c\,d-d^2\,8{}\mathrm{i}\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,1{}\mathrm{i}}{6\,a\,f\,\left(c^4+2\,c^2\,d^2+d^4\right)}-\frac{d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2\,\left(c^2\,1{}\mathrm{i}+14\,c\,d-d^2\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a\,f\,\left(c^5+c^4\,d\,1{}\mathrm{i}+2\,c^3\,d^2+c^2\,d^3\,2{}\mathrm{i}+c\,d^4+d^5\,1{}\mathrm{i}\right)}}{\left(c+d\,1{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}-\ln\left(-\left(\sqrt{\frac{16240\,c^3\,d^{10}+d^{13}\,560{}\mathrm{i}-c^2\,d^{11}\,10640{}\mathrm{i}-3920\,c\,d^{12}+c^4\,d^9\,14000{}\mathrm{i}-5712\,c^5\,d^8-c^6\,d^7\,560{}\mathrm{i}-304\,c^7\,d^6-c^8\,d^5\,160{}\mathrm{i}-32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}\,\left(\frac{a\,f\,\left(16\,a^2\,c^{10}\,d^3\,f^2+a^2\,c^9\,d^4\,f^2\,320{}\mathrm{i}+592\,a^2\,c^8\,d^5\,f^2+a^2\,c^7\,d^6\,f^2\,640{}\mathrm{i}+1568\,a^2\,c^6\,d^7\,f^2+1312\,a^2\,c^4\,d^9\,f^2-a^2\,c^3\,d^{10}\,f^2\,640{}\mathrm{i}+208\,a^2\,c^2\,d^{11}\,f^2-a^2\,c\,d^{12}\,f^2\,320{}\mathrm{i}-112\,a^2\,d^{13}\,f^2\right)}{2}+2\,\sqrt{\frac{16240\,c^3\,d^{10}+d^{13}\,560{}\mathrm{i}-c^2\,d^{11}\,10640{}\mathrm{i}-3920\,c\,d^{12}+c^4\,d^9\,14000{}\mathrm{i}-5712\,c^5\,d^8-c^6\,d^7\,560{}\mathrm{i}-304\,c^7\,d^6-c^8\,d^5\,160{}\mathrm{i}-32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(32\,a^2\,c^{11}\,d^2\,f^2+a^2\,c^{10}\,d^3\,f^2\,64{}\mathrm{i}+96\,a^2\,c^9\,d^4\,f^2+a^2\,c^8\,d^5\,f^2\,256{}\mathrm{i}+64\,a^2\,c^7\,d^6\,f^2+a^2\,c^6\,d^7\,f^2\,384{}\mathrm{i}-64\,a^2\,c^5\,d^8\,f^2+a^2\,c^4\,d^9\,f^2\,256{}\mathrm{i}-96\,a^2\,c^3\,d^{10}\,f^2+a^2\,c^2\,d^{11}\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^{12}\,f^2\right)\right)+2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^6\,d^2+c^5\,d^3\,14{}\mathrm{i}-9\,c^4\,d^4+c^3\,d^5\,56{}\mathrm{i}+184\,c^2\,d^6-c\,d^7\,126{}\mathrm{i}-37\,d^8\right)\right)\,\sqrt{\frac{16240\,c^3\,d^{10}+d^{13}\,560{}\mathrm{i}-c^2\,d^{11}\,10640{}\mathrm{i}-3920\,c\,d^{12}+c^4\,d^9\,14000{}\mathrm{i}-5712\,c^5\,d^8-c^6\,d^7\,560{}\mathrm{i}-304\,c^7\,d^6-c^8\,d^5\,160{}\mathrm{i}-32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}+\frac{a\,f\,\left(-c^5\,d^3+c^4\,d^4\,10{}\mathrm{i}-62\,c^3\,d^5+c^2\,d^6\,180{}\mathrm{i}+139\,c\,d^7-d^8\,30{}\mathrm{i}\right)}{2}\right)\,\sqrt{\frac{16240\,c^3\,d^{10}+d^{13}\,560{}\mathrm{i}-c^2\,d^{11}\,10640{}\mathrm{i}-3920\,c\,d^{12}+c^4\,d^9\,14000{}\mathrm{i}-5712\,c^5\,d^8-c^6\,d^7\,560{}\mathrm{i}-304\,c^7\,d^6-c^8\,d^5\,160{}\mathrm{i}-32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}-\ln\left(-\left(\sqrt{-\frac{3920\,c\,d^{12}-d^{13}\,560{}\mathrm{i}+c^2\,d^{11}\,10640{}\mathrm{i}-16240\,c^3\,d^{10}-c^4\,d^9\,14000{}\mathrm{i}+5712\,c^5\,d^8+c^6\,d^7\,560{}\mathrm{i}+304\,c^7\,d^6+c^8\,d^5\,160{}\mathrm{i}+32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}\,\left(\frac{a\,f\,\left(16\,a^2\,c^{10}\,d^3\,f^2+a^2\,c^9\,d^4\,f^2\,320{}\mathrm{i}+592\,a^2\,c^8\,d^5\,f^2+a^2\,c^7\,d^6\,f^2\,640{}\mathrm{i}+1568\,a^2\,c^6\,d^7\,f^2+1312\,a^2\,c^4\,d^9\,f^2-a^2\,c^3\,d^{10}\,f^2\,640{}\mathrm{i}+208\,a^2\,c^2\,d^{11}\,f^2-a^2\,c\,d^{12}\,f^2\,320{}\mathrm{i}-112\,a^2\,d^{13}\,f^2\right)}{2}+2\,\sqrt{-\frac{3920\,c\,d^{12}-d^{13}\,560{}\mathrm{i}+c^2\,d^{11}\,10640{}\mathrm{i}-16240\,c^3\,d^{10}-c^4\,d^9\,14000{}\mathrm{i}+5712\,c^5\,d^8+c^6\,d^7\,560{}\mathrm{i}+304\,c^7\,d^6+c^8\,d^5\,160{}\mathrm{i}+32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(32\,a^2\,c^{11}\,d^2\,f^2+a^2\,c^{10}\,d^3\,f^2\,64{}\mathrm{i}+96\,a^2\,c^9\,d^4\,f^2+a^2\,c^8\,d^5\,f^2\,256{}\mathrm{i}+64\,a^2\,c^7\,d^6\,f^2+a^2\,c^6\,d^7\,f^2\,384{}\mathrm{i}-64\,a^2\,c^5\,d^8\,f^2+a^2\,c^4\,d^9\,f^2\,256{}\mathrm{i}-96\,a^2\,c^3\,d^{10}\,f^2+a^2\,c^2\,d^{11}\,f^2\,64{}\mathrm{i}-32\,a^2\,c\,d^{12}\,f^2\right)\right)+2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^2\,c^2\,f^2+a^2\,c\,d\,f^2\,2{}\mathrm{i}+a^2\,d^2\,f^2\right)\,\left(2\,c^6\,d^2+c^5\,d^3\,14{}\mathrm{i}-9\,c^4\,d^4+c^3\,d^5\,56{}\mathrm{i}+184\,c^2\,d^6-c\,d^7\,126{}\mathrm{i}-37\,d^8\right)\right)\,\sqrt{-\frac{3920\,c\,d^{12}-d^{13}\,560{}\mathrm{i}+c^2\,d^{11}\,10640{}\mathrm{i}-16240\,c^3\,d^{10}-c^4\,d^9\,14000{}\mathrm{i}+5712\,c^5\,d^8+c^6\,d^7\,560{}\mathrm{i}+304\,c^7\,d^6+c^8\,d^5\,160{}\mathrm{i}+32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}+\frac{a\,f\,\left(-c^5\,d^3+c^4\,d^4\,10{}\mathrm{i}-62\,c^3\,d^5+c^2\,d^6\,180{}\mathrm{i}+139\,c\,d^7-d^8\,30{}\mathrm{i}\right)}{2}\right)\,\sqrt{-\frac{3920\,c\,d^{12}-d^{13}\,560{}\mathrm{i}+c^2\,d^{11}\,10640{}\mathrm{i}-16240\,c^3\,d^{10}-c^4\,d^9\,14000{}\mathrm{i}+5712\,c^5\,d^8+c^6\,d^7\,560{}\mathrm{i}+304\,c^7\,d^6+c^8\,d^5\,160{}\mathrm{i}+32\,c^9\,d^4+a^2\,c^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+a^2\,d^{12}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^2\,d^{10}\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^4\,d^8\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+20\,a^2\,c^6\,d^6\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+15\,a^2\,c^8\,d^4\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}+6\,a^2\,c^{10}\,d^2\,f^2\,\sqrt{\frac{313600\,c^{14}\,d^{12}+c^{13}\,d^{13}\,627200{}\mathrm{i}+6585600\,c^{12}\,d^{14}-c^{11}\,d^{15}\,8279040{}\mathrm{i}+34935040\,c^{10}\,d^{16}-c^9\,d^{17}\,172945920{}\mathrm{i}-391725824\,c^8\,d^{18}+c^7\,d^{19}\,577955840{}\mathrm{i}+606049024\,c^6\,d^{20}-c^5\,d^{21}\,463106560{}\mathrm{i}-256893184\,c^4\,d^{22}+c^3\,d^{23}\,101166080{}\mathrm{i}+27038464\,c^2\,d^{24}-c\,d^{25}\,4451840{}\mathrm{i}-350464\,d^{26}}{a^4\,c^{24}\,f^4+12\,a^4\,c^{22}\,d^2\,f^4+66\,a^4\,c^{20}\,d^4\,f^4+220\,a^4\,c^{18}\,d^6\,f^4+495\,a^4\,c^{16}\,d^8\,f^4+792\,a^4\,c^{14}\,d^{10}\,f^4+924\,a^4\,c^{12}\,d^{12}\,f^4+792\,a^4\,c^{10}\,d^{14}\,f^4+495\,a^4\,c^8\,d^{16}\,f^4+220\,a^4\,c^6\,d^{18}\,f^4+66\,a^4\,c^4\,d^{20}\,f^4+12\,a^4\,c^2\,d^{22}\,f^4+a^4\,d^{24}\,f^4}}}{512\,a^2\,c^{14}\,d^4\,f^2+3584\,a^2\,c^{12}\,d^6\,f^2+10752\,a^2\,c^{10}\,d^8\,f^2+17920\,a^2\,c^8\,d^{10}\,f^2+17920\,a^2\,c^6\,d^{12}\,f^2+10752\,a^2\,c^4\,d^{14}\,f^2+3584\,a^2\,c^2\,d^{16}\,f^2+512\,a^2\,d^{18}\,f^2}}","Not used",1,"log((a*f*(139*c*d^7 - d^8*30i + c^2*d^6*180i - 62*c^3*d^5 + c^4*d^4*10i - c^5*d^3))/2 - (((a*f*(208*a^2*c^2*d^11*f^2 - a^2*c*d^12*f^2*320i - 112*a^2*d^13*f^2 - a^2*c^3*d^10*f^2*640i + 1312*a^2*c^4*d^9*f^2 + 1568*a^2*c^6*d^7*f^2 + a^2*c^7*d^6*f^2*640i + 592*a^2*c^8*d^5*f^2 + a^2*c^9*d^4*f^2*320i + 16*a^2*c^10*d^3*f^2))/2 - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*((4480*c^2*d^9 - 560*d^11 - c*d^10*2800i + c^3*d^8*4480i - 560*c^4*d^7 - c^5*d^6*112i - 224*c^6*d^5 + c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2)*(a^2*c^2*d^11*f^2*64i - 32*a^2*c*d^12*f^2 - 96*a^2*c^3*d^10*f^2 + a^2*c^4*d^9*f^2*256i - 64*a^2*c^5*d^8*f^2 + a^2*c^6*d^7*f^2*384i + 64*a^2*c^7*d^6*f^2 + a^2*c^8*d^5*f^2*256i + 96*a^2*c^9*d^4*f^2 + a^2*c^10*d^3*f^2*64i + 32*a^2*c^11*d^2*f^2))*((4480*c^2*d^9 - 560*d^11 - c*d^10*2800i + c^3*d^8*4480i - 560*c^4*d^7 - c^5*d^6*112i - 224*c^6*d^5 + c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2) - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(184*c^2*d^6 - 37*d^8 - c*d^7*126i + c^3*d^5*56i - 9*c^4*d^4 + c^5*d^3*14i + 2*c^6*d^2))*((4480*c^2*d^9 - 560*d^11 - c*d^10*2800i + c^3*d^8*4480i - 560*c^4*d^7 - c^5*d^6*112i - 224*c^6*d^5 + c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2))*((4480*c^2*d^9 - 560*d^11 - c*d^10*2800i + c^3*d^8*4480i - 560*c^4*d^7 - c^5*d^6*112i - 224*c^6*d^5 + c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2) + log((a*f*(139*c*d^7 - d^8*30i + c^2*d^6*180i - 62*c^3*d^5 + c^4*d^4*10i - c^5*d^3))/2 - (((a*f*(208*a^2*c^2*d^11*f^2 - a^2*c*d^12*f^2*320i - 112*a^2*d^13*f^2 - a^2*c^3*d^10*f^2*640i + 1312*a^2*c^4*d^9*f^2 + 1568*a^2*c^6*d^7*f^2 + a^2*c^7*d^6*f^2*640i + 592*a^2*c^8*d^5*f^2 + a^2*c^9*d^4*f^2*320i + 16*a^2*c^10*d^3*f^2))/2 - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(-(c*d^10*2800i + 560*d^11 - 4480*c^2*d^9 - c^3*d^8*4480i + 560*c^4*d^7 + c^5*d^6*112i + 224*c^6*d^5 - c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2)*(a^2*c^2*d^11*f^2*64i - 32*a^2*c*d^12*f^2 - 96*a^2*c^3*d^10*f^2 + a^2*c^4*d^9*f^2*256i - 64*a^2*c^5*d^8*f^2 + a^2*c^6*d^7*f^2*384i + 64*a^2*c^7*d^6*f^2 + a^2*c^8*d^5*f^2*256i + 96*a^2*c^9*d^4*f^2 + a^2*c^10*d^3*f^2*64i + 32*a^2*c^11*d^2*f^2))*(-(c*d^10*2800i + 560*d^11 - 4480*c^2*d^9 - c^3*d^8*4480i + 560*c^4*d^7 + c^5*d^6*112i + 224*c^6*d^5 - c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2) - 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(184*c^2*d^6 - 37*d^8 - c*d^7*126i + c^3*d^5*56i - 9*c^4*d^4 + c^5*d^3*14i + 2*c^6*d^2))*(-(c*d^10*2800i + 560*d^11 - 4480*c^2*d^9 - c^3*d^8*4480i + 560*c^4*d^7 + c^5*d^6*112i + 224*c^6*d^5 - c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2))*(-(c*d^10*2800i + 560*d^11 - 4480*c^2*d^9 - c^3*d^8*4480i + 560*c^4*d^7 + c^5*d^6*112i + 224*c^6*d^5 - c^7*d^4*32i - a^2*c^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + a^2*d^10*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*1i + 2*a^2*c*d^9*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + 2*a^2*c^9*d*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^2*d^8*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i + 8*a^2*c^3*d^7*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) + a^2*c^4*d^6*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 12*a^2*c^5*d^5*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^6*d^4*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*2i + 8*a^2*c^7*d^3*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2) - a^2*c^8*d^2*f^2*(((3920*c*d^12 - 16240*c^3*d^10 + 5712*c^5*d^8 + 304*c^7*d^6 + 32*c^9*d^4)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2) + ((10640*c^2*d^11 - 560*d^13 - 14000*c^4*d^9 + 560*c^6*d^7 + 160*c^8*d^5)*1i)/(a^2*c^12*f^2 + a^2*d^12*f^2 + 6*a^2*c^2*d^10*f^2 + 15*a^2*c^4*d^8*f^2 + 20*a^2*c^6*d^6*f^2 + 15*a^2*c^8*d^4*f^2 + 6*a^2*c^10*d^2*f^2))^2 - 4*(256*d^6 + 256*c^2*d^4)*(((60*c*d^7 + 10*c^3*d^5)*1i)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4) + (36*d^8 - 13*c^2*d^6 + c^4*d^4)/(a^4*c^12*f^4 + a^4*d^12*f^4 + 6*a^4*c^2*d^10*f^4 + 15*a^4*c^4*d^8*f^4 + 20*a^4*c^6*d^6*f^4 + 15*a^4*c^8*d^4*f^4 + 6*a^4*c^10*d^2*f^4)))^(1/2)*3i)/(512*(d^6 + c^2*d^4)*(a^2*d^10*f^2*1i - a^2*c^10*f^2*1i + 2*a^2*c*d^9*f^2 + 2*a^2*c^9*d*f^2 + a^2*c^2*d^8*f^2*3i + 8*a^2*c^3*d^7*f^2 + a^2*c^4*d^6*f^2*2i + 12*a^2*c^5*d^5*f^2 - a^2*c^6*d^4*f^2*2i + 8*a^2*c^7*d^3*f^2 - a^2*c^8*d^2*f^2*3i)))^(1/2) - ((d^2*2i)/(3*a*f*(c^2 + d^2)) + (d*(32*c*d - d^2*8i)*(c + d*tan(e + f*x))*1i)/(6*a*f*(c^4 + d^4 + 2*c^2*d^2)) - (d*(c + d*tan(e + f*x))^2*(14*c*d + c^2*1i - d^2*5i)*1i)/(2*a*f*(c*d^4 + c^4*d*1i + c^5 + d^5*1i + c^2*d^3*2i + 2*c^3*d^2)))/((c + d*1i)*(c + d*tan(e + f*x))^(3/2) - (c + d*tan(e + f*x))^(5/2)) - log((a*f*(139*c*d^7 - d^8*30i + c^2*d^6*180i - 62*c^3*d^5 + c^4*d^4*10i - c^5*d^3))/2 - (((d^13*560i - 3920*c*d^12 - c^2*d^11*10640i + 16240*c^3*d^10 + c^4*d^9*14000i - 5712*c^5*d^8 - c^6*d^7*560i - 304*c^7*d^6 - c^8*d^5*160i - 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2)*((a*f*(208*a^2*c^2*d^11*f^2 - a^2*c*d^12*f^2*320i - 112*a^2*d^13*f^2 - a^2*c^3*d^10*f^2*640i + 1312*a^2*c^4*d^9*f^2 + 1568*a^2*c^6*d^7*f^2 + a^2*c^7*d^6*f^2*640i + 592*a^2*c^8*d^5*f^2 + a^2*c^9*d^4*f^2*320i + 16*a^2*c^10*d^3*f^2))/2 + 2*((d^13*560i - 3920*c*d^12 - c^2*d^11*10640i + 16240*c^3*d^10 + c^4*d^9*14000i - 5712*c^5*d^8 - c^6*d^7*560i - 304*c^7*d^6 - c^8*d^5*160i - 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(a^2*c^2*d^11*f^2*64i - 32*a^2*c*d^12*f^2 - 96*a^2*c^3*d^10*f^2 + a^2*c^4*d^9*f^2*256i - 64*a^2*c^5*d^8*f^2 + a^2*c^6*d^7*f^2*384i + 64*a^2*c^7*d^6*f^2 + a^2*c^8*d^5*f^2*256i + 96*a^2*c^9*d^4*f^2 + a^2*c^10*d^3*f^2*64i + 32*a^2*c^11*d^2*f^2)) + 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(184*c^2*d^6 - 37*d^8 - c*d^7*126i + c^3*d^5*56i - 9*c^4*d^4 + c^5*d^3*14i + 2*c^6*d^2))*((d^13*560i - 3920*c*d^12 - c^2*d^11*10640i + 16240*c^3*d^10 + c^4*d^9*14000i - 5712*c^5*d^8 - c^6*d^7*560i - 304*c^7*d^6 - c^8*d^5*160i - 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2))*((d^13*560i - 3920*c*d^12 - c^2*d^11*10640i + 16240*c^3*d^10 + c^4*d^9*14000i - 5712*c^5*d^8 - c^6*d^7*560i - 304*c^7*d^6 - c^8*d^5*160i - 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2) - log((a*f*(139*c*d^7 - d^8*30i + c^2*d^6*180i - 62*c^3*d^5 + c^4*d^4*10i - c^5*d^3))/2 - ((-(3920*c*d^12 - d^13*560i + c^2*d^11*10640i - 16240*c^3*d^10 - c^4*d^9*14000i + 5712*c^5*d^8 + c^6*d^7*560i + 304*c^7*d^6 + c^8*d^5*160i + 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2)*((a*f*(208*a^2*c^2*d^11*f^2 - a^2*c*d^12*f^2*320i - 112*a^2*d^13*f^2 - a^2*c^3*d^10*f^2*640i + 1312*a^2*c^4*d^9*f^2 + 1568*a^2*c^6*d^7*f^2 + a^2*c^7*d^6*f^2*640i + 592*a^2*c^8*d^5*f^2 + a^2*c^9*d^4*f^2*320i + 16*a^2*c^10*d^3*f^2))/2 + 2*(-(3920*c*d^12 - d^13*560i + c^2*d^11*10640i - 16240*c^3*d^10 - c^4*d^9*14000i + 5712*c^5*d^8 + c^6*d^7*560i + 304*c^7*d^6 + c^8*d^5*160i + 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(a^2*c^2*d^11*f^2*64i - 32*a^2*c*d^12*f^2 - 96*a^2*c^3*d^10*f^2 + a^2*c^4*d^9*f^2*256i - 64*a^2*c^5*d^8*f^2 + a^2*c^6*d^7*f^2*384i + 64*a^2*c^7*d^6*f^2 + a^2*c^8*d^5*f^2*256i + 96*a^2*c^9*d^4*f^2 + a^2*c^10*d^3*f^2*64i + 32*a^2*c^11*d^2*f^2)) + 2*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2*f^2 - a^2*c^2*f^2 + a^2*c*d*f^2*2i)*(184*c^2*d^6 - 37*d^8 - c*d^7*126i + c^3*d^5*56i - 9*c^4*d^4 + c^5*d^3*14i + 2*c^6*d^2))*(-(3920*c*d^12 - d^13*560i + c^2*d^11*10640i - 16240*c^3*d^10 - c^4*d^9*14000i + 5712*c^5*d^8 + c^6*d^7*560i + 304*c^7*d^6 + c^8*d^5*160i + 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2))*(-(3920*c*d^12 - d^13*560i + c^2*d^11*10640i - 16240*c^3*d^10 - c^4*d^9*14000i + 5712*c^5*d^8 + c^6*d^7*560i + 304*c^7*d^6 + c^8*d^5*160i + 32*c^9*d^4 + a^2*c^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + a^2*d^12*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^2*d^10*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^4*d^8*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 20*a^2*c^6*d^6*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 15*a^2*c^8*d^4*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2) + 6*a^2*c^10*d^2*f^2*((27038464*c^2*d^24 - 350464*d^26 - c*d^25*4451840i + c^3*d^23*101166080i - 256893184*c^4*d^22 - c^5*d^21*463106560i + 606049024*c^6*d^20 + c^7*d^19*577955840i - 391725824*c^8*d^18 - c^9*d^17*172945920i + 34935040*c^10*d^16 - c^11*d^15*8279040i + 6585600*c^12*d^14 + c^13*d^13*627200i + 313600*c^14*d^12)/(a^4*c^24*f^4 + a^4*d^24*f^4 + 12*a^4*c^2*d^22*f^4 + 66*a^4*c^4*d^20*f^4 + 220*a^4*c^6*d^18*f^4 + 495*a^4*c^8*d^16*f^4 + 792*a^4*c^10*d^14*f^4 + 924*a^4*c^12*d^12*f^4 + 792*a^4*c^14*d^10*f^4 + 495*a^4*c^16*d^8*f^4 + 220*a^4*c^18*d^6*f^4 + 66*a^4*c^20*d^4*f^4 + 12*a^4*c^22*d^2*f^4))^(1/2))/(512*a^2*d^18*f^2 + 3584*a^2*c^2*d^16*f^2 + 10752*a^2*c^4*d^14*f^2 + 17920*a^2*c^6*d^12*f^2 + 17920*a^2*c^8*d^10*f^2 + 10752*a^2*c^10*d^8*f^2 + 3584*a^2*c^12*d^6*f^2 + 512*a^2*c^14*d^4*f^2))^(1/2)","B"
1135,-1,-1,351,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1136,-1,-1,446,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1137,0,-1,263,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(1/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(1/2), x)","F"
1138,0,-1,250,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(1/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(1/2), x)","F"
1139,1,2101,151,20.353114,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2),x)","\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{4\,\left(-6\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^{7/2}\,\sqrt{d+c\,1{}\mathrm{i}}-29\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,c^{7/2}\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+29\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,c^3\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+\sqrt{\frac{1}{2}{}\mathrm{i}}\,d^3\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}+\sqrt{\frac{1}{2}{}\mathrm{i}}\,c^{5/2}\,d\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}-35\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^{5/2}\,\sqrt{d+c\,1{}\mathrm{i}}\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{c}\,d^3\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,5{}\mathrm{i}-25\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,c^{3/2}\,d^2\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+41\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^3\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,d^3\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}+\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^{5/2}\,d\,\sqrt{d+c\,1{}\mathrm{i}}\,25{}\mathrm{i}-\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,\sqrt{c}\,d^3\,\sqrt{d+c\,1{}\mathrm{i}}\,5{}\mathrm{i}+28\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^{3/2}\,d^2\,\sqrt{d+c\,1{}\mathrm{i}}-35\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^{5/2}\,d\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{d+c\,1{}\mathrm{i}}+3\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,\sqrt{c}\,d^3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{d+c\,1{}\mathrm{i}}+\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^{3/2}\,d^2\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{d+c\,1{}\mathrm{i}}\,26{}\mathrm{i}-27\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,c\,d^2\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{\frac{1}{2}{}\mathrm{i}}\,c^2\,d\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,71{}\mathrm{i}+\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^{3/2}\,d\,\sqrt{d+c\,1{}\mathrm{i}}\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,26{}\mathrm{i}+21\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c\,d^2\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,c^2\,d\,\sqrt{d+c\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,19{}\mathrm{i}+3\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,\sqrt{a}\,\sqrt{c}\,d^2\,\sqrt{d+c\,1{}\mathrm{i}}\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\right)}{82\,c^4\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-2\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+17\,\sqrt{a}\,c^4+2\,\sqrt{a}\,d^4+80\,c^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-116\,\sqrt{a}\,c^{7/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-113\,\sqrt{a}\,c^2\,d^2-82\,c^{7/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+99\,\sqrt{a}\,c^3\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)-100\,\sqrt{a}\,c^{3/2}\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-33\,\sqrt{a}\,c\,d^2\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+166\,c^{3/2}\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-33\,\sqrt{a}\,c\,d^3\,\mathrm{tan}\left(e+f\,x\right)+99\,\sqrt{a}\,c^3\,d\,\mathrm{tan}\left(e+f\,x\right)+\sqrt{a}\,c\,d^3\,45{}\mathrm{i}-\sqrt{a}\,c^3\,d\,79{}\mathrm{i}+\sqrt{a}\,d^4\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}-c\,d^3\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,44{}\mathrm{i}-c^3\,d\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,44{}\mathrm{i}+\sqrt{a}\,d^3\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,1{}\mathrm{i}+\sqrt{a}\,\sqrt{c}\,d^3\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,20{}\mathrm{i}-\sqrt{a}\,c^2\,d^2\,\mathrm{tan}\left(e+f\,x\right)\,123{}\mathrm{i}+c^{5/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,242{}\mathrm{i}-\sqrt{a}\,c^2\,d\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,123{}\mathrm{i}-\sqrt{c}\,d^3\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,22{}\mathrm{i}+\sqrt{a}\,c^{5/2}\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,4{}\mathrm{i}}\right)\,\sqrt{d+c\,1{}\mathrm{i}}\,\left(-1+1{}\mathrm{i}\right)}{f}+\frac{\sqrt{2}\,\sqrt{a}\,\sqrt{d}\,\ln\left(\frac{2\,\sqrt{d}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-2\,\sqrt{a}\,\sqrt{d}+\sqrt{2}\,\sqrt{a}\,\sqrt{c}\,\left(-1-\mathrm{i}\right)+\sqrt{2}\,\sqrt{a}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(1+1{}\mathrm{i}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}\right)\,\left(1+1{}\mathrm{i}\right)}{f}+\frac{\sqrt{2}\,\sqrt{a}\,\sqrt{d}\,\ln\left(\frac{d^{17/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\,d^{17/2}+c^8\,\sqrt{d}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+324\,c^6\,d^{5/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+1670\,c^4\,d^{9/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+324\,c^2\,d^{13/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^{17/2}-\sqrt{a}\,c^8\,\sqrt{d}-324\,\sqrt{a}\,c^6\,d^{5/2}-1670\,\sqrt{a}\,c^4\,d^{9/2}-324\,\sqrt{a}\,c^2\,d^{13/2}+{\left(-1\right)}^{1/4}\,\sqrt{a}\,\sqrt{c}\,d^8-956\,{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^{5/2}\,d^6+134\,{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^{9/2}\,d^4+1600\,{\left(-1\right)}^{3/4}\,\sqrt{a}\,c^{7/2}\,d^5+68\,{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^{13/2}\,d^2+640\,{\left(-1\right)}^{3/4}\,\sqrt{a}\,c^{11/2}\,d^3+1280\,{\left(-1\right)}^{1/4}\,c^{5/2}\,d^6\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+1536\,{\left(-1\right)}^{1/4}\,c^{9/2}\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+256\,{\left(-1\right)}^{1/4}\,c^{13/2}\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-{\left(-1\right)}^{1/4}\,\sqrt{a}\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+64\,{\left(-1\right)}^{3/4}\,\sqrt{a}\,c^{15/2}\,d-64\,{\left(-1\right)}^{3/4}\,\sqrt{a}\,c^7\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-324\,{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^2\,d^6\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-1670\,{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^4\,d^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-324\,{\left(-1\right)}^{1/4}\,\sqrt{a}\,c^6\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-1600\,{\left(-1\right)}^{3/4}\,\sqrt{a}\,c^3\,d^5\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-640\,{\left(-1\right)}^{3/4}\,\sqrt{a}\,c^5\,d^3\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+c^7\,d^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,64{}\mathrm{i}+c^5\,d^{7/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,640{}\mathrm{i}+c^3\,d^{11/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1600{}\mathrm{i}+\sqrt{a}\,c^7\,d^{3/2}\,192{}\mathrm{i}+\sqrt{a}\,c^5\,d^{7/2}\,896{}\mathrm{i}-\sqrt{a}\,c^3\,d^{11/2}\,320{}\mathrm{i}-\sqrt{a}\,c^{5/2}\,d^{11/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1280{}\mathrm{i}-\sqrt{a}\,c^{9/2}\,d^{7/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1536{}\mathrm{i}-\sqrt{a}\,c^{13/2}\,d^{3/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,256{}\mathrm{i}}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}\right)\,\left(-1-\mathrm{i}\right)}{f}","Not used",1,"(2^(1/2)*a^(1/2)*d^(1/2)*log((2*d^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2) - 2*a^(1/2)*d^(1/2) - 2^(1/2)*a^(1/2)*c^(1/2)*(1 + 1i) + 2^(1/2)*a^(1/2)*(c + d*tan(e + f*x))^(1/2)*(1 + 1i))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)))*(1 + 1i))/f - (a^(1/2)*atan((4*(29*(1i/2)^(1/2)*c^3*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2) - 29*(1i/2)^(1/2)*c^(7/2)*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2) - 6*(1i/2)^(1/2)*a^(1/2)*c^(7/2)*(c*1i + d)^(1/2) + (1i/2)^(1/2)*d^3*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*1i + (1i/2)^(1/2)*c^(5/2)*d*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2)*1i - 35*(1i/2)^(1/2)*a^(1/2)*c^(5/2)*(c*1i + d)^(1/2)*(c + d*tan(e + f*x)) + (1i/2)^(1/2)*c^(1/2)*d^3*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2)*5i - 25*(1i/2)^(1/2)*c^(3/2)*d^2*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2) + 41*(1i/2)^(1/2)*a^(1/2)*c^3*(c*1i + d)^(1/2)*(c + d*tan(e + f*x))^(1/2) - (1i/2)^(1/2)*a^(1/2)*d^3*(c*1i + d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*1i + (1i/2)^(1/2)*a^(1/2)*c^(5/2)*d*(c*1i + d)^(1/2)*25i - (1i/2)^(1/2)*a^(1/2)*c^(1/2)*d^3*(c*1i + d)^(1/2)*5i + 28*(1i/2)^(1/2)*a^(1/2)*c^(3/2)*d^2*(c*1i + d)^(1/2) - 35*(1i/2)^(1/2)*a^(1/2)*c^(5/2)*d*tan(e + f*x)*(c*1i + d)^(1/2) + 3*(1i/2)^(1/2)*a^(1/2)*c^(1/2)*d^3*tan(e + f*x)*(c*1i + d)^(1/2) + (1i/2)^(1/2)*a^(1/2)*c^(3/2)*d^2*tan(e + f*x)*(c*1i + d)^(1/2)*26i - 27*(1i/2)^(1/2)*c*d^2*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2) - (1i/2)^(1/2)*c^2*d*(c*1i + d)^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*71i + (1i/2)^(1/2)*a^(1/2)*c^(3/2)*d*(c*1i + d)^(1/2)*(c + d*tan(e + f*x))*26i + 21*(1i/2)^(1/2)*a^(1/2)*c*d^2*(c*1i + d)^(1/2)*(c + d*tan(e + f*x))^(1/2) + (1i/2)^(1/2)*a^(1/2)*c^2*d*(c*1i + d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*19i + 3*(1i/2)^(1/2)*a^(1/2)*c^(1/2)*d^2*(c*1i + d)^(1/2)*(c + d*tan(e + f*x))))/(82*c^4*(a + a*tan(e + f*x)*1i)^(1/2) - 2*d^4*(a + a*tan(e + f*x)*1i)^(1/2) + 17*a^(1/2)*c^4 + 2*a^(1/2)*d^4 + 80*c^2*d^2*(a + a*tan(e + f*x)*1i)^(1/2) - 116*a^(1/2)*c^(7/2)*(c + d*tan(e + f*x))^(1/2) + a^(1/2)*c*d^3*45i - a^(1/2)*c^3*d*79i + a^(1/2)*d^4*tan(e + f*x)*1i - 113*a^(1/2)*c^2*d^2 - 82*c^(7/2)*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2) - c*d^3*(a + a*tan(e + f*x)*1i)^(1/2)*44i - c^3*d*(a + a*tan(e + f*x)*1i)^(1/2)*44i + 99*a^(1/2)*c^3*(c + d*tan(e + f*x)) + a^(1/2)*d^3*(c + d*tan(e + f*x))*1i + a^(1/2)*c^(1/2)*d^3*(c + d*tan(e + f*x))^(1/2)*20i - 100*a^(1/2)*c^(3/2)*d^2*(c + d*tan(e + f*x))^(1/2) - a^(1/2)*c^2*d^2*tan(e + f*x)*123i + c^(5/2)*d*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*242i - 33*a^(1/2)*c*d^2*(c + d*tan(e + f*x)) - a^(1/2)*c^2*d*(c + d*tan(e + f*x))*123i - c^(1/2)*d^3*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*22i + 166*c^(3/2)*d^2*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2) + a^(1/2)*c^(5/2)*d*(c + d*tan(e + f*x))^(1/2)*4i - 33*a^(1/2)*c*d^3*tan(e + f*x) + 99*a^(1/2)*c^3*d*tan(e + f*x)))*(c*1i + d)^(1/2)*(1 - 1i))/f - (2^(1/2)*a^(1/2)*d^(1/2)*log((d^(17/2)*(a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)*d^(17/2) + c^8*d^(1/2)*(a + a*tan(e + f*x)*1i)^(1/2) + c^7*d^(3/2)*(a + a*tan(e + f*x)*1i)^(1/2)*64i + 324*c^6*d^(5/2)*(a + a*tan(e + f*x)*1i)^(1/2) + c^5*d^(7/2)*(a + a*tan(e + f*x)*1i)^(1/2)*640i + 1670*c^4*d^(9/2)*(a + a*tan(e + f*x)*1i)^(1/2) + c^3*d^(11/2)*(a + a*tan(e + f*x)*1i)^(1/2)*1600i + 324*c^2*d^(13/2)*(a + a*tan(e + f*x)*1i)^(1/2) + (-1)^(1/4)*a^(1/2)*c^(17/2) - a^(1/2)*c^8*d^(1/2) + a^(1/2)*c^7*d^(3/2)*192i - 324*a^(1/2)*c^6*d^(5/2) + a^(1/2)*c^5*d^(7/2)*896i - 1670*a^(1/2)*c^4*d^(9/2) - a^(1/2)*c^3*d^(11/2)*320i - 324*a^(1/2)*c^2*d^(13/2) - a^(1/2)*c^(5/2)*d^(11/2)*(c + d*tan(e + f*x))^(1/2)*1280i - a^(1/2)*c^(9/2)*d^(7/2)*(c + d*tan(e + f*x))^(1/2)*1536i - a^(1/2)*c^(13/2)*d^(3/2)*(c + d*tan(e + f*x))^(1/2)*256i + (-1)^(1/4)*a^(1/2)*c^(1/2)*d^8 - 956*(-1)^(1/4)*a^(1/2)*c^(5/2)*d^6 + 134*(-1)^(1/4)*a^(1/2)*c^(9/2)*d^4 + 1600*(-1)^(3/4)*a^(1/2)*c^(7/2)*d^5 + 68*(-1)^(1/4)*a^(1/2)*c^(13/2)*d^2 + 640*(-1)^(3/4)*a^(1/2)*c^(11/2)*d^3 + 1280*(-1)^(1/4)*c^(5/2)*d^6*(a + a*tan(e + f*x)*1i)^(1/2) + 1536*(-1)^(1/4)*c^(9/2)*d^4*(a + a*tan(e + f*x)*1i)^(1/2) + 256*(-1)^(1/4)*c^(13/2)*d^2*(a + a*tan(e + f*x)*1i)^(1/2) - (-1)^(1/4)*a^(1/2)*c^8*(c + d*tan(e + f*x))^(1/2) - (-1)^(1/4)*a^(1/2)*d^8*(c + d*tan(e + f*x))^(1/2) + 64*(-1)^(3/4)*a^(1/2)*c^(15/2)*d - 64*(-1)^(3/4)*a^(1/2)*c^7*d*(c + d*tan(e + f*x))^(1/2) - 324*(-1)^(1/4)*a^(1/2)*c^2*d^6*(c + d*tan(e + f*x))^(1/2) - 1670*(-1)^(1/4)*a^(1/2)*c^4*d^4*(c + d*tan(e + f*x))^(1/2) - 324*(-1)^(1/4)*a^(1/2)*c^6*d^2*(c + d*tan(e + f*x))^(1/2) - 1600*(-1)^(3/4)*a^(1/2)*c^3*d^5*(c + d*tan(e + f*x))^(1/2) - 640*(-1)^(3/4)*a^(1/2)*c^5*d^3*(c + d*tan(e + f*x))^(1/2))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)))*(1 + 1i))/f","B"
1140,1,1724,121,19.832708,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^(1/2),x)","-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(4\,a^{3/2}\,c^{3/2}\,f-a^{3/2}\,\sqrt{c}\,d\,f\,4{}\mathrm{i}\right)+\frac{16\,d^7\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(-a\,f\,c^2+2{}\mathrm{i}\,a\,f\,c\,d+a\,f\,d^2\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}-\frac{4\,d^8\,\left(4\,\sqrt{a}\,\sqrt{c}\,d\,f+\sqrt{a}\,c^{3/2}\,f\,4{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(-4\,a^2\,d\,f^2+a^2\,c\,f^2\,4{}\mathrm{i}\right)-\frac{16\,d^7\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f^2+a^{3/2}\,c^{3/2}\,f^2\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{4\,d^8\,\left(20\,a\,c\,f^2-a\,d\,f^2\,12{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)}{4\,\sqrt{a}\,f}\right)\,1{}\mathrm{i}}{4\,\sqrt{a}\,f}+\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(4\,a^{3/2}\,c^{3/2}\,f-a^{3/2}\,\sqrt{c}\,d\,f\,4{}\mathrm{i}\right)+\frac{16\,d^7\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(-a\,f\,c^2+2{}\mathrm{i}\,a\,f\,c\,d+a\,f\,d^2\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}-\frac{4\,d^8\,\left(4\,\sqrt{a}\,\sqrt{c}\,d\,f+\sqrt{a}\,c^{3/2}\,f\,4{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}+\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(-4\,a^2\,d\,f^2+a^2\,c\,f^2\,4{}\mathrm{i}\right)-\frac{16\,d^7\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f^2+a^{3/2}\,c^{3/2}\,f^2\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{4\,d^8\,\left(20\,a\,c\,f^2-a\,d\,f^2\,12{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)}{4\,\sqrt{a}\,f}\right)\,1{}\mathrm{i}}{4\,\sqrt{a}\,f}}{8\,d^7\,\left(1{}\mathrm{i}\,a\,c^2+2\,a\,c\,d-1{}\mathrm{i}\,a\,d^2\right)+\frac{8\,d^8\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}+\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(4\,a^{3/2}\,c^{3/2}\,f-a^{3/2}\,\sqrt{c}\,d\,f\,4{}\mathrm{i}\right)+\frac{16\,d^7\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(-a\,f\,c^2+2{}\mathrm{i}\,a\,f\,c\,d+a\,f\,d^2\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}-\frac{4\,d^8\,\left(4\,\sqrt{a}\,\sqrt{c}\,d\,f+\sqrt{a}\,c^{3/2}\,f\,4{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(-4\,a^2\,d\,f^2+a^2\,c\,f^2\,4{}\mathrm{i}\right)-\frac{16\,d^7\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f^2+a^{3/2}\,c^{3/2}\,f^2\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{4\,d^8\,\left(20\,a\,c\,f^2-a\,d\,f^2\,12{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)}{4\,\sqrt{a}\,f}\right)}{4\,\sqrt{a}\,f}-\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(4\,a^{3/2}\,c^{3/2}\,f-a^{3/2}\,\sqrt{c}\,d\,f\,4{}\mathrm{i}\right)+\frac{16\,d^7\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(-a\,f\,c^2+2{}\mathrm{i}\,a\,f\,c\,d+a\,f\,d^2\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}-\frac{4\,d^8\,\left(4\,\sqrt{a}\,\sqrt{c}\,d\,f+\sqrt{a}\,c^{3/2}\,f\,4{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}+\frac{\sqrt{2}\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(4\,d^7\,\left(-4\,a^2\,d\,f^2+a^2\,c\,f^2\,4{}\mathrm{i}\right)-\frac{16\,d^7\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f^2+a^{3/2}\,c^{3/2}\,f^2\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{4\,d^8\,\left(20\,a\,c\,f^2-a\,d\,f^2\,12{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)}{4\,\sqrt{a}\,f}\right)}{4\,\sqrt{a}\,f}}\right)\,\sqrt{-c+d\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{a}\,f}+\frac{2\,\left(c+d\,1{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{d\,f\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)\,\left(\frac{a\,1{}\mathrm{i}}{d}+\frac{{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{\sqrt{a}\,\sqrt{c}\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,2{}\mathrm{i}}{d\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}\right)}","Not used",1,"(2*(c + d*1i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/(d*f*((c + d*tan(e + f*x))^(1/2) - c^(1/2))*((a*1i)/d + ((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (a^(1/2)*c^(1/2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))*2i)/(d*((c + d*tan(e + f*x))^(1/2) - c^(1/2))))) - (2^(1/2)*atan(((2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(4*a^(3/2)*c^(3/2)*f - a^(3/2)*c^(1/2)*d*f*4i) + (16*d^7*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))*(a*d^2*f - a*c^2*f + a*c*d*f*2i))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) - (4*d^8*(a^(1/2)*c^(3/2)*f*4i + 4*a^(1/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(a^2*c*f^2*4i - 4*a^2*d*f^2) - (16*d^7*(a^(3/2)*c^(3/2)*f^2*2i + 6*a^(3/2)*c^(1/2)*d*f^2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) + (4*d^8*(20*a*c*f^2 - a*d*f^2*12i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2))/(4*a^(1/2)*f))*1i)/(4*a^(1/2)*f) + (2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(4*a^(3/2)*c^(3/2)*f - a^(3/2)*c^(1/2)*d*f*4i) + (16*d^7*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))*(a*d^2*f - a*c^2*f + a*c*d*f*2i))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) - (4*d^8*(a^(1/2)*c^(3/2)*f*4i + 4*a^(1/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 + (2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(a^2*c*f^2*4i - 4*a^2*d*f^2) - (16*d^7*(a^(3/2)*c^(3/2)*f^2*2i + 6*a^(3/2)*c^(1/2)*d*f^2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) + (4*d^8*(20*a*c*f^2 - a*d*f^2*12i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2))/(4*a^(1/2)*f))*1i)/(4*a^(1/2)*f))/(8*d^7*(a*c^2*1i - a*d^2*1i + 2*a*c*d) + (8*d^8*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2*(c*d*2i - c^2 + d^2))/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 + (2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(4*a^(3/2)*c^(3/2)*f - a^(3/2)*c^(1/2)*d*f*4i) + (16*d^7*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))*(a*d^2*f - a*c^2*f + a*c*d*f*2i))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) - (4*d^8*(a^(1/2)*c^(3/2)*f*4i + 4*a^(1/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(a^2*c*f^2*4i - 4*a^2*d*f^2) - (16*d^7*(a^(3/2)*c^(3/2)*f^2*2i + 6*a^(3/2)*c^(1/2)*d*f^2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) + (4*d^8*(20*a*c*f^2 - a*d*f^2*12i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2))/(4*a^(1/2)*f)))/(4*a^(1/2)*f) - (2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(4*a^(3/2)*c^(3/2)*f - a^(3/2)*c^(1/2)*d*f*4i) + (16*d^7*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))*(a*d^2*f - a*c^2*f + a*c*d*f*2i))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) - (4*d^8*(a^(1/2)*c^(3/2)*f*4i + 4*a^(1/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 + (2^(1/2)*(d*1i - c)^(1/2)*(4*d^7*(a^2*c*f^2*4i - 4*a^2*d*f^2) - (16*d^7*(a^(3/2)*c^(3/2)*f^2*2i + 6*a^(3/2)*c^(1/2)*d*f^2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) + (4*d^8*(20*a*c*f^2 - a*d*f^2*12i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2))/(4*a^(1/2)*f)))/(4*a^(1/2)*f)))*(d*1i - c)^(1/2)*1i)/(2*a^(1/2)*f)","B"
1141,0,-1,177,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
1142,0,-1,254,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^(5/2),x)","\int \frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(1/2)/(a + a*tan(e + f*x)*1i)^(5/2), x)","F"
1143,0,-1,329,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(3/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(3/2), x)","F"
1144,0,-1,315,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(3/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(3/2), x)","F"
1145,0,-1,196,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(3/2),x)","\int \sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(3/2), x)","F"
1146,0,-1,195,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
1147,0,-1,173,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
1148,0,-1,225,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^(5/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(3/2)/(a + a*tan(e + f*x)*1i)^(5/2), x)","F"
1149,0,-1,415,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(5/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(5/2), x)","F"
1150,0,-1,378,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(5/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(5/2), x)","F"
1151,0,-1,257,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(5/2),x)","\int \sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(5/2), x)","F"
1152,0,-1,250,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^(1/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
1153,0,-1,257,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
1154,0,-1,225,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^(5/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(5/2)/(a + a*tan(e + f*x)*1i)^(5/2), x)","F"
1155,0,-1,200,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)/(c + d*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)/(c + d*tan(e + f*x))^(1/2), x)","F"
1156,0,-1,151,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)/(c + d*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)/(c + d*tan(e + f*x))^(1/2), x)","F"
1157,1,473,82,10.045578,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)/(c + d*tan(e + f*x))^(1/2),x)","\frac{\sqrt{2}\,\sqrt{a}\,\mathrm{atan}\left(\frac{2\,\sqrt{-c+d\,1{}\mathrm{i}}\,\left(\sqrt{2}\,c^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}-\sqrt{2}\,\sqrt{c}\,d\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{2}\,\sqrt{a}\,c\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}+\sqrt{2}\,\sqrt{a}\,\sqrt{c}\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,1{}\mathrm{i}+\sqrt{2}\,\sqrt{a}\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+\sqrt{2}\,\sqrt{a}\,\sqrt{c}\,d-\sqrt{2}\,c\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,1{}\mathrm{i}-\sqrt{2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+\sqrt{2}\,\sqrt{a}\,\sqrt{c}\,d\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{\sqrt{a}\,d^2\,\mathrm{tan}\left(e+f\,x\right)+\sqrt{a}\,d\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+\sqrt{a}\,c\,d-6\,\sqrt{c}\,d\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+4\,\sqrt{a}\,\sqrt{c}\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+c^2\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}+d^2\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}+\sqrt{a}\,c^2\,1{}\mathrm{i}-\sqrt{a}\,d^2\,2{}\mathrm{i}-\sqrt{a}\,c^{3/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,4{}\mathrm{i}+\sqrt{a}\,c\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,3{}\mathrm{i}-c^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,2{}\mathrm{i}+\sqrt{a}\,c\,d\,\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}}\right)\,1{}\mathrm{i}}{f\,\sqrt{-c+d\,1{}\mathrm{i}}}","Not used",1,"(2^(1/2)*a^(1/2)*atan((2*(d*1i - c)^(1/2)*(2^(1/2)*c^(3/2)*(a + a*tan(e + f*x)*1i)^(1/2)*1i - 2^(1/2)*c^(1/2)*d*(a + a*tan(e + f*x)*1i)^(1/2) - 2^(1/2)*a^(1/2)*c*(c + d*tan(e + f*x))^(1/2)*1i + 2^(1/2)*a^(1/2)*c^(1/2)*(c + d*tan(e + f*x))*1i + 2^(1/2)*a^(1/2)*d*(c + d*tan(e + f*x))^(1/2) + 2^(1/2)*a^(1/2)*c^(1/2)*d - 2^(1/2)*c*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*1i - 2^(1/2)*d*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2) + 2^(1/2)*a^(1/2)*c^(1/2)*d*tan(e + f*x)*1i))/(c^2*(a + a*tan(e + f*x)*1i)^(1/2)*2i + d^2*(a + a*tan(e + f*x)*1i)^(1/2)*2i + a^(1/2)*c^2*1i - a^(1/2)*d^2*2i - a^(1/2)*c^(3/2)*(c + d*tan(e + f*x))^(1/2)*4i + a^(1/2)*d^2*tan(e + f*x) + a^(1/2)*c*(c + d*tan(e + f*x))*3i + a^(1/2)*d*(c + d*tan(e + f*x)) - c^(3/2)*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*2i + a^(1/2)*c*d - 6*c^(1/2)*d*(a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2) + a^(1/2)*c*d*tan(e + f*x)*3i + 4*a^(1/2)*c^(1/2)*d*(c + d*tan(e + f*x))^(1/2)))*1i)/(f*(d*1i - c)^(1/2))","B"
1158,1,1508,174,19.622993,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)),x)","-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\frac{\sqrt{2}\,\left(-4\,a^{3/2}\,\sqrt{c}\,d^7\,f+\frac{4\,d^7\,f\,\left(a\,c-a\,d\,1{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{\sqrt{2}\,\left(d^7\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)+\frac{d^8\,\left(5\,a\,c\,f^2-a\,d\,f^2\,3{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{d^7\,f\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f+a^{3/2}\,c^{3/2}\,f\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}\right)}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}+\frac{\sqrt{a}\,\sqrt{c}\,d^8\,f\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)\,1{}\mathrm{i}}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}-\frac{\sqrt{2}\,\left(4\,a^{3/2}\,\sqrt{c}\,d^7\,f-\frac{4\,d^7\,f\,\left(a\,c-a\,d\,1{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{\sqrt{2}\,\left(d^7\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)+\frac{d^8\,\left(5\,a\,c\,f^2-a\,d\,f^2\,3{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{d^7\,f\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f+a^{3/2}\,c^{3/2}\,f\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}\right)}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}-\frac{\sqrt{a}\,\sqrt{c}\,d^8\,f\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)\,1{}\mathrm{i}}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}}{-a\,d^7\,8{}\mathrm{i}+\frac{8\,d^8\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}+\frac{\sqrt{2}\,\left(-4\,a^{3/2}\,\sqrt{c}\,d^7\,f+\frac{4\,d^7\,f\,\left(a\,c-a\,d\,1{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{\sqrt{2}\,\left(d^7\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)+\frac{d^8\,\left(5\,a\,c\,f^2-a\,d\,f^2\,3{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{d^7\,f\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f+a^{3/2}\,c^{3/2}\,f\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}\right)}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}+\frac{\sqrt{a}\,\sqrt{c}\,d^8\,f\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}+\frac{\sqrt{2}\,\left(4\,a^{3/2}\,\sqrt{c}\,d^7\,f-\frac{4\,d^7\,f\,\left(a\,c-a\,d\,1{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}+\frac{\sqrt{2}\,\left(d^7\,\left(-a^2\,d\,f^2+a^2\,c\,f^2\,1{}\mathrm{i}\right)+\frac{d^8\,\left(5\,a\,c\,f^2-a\,d\,f^2\,3{}\mathrm{i}\right)\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{d^7\,f\,\left(6\,a^{3/2}\,\sqrt{c}\,d\,f+a^{3/2}\,c^{3/2}\,f\,2{}\mathrm{i}\right)\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}}\right)}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}-\frac{\sqrt{a}\,\sqrt{c}\,d^8\,f\,{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}\right)}{\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}}\right)\,1{}\mathrm{i}}{2\,\sqrt{a}\,f\,\sqrt{-c+d\,1{}\mathrm{i}}}+\frac{2\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{d\,f\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)\,\left(\frac{a\,1{}\mathrm{i}}{d}+\frac{{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}^2}-\frac{\sqrt{a}\,\sqrt{c}\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,2{}\mathrm{i}}{d\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\sqrt{c}\right)}\right)}","Not used",1,"(2*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/(d*f*((c + d*tan(e + f*x))^(1/2) - c^(1/2))*((a*1i)/d + ((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (a^(1/2)*c^(1/2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))*2i)/(d*((c + d*tan(e + f*x))^(1/2) - c^(1/2))))) - (2^(1/2)*atan(((2^(1/2)*((4*d^7*f*(a*c - a*d*1i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) - 4*a^(3/2)*c^(1/2)*d^7*f + (2^(1/2)*(d^7*(a^2*c*f^2*1i - a^2*d*f^2) + (d^8*(5*a*c*f^2 - a*d*f^2*3i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (d^7*f*(a^(3/2)*c^(3/2)*f*2i + 6*a^(3/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2))))/(a^(1/2)*f*(d*1i - c)^(1/2)) + (a^(1/2)*c^(1/2)*d^8*f*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2*4i)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2)*1i)/(a^(1/2)*f*(d*1i - c)^(1/2)) - (2^(1/2)*(4*a^(3/2)*c^(1/2)*d^7*f - (4*d^7*f*(a*c - a*d*1i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) + (2^(1/2)*(d^7*(a^2*c*f^2*1i - a^2*d*f^2) + (d^8*(5*a*c*f^2 - a*d*f^2*3i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (d^7*f*(a^(3/2)*c^(3/2)*f*2i + 6*a^(3/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2))))/(a^(1/2)*f*(d*1i - c)^(1/2)) - (a^(1/2)*c^(1/2)*d^8*f*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2*4i)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2)*1i)/(a^(1/2)*f*(d*1i - c)^(1/2)))/((8*d^8*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - a*d^7*8i + (2^(1/2)*((4*d^7*f*(a*c - a*d*1i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) - 4*a^(3/2)*c^(1/2)*d^7*f + (2^(1/2)*(d^7*(a^2*c*f^2*1i - a^2*d*f^2) + (d^8*(5*a*c*f^2 - a*d*f^2*3i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (d^7*f*(a^(3/2)*c^(3/2)*f*2i + 6*a^(3/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2))))/(a^(1/2)*f*(d*1i - c)^(1/2)) + (a^(1/2)*c^(1/2)*d^8*f*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2*4i)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2))/(a^(1/2)*f*(d*1i - c)^(1/2)) + (2^(1/2)*(4*a^(3/2)*c^(1/2)*d^7*f - (4*d^7*f*(a*c - a*d*1i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2)) + (2^(1/2)*(d^7*(a^2*c*f^2*1i - a^2*d*f^2) + (d^8*(5*a*c*f^2 - a*d*f^2*3i)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2 - (d^7*f*(a^(3/2)*c^(3/2)*f*2i + 6*a^(3/2)*c^(1/2)*d*f)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/((c + d*tan(e + f*x))^(1/2) - c^(1/2))))/(a^(1/2)*f*(d*1i - c)^(1/2)) - (a^(1/2)*c^(1/2)*d^8*f*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2*4i)/((c + d*tan(e + f*x))^(1/2) - c^(1/2))^2))/(a^(1/2)*f*(d*1i - c)^(1/2))))*1i)/(2*a^(1/2)*f*(d*1i - c)^(1/2))","B"
1159,0,-1,193,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(1/2)),x)","\int \frac{1}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(1/2)), x)","F"
1160,0,-1,262,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(1/2)),x)","\int \frac{1}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(1/2)), x)","F"
1161,0,-1,209,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)/(c + d*tan(e + f*x))^(3/2), x)","F"
1162,0,-1,129,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)/(c + d*tan(e + f*x))^(3/2), x)","F"
1163,0,-1,129,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(1/2)/(c + d*tan(e + f*x))^(3/2), x)","F"
1164,0,-1,194,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(3/2)),x)","\int \frac{1}{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(3/2)), x)","F"
1165,0,-1,269,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(3/2)), x)","F"
1166,0,-1,349,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(3/2)), x)","F"
1167,0,-1,181,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(5/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(5/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1168,0,-1,179,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(3/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(3/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1169,0,-1,188,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^(1/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^(1/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1170,0,-1,277,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(5/2)),x)","\int \frac{1}{\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(1/2)*(c + d*tan(e + f*x))^(5/2)), x)","F"
1171,0,-1,354,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(5/2)),x)","\int \frac{1}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(3/2)*(c + d*tan(e + f*x))^(5/2)), x)","F"
1172,0,-1,444,0.000000,"\text{Not used}","int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(5/2)),x)","\int \frac{1}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/((a + a*tan(e + f*x)*1i)^(5/2)*(c + d*tan(e + f*x))^(5/2)), x)","F"
1173,0,-1,114,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^n,x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^n, x)","F"
1174,0,-1,157,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^n,x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^3*(c + d*tan(e + f*x))^n, x)","F"
1175,0,-1,95,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^n,x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^2*(c + d*tan(e + f*x))^n, x)","F"
1176,0,-1,61,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^n,x)","\int \left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)*(c + d*tan(e + f*x))^n, x)","F"
1177,0,-1,193,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i), x)","F"
1178,0,-1,273,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((c + d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^2, x)","F"
1179,0,-1,381,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^3,x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((c + d*tan(e + f*x))^n/(a + a*tan(e + f*x)*1i)^3, x)","F"
1180,0,-1,192,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^3,x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^3, x)","F"
1181,0,-1,119,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^2,x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^2, x)","F"
1182,0,-1,78,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x)),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x)), x)","F"
1183,0,-1,122,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x)),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x)), x)","F"
1184,0,-1,180,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^2,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^2, x)","F"
1185,0,-1,264,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^3,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^3, x)","F"
1186,0,-1,123,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^(3/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^(3/2), x)","F"
1187,0,-1,116,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^(1/2),x)","\int {\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m*(c + d*tan(e + f*x))^(1/2), x)","F"
1188,0,-1,116,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^(1/2), x)","F"
1189,0,-1,125,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^(3/2), x)","F"
1190,0,-1,125,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^m/(c + d*tan(e + f*x))^(5/2), x)","F"
1191,1,141,140,5.273285,"\text{Not used}","int((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x)),x)","x\,\left(c\,a^3-3\,d\,a^2\,b-3\,c\,a\,b^2+d\,b^3\right)-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(b^3\,d-3\,a\,b\,\left(a\,d+b\,c\right)\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{c\,b^3}{2}+\frac{3\,a\,d\,b^2}{2}\right)}{f}+\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(\frac{d\,a^3}{2}+\frac{3\,c\,a^2\,b}{2}-\frac{3\,d\,a\,b^2}{2}-\frac{c\,b^3}{2}\right)}{f}+\frac{b^3\,d\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}","Not used",1,"x*(a^3*c + b^3*d - 3*a*b^2*c - 3*a^2*b*d) - (tan(e + f*x)*(b^3*d - 3*a*b*(a*d + b*c)))/f + (tan(e + f*x)^2*((b^3*c)/2 + (3*a*b^2*d)/2))/f + (log(tan(e + f*x)^2 + 1)*((a^3*d)/2 - (b^3*c)/2 + (3*a^2*b*c)/2 - (3*a*b^2*d)/2))/f + (b^3*d*tan(e + f*x)^3)/(3*f)","B"
1192,1,91,87,5.217223,"\text{Not used}","int((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x)),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(c\,b^2+2\,a\,d\,b\right)}{f}-x\,\left(-c\,a^2+2\,d\,a\,b+c\,b^2\right)+\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(\frac{d\,a^2}{2}+c\,a\,b-\frac{d\,b^2}{2}\right)}{f}+\frac{b^2\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,f}","Not used",1,"(tan(e + f*x)*(b^2*c + 2*a*b*d))/f - x*(b^2*c - a^2*c + 2*a*b*d) + (log(tan(e + f*x)^2 + 1)*((a^2*d)/2 - (b^2*d)/2 + a*b*c))/f + (b^2*d*tan(e + f*x)^2)/(2*f)","B"
1193,1,55,42,5.166612,"\text{Not used}","int((a + b*tan(e + f*x))*(c + d*tan(e + f*x)),x)","\frac{b\,d\,\mathrm{tan}\left(e+f\,x\right)+\frac{a\,d\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2}+\frac{b\,c\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2}+a\,c\,f\,x-b\,d\,f\,x}{f}","Not used",1,"(b*d*tan(e + f*x) + (a*d*log(tan(e + f*x)^2 + 1))/2 + (b*c*log(tan(e + f*x)^2 + 1))/2 + a*c*f*x - b*d*f*x)/f","B"
1194,1,94,58,5.677930,"\text{Not used}","int((c + d*tan(e + f*x))/(a + b*tan(e + f*x)),x)","-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-d+c\,1{}\mathrm{i}\right)}{2\,f\,\left(a+b\,1{}\mathrm{i}\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a\,d-b\,c\right)}{f\,\left(a^2+b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(c-d\,1{}\mathrm{i}\right)}{2\,f\,\left(b+a\,1{}\mathrm{i}\right)}","Not used",1,"- (log(tan(e + f*x) - 1i)*(c*1i - d))/(2*f*(a + b*1i)) - (log(a + b*tan(e + f*x))*(a*d - b*c))/(f*(a^2 + b^2)) - (log(tan(e + f*x) + 1i)*(c - d*1i))/(2*f*(a*1i + b))","B"
1195,1,152,111,5.484628,"\text{Not used}","int((c + d*tan(e + f*x))/(a + b*tan(e + f*x))^2,x)","\frac{a\,d-b\,c}{f\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(c+d\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(d+c\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(-d\,a^2+2\,c\,a\,b+d\,b^2\right)}{f\,{\left(a^2+b^2\right)}^2}","Not used",1,"(a*d - b*c)/(f*(a^2 + b^2)*(a + b*tan(e + f*x))) - (log(tan(e + f*x) - 1i)*(c + d*1i))/(2*f*(2*a*b - a^2*1i + b^2*1i)) - (log(tan(e + f*x) + 1i)*(c*1i + d))/(2*f*(a*b*2i - a^2 + b^2)) + (log(a + b*tan(e + f*x))*(b^2*d - a^2*d + 2*a*b*c))/(f*(a^2 + b^2)^2)","B"
1196,1,279,175,5.645976,"\text{Not used}","int((c + d*tan(e + f*x))/(a + b*tan(e + f*x))^3,x)","-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\frac{a\,d-3\,b\,c}{{\left(a^2+b^2\right)}^2}-\frac{4\,b^2\,\left(a\,d-b\,c\right)}{{\left(a^2+b^2\right)}^3}\right)}{f}-\frac{\frac{-3\,d\,a^3+5\,c\,a^2\,b+d\,a\,b^2+c\,b^3}{2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-d\,a^2\,b+2\,c\,a\,b^2+d\,b^3\right)}{a^4+2\,a^2\,b^2+b^4}}{f\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(e+f\,x\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-d+c\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(c-d\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}","Not used",1,"(log(tan(e + f*x) - 1i)*(c*1i - d))/(2*f*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - ((b^3*c - 3*a^3*d + 5*a^2*b*c + a*b^2*d)/(2*(a^4 + b^4 + 2*a^2*b^2)) + (tan(e + f*x)*(b^3*d + 2*a*b^2*c - a^2*b*d))/(a^4 + b^4 + 2*a^2*b^2))/(f*(a^2 + b^2*tan(e + f*x)^2 + 2*a*b*tan(e + f*x))) - (log(a + b*tan(e + f*x))*((a*d - 3*b*c)/(a^2 + b^2)^2 - (4*b^2*(a*d - b*c))/(a^2 + b^2)^3))/f + (log(tan(e + f*x) + 1i)*(c - d*1i))/(2*f*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3))","B"
1197,1,259,215,5.347079,"\text{Not used}","int((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x))^2,x)","x\,\left(a^3\,c^2-a^3\,d^2-6\,a^2\,b\,c\,d-3\,a\,b^2\,c^2+3\,a\,b^2\,d^2+2\,b^3\,c\,d\right)+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,d^2-b^2\,d\,\left(3\,a\,d+2\,b\,c\right)+3\,a\,b^2\,c^2+6\,a^2\,b\,c\,d\right)}{f}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(-a^3\,c\,d-\frac{3\,a^2\,b\,c^2}{2}+\frac{3\,a^2\,b\,d^2}{2}+3\,a\,b^2\,c\,d+\frac{b^3\,c^2}{2}-\frac{b^3\,d^2}{2}\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{3\,a^2\,b\,d^2}{2}+3\,a\,b^2\,c\,d+\frac{b^3\,c^2}{2}-\frac{b^3\,d^2}{2}\right)}{f}+\frac{b^3\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4\,f}+\frac{b^2\,d\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(3\,a\,d+2\,b\,c\right)}{3\,f}","Not used",1,"x*(a^3*c^2 - a^3*d^2 - 3*a*b^2*c^2 + 3*a*b^2*d^2 + 2*b^3*c*d - 6*a^2*b*c*d) + (tan(e + f*x)*(a^3*d^2 - b^2*d*(3*a*d + 2*b*c) + 3*a*b^2*c^2 + 6*a^2*b*c*d))/f - (log(tan(e + f*x)^2 + 1)*((b^3*c^2)/2 - (b^3*d^2)/2 - (3*a^2*b*c^2)/2 + (3*a^2*b*d^2)/2 - a^3*c*d + 3*a*b^2*c*d))/f + (tan(e + f*x)^2*((b^3*c^2)/2 - (b^3*d^2)/2 + (3*a^2*b*d^2)/2 + 3*a*b^2*c*d))/f + (b^3*d^2*tan(e + f*x)^4)/(4*f) + (b^2*d*tan(e + f*x)^3*(3*a*d + 2*b*c))/(3*f)","B"
1198,1,230,131,5.275961,"\text{Not used}","int((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2-b^2\,d^2\right)}{f}+\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(a^2\,c\,d+a\,b\,c^2-a\,b\,d^2-b^2\,c\,d\right)}{f}-\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,c+a\,d+b\,c-b\,d\right)\,\left(a\,d-a\,c+b\,c+b\,d\right)}{-a^2\,c^2+a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2-b^2\,d^2}\right)\,\left(a\,c+a\,d+b\,c-b\,d\right)\,\left(a\,d-a\,c+b\,c+b\,d\right)}{f}+\frac{b^2\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}+\frac{b\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a\,d+b\,c\right)}{f}","Not used",1,"(tan(e + f*x)*(a^2*d^2 + b^2*c^2 - b^2*d^2 + 4*a*b*c*d))/f + (log(tan(e + f*x)^2 + 1)*(a*b*c^2 - a*b*d^2 + a^2*c*d - b^2*c*d))/f - (atan((tan(e + f*x)*(a*c + a*d + b*c - b*d)*(a*d - a*c + b*c + b*d))/(a^2*d^2 - a^2*c^2 + b^2*c^2 - b^2*d^2 + 4*a*b*c*d))*(a*c + a*d + b*c - b*d)*(a*d - a*c + b*c + b*d))/f + (b^2*d^2*tan(e + f*x)^3)/(3*f) + (b*d*tan(e + f*x)^2*(a*d + b*c))/f","B"
1199,1,91,89,5.182067,"\text{Not used}","int((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,d^2+2\,b\,c\,d\right)}{f}-x\,\left(-a\,c^2+2\,b\,c\,d+a\,d^2\right)+\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(\frac{b\,c^2}{2}+a\,c\,d-\frac{b\,d^2}{2}\right)}{f}+\frac{b\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,f}","Not used",1,"(tan(e + f*x)*(a*d^2 + 2*b*c*d))/f - x*(a*d^2 - a*c^2 + 2*b*c*d) + (log(tan(e + f*x)^2 + 1)*((b*c^2)/2 - (b*d^2)/2 + a*c*d))/f + (b*d^2*tan(e + f*x)^2)/(2*f)","B"
1200,1,115,103,5.732592,"\text{Not used}","int((c + d*tan(e + f*x))^2/(a + b*tan(e + f*x)),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}{2\,f\,\left(a+b\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}{2\,f\,\left(b+a\,1{}\mathrm{i}\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\left(a\,d-b\,c\right)}^2}{b\,f\,\left(a^2+b^2\right)}","Not used",1,"(log(tan(e + f*x) - 1i)*(2*c*d - c^2*1i + d^2*1i))/(2*f*(a + b*1i)) + (log(tan(e + f*x) + 1i)*(c*d*2i - c^2 + d^2))/(2*f*(a*1i + b)) + (log(a + b*tan(e + f*x))*(a*d - b*c)^2)/(b*f*(a^2 + b^2))","B"
1201,1,208,126,7.123182,"\text{Not used}","int((c + d*tan(e + f*x))^2/(a + b*tan(e + f*x))^2,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(-2\,c\,d\,a^2+\left(2\,c^2-2\,d^2\right)\,a\,b+2\,c\,d\,b^2\right)}{f\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(c^2+c\,d\,2{}\mathrm{i}-d^2\right)}{2\,f\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(c^2\,1{}\mathrm{i}+2\,c\,d-d^2\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}-\frac{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}{b\,f\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}","Not used",1,"(log(a + b*tan(e + f*x))*(a*b*(2*c^2 - 2*d^2) - 2*a^2*c*d + 2*b^2*c*d))/(f*(a^4 + b^4 + 2*a^2*b^2)) - (log(tan(e + f*x) - 1i)*(c*d*2i + c^2 - d^2))/(2*f*(2*a*b - a^2*1i + b^2*1i)) - (log(tan(e + f*x) + 1i)*(2*c*d + c^2*1i - d^2*1i))/(2*f*(a*b*2i - a^2 + b^2)) - (a^2*d^2 + b^2*c^2 - 2*a*b*c*d)/(b*f*(a^2 + b^2)*(a + b*tan(e + f*x)))","B"
1202,1,367,214,7.301598,"\text{Not used}","int((c + d*tan(e + f*x))^2/(a + b*tan(e + f*x))^3,x)","-\frac{\frac{2\,\mathrm{tan}\left(e+f\,x\right)\,\left(-a^2\,b\,c\,d+a\,b^2\,c^2-a\,b^2\,d^2+b^3\,c\,d\right)}{a^4+2\,a^2\,b^2+b^4}+\frac{a^4\,d^2-6\,a^3\,b\,c\,d+5\,a^2\,b^2\,c^2-3\,a^2\,b^2\,d^2+2\,a\,b^3\,c\,d+b^4\,c^2}{2\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{f\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(e+f\,x\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}{2\,f\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(2\,c\,d\,a^3+\left(3\,d^2-3\,c^2\right)\,a^2\,b-6\,c\,d\,a\,b^2+\left(c^2-d^2\right)\,b^3\right)}{f\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}","Not used",1,"- ((2*tan(e + f*x)*(a*b^2*c^2 - a*b^2*d^2 + b^3*c*d - a^2*b*c*d))/(a^4 + b^4 + 2*a^2*b^2) + (a^4*d^2 + b^4*c^2 + 5*a^2*b^2*c^2 - 3*a^2*b^2*d^2 + 2*a*b^3*c*d - 6*a^3*b*c*d)/(2*b*(a^4 + b^4 + 2*a^2*b^2)))/(f*(a^2 + b^2*tan(e + f*x)^2 + 2*a*b*tan(e + f*x))) - (log(tan(e + f*x) - 1i)*(2*c*d - c^2*1i + d^2*1i))/(2*f*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - (log(tan(e + f*x) + 1i)*(c*d*2i - c^2 + d^2))/(2*f*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) - (log(a + b*tan(e + f*x))*(b^3*(c^2 - d^2) - a^2*b*(3*c^2 - 3*d^2) + 2*a^3*c*d - 6*a*b^2*c*d))/(f*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2))","B"
1203,1,494,302,5.382554,"\text{Not used}","int((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x))^3,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(b^3\,d^3+3\,a\,c\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)-3\,b\,d\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)\right)}{f}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(-\frac{3\,a^3\,c^2\,d}{2}+\frac{a^3\,d^3}{2}-\frac{3\,a^2\,b\,c^3}{2}+\frac{9\,a^2\,b\,c\,d^2}{2}+\frac{9\,a\,b^2\,c^2\,d}{2}-\frac{3\,a\,b^2\,d^3}{2}+\frac{b^3\,c^3}{2}-\frac{3\,b^3\,c\,d^2}{2}\right)}{f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{b^3\,d^3}{3}-b\,d\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^3\,d^3}{2}+\frac{b^3\,c^3}{2}-\frac{3\,b^2\,d^2\,\left(a\,d+b\,c\right)}{2}+\frac{9\,a\,b^2\,c^2\,d}{2}+\frac{9\,a^2\,b\,c\,d^2}{2}\right)}{f}+\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,c-b\,d\right)\,\left(-a^2\,c^2+3\,a^2\,d^2+8\,a\,b\,c\,d+3\,b^2\,c^2-b^2\,d^2\right)}{a^3\,c^3-3\,a^3\,c\,d^2-9\,a^2\,b\,c^2\,d+3\,a^2\,b\,d^3-3\,a\,b^2\,c^3+9\,a\,b^2\,c\,d^2+3\,b^3\,c^2\,d-b^3\,d^3}\right)\,\left(a\,c-b\,d\right)\,\left(-a^2\,c^2+3\,a^2\,d^2+8\,a\,b\,c\,d+3\,b^2\,c^2-b^2\,d^2\right)}{f}+\frac{b^3\,d^3\,{\mathrm{tan}\left(e+f\,x\right)}^5}{5\,f}+\frac{3\,b^2\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(a\,d+b\,c\right)}{4\,f}","Not used",1,"(tan(e + f*x)*(b^3*d^3 + 3*a*c*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d) - 3*b*d*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d)))/f - (log(tan(e + f*x)^2 + 1)*((a^3*d^3)/2 + (b^3*c^3)/2 - (3*a^2*b*c^3)/2 - (3*a*b^2*d^3)/2 - (3*a^3*c^2*d)/2 - (3*b^3*c*d^2)/2 + (9*a*b^2*c^2*d)/2 + (9*a^2*b*c*d^2)/2))/f - (tan(e + f*x)^3*((b^3*d^3)/3 - b*d*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d)))/f + (tan(e + f*x)^2*((a^3*d^3)/2 + (b^3*c^3)/2 - (3*b^2*d^2*(a*d + b*c))/2 + (9*a*b^2*c^2*d)/2 + (9*a^2*b*c*d^2)/2))/f + (atan((tan(e + f*x)*(a*c - b*d)*(3*a^2*d^2 - a^2*c^2 + 3*b^2*c^2 - b^2*d^2 + 8*a*b*c*d))/(a^3*c^3 - b^3*d^3 - 3*a*b^2*c^3 + 3*a^2*b*d^3 - 3*a^3*c*d^2 + 3*b^3*c^2*d + 9*a*b^2*c*d^2 - 9*a^2*b*c^2*d))*(a*c - b*d)*(3*a^2*d^2 - a^2*c^2 + 3*b^2*c^2 - b^2*d^2 + 8*a*b*c*d))/f + (b^3*d^3*tan(e + f*x)^5)/(5*f) + (3*b^2*d^2*tan(e + f*x)^4*(a*d + b*c))/(4*f)","B"
1204,1,259,219,5.269791,"\text{Not used}","int((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^3,x)","x\,\left(a^2\,c^3-3\,a^2\,c\,d^2-6\,a\,b\,c^2\,d+2\,a\,b\,d^3-b^2\,c^3+3\,b^2\,c\,d^2\right)+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(b^2\,c^3-b\,d^2\,\left(2\,a\,d+3\,b\,c\right)+3\,a^2\,c\,d^2+6\,a\,b\,c^2\,d\right)}{f}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(-\frac{3\,a^2\,c^2\,d}{2}+\frac{a^2\,d^3}{2}-a\,b\,c^3+3\,a\,b\,c\,d^2+\frac{3\,b^2\,c^2\,d}{2}-\frac{b^2\,d^3}{2}\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^2\,d^3}{2}+3\,a\,b\,c\,d^2+\frac{3\,b^2\,c^2\,d}{2}-\frac{b^2\,d^3}{2}\right)}{f}+\frac{b^2\,d^3\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4\,f}+\frac{b\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(2\,a\,d+3\,b\,c\right)}{3\,f}","Not used",1,"x*(a^2*c^3 - b^2*c^3 - 3*a^2*c*d^2 + 3*b^2*c*d^2 + 2*a*b*d^3 - 6*a*b*c^2*d) + (tan(e + f*x)*(b^2*c^3 - b*d^2*(2*a*d + 3*b*c) + 3*a^2*c*d^2 + 6*a*b*c^2*d))/f - (log(tan(e + f*x)^2 + 1)*((a^2*d^3)/2 - (b^2*d^3)/2 - (3*a^2*c^2*d)/2 + (3*b^2*c^2*d)/2 - a*b*c^3 + 3*a*b*c*d^2))/f + (tan(e + f*x)^2*((a^2*d^3)/2 - (b^2*d^3)/2 + (3*b^2*c^2*d)/2 + 3*a*b*c*d^2))/f + (b^2*d^3*tan(e + f*x)^4)/(4*f) + (b*d^2*tan(e + f*x)^3*(2*a*d + 3*b*c))/(3*f)","B"
1205,1,142,144,5.225625,"\text{Not used}","int((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^3,x)","x\,\left(a\,c^3-3\,b\,c^2\,d-3\,a\,c\,d^2+b\,d^3\right)-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(b\,d^3-3\,c\,d\,\left(a\,d+b\,c\right)\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a\,d^3}{2}+\frac{3\,b\,c\,d^2}{2}\right)}{f}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)\,\left(-\frac{b\,c^3}{2}-\frac{3\,a\,c^2\,d}{2}+\frac{3\,b\,c\,d^2}{2}+\frac{a\,d^3}{2}\right)}{f}+\frac{b\,d^3\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}","Not used",1,"x*(a*c^3 + b*d^3 - 3*a*c*d^2 - 3*b*c^2*d) - (tan(e + f*x)*(b*d^3 - 3*c*d*(a*d + b*c)))/f + (tan(e + f*x)^2*((a*d^3)/2 + (3*b*c*d^2)/2))/f - (log(tan(e + f*x)^2 + 1)*((a*d^3)/2 - (b*c^3)/2 - (3*a*c^2*d)/2 + (3*b*c*d^2)/2))/f + (b*d^3*tan(e + f*x)^3)/(3*f)","B"
1206,1,178,140,5.586924,"\text{Not used}","int((c + d*tan(e + f*x))^3/(a + b*tan(e + f*x)),x)","\frac{d^3\,\mathrm{tan}\left(e+f\,x\right)}{b\,f}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{f\,\left(a^2\,b^2+b^4\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-c^3\,1{}\mathrm{i}+3\,c^2\,d+c\,d^2\,3{}\mathrm{i}-d^3\right)}{2\,f\,\left(a+b\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-c^3+c^2\,d\,3{}\mathrm{i}+3\,c\,d^2-d^3\,1{}\mathrm{i}\right)}{2\,f\,\left(b+a\,1{}\mathrm{i}\right)}","Not used",1,"(d^3*tan(e + f*x))/(b*f) - (log(a + b*tan(e + f*x))*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(f*(b^4 + a^2*b^2)) + (log(tan(e + f*x) - 1i)*(c*d^2*3i + 3*c^2*d - c^3*1i - d^3))/(2*f*(a + b*1i)) + (log(tan(e + f*x) + 1i)*(3*c*d^2 + c^2*d*3i - c^3 - d^3*1i))/(2*f*(a*1i + b))","B"
1207,1,271,230,7.818947,"\text{Not used}","int((c + d*tan(e + f*x))^3/(a + b*tan(e + f*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}{2\,f\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(b^2\,\left(3\,a^2\,d^3-3\,a^2\,c^2\,d\right)+a^4\,d^3+b^3\,\left(2\,a\,c^3-6\,a\,c\,d^2\right)+3\,b^4\,c^2\,d\right)}{f\,\left(a^4\,b^2+2\,a^2\,b^4+b^6\right)}+\frac{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}{b^2\,f\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}","Not used",1,"(log(tan(e + f*x) - 1i)*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i))/(2*f*(2*a*b - a^2*1i + b^2*1i)) + (log(tan(e + f*x) + 1i)*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3))/(2*f*(a*b*2i - a^2 + b^2)) + (log(a + b*tan(e + f*x))*(b^2*(3*a^2*d^3 - 3*a^2*c^2*d) + a^4*d^3 + b^3*(2*a*c^3 - 6*a*c*d^2) + 3*b^4*c^2*d))/(f*(b^6 + 2*a^2*b^4 + a^4*b^2)) + (a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)/(b^2*f*(a^2 + b^2)*(a + b*tan(e + f*x)))","B"
1208,1,466,239,8.004542,"\text{Not used}","int((c + d*tan(e + f*x))^3/(a + b*tan(e + f*x))^3,x)","-\frac{\frac{a^5\,d^3+3\,a^4\,b\,c\,d^2-9\,a^3\,b^2\,c^2\,d+5\,a^3\,b^2\,d^3+5\,a^2\,b^3\,c^3-9\,a^2\,b^3\,c\,d^2+3\,a\,b^4\,c^2\,d+b^5\,c^3}{2\,b^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,d^3-3\,a^2\,b^2\,c^2\,d+3\,a^2\,b^2\,d^3+2\,a\,b^3\,c^3-6\,a\,b^3\,c\,d^2+3\,b^4\,c^2\,d\right)}{b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{f\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(e+f\,x\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-c^3\,1{}\mathrm{i}+3\,c^2\,d+c\,d^2\,3{}\mathrm{i}-d^3\right)}{2\,f\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\left(3\,c^2\,d-d^3\right)\,a^3+\left(9\,c\,d^2-3\,c^3\right)\,a^2\,b+\left(3\,d^3-9\,c^2\,d\right)\,a\,b^2+\left(c^3-3\,c\,d^2\right)\,b^3\right)}{f\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-c^3+c^2\,d\,3{}\mathrm{i}+3\,c\,d^2-d^3\,1{}\mathrm{i}\right)}{2\,f\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}","Not used",1,"- ((a^5*d^3 + b^5*c^3 + 5*a^2*b^3*c^3 + 5*a^3*b^2*d^3 - 9*a^2*b^3*c*d^2 - 9*a^3*b^2*c^2*d + 3*a*b^4*c^2*d + 3*a^4*b*c*d^2)/(2*b^2*(a^4 + b^4 + 2*a^2*b^2)) + (tan(e + f*x)*(a^4*d^3 + 2*a*b^3*c^3 + 3*b^4*c^2*d + 3*a^2*b^2*d^3 - 3*a^2*b^2*c^2*d - 6*a*b^3*c*d^2))/(b*(a^4 + b^4 + 2*a^2*b^2)))/(f*(a^2 + b^2*tan(e + f*x)^2 + 2*a*b*tan(e + f*x))) - (log(tan(e + f*x) - 1i)*(c*d^2*3i + 3*c^2*d - c^3*1i - d^3))/(2*f*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - (log(a + b*tan(e + f*x))*(a^3*(3*c^2*d - d^3) - b^3*(3*c*d^2 - c^3) + a^2*b*(9*c*d^2 - 3*c^3) - a*b^2*(9*c^2*d - 3*d^3)))/(f*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (log(tan(e + f*x) + 1i)*(3*c*d^2 + c^2*d*3i - c^3 - d^3*1i))/(2*f*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3))","B"
1209,1,235,190,5.775718,"\text{Not used}","int((a + b*tan(e + f*x))^4/(c + d*tan(e + f*x)),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{4\,a\,b^3}{d}-\frac{b^4\,c}{d^2}\right)}{f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}{2\,f\,\left(d+c\,1{}\mathrm{i}\right)}+\frac{b^4\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,d\,f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}{2\,f\,\left(c+d\,1{}\mathrm{i}\right)}+\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{f\,\left(c^2\,d^3+d^5\right)}","Not used",1,"(tan(e + f*x)*((4*a*b^3)/d - (b^4*c)/d^2))/f - (log(tan(e + f*x) + 1i)*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2))/(2*f*(c*1i + d)) + (b^4*tan(e + f*x)^2)/(2*d*f) - (log(tan(e + f*x) - 1i)*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i))/(2*f*(c + d*1i)) + (log(c + d*tan(e + f*x))*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(f*(d^5 + c^2*d^3))","B"
1210,1,177,144,5.485157,"\text{Not used}","int((a + b*tan(e + f*x))^3/(c + d*tan(e + f*x)),x)","\frac{b^3\,\mathrm{tan}\left(e+f\,x\right)}{d\,f}+\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{f\,\left(c^2\,d^2+d^4\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-a^3\,1{}\mathrm{i}+3\,a^2\,b+a\,b^2\,3{}\mathrm{i}-b^3\right)}{2\,f\,\left(c+d\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}\right)}{2\,f\,\left(d+c\,1{}\mathrm{i}\right)}","Not used",1,"(b^3*tan(e + f*x))/(d*f) + (log(c + d*tan(e + f*x))*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(f*(d^4 + c^2*d^2)) + (log(tan(e + f*x) - 1i)*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3))/(2*f*(c + d*1i)) + (log(tan(e + f*x) + 1i)*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i))/(2*f*(c*1i + d))","B"
1211,1,115,103,5.599912,"\text{Not used}","int((a + b*tan(e + f*x))^2/(c + d*tan(e + f*x)),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}{2\,f\,\left(c+d\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}{2\,f\,\left(d+c\,1{}\mathrm{i}\right)}+\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\left(a\,d-b\,c\right)}^2}{d\,f\,\left(c^2+d^2\right)}","Not used",1,"(log(tan(e + f*x) - 1i)*(2*a*b - a^2*1i + b^2*1i))/(2*f*(c + d*1i)) + (log(tan(e + f*x) + 1i)*(a*b*2i - a^2 + b^2))/(2*f*(c*1i + d)) + (log(c + d*tan(e + f*x))*(a*d - b*c)^2)/(d*f*(c^2 + d^2))","B"
1212,1,93,59,5.493589,"\text{Not used}","int((a + b*tan(e + f*x))/(c + d*tan(e + f*x)),x)","\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a\,d-b\,c\right)}{f\,\left(c^2+d^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-b+a\,1{}\mathrm{i}\right)}{2\,f\,\left(c+d\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a-b\,1{}\mathrm{i}\right)}{2\,f\,\left(d+c\,1{}\mathrm{i}\right)}","Not used",1,"(log(c + d*tan(e + f*x))*(a*d - b*c))/(f*(c^2 + d^2)) - (log(tan(e + f*x) - 1i)*(a*1i - b))/(2*f*(c + d*1i)) - (log(tan(e + f*x) + 1i)*(a - b*1i))/(2*f*(c*1i + d))","B"
1213,1,173,118,5.753752,"\text{Not used}","int(1/((a + b*tan(e + f*x))*(c + d*tan(e + f*x))),x)","\frac{d^2\,\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}{f\,\left(a\,d-b\,c\right)\,\left(c^2+d^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{2\,f\,\left(a\,c\,1{}\mathrm{i}+a\,d+b\,c-b\,d\,1{}\mathrm{i}\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\frac{d^2}{\left(a\,d-b\,c\right)\,\left(c^2+d^2\right)}-\frac{a\,d+b\,c}{\left(a^2+b^2\right)\,\left(c^2+d^2\right)}\right)}{f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}{2\,f\,\left(a\,d-a\,c\,1{}\mathrm{i}+b\,c+b\,d\,1{}\mathrm{i}\right)}","Not used",1,"(d^2*log(c + d*tan(e + f*x)))/(f*(a*d - b*c)*(c^2 + d^2)) - log(tan(e + f*x) + 1i)/(2*f*(a*c*1i + a*d + b*c - b*d*1i)) - (log(a + b*tan(e + f*x))*(d^2/((a*d - b*c)*(c^2 + d^2)) - (a*d + b*c)/((a^2 + b^2)*(c^2 + d^2))))/f - log(tan(e + f*x) - 1i)/(2*f*(a*d - a*c*1i + b*c + b*d*1i))","B"
1214,1,309,183,6.968561,"\text{Not used}","int(1/((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))),x)","\frac{b^2}{f\,\left(a\,d-b\,c\right)\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(d\,\left(3\,a^2\,b^2+b^4\right)-2\,a\,b^3\,c\right)}{f\,\left(a^6\,d^2-2\,a^5\,b\,c\,d+a^4\,b^2\,c^2+2\,a^4\,b^2\,d^2-4\,a^3\,b^3\,c\,d+2\,a^2\,b^4\,c^2+a^2\,b^4\,d^2-2\,a\,b^5\,c\,d+b^6\,c^2\right)}+\frac{d^3\,\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}{f\,{\left(a\,d-b\,c\right)}^2\,\left(c^2+d^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(a^2\,c-b^2\,c-2\,a\,b\,d+a^2\,d\,1{}\mathrm{i}-b^2\,d\,1{}\mathrm{i}+a\,b\,c\,2{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(b^2\,c-a^2\,c+2\,a\,b\,d+a^2\,d\,1{}\mathrm{i}-b^2\,d\,1{}\mathrm{i}+a\,b\,c\,2{}\mathrm{i}\right)}","Not used",1,"b^2/(f*(a*d - b*c)*(a^2 + b^2)*(a + b*tan(e + f*x))) - (log(tan(e + f*x) + 1i)*1i)/(2*f*(a^2*d*1i - a^2*c + b^2*c - b^2*d*1i + a*b*c*2i + 2*a*b*d)) - (log(a + b*tan(e + f*x))*(d*(b^4 + 3*a^2*b^2) - 2*a*b^3*c))/(f*(a^6*d^2 + b^6*c^2 + 2*a^2*b^4*c^2 + a^4*b^2*c^2 + a^2*b^4*d^2 + 2*a^4*b^2*d^2 - 2*a*b^5*c*d - 2*a^5*b*c*d - 4*a^3*b^3*c*d)) - (log(tan(e + f*x) - 1i)*1i)/(2*f*(a^2*c + a^2*d*1i - b^2*c - b^2*d*1i + a*b*c*2i - 2*a*b*d)) + (d^3*log(c + d*tan(e + f*x)))/(f*(a*d - b*c)^2*(c^2 + d^2))","B"
1215,1,609,279,12.024722,"\text{Not used}","int(1/((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x))),x)","\frac{d^4\,\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}{f\,{\left(a\,d-b\,c\right)}^3\,\left(c^2+d^2\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}{2\,f\,\left(a^3\,c\,1{}\mathrm{i}-a^3\,d+b^3\,c+b^3\,d\,1{}\mathrm{i}-a\,b^2\,c\,3{}\mathrm{i}-3\,a^2\,b\,c+3\,a\,b^2\,d-a^2\,b\,d\,3{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{2\,f\,\left(a^3\,c\,1{}\mathrm{i}+a^3\,d-b^3\,c+b^3\,d\,1{}\mathrm{i}-a\,b^2\,c\,3{}\mathrm{i}+3\,a^2\,b\,c-3\,a\,b^2\,d-a^2\,b\,d\,3{}\mathrm{i}\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(b^4\,\left(3\,a^2\,c^2+3\,a^2\,d^2\right)-b^6\,\left(c^2-d^2\right)+6\,a^4\,b^2\,d^2-8\,a^3\,b^3\,c\,d\right)}{f\,\left(a^9\,d^3-3\,a^8\,b\,c\,d^2+3\,a^7\,b^2\,c^2\,d+3\,a^7\,b^2\,d^3-a^6\,b^3\,c^3-9\,a^6\,b^3\,c\,d^2+9\,a^5\,b^4\,c^2\,d+3\,a^5\,b^4\,d^3-3\,a^4\,b^5\,c^3-9\,a^4\,b^5\,c\,d^2+9\,a^3\,b^6\,c^2\,d+a^3\,b^6\,d^3-3\,a^2\,b^7\,c^3-3\,a^2\,b^7\,c\,d^2+3\,a\,b^8\,c^2\,d-b^9\,c^3\right)}-\frac{\frac{-7\,d\,a^3\,b^2+5\,c\,a^2\,b^3-3\,d\,a\,b^4+c\,b^5}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3\,d\,a^2\,b^3-2\,c\,a\,b^4+d\,b^5\right)}{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{f\,\left(a^2+2\,a\,b\,\mathrm{tan}\left(e+f\,x\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}","Not used",1,"log(tan(e + f*x) - 1i)/(2*f*(a^3*c*1i - a^3*d + b^3*c + b^3*d*1i - a*b^2*c*3i - 3*a^2*b*c + 3*a*b^2*d - a^2*b*d*3i)) - ((b^5*c + 5*a^2*b^3*c - 7*a^3*b^2*d - 3*a*b^4*d)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^4 + b^4 + 2*a^2*b^2)) - (tan(e + f*x)*(b^5*d + 3*a^2*b^3*d - 2*a*b^4*c))/((a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^4 + b^4 + 2*a^2*b^2)))/(f*(a^2 + b^2*tan(e + f*x)^2 + 2*a*b*tan(e + f*x))) - log(tan(e + f*x) + 1i)/(2*f*(a^3*c*1i + a^3*d - b^3*c + b^3*d*1i - a*b^2*c*3i + 3*a^2*b*c - 3*a*b^2*d - a^2*b*d*3i)) - (log(a + b*tan(e + f*x))*(b^4*(3*a^2*c^2 + 3*a^2*d^2) - b^6*(c^2 - d^2) + 6*a^4*b^2*d^2 - 8*a^3*b^3*c*d))/(f*(a^9*d^3 - b^9*c^3 - 3*a^2*b^7*c^3 - 3*a^4*b^5*c^3 - a^6*b^3*c^3 + a^3*b^6*d^3 + 3*a^5*b^4*d^3 + 3*a^7*b^2*d^3 - 3*a^2*b^7*c*d^2 + 9*a^3*b^6*c^2*d - 9*a^4*b^5*c*d^2 + 9*a^5*b^4*c^2*d - 9*a^6*b^3*c*d^2 + 3*a^7*b^2*c^2*d + 3*a*b^8*c^2*d - 3*a^8*b*c*d^2)) + (d^4*log(c + d*tan(e + f*x)))/(f*(a*d - b*c)^3*(c^2 + d^2))","B"
1216,1,347,285,9.380399,"\text{Not used}","int((a + b*tan(e + f*x))^4/(c + d*tan(e + f*x))^2,x)","\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(d^3\,\left(12\,a\,b^3\,c^2-4\,a^3\,b\,c^2\right)+d^4\,\left(2\,a^4\,c-12\,a^2\,b^2\,c\right)-2\,b^4\,c^5+4\,a^3\,b\,d^5-4\,b^4\,c^3\,d^2+4\,a\,b^3\,c^4\,d\right)}{f\,\left(c^4\,d^3+2\,c^2\,d^5+d^7\right)}+\frac{b^4\,\mathrm{tan}\left(e+f\,x\right)}{d^2\,f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(a^4+a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2-a\,b^3\,4{}\mathrm{i}+b^4\right)}{2\,f\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^4\,1{}\mathrm{i}+4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}-4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}-\frac{a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4}{d\,f\,\left(\mathrm{tan}\left(e+f\,x\right)\,d^3+c\,d^2\right)\,\left(c^2+d^2\right)}","Not used",1,"(log(c + d*tan(e + f*x))*(d^3*(12*a*b^3*c^2 - 4*a^3*b*c^2) + d^4*(2*a^4*c - 12*a^2*b^2*c) - 2*b^4*c^5 + 4*a^3*b*d^5 - 4*b^4*c^3*d^2 + 4*a*b^3*c^4*d))/(f*(d^7 + 2*c^2*d^5 + c^4*d^3)) + (b^4*tan(e + f*x))/(d^2*f) - (log(tan(e + f*x) - 1i)*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2))/(2*f*(2*c*d - c^2*1i + d^2*1i)) - (log(tan(e + f*x) + 1i)*(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i))/(2*f*(c*d*2i - c^2 + d^2)) - (a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)/(d*f*(c*d^2 + d^3*tan(e + f*x))*(c^2 + d^2))","B"
1217,1,272,223,7.752005,"\text{Not used}","int((a + b*tan(e + f*x))^3/(c + d*tan(e + f*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}{2\,f\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}+\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(d^2\,\left(3\,b^3\,c^2-3\,a^2\,b\,c^2\right)+b^3\,c^4+d^3\,\left(2\,a^3\,c-6\,a\,b^2\,c\right)+3\,a^2\,b\,d^4\right)}{f\,\left(c^4\,d^2+2\,c^2\,d^4+d^6\right)}-\frac{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}{d^2\,f\,\left(c^2+d^2\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}","Not used",1,"(log(tan(e + f*x) - 1i)*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i))/(2*f*(2*c*d - c^2*1i + d^2*1i)) + (log(tan(e + f*x) + 1i)*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3))/(2*f*(c*d*2i - c^2 + d^2)) + (log(c + d*tan(e + f*x))*(d^2*(3*b^3*c^2 - 3*a^2*b*c^2) + b^3*c^4 + d^3*(2*a^3*c - 6*a*b^2*c) + 3*a^2*b*d^4))/(f*(d^6 + 2*c^2*d^4 + c^4*d^2)) - (a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)/(d^2*f*(c^2 + d^2)*(c + d*tan(e + f*x)))","B"
1218,1,208,126,6.953042,"\text{Not used}","int((a + b*tan(e + f*x))^2/(c + d*tan(e + f*x))^2,x)","\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(-2\,a\,b\,c^2+\left(2\,a^2-2\,b^2\right)\,c\,d+2\,a\,b\,d^2\right)}{f\,\left(c^4+2\,c^2\,d^2+d^4\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}{2\,f\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}-\frac{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}{d\,f\,\left(c^2+d^2\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}","Not used",1,"(log(c + d*tan(e + f*x))*(c*d*(2*a^2 - 2*b^2) - 2*a*b*c^2 + 2*a*b*d^2))/(f*(c^4 + d^4 + 2*c^2*d^2)) - (log(tan(e + f*x) - 1i)*(a*b*2i + a^2 - b^2))/(2*f*(2*c*d - c^2*1i + d^2*1i)) - (log(tan(e + f*x) + 1i)*(2*a*b + a^2*1i - b^2*1i))/(2*f*(c*d*2i - c^2 + d^2)) - (a^2*d^2 + b^2*c^2 - 2*a*b*c*d)/(d*f*(c^2 + d^2)*(c + d*tan(e + f*x)))","B"
1219,1,153,111,5.608672,"\text{Not used}","int((a + b*tan(e + f*x))/(c + d*tan(e + f*x))^2,x)","\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(-b\,c^2+2\,a\,c\,d+b\,d^2\right)}{f\,{\left(c^2+d^2\right)}^2}-\frac{a\,d-b\,c}{f\,\left(c^2+d^2\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(b+a\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^2+c\,d\,2{}\mathrm{i}+d^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(a+b\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^2\,1{}\mathrm{i}+2\,c\,d+d^2\,1{}\mathrm{i}\right)}","Not used",1,"(log(c + d*tan(e + f*x))*(b*d^2 - b*c^2 + 2*a*c*d))/(f*(c^2 + d^2)^2) - (a*d - b*c)/(f*(c^2 + d^2)*(c + d*tan(e + f*x))) - (log(tan(e + f*x) + 1i)*(a*1i + b))/(2*f*(c*d*2i - c^2 + d^2)) - (log(tan(e + f*x) - 1i)*(a + b*1i))/(2*f*(2*c*d - c^2*1i + d^2*1i))","B"
1220,1,374,184,7.355480,"\text{Not used}","int(1/((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^2),x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\frac{b\,c^2+2\,a\,c\,d-b\,d^2}{\left(a^2+b^2\right)\,{\left(c^2+d^2\right)}^2}+\frac{b\,d^2}{{\left(a\,d-b\,c\right)}^2\,\left(c^2+d^2\right)}-\frac{2\,c\,d^2}{\left(a\,d-b\,c\right)\,{\left(c^2+d^2\right)}^2}\right)}{f}-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(b\,\left(3\,c^2\,d^2+d^4\right)-2\,a\,c\,d^3\right)}{f\,\left(a^2\,c^4\,d^2+2\,a^2\,c^2\,d^4+a^2\,d^6-2\,a\,b\,c^5\,d-4\,a\,b\,c^3\,d^3-2\,a\,b\,c\,d^5+b^2\,c^6+2\,b^2\,c^4\,d^2+b^2\,c^2\,d^4\right)}-\frac{d^2}{f\,\left(a\,d-b\,c\right)\,\left(c^2+d^2\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(a\,c^2-a\,d^2-2\,b\,c\,d+b\,c^2\,1{}\mathrm{i}-b\,d^2\,1{}\mathrm{i}+a\,c\,d\,2{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(a\,d^2-a\,c^2+2\,b\,c\,d+b\,c^2\,1{}\mathrm{i}-b\,d^2\,1{}\mathrm{i}+a\,c\,d\,2{}\mathrm{i}\right)}","Not used",1,"(log(a + b*tan(e + f*x))*((b*c^2 - b*d^2 + 2*a*c*d)/((a^2 + b^2)*(c^2 + d^2)^2) + (b*d^2)/((a*d - b*c)^2*(c^2 + d^2)) - (2*c*d^2)/((a*d - b*c)*(c^2 + d^2)^2)))/f - (log(tan(e + f*x) + 1i)*1i)/(2*f*(a*d^2 - a*c^2 + b*c^2*1i - b*d^2*1i + a*c*d*2i + 2*b*c*d)) - (log(tan(e + f*x) - 1i)*1i)/(2*f*(a*c^2 - a*d^2 + b*c^2*1i - b*d^2*1i + a*c*d*2i - 2*b*c*d)) - (log(c + d*tan(e + f*x))*(b*(d^4 + 3*c^2*d^2) - 2*a*c*d^3))/(f*(a^2*d^6 + b^2*c^6 + 2*a^2*c^2*d^4 + a^2*c^4*d^2 + b^2*c^2*d^4 + 2*b^2*c^4*d^2 - 2*a*b*c*d^5 - 2*a*b*c^5*d - 4*a*b*c^3*d^3)) - d^2/(f*(a*d - b*c)*(c^2 + d^2)*(c + d*tan(e + f*x)))","B"
1221,1,725,290,10.380003,"\text{Not used}","int(1/((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^2),x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(d\,\left(4\,a^2\,b^3+2\,b^5\right)-2\,a\,b^4\,c\right)}{f\,\left(a^7\,d^3-3\,a^6\,b\,c\,d^2+3\,a^5\,b^2\,c^2\,d+2\,a^5\,b^2\,d^3-a^4\,b^3\,c^3-6\,a^4\,b^3\,c\,d^2+6\,a^3\,b^4\,c^2\,d+a^3\,b^4\,d^3-2\,a^2\,b^5\,c^3-3\,a^2\,b^5\,c\,d^2+3\,a\,b^6\,c^2\,d-b^7\,c^3\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}{2\,f\,\left(-a^2\,c^2\,1{}\mathrm{i}+2\,a^2\,c\,d+a^2\,d^2\,1{}\mathrm{i}+2\,a\,b\,c^2+a\,b\,c\,d\,4{}\mathrm{i}-2\,a\,b\,d^2+b^2\,c^2\,1{}\mathrm{i}-2\,b^2\,c\,d-b^2\,d^2\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{2\,f\,\left(-a^2\,c^2\,1{}\mathrm{i}-2\,a^2\,c\,d+a^2\,d^2\,1{}\mathrm{i}-2\,a\,b\,c^2+a\,b\,c\,d\,4{}\mathrm{i}+2\,a\,b\,d^2+b^2\,c^2\,1{}\mathrm{i}+2\,b^2\,c\,d-b^2\,d^2\,1{}\mathrm{i}\right)}-\frac{\frac{a^3\,d^3+a\,b^2\,d^3+b^3\,c^3+b^3\,c\,d^2}{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a^2\,c^2+a^2\,d^2+b^2\,c^2+b^2\,d^2\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,b\,d^3+b^3\,c^2\,d+2\,b^3\,d^3\right)}{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a^2\,c^2+a^2\,d^2+b^2\,c^2+b^2\,d^2\right)}}{f\,\left(b\,d\,{\mathrm{tan}\left(e+f\,x\right)}^2+\left(a\,d+b\,c\right)\,\mathrm{tan}\left(e+f\,x\right)+a\,c\right)}-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(b\,\left(4\,c^2\,d^3+2\,d^5\right)-2\,a\,c\,d^4\right)}{f\,\left(a^3\,c^4\,d^3+2\,a^3\,c^2\,d^5+a^3\,d^7-3\,a^2\,b\,c^5\,d^2-6\,a^2\,b\,c^3\,d^4-3\,a^2\,b\,c\,d^6+3\,a\,b^2\,c^6\,d+6\,a\,b^2\,c^4\,d^3+3\,a\,b^2\,c^2\,d^5-b^3\,c^7-2\,b^3\,c^5\,d^2-b^3\,c^3\,d^4\right)}","Not used",1,"log(tan(e + f*x) + 1i)/(2*f*(a^2*d^2*1i - a^2*c^2*1i + b^2*c^2*1i - b^2*d^2*1i - 2*a*b*c^2 + 2*a*b*d^2 - 2*a^2*c*d + 2*b^2*c*d + a*b*c*d*4i)) - log(tan(e + f*x) - 1i)/(2*f*(a^2*d^2*1i - a^2*c^2*1i + b^2*c^2*1i - b^2*d^2*1i + 2*a*b*c^2 - 2*a*b*d^2 + 2*a^2*c*d - 2*b^2*c*d + a*b*c*d*4i)) - ((a^3*d^3 + b^3*c^3 + a*b^2*d^3 + b^3*c*d^2)/((a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^2*c^2 + a^2*d^2 + b^2*c^2 + b^2*d^2)) + (tan(e + f*x)*(2*b^3*d^3 + a^2*b*d^3 + b^3*c^2*d))/((a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^2*c^2 + a^2*d^2 + b^2*c^2 + b^2*d^2)))/(f*(a*c + tan(e + f*x)*(a*d + b*c) + b*d*tan(e + f*x)^2)) + (log(a + b*tan(e + f*x))*(d*(2*b^5 + 4*a^2*b^3) - 2*a*b^4*c))/(f*(a^7*d^3 - b^7*c^3 - 2*a^2*b^5*c^3 - a^4*b^3*c^3 + a^3*b^4*d^3 + 2*a^5*b^2*d^3 - 3*a^2*b^5*c*d^2 + 6*a^3*b^4*c^2*d - 6*a^4*b^3*c*d^2 + 3*a^5*b^2*c^2*d + 3*a*b^6*c^2*d - 3*a^6*b*c*d^2)) - (log(c + d*tan(e + f*x))*(b*(2*d^5 + 4*c^2*d^3) - 2*a*c*d^4))/(f*(a^3*d^7 - b^3*c^7 + 2*a^3*c^2*d^5 + a^3*c^4*d^3 - b^3*c^3*d^4 - 2*b^3*c^5*d^2 + 3*a*b^2*c^2*d^5 + 6*a*b^2*c^4*d^3 - 6*a^2*b*c^3*d^4 - 3*a^2*b*c^5*d^2 + 3*a*b^2*c^6*d - 3*a^2*b*c*d^6))","B"
1222,1,1421,457,34.606958,"\text{Not used}","int(1/((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x))^2),x)","-\frac{\frac{2\,a^6\,d^4+4\,a^4\,b^2\,d^4+9\,a^3\,b^3\,c^3\,d+9\,a^3\,b^3\,c\,d^3-5\,a^2\,b^4\,c^4-5\,a^2\,b^4\,c^2\,d^2+2\,a^2\,b^4\,d^4+5\,a\,b^5\,c^3\,d+5\,a\,b^5\,c\,d^3-b^6\,c^4-b^6\,c^2\,d^2}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(a^4\,c^2+a^4\,d^2+2\,a^2\,b^2\,c^2+2\,a^2\,b^2\,d^2+b^4\,c^2+b^4\,d^2\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,a^5\,b\,d^4+9\,a^3\,b^3\,c^2\,d^2+17\,a^3\,b^3\,d^4+3\,a^2\,b^4\,c^3\,d+3\,a^2\,b^4\,c\,d^3-4\,a\,b^5\,c^4+a\,b^5\,c^2\,d^2+9\,a\,b^5\,d^4+3\,b^6\,c^3\,d+3\,b^6\,c\,d^3\right)}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(a^4\,c^2+a^4\,d^2+2\,a^2\,b^2\,c^2+2\,a^2\,b^2\,d^2+b^4\,c^2+b^4\,d^2\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a^4\,b^2\,d^4+4\,a^2\,b^4\,c^2\,d^2+6\,a^2\,b^4\,d^4-2\,a\,b^5\,c^3\,d-2\,a\,b^5\,c\,d^3+2\,b^6\,c^2\,d^2+3\,b^6\,d^4\right)}{\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(a^4\,c^2+a^4\,d^2+2\,a^2\,b^2\,c^2+2\,a^2\,b^2\,d^2+b^4\,c^2+b^4\,d^2\right)}}{f\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(d\,a^2+2\,b\,c\,a\right)+a^2\,c+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(c\,b^2+2\,a\,d\,b\right)+b^2\,d\,{\mathrm{tan}\left(e+f\,x\right)}^3\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(d\,\left(10\,c\,a^3\,b^4+2\,c\,a\,b^6\right)-d^2\,\left(10\,a^4\,b^3+9\,a^2\,b^5+3\,b^7\right)+b^7\,c^2-3\,a^2\,b^5\,c^2\right)}{f\,\left(a^{10}\,d^4-4\,a^9\,b\,c\,d^3+6\,a^8\,b^2\,c^2\,d^2+3\,a^8\,b^2\,d^4-4\,a^7\,b^3\,c^3\,d-12\,a^7\,b^3\,c\,d^3+a^6\,b^4\,c^4+18\,a^6\,b^4\,c^2\,d^2+3\,a^6\,b^4\,d^4-12\,a^5\,b^5\,c^3\,d-12\,a^5\,b^5\,c\,d^3+3\,a^4\,b^6\,c^4+18\,a^4\,b^6\,c^2\,d^2+a^4\,b^6\,d^4-12\,a^3\,b^7\,c^3\,d-4\,a^3\,b^7\,c\,d^3+3\,a^2\,b^8\,c^4+6\,a^2\,b^8\,c^2\,d^2-4\,a\,b^9\,c^3\,d+b^{10}\,c^4\right)}-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(b\,\left(5\,c^2\,d^4+3\,d^6\right)-2\,a\,c\,d^5\right)}{f\,\left(a^4\,c^4\,d^4+2\,a^4\,c^2\,d^6+a^4\,d^8-4\,a^3\,b\,c^5\,d^3-8\,a^3\,b\,c^3\,d^5-4\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2+12\,a^2\,b^2\,c^4\,d^4+6\,a^2\,b^2\,c^2\,d^6-4\,a\,b^3\,c^7\,d-8\,a\,b^3\,c^5\,d^3-4\,a\,b^3\,c^3\,d^5+b^4\,c^8+2\,b^4\,c^6\,d^2+b^4\,c^4\,d^4\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(a^3\,c^2+a^3\,c\,d\,2{}\mathrm{i}-a^3\,d^2+a^2\,b\,c^2\,3{}\mathrm{i}-6\,a^2\,b\,c\,d-a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,c^2-a\,b^2\,c\,d\,6{}\mathrm{i}+3\,a\,b^2\,d^2-b^3\,c^2\,1{}\mathrm{i}+2\,b^3\,c\,d+b^3\,d^2\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(a^3\,c^2-a^3\,c\,d\,2{}\mathrm{i}-a^3\,d^2-a^2\,b\,c^2\,3{}\mathrm{i}-6\,a^2\,b\,c\,d+a^2\,b\,d^2\,3{}\mathrm{i}-3\,a\,b^2\,c^2+a\,b^2\,c\,d\,6{}\mathrm{i}+3\,a\,b^2\,d^2+b^3\,c^2\,1{}\mathrm{i}+2\,b^3\,c\,d-b^3\,d^2\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(e + f*x) + 1i)*1i)/(2*f*(a^3*c^2 - a^3*d^2 + b^3*c^2*1i - b^3*d^2*1i - 3*a*b^2*c^2 - a^2*b*c^2*3i + 3*a*b^2*d^2 + a^2*b*d^2*3i - a^3*c*d*2i + 2*b^3*c*d + a*b^2*c*d*6i - 6*a^2*b*c*d)) - (log(tan(e + f*x) - 1i)*1i)/(2*f*(a^3*c^2 - a^3*d^2 - b^3*c^2*1i + b^3*d^2*1i - 3*a*b^2*c^2 + a^2*b*c^2*3i + 3*a*b^2*d^2 - a^2*b*d^2*3i + a^3*c*d*2i + 2*b^3*c*d - a*b^2*c*d*6i - 6*a^2*b*c*d)) - ((2*a^6*d^4 - b^6*c^4 - 5*a^2*b^4*c^4 + 2*a^2*b^4*d^4 + 4*a^4*b^2*d^4 - b^6*c^2*d^2 + 9*a^3*b^3*c*d^3 + 9*a^3*b^3*c^3*d - 5*a^2*b^4*c^2*d^2 + 5*a*b^5*c*d^3 + 5*a*b^5*c^3*d)/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^4*c^2 + a^4*d^2 + b^4*c^2 + b^4*d^2 + 2*a^2*b^2*c^2 + 2*a^2*b^2*d^2)) + (tan(e + f*x)*(9*a*b^5*d^4 - 4*a*b^5*c^4 + 4*a^5*b*d^4 + 3*b^6*c*d^3 + 3*b^6*c^3*d + 17*a^3*b^3*d^4 + a*b^5*c^2*d^2 + 3*a^2*b^4*c*d^3 + 3*a^2*b^4*c^3*d + 9*a^3*b^3*c^2*d^2))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^4*c^2 + a^4*d^2 + b^4*c^2 + b^4*d^2 + 2*a^2*b^2*c^2 + 2*a^2*b^2*d^2)) + (tan(e + f*x)^2*(3*b^6*d^4 + 6*a^2*b^4*d^4 + a^4*b^2*d^4 + 2*b^6*c^2*d^2 + 4*a^2*b^4*c^2*d^2 - 2*a*b^5*c*d^3 - 2*a*b^5*c^3*d))/((a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^4*c^2 + a^4*d^2 + b^4*c^2 + b^4*d^2 + 2*a^2*b^2*c^2 + 2*a^2*b^2*d^2)))/(f*(tan(e + f*x)*(a^2*d + 2*a*b*c) + a^2*c + tan(e + f*x)^2*(b^2*c + 2*a*b*d) + b^2*d*tan(e + f*x)^3)) - (log(a + b*tan(e + f*x))*(d*(10*a^3*b^4*c + 2*a*b^6*c) - d^2*(3*b^7 + 9*a^2*b^5 + 10*a^4*b^3) + b^7*c^2 - 3*a^2*b^5*c^2))/(f*(a^10*d^4 + b^10*c^4 + 3*a^2*b^8*c^4 + 3*a^4*b^6*c^4 + a^6*b^4*c^4 + a^4*b^6*d^4 + 3*a^6*b^4*d^4 + 3*a^8*b^2*d^4 - 4*a^3*b^7*c*d^3 - 12*a^3*b^7*c^3*d - 12*a^5*b^5*c*d^3 - 12*a^5*b^5*c^3*d - 12*a^7*b^3*c*d^3 - 4*a^7*b^3*c^3*d + 6*a^2*b^8*c^2*d^2 + 18*a^4*b^6*c^2*d^2 + 18*a^6*b^4*c^2*d^2 + 6*a^8*b^2*c^2*d^2 - 4*a*b^9*c^3*d - 4*a^9*b*c*d^3)) - (log(c + d*tan(e + f*x))*(b*(3*d^6 + 5*c^2*d^4) - 2*a*c*d^5))/(f*(a^4*d^8 + b^4*c^8 + 2*a^4*c^2*d^6 + a^4*c^4*d^4 + b^4*c^4*d^4 + 2*b^4*c^6*d^2 - 4*a*b^3*c^3*d^5 - 8*a*b^3*c^5*d^3 - 8*a^3*b*c^3*d^5 - 4*a^3*b*c^5*d^3 + 6*a^2*b^2*c^2*d^6 + 12*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 4*a*b^3*c^7*d - 4*a^3*b*c*d^7))","B"
1223,1,578,406,10.251312,"\text{Not used}","int((a + b*tan(e + f*x))^4/(c + d*tan(e + f*x))^3,x)","-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\frac{d^6\,\left(a^4-6\,a^2\,b^2\right)-c^2\,\left(d^4\,\left(3\,a^4-18\,a^2\,b^2+6\,b^4\right)-3\,b^4\,d^4\right)+b^4\,d^6-c^3\,d^3\,\left(4\,a\,b^3-4\,a^3\,b\right)+c\,d^5\,\left(12\,a\,b^3-12\,a^3\,b\right)}{c^6\,d^3+3\,c^4\,d^5+3\,c^2\,d^7+d^9}-\frac{b^4}{d^3}\right)}{f}-\frac{\frac{5\,a^4\,c^2\,d^4+a^4\,d^6-12\,a^3\,b\,c^3\,d^3+4\,a^3\,b\,c\,d^5+6\,a^2\,b^2\,c^4\,d^2-18\,a^2\,b^2\,c^2\,d^4+4\,a\,b^3\,c^5\,d+20\,a\,b^3\,c^3\,d^3-3\,b^4\,c^6-7\,b^4\,c^4\,d^2}{2\,d^3\,\left(c^4+2\,c^2\,d^2+d^4\right)}-\frac{2\,\mathrm{tan}\left(e+f\,x\right)\,\left(-a^4\,c\,d^4+2\,a^3\,b\,c^2\,d^3-2\,a^3\,b\,d^5+6\,a^2\,b^2\,c\,d^4-2\,a\,b^3\,c^4\,d-6\,a\,b^3\,c^2\,d^3+b^4\,c^5+2\,b^4\,c^3\,d^2\right)}{d^2\,\left(c^4+2\,c^2\,d^2+d^4\right)}}{f\,\left(c^2+2\,c\,d\,\mathrm{tan}\left(e+f\,x\right)+d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}{2\,f\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(e + f*x) + 1i)*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2))/(2*f*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3)) - ((a^4*d^6 - 3*b^4*c^6 + 5*a^4*c^2*d^4 - 7*b^4*c^4*d^2 + 20*a*b^3*c^3*d^3 - 12*a^3*b*c^3*d^3 - 18*a^2*b^2*c^2*d^4 + 6*a^2*b^2*c^4*d^2 + 4*a*b^3*c^5*d + 4*a^3*b*c*d^5)/(2*d^3*(c^4 + d^4 + 2*c^2*d^2)) - (2*tan(e + f*x)*(b^4*c^5 - 2*a^3*b*d^5 - a^4*c*d^4 + 2*b^4*c^3*d^2 - 6*a*b^3*c^2*d^3 + 6*a^2*b^2*c*d^4 + 2*a^3*b*c^2*d^3 - 2*a*b^3*c^4*d))/(d^2*(c^4 + d^4 + 2*c^2*d^2)))/(f*(c^2 + d^2*tan(e + f*x)^2 + 2*c*d*tan(e + f*x))) - (log(c + d*tan(e + f*x))*((d^6*(a^4 - 6*a^2*b^2) - c^2*(d^4*(3*a^4 + 6*b^4 - 18*a^2*b^2) - 3*b^4*d^4) + b^4*d^6 - c^3*d^3*(4*a*b^3 - 4*a^3*b) + c*d^5*(12*a*b^3 - 12*a^3*b))/(d^9 + 3*c^2*d^7 + 3*c^4*d^5 + c^6*d^3) - b^4/d^3))/f + (log(tan(e + f*x) - 1i)*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i))/(2*f*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i))","B"
1224,1,466,240,8.287226,"\text{Not used}","int((a + b*tan(e + f*x))^3/(c + d*tan(e + f*x))^3,x)","-\frac{\frac{5\,a^3\,c^2\,d^3+a^3\,d^5-9\,a^2\,b\,c^3\,d^2+3\,a^2\,b\,c\,d^4+3\,a\,b^2\,c^4\,d-9\,a\,b^2\,c^2\,d^3+b^3\,c^5+5\,b^3\,c^3\,d^2}{2\,d^2\,\left(c^4+2\,c^2\,d^2+d^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^3\,c\,d^3-3\,a^2\,b\,c^2\,d^2+3\,a^2\,b\,d^4-6\,a\,b^2\,c\,d^3+b^3\,c^4+3\,b^3\,c^2\,d^2\right)}{d\,\left(c^4+2\,c^2\,d^2+d^4\right)}}{f\,\left(c^2+2\,c\,d\,\mathrm{tan}\left(e+f\,x\right)+d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-a^3\,1{}\mathrm{i}+3\,a^2\,b+a\,b^2\,3{}\mathrm{i}-b^3\right)}{2\,f\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\left(3\,a^2\,b-b^3\right)\,c^3+\left(9\,a\,b^2-3\,a^3\right)\,c^2\,d+\left(3\,b^3-9\,a^2\,b\right)\,c\,d^2+\left(a^3-3\,a\,b^2\right)\,d^3\right)}{f\,\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-a^3+a^2\,b\,3{}\mathrm{i}+3\,a\,b^2-b^3\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}","Not used",1,"- ((a^3*d^5 + b^3*c^5 + 5*a^3*c^2*d^3 + 5*b^3*c^3*d^2 - 9*a*b^2*c^2*d^3 - 9*a^2*b*c^3*d^2 + 3*a*b^2*c^4*d + 3*a^2*b*c*d^4)/(2*d^2*(c^4 + d^4 + 2*c^2*d^2)) + (tan(e + f*x)*(b^3*c^4 + 3*a^2*b*d^4 + 2*a^3*c*d^3 + 3*b^3*c^2*d^2 - 3*a^2*b*c^2*d^2 - 6*a*b^2*c*d^3))/(d*(c^4 + d^4 + 2*c^2*d^2)))/(f*(c^2 + d^2*tan(e + f*x)^2 + 2*c*d*tan(e + f*x))) - (log(tan(e + f*x) - 1i)*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3))/(2*f*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)) - (log(c + d*tan(e + f*x))*(c^3*(3*a^2*b - b^3) - d^3*(3*a*b^2 - a^3) + c^2*d*(9*a*b^2 - 3*a^3) - c*d^2*(9*a^2*b - 3*b^3)))/(f*(c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)) - (log(tan(e + f*x) + 1i)*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i))/(2*f*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3))","B"
1225,1,367,221,7.415390,"\text{Not used}","int((a + b*tan(e + f*x))^2/(c + d*tan(e + f*x))^3,x)","-\frac{\frac{2\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,c\,d^2-a\,b\,c^2\,d+a\,b\,d^3-b^2\,c\,d^2\right)}{c^4+2\,c^2\,d^2+d^4}+\frac{5\,a^2\,c^2\,d^2+a^2\,d^4-6\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4-3\,b^2\,c^2\,d^2}{2\,d\,\left(c^4+2\,c^2\,d^2+d^4\right)}}{f\,\left(c^2+2\,c\,d\,\mathrm{tan}\left(e+f\,x\right)+d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}{2\,f\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(2\,a\,b\,c^3+\left(3\,b^2-3\,a^2\right)\,c^2\,d-6\,a\,b\,c\,d^2+\left(a^2-b^2\right)\,d^3\right)}{f\,\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)}","Not used",1,"- ((2*tan(e + f*x)*(a^2*c*d^2 - b^2*c*d^2 + a*b*d^3 - a*b*c^2*d))/(c^4 + d^4 + 2*c^2*d^2) + (a^2*d^4 + b^2*c^4 + 5*a^2*c^2*d^2 - 3*b^2*c^2*d^2 + 2*a*b*c*d^3 - 6*a*b*c^3*d)/(2*d*(c^4 + d^4 + 2*c^2*d^2)))/(f*(c^2 + d^2*tan(e + f*x)^2 + 2*c*d*tan(e + f*x))) - (log(tan(e + f*x) - 1i)*(2*a*b - a^2*1i + b^2*1i))/(2*f*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)) - (log(tan(e + f*x) + 1i)*(a*b*2i - a^2 + b^2))/(2*f*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3)) - (log(c + d*tan(e + f*x))*(d^3*(a^2 - b^2) - c^2*d*(3*a^2 - 3*b^2) + 2*a*b*c^3 - 6*a*b*c*d^2))/(f*(c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2))","B"
1226,1,279,177,5.661486,"\text{Not used}","int((a + b*tan(e + f*x))/(c + d*tan(e + f*x))^3,x)","\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\frac{3\,a\,d-b\,c}{{\left(c^2+d^2\right)}^2}-\frac{4\,d^2\,\left(a\,d-b\,c\right)}{{\left(c^2+d^2\right)}^3}\right)}{f}-\frac{\frac{-3\,b\,c^3+5\,a\,c^2\,d+b\,c\,d^2+a\,d^3}{2\,\left(c^4+2\,c^2\,d^2+d^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-b\,c^2\,d+2\,a\,c\,d^2+b\,d^3\right)}{c^4+2\,c^2\,d^2+d^4}}{f\,\left(c^2+2\,c\,d\,\mathrm{tan}\left(e+f\,x\right)+d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-b+a\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(a-b\,1{}\mathrm{i}\right)}{2\,f\,\left(-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3\right)}","Not used",1,"(log(c + d*tan(e + f*x))*((3*a*d - b*c)/(c^2 + d^2)^2 - (4*d^2*(a*d - b*c))/(c^2 + d^2)^3))/f - ((a*d^3 - 3*b*c^3 + 5*a*c^2*d + b*c*d^2)/(2*(c^4 + d^4 + 2*c^2*d^2)) + (tan(e + f*x)*(b*d^3 + 2*a*c*d^2 - b*c^2*d))/(c^4 + d^4 + 2*c^2*d^2))/(f*(c^2 + d^2*tan(e + f*x)^2 + 2*c*d*tan(e + f*x))) + (log(tan(e + f*x) - 1i)*(a*1i - b))/(2*f*(3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)) + (log(tan(e + f*x) + 1i)*(a - b*1i))/(2*f*(c*d^2*3i - 3*c^2*d - c^3*1i + d^3))","B"
1227,1,719,286,12.643576,"\text{Not used}","int(1/((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^3),x)","\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(d^4\,\left(3\,a^2\,c^2+3\,b^2\,c^2\right)-d^6\,\left(a^2-b^2\right)+6\,b^2\,c^4\,d^2-8\,a\,b\,c^3\,d^3\right)}{f\,\left(a^3\,c^6\,d^3+3\,a^3\,c^4\,d^5+3\,a^3\,c^2\,d^7+a^3\,d^9-3\,a^2\,b\,c^7\,d^2-9\,a^2\,b\,c^5\,d^4-9\,a^2\,b\,c^3\,d^6-3\,a^2\,b\,c\,d^8+3\,a\,b^2\,c^8\,d+9\,a\,b^2\,c^6\,d^3+9\,a\,b^2\,c^4\,d^5+3\,a\,b^2\,c^2\,d^7-b^3\,c^9-3\,b^3\,c^7\,d^2-3\,b^3\,c^5\,d^4-b^3\,c^3\,d^6\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\frac{-b\,c^3-3\,a\,c^2\,d+3\,b\,c\,d^2+a\,d^3}{\left(a^2+b^2\right)\,{\left(c^2+d^2\right)}^3}+\frac{d^2\,\left(3\,c^2-d^2\right)}{\left(a\,d-b\,c\right)\,{\left(c^2+d^2\right)}^3}+\frac{b^2\,d^2}{{\left(a\,d-b\,c\right)}^3\,\left(c^2+d^2\right)}-\frac{2\,b\,c\,d^2}{{\left(a\,d-b\,c\right)}^2\,{\left(c^2+d^2\right)}^2}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}{2\,f\,\left(a\,c^3\,1{}\mathrm{i}+a\,d^3-b\,c^3+b\,d^3\,1{}\mathrm{i}-a\,c\,d^2\,3{}\mathrm{i}-3\,a\,c^2\,d+3\,b\,c\,d^2-b\,c^2\,d\,3{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{2\,f\,\left(a\,c^3\,1{}\mathrm{i}-a\,d^3+b\,c^3+b\,d^3\,1{}\mathrm{i}-a\,c\,d^2\,3{}\mathrm{i}+3\,a\,c^2\,d-3\,b\,c\,d^2-b\,c^2\,d\,3{}\mathrm{i}\right)}-\frac{\frac{-7\,b\,c^3\,d^2+5\,a\,c^2\,d^3-3\,b\,c\,d^4+a\,d^5}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(c^4+2\,c^2\,d^2+d^4\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3\,b\,c^2\,d^3-2\,a\,c\,d^4+b\,d^5\right)}{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(c^4+2\,c^2\,d^2+d^4\right)}}{f\,\left(c^2+2\,c\,d\,\mathrm{tan}\left(e+f\,x\right)+d^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}","Not used",1,"log(tan(e + f*x) - 1i)/(2*f*(a*c^3*1i + a*d^3 - b*c^3 + b*d^3*1i - a*c*d^2*3i - 3*a*c^2*d + 3*b*c*d^2 - b*c^2*d*3i)) - (log(a + b*tan(e + f*x))*((a*d^3 - b*c^3 - 3*a*c^2*d + 3*b*c*d^2)/((a^2 + b^2)*(c^2 + d^2)^3) + (d^2*(3*c^2 - d^2))/((a*d - b*c)*(c^2 + d^2)^3) + (b^2*d^2)/((a*d - b*c)^3*(c^2 + d^2)) - (2*b*c*d^2)/((a*d - b*c)^2*(c^2 + d^2)^2)))/f - ((a*d^5 + 5*a*c^2*d^3 - 7*b*c^3*d^2 - 3*b*c*d^4)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(c^4 + d^4 + 2*c^2*d^2)) - (tan(e + f*x)*(b*d^5 + 3*b*c^2*d^3 - 2*a*c*d^4))/((a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(c^4 + d^4 + 2*c^2*d^2)))/(f*(c^2 + d^2*tan(e + f*x)^2 + 2*c*d*tan(e + f*x))) - log(tan(e + f*x) + 1i)/(2*f*(a*c^3*1i - a*d^3 + b*c^3 + b*d^3*1i - a*c*d^2*3i + 3*a*c^2*d - 3*b*c*d^2 - b*c^2*d*3i)) + (log(c + d*tan(e + f*x))*(d^4*(3*a^2*c^2 + 3*b^2*c^2) - d^6*(a^2 - b^2) + 6*b^2*c^4*d^2 - 8*a*b*c^3*d^3))/(f*(a^3*d^9 - b^3*c^9 + 3*a^3*c^2*d^7 + 3*a^3*c^4*d^5 + a^3*c^6*d^3 - b^3*c^3*d^6 - 3*b^3*c^5*d^4 - 3*b^3*c^7*d^2 + 3*a*b^2*c^2*d^7 + 9*a*b^2*c^4*d^5 + 9*a*b^2*c^6*d^3 - 9*a^2*b*c^3*d^6 - 9*a^2*b*c^5*d^4 - 3*a^2*b*c^7*d^2 + 3*a*b^2*c^8*d - 3*a^2*b*c*d^8))","B"
1228,1,1417,457,18.886363,"\text{Not used}","int(1/((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^3),x)","\frac{\frac{-5\,a^4\,c^2\,d^4-a^4\,d^6+9\,a^3\,b\,c^3\,d^3+5\,a^3\,b\,c\,d^5-5\,a^2\,b^2\,c^2\,d^4-a^2\,b^2\,d^6+9\,a\,b^3\,c^3\,d^3+5\,a\,b^3\,c\,d^5+2\,b^4\,c^6+4\,b^4\,c^4\,d^2+2\,b^4\,c^2\,d^4}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(a^2\,c^4+2\,a^2\,c^2\,d^2+a^2\,d^4+b^2\,c^4+2\,b^2\,c^2\,d^2+b^2\,d^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-4\,a^4\,c\,d^5+3\,a^3\,b\,c^2\,d^4+3\,a^3\,b\,d^6+9\,a^2\,b^2\,c^3\,d^3+a^2\,b^2\,c\,d^5+3\,a\,b^3\,c^2\,d^4+3\,a\,b^3\,d^6+4\,b^4\,c^5\,d+17\,b^4\,c^3\,d^3+9\,b^4\,c\,d^5\right)}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(a^2\,c^4+2\,a^2\,c^2\,d^2+a^2\,d^4+b^2\,c^4+2\,b^2\,c^2\,d^2+b^2\,d^4\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-2\,a^3\,b\,c\,d^5+4\,a^2\,b^2\,c^2\,d^4+2\,a^2\,b^2\,d^6-2\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2+6\,b^4\,c^2\,d^4+3\,b^4\,d^6\right)}{\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(a^2\,c^4+2\,a^2\,c^2\,d^2+a^2\,d^4+b^2\,c^4+2\,b^2\,c^2\,d^2+b^2\,d^4\right)}}{f\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(b\,c^2+2\,a\,d\,c\right)+a\,c^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a\,d^2+2\,b\,c\,d\right)+b\,d^2\,{\mathrm{tan}\left(e+f\,x\right)}^3\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(d\,\left(5\,a^2\,b^4+3\,b^6\right)-2\,a\,b^5\,c\right)}{f\,\left(a^8\,d^4-4\,a^7\,b\,c\,d^3+6\,a^6\,b^2\,c^2\,d^2+2\,a^6\,b^2\,d^4-4\,a^5\,b^3\,c^3\,d-8\,a^5\,b^3\,c\,d^3+a^4\,b^4\,c^4+12\,a^4\,b^4\,c^2\,d^2+a^4\,b^4\,d^4-8\,a^3\,b^5\,c^3\,d-4\,a^3\,b^5\,c\,d^3+2\,a^2\,b^6\,c^4+6\,a^2\,b^6\,c^2\,d^2-4\,a\,b^7\,c^3\,d+b^8\,c^4\right)}-\frac{\ln\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(\left(d^7-3\,c^2\,d^5\right)\,a^2+\left(10\,c^3\,d^4+2\,c\,d^6\right)\,a\,b+\left(-10\,c^4\,d^3-9\,c^2\,d^5-3\,d^7\right)\,b^2\right)}{f\,\left(a^4\,c^6\,d^4+3\,a^4\,c^4\,d^6+3\,a^4\,c^2\,d^8+a^4\,d^{10}-4\,a^3\,b\,c^7\,d^3-12\,a^3\,b\,c^5\,d^5-12\,a^3\,b\,c^3\,d^7-4\,a^3\,b\,c\,d^9+6\,a^2\,b^2\,c^8\,d^2+18\,a^2\,b^2\,c^6\,d^4+18\,a^2\,b^2\,c^4\,d^6+6\,a^2\,b^2\,c^2\,d^8-4\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3-12\,a\,b^3\,c^5\,d^5-4\,a\,b^3\,c^3\,d^7+b^4\,c^{10}+3\,b^4\,c^8\,d^2+3\,b^4\,c^6\,d^4+b^4\,c^4\,d^6\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(a^2\,c^3+a^2\,c^2\,d\,3{}\mathrm{i}-3\,a^2\,c\,d^2-a^2\,d^3\,1{}\mathrm{i}+a\,b\,c^3\,2{}\mathrm{i}-6\,a\,b\,c^2\,d-a\,b\,c\,d^2\,6{}\mathrm{i}+2\,a\,b\,d^3-b^2\,c^3-b^2\,c^2\,d\,3{}\mathrm{i}+3\,b^2\,c\,d^2+b^2\,d^3\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(a^2\,c^3-a^2\,c^2\,d\,3{}\mathrm{i}-3\,a^2\,c\,d^2+a^2\,d^3\,1{}\mathrm{i}-a\,b\,c^3\,2{}\mathrm{i}-6\,a\,b\,c^2\,d+a\,b\,c\,d^2\,6{}\mathrm{i}+2\,a\,b\,d^3-b^2\,c^3+b^2\,c^2\,d\,3{}\mathrm{i}+3\,b^2\,c\,d^2-b^2\,d^3\,1{}\mathrm{i}\right)}","Not used",1,"((2*b^4*c^6 - a^4*d^6 - a^2*b^2*d^6 - 5*a^4*c^2*d^4 + 2*b^4*c^2*d^4 + 4*b^4*c^4*d^2 + 9*a*b^3*c^3*d^3 + 9*a^3*b*c^3*d^3 - 5*a^2*b^2*c^2*d^4 + 5*a*b^3*c*d^5 + 5*a^3*b*c*d^5)/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^2*c^4 + a^2*d^4 + b^2*c^4 + b^2*d^4 + 2*a^2*c^2*d^2 + 2*b^2*c^2*d^2)) + (tan(e + f*x)*(3*a*b^3*d^6 + 3*a^3*b*d^6 - 4*a^4*c*d^5 + 9*b^4*c*d^5 + 4*b^4*c^5*d + 17*b^4*c^3*d^3 + 3*a*b^3*c^2*d^4 + a^2*b^2*c*d^5 + 3*a^3*b*c^2*d^4 + 9*a^2*b^2*c^3*d^3))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^2*c^4 + a^2*d^4 + b^2*c^4 + b^2*d^4 + 2*a^2*c^2*d^2 + 2*b^2*c^2*d^2)) + (tan(e + f*x)^2*(3*b^4*d^6 + 2*a^2*b^2*d^6 + 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 4*a^2*b^2*c^2*d^4 - 2*a*b^3*c*d^5 - 2*a^3*b*c*d^5))/((a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^2*c^4 + a^2*d^4 + b^2*c^4 + b^2*d^4 + 2*a^2*c^2*d^2 + 2*b^2*c^2*d^2)))/(f*(tan(e + f*x)*(b*c^2 + 2*a*c*d) + a*c^2 + tan(e + f*x)^2*(a*d^2 + 2*b*c*d) + b*d^2*tan(e + f*x)^3)) - (log(tan(e + f*x) - 1i)*1i)/(2*f*(a^2*c^3 - a^2*d^3*1i - b^2*c^3 + b^2*d^3*1i - 3*a^2*c*d^2 + a^2*c^2*d*3i + 3*b^2*c*d^2 - b^2*c^2*d*3i + a*b*c^3*2i + 2*a*b*d^3 - a*b*c*d^2*6i - 6*a*b*c^2*d)) + (log(tan(e + f*x) + 1i)*1i)/(2*f*(a^2*c^3 + a^2*d^3*1i - b^2*c^3 - b^2*d^3*1i - 3*a^2*c*d^2 - a^2*c^2*d*3i + 3*b^2*c*d^2 + b^2*c^2*d*3i - a*b*c^3*2i + 2*a*b*d^3 + a*b*c*d^2*6i - 6*a*b*c^2*d)) - (log(a + b*tan(e + f*x))*(d*(3*b^6 + 5*a^2*b^4) - 2*a*b^5*c))/(f*(a^8*d^4 + b^8*c^4 + 2*a^2*b^6*c^4 + a^4*b^4*c^4 + a^4*b^4*d^4 + 2*a^6*b^2*d^4 - 4*a^3*b^5*c*d^3 - 8*a^3*b^5*c^3*d - 8*a^5*b^3*c*d^3 - 4*a^5*b^3*c^3*d + 6*a^2*b^6*c^2*d^2 + 12*a^4*b^4*c^2*d^2 + 6*a^6*b^2*c^2*d^2 - 4*a*b^7*c^3*d - 4*a^7*b*c*d^3)) - (log(c + d*tan(e + f*x))*(a^2*(d^7 - 3*c^2*d^5) - b^2*(3*d^7 + 9*c^2*d^5 + 10*c^4*d^3) + a*b*(2*c*d^6 + 10*c^3*d^4)))/(f*(a^4*d^10 + b^4*c^10 + 3*a^4*c^2*d^8 + 3*a^4*c^4*d^6 + a^4*c^6*d^4 + b^4*c^4*d^6 + 3*b^4*c^6*d^4 + 3*b^4*c^8*d^2 - 4*a*b^3*c^3*d^7 - 12*a*b^3*c^5*d^5 - 12*a*b^3*c^7*d^3 - 12*a^3*b*c^3*d^7 - 12*a^3*b*c^5*d^5 - 4*a^3*b*c^7*d^3 + 6*a^2*b^2*c^2*d^8 + 18*a^2*b^2*c^4*d^6 + 18*a^2*b^2*c^6*d^4 + 6*a^2*b^2*c^8*d^2 - 4*a*b^3*c^9*d - 4*a^3*b*c*d^9))","B"
1229,1,10306,209,21.263291,"\text{Not used}","int((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x))^(1/2),x)","\frac{2\,b^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d^2\,f}-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c\,\left(\frac{6\,b^3\,c-6\,a\,b^2\,d}{d^2\,f}-\frac{4\,b^3\,c}{d^2\,f}\right)-\frac{6\,b\,{\left(a\,d-b\,c\right)}^2}{d^2\,f}+\frac{2\,b^3\,\left(c^2+d^2\right)}{d^2\,f}\right)-\left(\frac{6\,b^3\,c-6\,a\,b^2\,d}{3\,d^2\,f}-\frac{4\,b^3\,c}{3\,d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}+\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}+\frac{16\,\left(a^9\,c^2\,d^3+a^9\,d^5+3\,a^8\,b\,c^3\,d^2+3\,a^8\,b\,c\,d^4+8\,a^6\,b^3\,c^3\,d^2+8\,a^6\,b^3\,c\,d^4-6\,a^5\,b^4\,c^2\,d^3-6\,a^5\,b^4\,d^5+6\,a^4\,b^5\,c^3\,d^2+6\,a^4\,b^5\,c\,d^4-8\,a^3\,b^6\,c^2\,d^3-8\,a^3\,b^6\,d^5-3\,a\,b^8\,c^2\,d^3-3\,a\,b^8\,d^5-b^9\,c^3\,d^2-b^9\,c\,d^4\right)}{f^3}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}+a^6\,c\,f^2-b^6\,c\,f^2+15\,a^2\,b^4\,c\,f^2-15\,a^4\,b^2\,c\,f^2+20\,a^3\,b^3\,d\,f^2-6\,a\,b^5\,d\,f^2-6\,a^5\,b\,d\,f^2}{4\,f^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}+\left(\left(\frac{8\,\left(-12\,a^2\,b\,c^2\,d^2\,f^2-12\,a^2\,b\,d^4\,f^2+4\,b^3\,c^2\,d^2\,f^2+4\,b^3\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^6\,c^2\,d^2+a^6\,d^4+12\,a^5\,b\,c\,d^3+15\,a^4\,b^2\,c^2\,d^2-15\,a^4\,b^2\,d^4-40\,a^3\,b^3\,c\,d^3-15\,a^2\,b^4\,c^2\,d^2+15\,a^2\,b^4\,d^4+12\,a\,b^5\,c\,d^3+b^6\,c^2\,d^2-b^6\,d^4\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}+\frac{16\,\left(a^9\,c^2\,d^3+a^9\,d^5+3\,a^8\,b\,c^3\,d^2+3\,a^8\,b\,c\,d^4+8\,a^6\,b^3\,c^3\,d^2+8\,a^6\,b^3\,c\,d^4-6\,a^5\,b^4\,c^2\,d^3-6\,a^5\,b^4\,d^5+6\,a^4\,b^5\,c^3\,d^2+6\,a^4\,b^5\,c\,d^4-8\,a^3\,b^6\,c^2\,d^3-8\,a^3\,b^6\,d^5-3\,a\,b^8\,c^2\,d^3-3\,a\,b^8\,d^5-b^9\,c^3\,d^2-b^9\,c\,d^4\right)}{f^3}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,c\,a^6\,f^2+48\,d\,a^5\,b\,f^2+120\,c\,a^4\,b^2\,f^2-160\,d\,a^3\,b^3\,f^2-120\,c\,a^2\,b^4\,f^2+48\,d\,a\,b^5\,f^2+8\,c\,b^6\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^2+a^{12}\,d^2+6\,a^{10}\,b^2\,c^2+6\,a^{10}\,b^2\,d^2+15\,a^8\,b^4\,c^2+15\,a^8\,b^4\,d^2+20\,a^6\,b^6\,c^2+20\,a^6\,b^6\,d^2+15\,a^4\,b^8\,c^2+15\,a^4\,b^8\,d^2+6\,a^2\,b^{10}\,c^2+6\,a^2\,b^{10}\,d^2+b^{12}\,c^2+b^{12}\,d^2\right)}-a^6\,c\,f^2+b^6\,c\,f^2-15\,a^2\,b^4\,c\,f^2+15\,a^4\,b^2\,c\,f^2-20\,a^3\,b^3\,d\,f^2+6\,a\,b^5\,d\,f^2+6\,a^5\,b\,d\,f^2}{4\,f^4}}\,2{}\mathrm{i}","Not used",1,"atan(((((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2)*1i - (((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2)*1i)/((((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (16*(a^9*d^5 - 3*a*b^8*d^5 - b^9*c*d^4 - 8*a^3*b^6*d^5 - 6*a^5*b^4*d^5 + a^9*c^2*d^3 - b^9*c^3*d^2 - 3*a*b^8*c^2*d^3 + 6*a^4*b^5*c*d^4 + 8*a^6*b^3*c*d^4 + 3*a^8*b*c^3*d^2 - 8*a^3*b^6*c^2*d^3 + 6*a^4*b^5*c^3*d^2 - 6*a^5*b^4*c^2*d^3 + 8*a^6*b^3*c^3*d^2 + 3*a^8*b*c*d^4))/f^3))*(-(((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) + a^6*c*f^2 - b^6*c*f^2 + 15*a^2*b^4*c*f^2 - 15*a^4*b^2*c*f^2 + 20*a^3*b^3*d*f^2 - 6*a*b^5*d*f^2 - 6*a^5*b*d*f^2)/(4*f^4))^(1/2)*2i + atan(((((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2)*1i - (((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2)*1i)/((((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (((8*(4*b^3*d^4*f^2 - 12*a^2*b*d^4*f^2 + 4*b^3*c^2*d^2*f^2 - 12*a^2*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2))*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^4 - b^6*d^4 + 15*a^2*b^4*d^4 - 15*a^4*b^2*d^4 - a^6*c^2*d^2 + b^6*c^2*d^2 - 40*a^3*b^3*c*d^3 - 15*a^2*b^4*c^2*d^2 + 15*a^4*b^2*c^2*d^2 + 12*a*b^5*c*d^3 + 12*a^5*b*c*d^3))/f^2)*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2) + (16*(a^9*d^5 - 3*a*b^8*d^5 - b^9*c*d^4 - 8*a^3*b^6*d^5 - 6*a^5*b^4*d^5 + a^9*c^2*d^3 - b^9*c^3*d^2 - 3*a*b^8*c^2*d^3 + 6*a^4*b^5*c*d^4 + 8*a^6*b^3*c*d^4 + 3*a^8*b*c^3*d^2 - 8*a^3*b^6*c^2*d^3 + 6*a^4*b^5*c^3*d^2 - 6*a^5*b^4*c^2*d^3 + 8*a^6*b^3*c^3*d^2 + 3*a^8*b*c*d^4))/f^3))*((((8*b^6*c*f^2 - 8*a^6*c*f^2 - 120*a^2*b^4*c*f^2 + 120*a^4*b^2*c*f^2 - 160*a^3*b^3*d*f^2 + 48*a*b^5*d*f^2 + 48*a^5*b*d*f^2)^2/64 - f^4*(a^12*c^2 + a^12*d^2 + b^12*c^2 + b^12*d^2 + 6*a^2*b^10*c^2 + 15*a^4*b^8*c^2 + 20*a^6*b^6*c^2 + 15*a^8*b^4*c^2 + 6*a^10*b^2*c^2 + 6*a^2*b^10*d^2 + 15*a^4*b^8*d^2 + 20*a^6*b^6*d^2 + 15*a^8*b^4*d^2 + 6*a^10*b^2*d^2))^(1/2) - a^6*c*f^2 + b^6*c*f^2 - 15*a^2*b^4*c*f^2 + 15*a^4*b^2*c*f^2 - 20*a^3*b^3*d*f^2 + 6*a*b^5*d*f^2 + 6*a^5*b*d*f^2)/(4*f^4))^(1/2)*2i - ((6*b^3*c - 6*a*b^2*d)/(3*d^2*f) - (4*b^3*c)/(3*d^2*f))*(c + d*tan(e + f*x))^(3/2) - (c + d*tan(e + f*x))^(1/2)*(2*c*((6*b^3*c - 6*a*b^2*d)/(d^2*f) - (4*b^3*c)/(d^2*f)) - (6*b*(a*d - b*c)^2)/(d^2*f) + (2*b^3*(c^2 + d^2))/(d^2*f)) + (2*b^3*(c + d*tan(e + f*x))^(5/2))/(5*d^2*f)","B"
1230,1,3722,157,9.663227,"\text{Not used}","int((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^(1/2),x)","\frac{2\,b^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,d\,f}-\left(\frac{4\,b^2\,c-4\,a\,b\,d}{d\,f}-\frac{4\,b^2\,c}{d\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(a^6\,c^2\,d^3+a^6\,d^5+2\,a^5\,b\,c^3\,d^2+2\,a^5\,b\,c\,d^4+a^4\,b^2\,c^2\,d^3+a^4\,b^2\,d^5+4\,a^3\,b^3\,c^3\,d^2+4\,a^3\,b^3\,c\,d^4-a^2\,b^4\,c^2\,d^3-a^2\,b^4\,d^5+2\,a\,b^5\,c^3\,d^2+2\,a\,b^5\,c\,d^4-b^6\,c^2\,d^3-b^6\,d^5\right)}{f^3}+\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}+\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d-a^4\,d\,1{}\mathrm{i}-b^4\,d\,1{}\mathrm{i}+a^2\,b^2\,d\,6{}\mathrm{i}+a\,b^3\,c\,4{}\mathrm{i}-a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\,1{}\mathrm{i}}{-\frac{16\,\left(a^6\,c^2\,d^3+a^6\,d^5+2\,a^5\,b\,c^3\,d^2+2\,a^5\,b\,c\,d^4+a^4\,b^2\,c^2\,d^3+a^4\,b^2\,d^5+4\,a^3\,b^3\,c^3\,d^2+4\,a^3\,b^3\,c\,d^4-a^2\,b^4\,c^2\,d^3-a^2\,b^4\,d^5+2\,a\,b^5\,c^3\,d^2+2\,a\,b^5\,c\,d^4-b^6\,c^2\,d^3-b^6\,d^5\right)}{f^3}+\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}+\left(\left(\frac{8\,\left(8\,a\,b\,c^2\,d^2\,f^2+8\,a\,b\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^2\,d^2+a^4\,d^4+8\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-6\,a^2\,b^2\,d^4-8\,a\,b^3\,c\,d^3-b^4\,c^2\,d^2+b^4\,d^4\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}}\right)\,\sqrt{-\frac{a^4\,c+b^4\,c-6\,a^2\,b^2\,c+4\,a\,b^3\,d-4\,a^3\,b\,d+a^4\,d\,1{}\mathrm{i}+b^4\,d\,1{}\mathrm{i}-a^2\,b^2\,d\,6{}\mathrm{i}-a\,b^3\,c\,4{}\mathrm{i}+a^3\,b\,c\,4{}\mathrm{i}}{4\,f^2}}\,2{}\mathrm{i}","Not used",1,"(2*b^2*(c + d*tan(e + f*x))^(3/2))/(3*d*f) - atan(((((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)*1i - (((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)*1i)/((((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) - (16*(a^6*d^5 - b^6*d^5 - a^2*b^4*d^5 + a^4*b^2*d^5 + a^6*c^2*d^3 - b^6*c^2*d^3 + 2*a*b^5*c^3*d^2 + 4*a^3*b^3*c*d^4 + 2*a^5*b*c^3*d^2 - a^2*b^4*c^2*d^3 + 4*a^3*b^3*c^3*d^2 + a^4*b^2*c^2*d^3 + 2*a*b^5*c*d^4 + 2*a^5*b*c*d^4))/f^3 + (((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)))*(-(a^4*c - a^4*d*1i + b^4*c - b^4*d*1i - 6*a^2*b^2*c + a^2*b^2*d*6i + a*b^3*c*4i - a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)*2i - atan(((((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)*1i - (((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)*1i)/((((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) - (16*(a^6*d^5 - b^6*d^5 - a^2*b^4*d^5 + a^4*b^2*d^5 + a^6*c^2*d^3 - b^6*c^2*d^3 + 2*a*b^5*c^3*d^2 + 4*a^3*b^3*c*d^4 + 2*a^5*b*c^3*d^2 - a^2*b^4*c^2*d^3 + 4*a^3*b^3*c^3*d^2 + a^4*b^2*c^2*d^3 + 2*a*b^5*c*d^4 + 2*a^5*b*c*d^4))/f^3 + (((8*(8*a*b*d^4*f^2 + 8*a*b*c^2*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2))*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^4 + b^4*d^4 - 6*a^2*b^2*d^4 - a^4*c^2*d^2 - b^4*c^2*d^2 + 6*a^2*b^2*c^2*d^2 - 8*a*b^3*c*d^3 + 8*a^3*b*c*d^3))/f^2)*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)))*(-(a^4*c + a^4*d*1i + b^4*c + b^4*d*1i - 6*a^2*b^2*c - a^2*b^2*d*6i - a*b^3*c*4i + a^3*b*c*4i + 4*a*b^3*d - 4*a^3*b*d)/(4*f^2))^(1/2)*2i - ((4*b^2*c - 4*a*b*d)/(d*f) - (4*b^2*c)/(d*f))*(c + d*tan(e + f*x))^(1/2)","B"
1231,1,845,122,7.648698,"\text{Not used}","int((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{32\,b^2\,d^4\,\sqrt{\frac{b^2\,c}{4\,f^2}-\frac{\sqrt{-b^4\,d^2\,f^4}}{4\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,b\,d^4\,\sqrt{-b^4\,d^2\,f^4}}{f^3}+\frac{16\,b\,c^2\,d^2\,\sqrt{-b^4\,d^2\,f^4}}{f^3}}-\frac{32\,c\,d^2\,\sqrt{\frac{b^2\,c}{4\,f^2}-\frac{\sqrt{-b^4\,d^2\,f^4}}{4\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-b^4\,d^2\,f^4}}{\frac{16\,b\,d^4\,\sqrt{-b^4\,d^2\,f^4}}{f}+\frac{16\,b\,c^2\,d^2\,\sqrt{-b^4\,d^2\,f^4}}{f}}\right)\,\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4}-b^2\,c\,f^2}{4\,f^4}}-2\,\mathrm{atanh}\left(\frac{32\,b^2\,d^4\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4}}{4\,f^4}+\frac{b^2\,c}{4\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,b\,d^4\,\sqrt{-b^4\,d^2\,f^4}}{f^3}+\frac{16\,b\,c^2\,d^2\,\sqrt{-b^4\,d^2\,f^4}}{f^3}}+\frac{32\,c\,d^2\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4}}{4\,f^4}+\frac{b^2\,c}{4\,f^2}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-b^4\,d^2\,f^4}}{\frac{16\,b\,d^4\,\sqrt{-b^4\,d^2\,f^4}}{f}+\frac{16\,b\,c^2\,d^2\,\sqrt{-b^4\,d^2\,f^4}}{f}}\right)\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4}+b^2\,c\,f^2}{4\,f^4}}-\mathrm{atanh}\left(\frac{f^3\,\left(\frac{16\,\left(a^2\,d^4-a^2\,c^2\,d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2}+\frac{16\,c\,d^2\,\left(\sqrt{-a^4\,d^2\,f^4}+a^2\,c\,f^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4}+a^2\,c\,f^2}{f^4}}}{16\,\left(a^3\,c^2\,d^3+a^3\,d^5\right)}\right)\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4}+a^2\,c\,f^2}{f^4}}-\mathrm{atanh}\left(\frac{f^3\,\left(\frac{16\,\left(a^2\,d^4-a^2\,c^2\,d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^2}-\frac{16\,c\,d^2\,\left(\sqrt{-a^4\,d^2\,f^4}-a^2\,c\,f^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4}-a^2\,c\,f^2}{f^4}}}{16\,\left(a^3\,c^2\,d^3+a^3\,d^5\right)}\right)\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4}-a^2\,c\,f^2}{f^4}}+\frac{2\,b\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f}","Not used",1,"2*atanh((32*b^2*d^4*((b^2*c)/(4*f^2) - (-b^4*d^2*f^4)^(1/2)/(4*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*b*d^4*(-b^4*d^2*f^4)^(1/2))/f^3 + (16*b*c^2*d^2*(-b^4*d^2*f^4)^(1/2))/f^3) - (32*c*d^2*((b^2*c)/(4*f^2) - (-b^4*d^2*f^4)^(1/2)/(4*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-b^4*d^2*f^4)^(1/2))/((16*b*d^4*(-b^4*d^2*f^4)^(1/2))/f + (16*b*c^2*d^2*(-b^4*d^2*f^4)^(1/2))/f))*(-((-b^4*d^2*f^4)^(1/2) - b^2*c*f^2)/(4*f^4))^(1/2) - 2*atanh((32*b^2*d^4*((-b^4*d^2*f^4)^(1/2)/(4*f^4) + (b^2*c)/(4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*b*d^4*(-b^4*d^2*f^4)^(1/2))/f^3 + (16*b*c^2*d^2*(-b^4*d^2*f^4)^(1/2))/f^3) + (32*c*d^2*((-b^4*d^2*f^4)^(1/2)/(4*f^4) + (b^2*c)/(4*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-b^4*d^2*f^4)^(1/2))/((16*b*d^4*(-b^4*d^2*f^4)^(1/2))/f + (16*b*c^2*d^2*(-b^4*d^2*f^4)^(1/2))/f))*(((-b^4*d^2*f^4)^(1/2) + b^2*c*f^2)/(4*f^4))^(1/2) - atanh((f^3*((16*(a^2*d^4 - a^2*c^2*d^2)*(c + d*tan(e + f*x))^(1/2))/f^2 + (16*c*d^2*((-a^4*d^2*f^4)^(1/2) + a^2*c*f^2)*(c + d*tan(e + f*x))^(1/2))/f^4)*(-((-a^4*d^2*f^4)^(1/2) + a^2*c*f^2)/f^4)^(1/2))/(16*(a^3*d^5 + a^3*c^2*d^3)))*(-((-a^4*d^2*f^4)^(1/2) + a^2*c*f^2)/f^4)^(1/2) - atanh((f^3*((16*(a^2*d^4 - a^2*c^2*d^2)*(c + d*tan(e + f*x))^(1/2))/f^2 - (16*c*d^2*((-a^4*d^2*f^4)^(1/2) - a^2*c*f^2)*(c + d*tan(e + f*x))^(1/2))/f^4)*(((-a^4*d^2*f^4)^(1/2) - a^2*c*f^2)/f^4)^(1/2))/(16*(a^3*d^5 + a^3*c^2*d^3)))*(((-a^4*d^2*f^4)^(1/2) - a^2*c*f^2)/f^4)^(1/2) + (2*b*(c + d*tan(e + f*x))^(1/2))/f","B"
1232,1,11975,170,9.764100,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x)),x)","\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{64\,\left(-b^4\,c^3\,d^{10}-b^4\,c\,d^{12}+a\,b^3\,c^2\,d^{11}+a\,b^3\,d^{13}\right)}{f^5}}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{64\,\left(-b^4\,c^3\,d^{10}-b^4\,c\,d^{12}+a\,b^3\,c^2\,d^{11}+a\,b^3\,d^{13}\right)}{f^5}}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}+\frac{\left(\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}+\frac{\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}+\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{b^2\,c-a\,b\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2+f\,b^2\right)}\right)}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)\,1{}\mathrm{i}}{f\,a^2+f\,b^2}+\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}-\frac{\left(\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}-\frac{\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}-\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{b^2\,c-a\,b\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2+f\,b^2\right)}\right)}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)\,1{}\mathrm{i}}{f\,a^2+f\,b^2}}{\frac{64\,\left(-b^4\,c^3\,d^{10}-b^4\,c\,d^{12}+a\,b^3\,c^2\,d^{11}+a\,b^3\,d^{13}\right)}{f^5}+\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}+\frac{\left(\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}+\frac{\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}+\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{b^2\,c-a\,b\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2+f\,b^2\right)}\right)}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)}{f\,a^2+f\,b^2}-\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^2\,b^3\,c^2\,d^{10}-2\,a^2\,b^3\,d^{12}-4\,a\,b^4\,c^3\,d^9+4\,a\,b^4\,c\,d^{11}+3\,b^5\,c^4\,d^8+b^5\,d^{12}\right)}{f^4}-\frac{\left(\frac{32\,\left(a^4\,b^2\,c^2\,d^{10}\,f^2+a^4\,b^2\,d^{12}\,f^2-a^2\,b^4\,c^4\,d^8\,f^2+12\,a^2\,b^4\,c^2\,d^{10}\,f^2+13\,a^2\,b^4\,d^{12}\,f^2-16\,a\,b^5\,c^3\,d^9\,f^2-16\,a\,b^5\,c\,d^{11}\,f^2+3\,b^6\,c^4\,d^8\,f^2+3\,b^6\,c^2\,d^{10}\,f^2\right)}{f^5}-\frac{\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^5\,b^2\,c^2\,d^9\,f^2-2\,a^5\,b^2\,d^{11}\,f^2-2\,a^4\,b^3\,c^3\,d^8\,f^2+10\,a^4\,b^3\,c\,d^{10}\,f^2-12\,a^3\,b^4\,c^2\,d^9\,f^2-20\,a^3\,b^4\,d^{11}\,f^2+12\,a^2\,b^5\,c^3\,d^8\,f^2+36\,a^2\,b^5\,c\,d^{10}\,f^2+18\,a\,b^6\,c^2\,d^9\,f^2+14\,a\,b^6\,d^{11}\,f^2-18\,b^7\,c^3\,d^8\,f^2-6\,b^7\,c\,d^{10}\,f^2\right)}{f^4}-\frac{\sqrt{b^2\,c-a\,b\,d}\,\left(\frac{32\,\left(12\,a^5\,b^3\,c^2\,d^9\,f^4+12\,a^5\,b^3\,d^{11}\,f^4-12\,a^4\,b^4\,c^3\,d^8\,f^4-12\,a^4\,b^4\,c\,d^{10}\,f^4+24\,a^3\,b^5\,c^2\,d^9\,f^4+24\,a^3\,b^5\,d^{11}\,f^4-24\,a^2\,b^6\,c^3\,d^8\,f^4-24\,a^2\,b^6\,c\,d^{10}\,f^4+12\,a\,b^7\,c^2\,d^9\,f^4+12\,a\,b^7\,d^{11}\,f^4-12\,b^8\,c^3\,d^8\,f^4-12\,b^8\,c\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{b^2\,c-a\,b\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2+f\,b^2\right)}\right)}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)\,\sqrt{b^2\,c-a\,b\,d}}{f\,a^2+f\,b^2}\right)}{f\,a^2+f\,b^2}}\right)\,\sqrt{b^2\,c-a\,b\,d}\,2{}\mathrm{i}}{f\,a^2+f\,b^2}","Not used",1,"atan(((((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*1i - (((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*1i)/((((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (64*(a*b^3*d^13 - b^4*c*d^12 - b^4*c^3*d^10 + a*b^3*c^2*d^11))/f^5))*(-(c + d*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*2i + atan(((((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*1i - (((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*1i)/((((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (((((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4)*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (64*(a*b^3*d^13 - b^4*c*d^12 - b^4*c^3*d^10 + a*b^3*c^2*d^11))/f^5))*(-(c*1i + d)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*2i - (atan((((b^2*c - a*b*d)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4 + (((32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5 + (((32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4 + ((b^2*c - a*b*d)^(1/2)*((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 + (32*(b^2*c - a*b*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^2*f + b^2*f))))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f))*1i)/(a^2*f + b^2*f) + ((b^2*c - a*b*d)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4 - (((32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5 - (((32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4 - ((b^2*c - a*b*d)^(1/2)*((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 - (32*(b^2*c - a*b*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^2*f + b^2*f))))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f))*1i)/(a^2*f + b^2*f))/((64*(a*b^3*d^13 - b^4*c*d^12 - b^4*c^3*d^10 + a*b^3*c^2*d^11))/f^5 + ((b^2*c - a*b*d)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4 + (((32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5 + (((32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4 + ((b^2*c - a*b*d)^(1/2)*((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 + (32*(b^2*c - a*b*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^2*f + b^2*f))))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f)))/(a^2*f + b^2*f) - ((b^2*c - a*b*d)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^12 - 2*a^2*b^3*d^12 + 3*b^5*c^4*d^8 - 4*a*b^4*c^3*d^9 + 2*a^2*b^3*c^2*d^10 + 4*a*b^4*c*d^11))/f^4 - (((32*(13*a^2*b^4*d^12*f^2 + a^4*b^2*d^12*f^2 + 3*b^6*c^2*d^10*f^2 + 3*b^6*c^4*d^8*f^2 + 12*a^2*b^4*c^2*d^10*f^2 - a^2*b^4*c^4*d^8*f^2 + a^4*b^2*c^2*d^10*f^2 - 16*a*b^5*c*d^11*f^2 - 16*a*b^5*c^3*d^9*f^2))/f^5 - (((32*(c + d*tan(e + f*x))^(1/2)*(14*a*b^6*d^11*f^2 - 6*b^7*c*d^10*f^2 - 20*a^3*b^4*d^11*f^2 - 2*a^5*b^2*d^11*f^2 - 18*b^7*c^3*d^8*f^2 + 12*a^2*b^5*c^3*d^8*f^2 - 12*a^3*b^4*c^2*d^9*f^2 - 2*a^4*b^3*c^3*d^8*f^2 + 2*a^5*b^2*c^2*d^9*f^2 + 18*a*b^6*c^2*d^9*f^2 + 36*a^2*b^5*c*d^10*f^2 + 10*a^4*b^3*c*d^10*f^2))/f^4 - ((b^2*c - a*b*d)^(1/2)*((32*(12*a*b^7*d^11*f^4 - 12*b^8*c*d^10*f^4 + 24*a^3*b^5*d^11*f^4 + 12*a^5*b^3*d^11*f^4 - 12*b^8*c^3*d^8*f^4 - 24*a^2*b^6*c^3*d^8*f^4 + 24*a^3*b^5*c^2*d^9*f^4 - 12*a^4*b^4*c^3*d^8*f^4 + 12*a^5*b^3*c^2*d^9*f^4 + 12*a*b^7*c^2*d^9*f^4 - 24*a^2*b^6*c*d^10*f^4 - 12*a^4*b^4*c*d^10*f^4))/f^5 - (32*(b^2*c - a*b*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^2*f + b^2*f))))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f))*(b^2*c - a*b*d)^(1/2))/(a^2*f + b^2*f)))/(a^2*f + b^2*f)))*(b^2*c - a*b*d)^(1/2)*2i)/(a^2*f + b^2*f)","B"
1233,1,28314,231,11.425156,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x))^2,x)","-\frac{b\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\left(a^2+b^2\right)\,\left(b\,f\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+a\,d\,f-b\,c\,f\right)}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\left(-9\,a^4\,b^3\,c^2\,d^{11}-9\,a^4\,b^3\,d^{13}+24\,a^3\,b^4\,c^3\,d^{10}+24\,a^3\,b^4\,c\,d^{12}-22\,a^2\,b^5\,c^4\,d^9-22\,a^2\,b^5\,c^2\,d^{11}+8\,a\,b^6\,c^5\,d^8+8\,a\,b^6\,c^3\,d^{10}+2\,b^7\,c^4\,d^9+3\,b^7\,c^2\,d^{11}+b^7\,d^{13}\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}}\right)\,\sqrt{-\frac{c+d\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\left(\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\left(-9\,a^4\,b^3\,c^2\,d^{11}-9\,a^4\,b^3\,d^{13}+24\,a^3\,b^4\,c^3\,d^{10}+24\,a^3\,b^4\,c\,d^{12}-22\,a^2\,b^5\,c^4\,d^9-22\,a^2\,b^5\,c^2\,d^{11}+8\,a\,b^6\,c^5\,d^8+8\,a\,b^6\,c^3\,d^{10}+2\,b^7\,c^4\,d^9+3\,b^7\,c^2\,d^{11}+b^7\,d^{13}\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}}\right)\,\sqrt{-\frac{d+c\,1{}\mathrm{i}}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\left(\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)\,1{}\mathrm{i}}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\left(\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)\,1{}\mathrm{i}}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}}{\frac{16\,\left(-9\,a^4\,b^3\,c^2\,d^{11}-9\,a^4\,b^3\,d^{13}+24\,a^3\,b^4\,c^3\,d^{10}+24\,a^3\,b^4\,c\,d^{12}-22\,a^2\,b^5\,c^4\,d^9-22\,a^2\,b^5\,c^2\,d^{11}+8\,a\,b^6\,c^5\,d^8+8\,a\,b^6\,c^3\,d^{10}+2\,b^7\,c^4\,d^9+3\,b^7\,c^2\,d^{11}+b^7\,d^{13}\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\left(\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^6\,b^3\,c^2\,d^{10}-9\,a^6\,b^3\,d^{12}-24\,a^5\,b^4\,c^3\,d^9+60\,a^5\,b^4\,c\,d^{11}+18\,a^4\,b^5\,c^4\,d^8-123\,a^4\,b^5\,c^2\,d^{10}+17\,a^4\,b^5\,d^{12}+96\,a^3\,b^6\,c^3\,d^9-56\,a^3\,b^6\,c\,d^{11}-12\,a^2\,b^7\,c^4\,d^8+63\,a^2\,b^7\,c^2\,d^{10}-3\,a^2\,b^7\,d^{12}-8\,a\,b^8\,c^3\,d^9+12\,a\,b^8\,c\,d^{11}+2\,b^9\,c^4\,d^8+3\,b^9\,c^2\,d^{10}+3\,b^9\,d^{12}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\left(\frac{8\,\left(-4\,a^9\,b^2\,c^2\,d^{10}\,f^2-4\,a^9\,b^2\,d^{12}\,f^2+4\,a^8\,b^3\,c^3\,d^9\,f^2+4\,a^8\,b^3\,c\,d^{11}\,f^2-160\,a^7\,b^4\,c^2\,d^{10}\,f^2-160\,a^7\,b^4\,d^{12}\,f^2+352\,a^6\,b^5\,c^3\,d^9\,f^2+352\,a^6\,b^5\,c\,d^{11}\,f^2-192\,a^5\,b^6\,c^4\,d^8\,f^2-168\,a^5\,b^6\,c^2\,d^{10}\,f^2+24\,a^5\,b^6\,d^{12}\,f^2+72\,a^4\,b^7\,c^3\,d^9\,f^2+72\,a^4\,b^7\,c\,d^{11}\,f^2-128\,a^3\,b^8\,c^4\,d^8\,f^2+128\,a^3\,b^8\,d^{12}\,f^2-256\,a^2\,b^9\,c^3\,d^9\,f^2-256\,a^2\,b^9\,c\,d^{11}\,f^2+64\,a\,b^{10}\,c^4\,d^8\,f^2+12\,a\,b^{10}\,c^2\,d^{10}\,f^2-52\,a\,b^{10}\,d^{12}\,f^2+20\,b^{11}\,c^3\,d^9\,f^2+20\,b^{11}\,c\,d^{11}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{11}\,b^2\,c^2\,d^9\,f^2+4\,a^{11}\,b^2\,d^{11}\,f^2+4\,a^{10}\,b^3\,c^3\,d^8\,f^2-56\,a^{10}\,b^3\,c\,d^{10}\,f^2+100\,a^9\,b^4\,c^2\,d^9\,f^2+84\,a^9\,b^4\,d^{11}\,f^2-68\,a^8\,b^5\,c^3\,d^8\,f^2-296\,a^8\,b^5\,c\,d^{10}\,f^2+184\,a^7\,b^6\,c^2\,d^9\,f^2+40\,a^7\,b^6\,d^{11}\,f^2+8\,a^6\,b^7\,c^3\,d^8\,f^2-304\,a^6\,b^7\,c\,d^{10}\,f^2+168\,a^5\,b^8\,c^2\,d^9\,f^2-88\,a^5\,b^8\,d^{11}\,f^2+216\,a^4\,b^9\,c^3\,d^8\,f^2+48\,a^4\,b^9\,c\,d^{10}\,f^2+204\,a^3\,b^{10}\,c^2\,d^9\,f^2+20\,a^3\,b^{10}\,d^{11}\,f^2+116\,a^2\,b^{11}\,c^3\,d^8\,f^2+104\,a^2\,b^{11}\,c\,d^{10}\,f^2+116\,a\,b^{12}\,c^2\,d^9\,f^2+68\,a\,b^{12}\,d^{11}\,f^2-20\,b^{13}\,c^3\,d^8\,f^2-8\,b^{13}\,c\,d^{10}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{8\,\left(-64\,a^{12}\,b^3\,c^2\,d^9\,f^4-64\,a^{12}\,b^3\,d^{11}\,f^4+64\,a^{11}\,b^4\,c^3\,d^8\,f^4+64\,a^{11}\,b^4\,c\,d^{10}\,f^4-288\,a^{10}\,b^5\,c^2\,d^9\,f^4-288\,a^{10}\,b^5\,d^{11}\,f^4+320\,a^9\,b^6\,c^3\,d^8\,f^4+320\,a^9\,b^6\,c\,d^{10}\,f^4-480\,a^8\,b^7\,c^2\,d^9\,f^4-480\,a^8\,b^7\,d^{11}\,f^4+640\,a^7\,b^8\,c^3\,d^8\,f^4+640\,a^7\,b^8\,c\,d^{10}\,f^4-320\,a^6\,b^9\,c^2\,d^9\,f^4-320\,a^6\,b^9\,d^{11}\,f^4+640\,a^5\,b^{10}\,c^3\,d^8\,f^4+640\,a^5\,b^{10}\,c\,d^{10}\,f^4+320\,a^3\,b^{12}\,c^3\,d^8\,f^4+320\,a^3\,b^{12}\,c\,d^{10}\,f^4+96\,a^2\,b^{13}\,c^2\,d^9\,f^4+96\,a^2\,b^{13}\,d^{11}\,f^4+64\,a\,b^{14}\,c^3\,d^8\,f^4+64\,a\,b^{14}\,c\,d^{10}\,f^4+32\,b^{15}\,c^2\,d^9\,f^4+32\,b^{15}\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}\right)\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)}{2\,\left(d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5\right)}}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-3\,d\,a^2+4\,c\,a\,b+d\,b^2\right)\,1{}\mathrm{i}}{d\,f\,a^5-c\,f\,a^4\,b+2\,d\,f\,a^3\,b^2-2\,c\,f\,a^2\,b^3+d\,f\,a\,b^4-c\,f\,b^5}","Not used",1,"(atan((((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - (((8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + ((-b*(a*d - b*c))^(1/2)*((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(-b*(a*d - b*c))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c)*1i)/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)) + ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + (((8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - ((-b*(a*d - b*c))^(1/2)*((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(-b*(a*d - b*c))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c)*1i)/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))/((16*(b^7*d^13 - 9*a^4*b^3*d^13 + 3*b^7*c^2*d^11 + 2*b^7*c^4*d^9 + 8*a*b^6*c^3*d^10 + 8*a*b^6*c^5*d^8 + 24*a^3*b^4*c*d^12 - 22*a^2*b^5*c^2*d^11 - 22*a^2*b^5*c^4*d^9 + 24*a^3*b^4*c^3*d^10 - 9*a^4*b^3*c^2*d^11))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - (((8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + ((-b*(a*d - b*c))^(1/2)*((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(-b*(a*d - b*c))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)) + ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + (((8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - ((-b*(a*d - b*c))^(1/2)*((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(-b*(a*d - b*c))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f)))*(b^2*d - 3*a^2*d + 4*a*b*c))/(2*(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f))))*(-b*(a*d - b*c))^(1/2)*(b^2*d - 3*a^2*d + 4*a*b*c)*1i)/(a^5*d*f - b^5*c*f - a^4*b*c*f + a*b^4*d*f - 2*a^2*b^3*c*f + 2*a^3*b^2*d*f) - atan(((((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*1i - (((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*1i)/((((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(b^7*d^13 - 9*a^4*b^3*d^13 + 3*b^7*c^2*d^11 + 2*b^7*c^4*d^9 + 8*a*b^6*c^3*d^10 + 8*a*b^6*c^5*d^8 + 24*a^3*b^4*c*d^12 - 22*a^2*b^5*c^2*d^11 - 22*a^2*b^5*c^4*d^9 + 24*a^3*b^4*c^3*d^10 - 9*a^4*b^3*c^2*d^11))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5)))*(-(c*1i + d)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*2i - atan(((((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*1i - (((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*1i)/((((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (((((8*(32*b^15*d^11*f^4 + 96*a^2*b^13*d^11*f^4 - 320*a^6*b^9*d^11*f^4 - 480*a^8*b^7*d^11*f^4 - 288*a^10*b^5*d^11*f^4 - 64*a^12*b^3*d^11*f^4 + 32*b^15*c^2*d^9*f^4 + 96*a^2*b^13*c^2*d^9*f^4 + 320*a^3*b^12*c^3*d^8*f^4 + 640*a^5*b^10*c^3*d^8*f^4 - 320*a^6*b^9*c^2*d^9*f^4 + 640*a^7*b^8*c^3*d^8*f^4 - 480*a^8*b^7*c^2*d^9*f^4 + 320*a^9*b^6*c^3*d^8*f^4 - 288*a^10*b^5*c^2*d^9*f^4 + 64*a^11*b^4*c^3*d^8*f^4 - 64*a^12*b^3*c^2*d^9*f^4 + 64*a*b^14*c*d^10*f^4 + 64*a*b^14*c^3*d^8*f^4 + 320*a^3*b^12*c*d^10*f^4 + 640*a^5*b^10*c*d^10*f^4 + 640*a^7*b^8*c*d^10*f^4 + 320*a^9*b^6*c*d^10*f^4 + 64*a^11*b^4*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(68*a*b^12*d^11*f^2 - 8*b^13*c*d^10*f^2 + 20*a^3*b^10*d^11*f^2 - 88*a^5*b^8*d^11*f^2 + 40*a^7*b^6*d^11*f^2 + 84*a^9*b^4*d^11*f^2 + 4*a^11*b^2*d^11*f^2 - 20*b^13*c^3*d^8*f^2 + 116*a^2*b^11*c^3*d^8*f^2 + 204*a^3*b^10*c^2*d^9*f^2 + 216*a^4*b^9*c^3*d^8*f^2 + 168*a^5*b^8*c^2*d^9*f^2 + 8*a^6*b^7*c^3*d^8*f^2 + 184*a^7*b^6*c^2*d^9*f^2 - 68*a^8*b^5*c^3*d^8*f^2 + 100*a^9*b^4*c^2*d^9*f^2 + 4*a^10*b^3*c^3*d^8*f^2 - 4*a^11*b^2*c^2*d^9*f^2 + 116*a*b^12*c^2*d^9*f^2 + 104*a^2*b^11*c*d^10*f^2 + 48*a^4*b^9*c*d^10*f^2 - 304*a^6*b^7*c*d^10*f^2 - 296*a^8*b^5*c*d^10*f^2 - 56*a^10*b^3*c*d^10*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (8*(20*b^11*c*d^11*f^2 - 52*a*b^10*d^12*f^2 + 128*a^3*b^8*d^12*f^2 + 24*a^5*b^6*d^12*f^2 - 160*a^7*b^4*d^12*f^2 - 4*a^9*b^2*d^12*f^2 + 20*b^11*c^3*d^9*f^2 - 256*a^2*b^9*c^3*d^9*f^2 - 128*a^3*b^8*c^4*d^8*f^2 + 72*a^4*b^7*c^3*d^9*f^2 - 168*a^5*b^6*c^2*d^10*f^2 - 192*a^5*b^6*c^4*d^8*f^2 + 352*a^6*b^5*c^3*d^9*f^2 - 160*a^7*b^4*c^2*d^10*f^2 + 4*a^8*b^3*c^3*d^9*f^2 - 4*a^9*b^2*c^2*d^10*f^2 + 12*a*b^10*c^2*d^10*f^2 + 64*a*b^10*c^4*d^8*f^2 - 256*a^2*b^9*c*d^11*f^2 + 72*a^4*b^7*c*d^11*f^2 + 352*a^6*b^5*c*d^11*f^2 + 4*a^8*b^3*c*d^11*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(3*b^9*d^12 - 3*a^2*b^7*d^12 + 17*a^4*b^5*d^12 - 9*a^6*b^3*d^12 + 3*b^9*c^2*d^10 + 2*b^9*c^4*d^8 - 8*a*b^8*c^3*d^9 - 56*a^3*b^6*c*d^11 + 60*a^5*b^4*c*d^11 + 63*a^2*b^7*c^2*d^10 - 12*a^2*b^7*c^4*d^8 + 96*a^3*b^6*c^3*d^9 - 123*a^4*b^5*c^2*d^10 + 18*a^4*b^5*c^4*d^8 - 24*a^5*b^4*c^3*d^9 + 9*a^6*b^3*c^2*d^10 + 12*a*b^8*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(b^7*d^13 - 9*a^4*b^3*d^13 + 3*b^7*c^2*d^11 + 2*b^7*c^4*d^9 + 8*a*b^6*c^3*d^10 + 8*a*b^6*c^5*d^8 + 24*a^3*b^4*c*d^12 - 22*a^2*b^5*c^2*d^11 - 22*a^2*b^5*c^4*d^9 + 24*a^3*b^4*c^3*d^10 - 9*a^4*b^3*c^2*d^11))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5)))*(-(c + d*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*2i - (b*d*(c + d*tan(e + f*x))^(1/2))/((a^2 + b^2)*(b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f))","B"
1234,1,99939,342,35.522519,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x))^3,x)","-\frac{\frac{b\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^2\,d^2-8\,c\,a\,b\,d+b^2\,d^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{b^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(-7\,a^2\,d^2+8\,c\,a\,b\,d+b^2\,d^2\right)}{4\,\left(d\,a^5-c\,a^4\,b+2\,d\,a^3\,b^2-2\,c\,a^2\,b^3+d\,a\,b^4-c\,b^5\right)}}{a^2\,d^2\,f-\left(2\,b^2\,c\,f-2\,a\,b\,d\,f\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+b^2\,c^2\,f+b^2\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-2\,a\,b\,c\,d\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}}{\frac{-225\,a^9\,b^3\,c^2\,d^{13}-225\,a^9\,b^3\,d^{15}+1425\,a^8\,b^4\,c^3\,d^{12}+1425\,a^8\,b^4\,c\,d^{14}-3640\,a^7\,b^5\,c^4\,d^{11}-3220\,a^7\,b^5\,c^2\,d^{13}+420\,a^7\,b^5\,d^{15}+4680\,a^6\,b^6\,c^5\,d^{10}+2420\,a^6\,b^6\,c^3\,d^{12}-2260\,a^6\,b^6\,c\,d^{14}-3008\,a^5\,b^7\,c^6\,d^9+1688\,a^5\,b^7\,c^4\,d^{11}+4426\,a^5\,b^7\,c^2\,d^{13}-270\,a^5\,b^7\,d^{15}+768\,a^4\,b^8\,c^7\,d^8-3752\,a^4\,b^8\,c^5\,d^{10}-3338\,a^4\,b^8\,c^3\,d^{12}+1182\,a^4\,b^8\,c\,d^{14}+1920\,a^3\,b^9\,c^6\,d^9+216\,a^3\,b^9\,c^4\,d^{11}-1588\,a^3\,b^9\,c^2\,d^{13}+116\,a^3\,b^9\,d^{15}-256\,a^2\,b^{10}\,c^7\,d^8+728\,a^2\,b^{10}\,c^5\,d^{10}+724\,a^2\,b^{10}\,c^3\,d^{12}-260\,a^2\,b^{10}\,c\,d^{14}-192\,a\,b^{11}\,c^6\,d^9+8\,a\,b^{11}\,c^4\,d^{11}+207\,a\,b^{11}\,c^2\,d^{13}+7\,a\,b^{11}\,d^{15}-56\,b^{12}\,c^5\,d^{10}-63\,b^{12}\,c^3\,d^{12}-7\,b^{12}\,c\,d^{14}}{a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\sqrt{-c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}}{2\,\left(f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3\right)}}\right)\,\sqrt{-c-d\,1{}\mathrm{i}}\,1{}\mathrm{i}}{f\,a^3+3{}\mathrm{i}\,f\,a^2\,b-3\,f\,a\,b^2-1{}\mathrm{i}\,f\,b^3}-\frac{\mathrm{atan}\left(-\frac{\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)\,1{}\mathrm{i}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}+\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)\,1{}\mathrm{i}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}}{\frac{-225\,a^9\,b^3\,c^2\,d^{13}-225\,a^9\,b^3\,d^{15}+1425\,a^8\,b^4\,c^3\,d^{12}+1425\,a^8\,b^4\,c\,d^{14}-3640\,a^7\,b^5\,c^4\,d^{11}-3220\,a^7\,b^5\,c^2\,d^{13}+420\,a^7\,b^5\,d^{15}+4680\,a^6\,b^6\,c^5\,d^{10}+2420\,a^6\,b^6\,c^3\,d^{12}-2260\,a^6\,b^6\,c\,d^{14}-3008\,a^5\,b^7\,c^6\,d^9+1688\,a^5\,b^7\,c^4\,d^{11}+4426\,a^5\,b^7\,c^2\,d^{13}-270\,a^5\,b^7\,d^{15}+768\,a^4\,b^8\,c^7\,d^8-3752\,a^4\,b^8\,c^5\,d^{10}-3338\,a^4\,b^8\,c^3\,d^{12}+1182\,a^4\,b^8\,c\,d^{14}+1920\,a^3\,b^9\,c^6\,d^9+216\,a^3\,b^9\,c^4\,d^{11}-1588\,a^3\,b^9\,c^2\,d^{13}+116\,a^3\,b^9\,d^{15}-256\,a^2\,b^{10}\,c^7\,d^8+728\,a^2\,b^{10}\,c^5\,d^{10}+724\,a^2\,b^{10}\,c^3\,d^{12}-260\,a^2\,b^{10}\,c\,d^{14}-192\,a\,b^{11}\,c^6\,d^9+8\,a\,b^{11}\,c^4\,d^{11}+207\,a\,b^{11}\,c^2\,d^{13}+7\,a\,b^{11}\,d^{15}-56\,b^{12}\,c^5\,d^{10}-63\,b^{12}\,c^3\,d^{12}-7\,b^{12}\,c\,d^{14}}{a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5}-\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}+\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\left(\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\sqrt{c-d\,1{}\mathrm{i}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)\,\sqrt{c-d\,1{}\mathrm{i}}}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}\right)}{2\,\left(1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3\right)}}\right)\,\sqrt{c-d\,1{}\mathrm{i}}\,1{}\mathrm{i}}{1{}\mathrm{i}\,f\,a^3+3\,f\,a^2\,b-3{}\mathrm{i}\,f\,a\,b^2-f\,b^3}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}\,1{}\mathrm{i}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}\,1{}\mathrm{i}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}}{\frac{-225\,a^9\,b^3\,c^2\,d^{13}-225\,a^9\,b^3\,d^{15}+1425\,a^8\,b^4\,c^3\,d^{12}+1425\,a^8\,b^4\,c\,d^{14}-3640\,a^7\,b^5\,c^4\,d^{11}-3220\,a^7\,b^5\,c^2\,d^{13}+420\,a^7\,b^5\,d^{15}+4680\,a^6\,b^6\,c^5\,d^{10}+2420\,a^6\,b^6\,c^3\,d^{12}-2260\,a^6\,b^6\,c\,d^{14}-3008\,a^5\,b^7\,c^6\,d^9+1688\,a^5\,b^7\,c^4\,d^{11}+4426\,a^5\,b^7\,c^2\,d^{13}-270\,a^5\,b^7\,d^{15}+768\,a^4\,b^8\,c^7\,d^8-3752\,a^4\,b^8\,c^5\,d^{10}-3338\,a^4\,b^8\,c^3\,d^{12}+1182\,a^4\,b^8\,c\,d^{14}+1920\,a^3\,b^9\,c^6\,d^9+216\,a^3\,b^9\,c^4\,d^{11}-1588\,a^3\,b^9\,c^2\,d^{13}+116\,a^3\,b^9\,d^{15}-256\,a^2\,b^{10}\,c^7\,d^8+728\,a^2\,b^{10}\,c^5\,d^{10}+724\,a^2\,b^{10}\,c^3\,d^{12}-260\,a^2\,b^{10}\,c\,d^{14}-192\,a\,b^{11}\,c^6\,d^9+8\,a\,b^{11}\,c^4\,d^{11}+207\,a\,b^{11}\,c^2\,d^{13}+7\,a\,b^{11}\,d^{15}-56\,b^{12}\,c^5\,d^{10}-63\,b^{12}\,c^3\,d^{12}-7\,b^{12}\,c\,d^{14}}{a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}+\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(225\,a^{12}\,b^3\,c^2\,d^{12}-225\,a^{12}\,b^3\,d^{14}-1200\,a^{11}\,b^4\,c^3\,d^{11}+3000\,a^{11}\,b^4\,c\,d^{13}+2352\,a^{10}\,b^5\,c^4\,d^{10}-13746\,a^{10}\,b^5\,c^2\,d^{12}+1922\,a^{10}\,b^5\,d^{14}-1984\,a^9\,b^6\,c^5\,d^9+29712\,a^9\,b^6\,c^3\,d^{11}-15544\,a^9\,b^6\,c\,d^{13}+608\,a^8\,b^7\,c^6\,d^8-32688\,a^8\,b^7\,c^4\,d^{10}+47871\,a^8\,b^7\,c^2\,d^{12}-3631\,a^8\,b^7\,d^{14}+17664\,a^7\,b^8\,c^5\,d^9-71520\,a^7\,b^8\,c^3\,d^{11}+21360\,a^7\,b^8\,c\,d^{13}-3712\,a^6\,b^9\,c^6\,d^8+55264\,a^6\,b^9\,c^4\,d^{10}-46588\,a^6\,b^9\,c^2\,d^{12}+2460\,a^6\,b^9\,d^{14}-21120\,a^5\,b^{10}\,c^5\,d^9+49824\,a^5\,b^{10}\,c^3\,d^{11}-9264\,a^5\,b^{10}\,c\,d^{13}+3136\,a^4\,b^{11}\,c^6\,d^8-27744\,a^4\,b^{11}\,c^4\,d^{10}+14319\,a^4\,b^{11}\,c^2\,d^{12}+49\,a^4\,b^{11}\,d^{14}+7424\,a^3\,b^{12}\,c^5\,d^9-11504\,a^3\,b^{12}\,c^3\,d^{11}-40\,a^3\,b^{12}\,c\,d^{13}-640\,a^2\,b^{13}\,c^6\,d^8+4848\,a^2\,b^{13}\,c^4\,d^{10}-114\,a^2\,b^{13}\,c^2\,d^{12}+2\,a^2\,b^{13}\,d^{14}-960\,a\,b^{14}\,c^5\,d^9+80\,a\,b^{14}\,c^3\,d^{11}-24\,a\,b^{14}\,c\,d^{13}+96\,b^{15}\,c^6\,d^8+16\,b^{15}\,c^4\,d^{10}+17\,b^{15}\,c^2\,d^{12}-b^{15}\,d^{14}\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{64\,a^{16}\,b^2\,c^2\,d^{12}\,f^2+64\,a^{16}\,b^2\,d^{14}\,f^2-256\,a^{15}\,b^3\,c^3\,d^{11}\,f^2-256\,a^{15}\,b^3\,c\,d^{13}\,f^2+384\,a^{14}\,b^4\,c^4\,d^{10}\,f^2+5268\,a^{14}\,b^4\,c^2\,d^{12}\,f^2+4884\,a^{14}\,b^4\,d^{14}\,f^2-256\,a^{13}\,b^5\,c^5\,d^9\,f^2-24832\,a^{13}\,b^5\,c^3\,d^{11}\,f^2-24576\,a^{13}\,b^5\,c\,d^{13}\,f^2+64\,a^{12}\,b^6\,c^6\,d^8\,f^2+45248\,a^{12}\,b^6\,c^4\,d^{10}\,f^2+36604\,a^{12}\,b^6\,c^2\,d^{12}\,f^2-8580\,a^{12}\,b^6\,d^{14}\,f^2-35840\,a^{11}\,b^7\,c^5\,d^9\,f^2-8192\,a^{11}\,b^7\,c^3\,d^{11}\,f^2+27648\,a^{11}\,b^7\,c\,d^{13}\,f^2+10368\,a^{10}\,b^8\,c^6\,d^8\,f^2-14208\,a^{10}\,b^8\,c^4\,d^{10}\,f^2-35068\,a^{10}\,b^8\,c^2\,d^{12}\,f^2-10492\,a^{10}\,b^8\,d^{14}\,f^2+1792\,a^9\,b^9\,c^5\,d^9\,f^2+62464\,a^9\,b^9\,c^3\,d^{11}\,f^2+60672\,a^9\,b^9\,c\,d^{13}\,f^2+3776\,a^8\,b^{10}\,c^6\,d^8\,f^2-102464\,a^8\,b^{10}\,c^4\,d^{10}\,f^2-87796\,a^8\,b^{10}\,c^2\,d^{12}\,f^2+18444\,a^8\,b^{10}\,d^{14}\,f^2+73728\,a^7\,b^{11}\,c^5\,d^9\,f^2+28416\,a^7\,b^{11}\,c^3\,d^{11}\,f^2-45312\,a^7\,b^{11}\,c\,d^{13}\,f^2-17664\,a^6\,b^{12}\,c^6\,d^8\,f^2+11392\,a^6\,b^{12}\,c^4\,d^{10}\,f^2+38780\,a^6\,b^{12}\,c^2\,d^{12}\,f^2+9724\,a^6\,b^{12}\,d^{14}\,f^2+3328\,a^5\,b^{13}\,c^5\,d^9\,f^2-37120\,a^5\,b^{13}\,c^3\,d^{11}\,f^2-40448\,a^5\,b^{13}\,c\,d^{13}\,f^2-5696\,a^4\,b^{14}\,c^6\,d^8\,f^2+49216\,a^4\,b^{14}\,c^4\,d^{10}\,f^2+48820\,a^4\,b^{14}\,c^2\,d^{12}\,f^2-6092\,a^4\,b^{14}\,d^{14}\,f^2-29696\,a^3\,b^{15}\,c^5\,d^9\,f^2-15872\,a^3\,b^{15}\,c^3\,d^{11}\,f^2+13824\,a^3\,b^{15}\,c\,d^{13}\,f^2+5248\,a^2\,b^{16}\,c^6\,d^8\,f^2-5760\,a^2\,b^{16}\,c^4\,d^{10}\,f^2-11284\,a^2\,b^{16}\,c^2\,d^{12}\,f^2-276\,a^2\,b^{16}\,d^{14}\,f^2+3328\,a\,b^{17}\,c^5\,d^9\,f^2+3584\,a\,b^{17}\,c^3\,d^{11}\,f^2+256\,a\,b^{17}\,c\,d^{13}\,f^2-192\,b^{18}\,c^6\,d^8\,f^2-192\,b^{18}\,c^4\,d^{10}\,f^2+4\,b^{18}\,c^2\,d^{12}\,f^2+4\,b^{18}\,d^{14}\,f^2}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-64\,a^{19}\,b^2\,c^2\,d^{11}\,f^2+64\,a^{19}\,b^2\,d^{13}\,f^2+192\,a^{18}\,b^3\,c^3\,d^{10}\,f^2-1604\,a^{18}\,b^3\,c\,d^{12}\,f^2-192\,a^{17}\,b^4\,c^4\,d^9\,f^2+6528\,a^{17}\,b^4\,c^2\,d^{11}\,f^2+1800\,a^{17}\,b^4\,d^{13}\,f^2+64\,a^{16}\,b^5\,c^5\,d^8\,f^2-11136\,a^{16}\,b^5\,c^3\,d^{10}\,f^2-12956\,a^{16}\,b^5\,c\,d^{12}\,f^2+8704\,a^{15}\,b^6\,c^4\,d^9\,f^2+32256\,a^{15}\,b^6\,c^2\,d^{11}\,f^2+64\,a^{15}\,b^6\,d^{13}\,f^2-2560\,a^{14}\,b^7\,c^5\,d^8\,f^2-36992\,a^{14}\,b^7\,c^3\,d^{10}\,f^2-12496\,a^{14}\,b^7\,c\,d^{12}\,f^2+19712\,a^{13}\,b^8\,c^4\,d^9\,f^2+42752\,a^{13}\,b^8\,c^2\,d^{11}\,f^2-9248\,a^{13}\,b^8\,d^{13}\,f^2-3840\,a^{12}\,b^9\,c^5\,d^8\,f^2-42624\,a^{12}\,b^9\,c^3\,d^{10}\,f^2+29456\,a^{12}\,b^9\,c\,d^{12}\,f^2+6656\,a^{11}\,b^{10}\,c^4\,d^9\,f^2-6272\,a^{11}\,b^{10}\,c^2\,d^{11}\,f^2-5056\,a^{11}\,b^{10}\,d^{13}\,f^2+5632\,a^{10}\,b^{11}\,c^5\,d^8\,f^2-28416\,a^{10}\,b^{11}\,c^3\,d^{10}\,f^2+42696\,a^{10}\,b^{11}\,c\,d^{12}\,f^2+6528\,a^9\,b^{12}\,c^4\,d^9\,f^2-41472\,a^9\,b^{12}\,c^2\,d^{11}\,f^2+14128\,a^9\,b^{12}\,d^{13}\,f^2+8064\,a^8\,b^{13}\,c^5\,d^8\,f^2-26496\,a^8\,b^{13}\,c^3\,d^{10}\,f^2-10056\,a^8\,b^{13}\,c\,d^{12}\,f^2+38400\,a^7\,b^{14}\,c^4\,d^9\,f^2-6144\,a^7\,b^{14}\,c^2\,d^{11}\,f^2+15296\,a^7\,b^{14}\,d^{13}\,f^2-7680\,a^6\,b^{15}\,c^5\,d^8\,f^2-19328\,a^6\,b^{15}\,c^3\,d^{10}\,f^2-31504\,a^6\,b^{15}\,c\,d^{12}\,f^2+35072\,a^5\,b^{16}\,c^4\,d^9\,f^2+18688\,a^5\,b^{16}\,c^2\,d^{11}\,f^2+2528\,a^5\,b^{16}\,d^{13}\,f^2-13056\,a^4\,b^{17}\,c^5\,d^8\,f^2-1920\,a^4\,b^{17}\,c^3\,d^{10}\,f^2-6448\,a^4\,b^{17}\,c\,d^{12}\,f^2+3584\,a^3\,b^{18}\,c^4\,d^9\,f^2+4800\,a^3\,b^{18}\,c^2\,d^{11}\,f^2-1152\,a^3\,b^{18}\,d^{13}\,f^2-3584\,a^2\,b^{19}\,c^5\,d^8\,f^2+2624\,a^2\,b^{19}\,c^3\,d^{10}\,f^2+2908\,a^2\,b^{19}\,c\,d^{12}\,f^2-3776\,a\,b^{20}\,c^4\,d^9\,f^2-1920\,a\,b^{20}\,c^2\,d^{11}\,f^2+8\,a\,b^{20}\,d^{13}\,f^2+576\,b^{21}\,c^5\,d^8\,f^2+256\,b^{21}\,c^3\,d^{10}\,f^2+4\,b^{21}\,c\,d^{12}\,f^2\right)}{a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4}-\frac{\left(\frac{-1280\,a^{21}\,b^3\,c^2\,d^{11}\,f^4-1280\,a^{21}\,b^3\,d^{13}\,f^4+3840\,a^{20}\,b^4\,c^3\,d^{10}\,f^4+3840\,a^{20}\,b^4\,c\,d^{12}\,f^4-3840\,a^{19}\,b^5\,c^4\,d^9\,f^4-12160\,a^{19}\,b^5\,c^2\,d^{11}\,f^4-8320\,a^{19}\,b^5\,d^{13}\,f^4+1280\,a^{18}\,b^6\,c^5\,d^8\,f^4+27520\,a^{18}\,b^6\,c^3\,d^{10}\,f^4+26240\,a^{18}\,b^6\,c\,d^{12}\,f^4-27392\,a^{17}\,b^7\,c^4\,d^9\,f^4-47744\,a^{17}\,b^7\,c^2\,d^{11}\,f^4-20352\,a^{17}\,b^7\,d^{13}\,f^4+9472\,a^{16}\,b^8\,c^5\,d^8\,f^4+81024\,a^{16}\,b^8\,c^3\,d^{10}\,f^4+71552\,a^{16}\,b^8\,c\,d^{12}\,f^4-80896\,a^{15}\,b^9\,c^4\,d^9\,f^4-97792\,a^{15}\,b^9\,c^2\,d^{11}\,f^4-16896\,a^{15}\,b^9\,d^{13}\,f^4+29696\,a^{14}\,b^{10}\,c^5\,d^8\,f^4+118272\,a^{14}\,b^{10}\,c^3\,d^{10}\,f^4+88576\,a^{14}\,b^{10}\,c\,d^{12}\,f^4-121856\,a^{13}\,b^{11}\,c^4\,d^9\,f^4-100352\,a^{13}\,b^{11}\,c^2\,d^{11}\,f^4+21504\,a^{13}\,b^{11}\,d^{13}\,f^4+50176\,a^{12}\,b^{12}\,c^5\,d^8\,f^4+64512\,a^{12}\,b^{12}\,c^3\,d^{10}\,f^4+14336\,a^{12}\,b^{12}\,c\,d^{12}\,f^4-82432\,a^{11}\,b^{13}\,c^4\,d^9\,f^4-12544\,a^{11}\,b^{13}\,c^2\,d^{11}\,f^4+69888\,a^{11}\,b^{13}\,d^{13}\,f^4+46592\,a^{10}\,b^{14}\,c^5\,d^8\,f^4-59136\,a^{10}\,b^{14}\,c^3\,d^{10}\,f^4-105728\,a^{10}\,b^{14}\,c\,d^{12}\,f^4+17920\,a^9\,b^{15}\,c^4\,d^9\,f^4+98560\,a^9\,b^{15}\,c^2\,d^{11}\,f^4+80640\,a^9\,b^{15}\,d^{13}\,f^4+17920\,a^8\,b^{16}\,c^5\,d^8\,f^4-134400\,a^8\,b^{16}\,c^3\,d^{10}\,f^4-152320\,a^8\,b^{16}\,c\,d^{12}\,f^4+78848\,a^7\,b^{17}\,c^4\,d^9\,f^4+129536\,a^7\,b^{17}\,c^2\,d^{11}\,f^4+50688\,a^7\,b^{17}\,d^{13}\,f^4-7168\,a^6\,b^{18}\,c^5\,d^8\,f^4-109056\,a^6\,b^{18}\,c^3\,d^{10}\,f^4-101888\,a^6\,b^{18}\,c\,d^{12}\,f^4+62464\,a^5\,b^{19}\,c^4\,d^9\,f^4+80128\,a^5\,b^{19}\,c^2\,d^{11}\,f^4+17664\,a^5\,b^{19}\,d^{13}\,f^4-11264\,a^4\,b^{20}\,c^5\,d^8\,f^4-46848\,a^4\,b^{20}\,c^3\,d^{10}\,f^4-35584\,a^4\,b^{20}\,c\,d^{12}\,f^4+22784\,a^3\,b^{21}\,c^4\,d^9\,f^4+25728\,a^3\,b^{21}\,c^2\,d^{11}\,f^4+2944\,a^3\,b^{21}\,d^{13}\,f^4-4864\,a^2\,b^{22}\,c^5\,d^8\,f^4-10368\,a^2\,b^{22}\,c^3\,d^{10}\,f^4-5504\,a^2\,b^{22}\,c\,d^{12}\,f^4+3328\,a\,b^{23}\,c^4\,d^9\,f^4+3456\,a\,b^{23}\,c^2\,d^{11}\,f^4+128\,a\,b^{23}\,d^{13}\,f^4-768\,b^{24}\,c^5\,d^8\,f^4-896\,b^{24}\,c^3\,d^{10}\,f^4-128\,b^{24}\,c\,d^{12}\,f^4}{2\,\left(a^{18}\,d^2\,f^5-2\,a^{17}\,b\,c\,d\,f^5+a^{16}\,b^2\,c^2\,f^5+8\,a^{16}\,b^2\,d^2\,f^5-16\,a^{15}\,b^3\,c\,d\,f^5+8\,a^{14}\,b^4\,c^2\,f^5+28\,a^{14}\,b^4\,d^2\,f^5-56\,a^{13}\,b^5\,c\,d\,f^5+28\,a^{12}\,b^6\,c^2\,f^5+56\,a^{12}\,b^6\,d^2\,f^5-112\,a^{11}\,b^7\,c\,d\,f^5+56\,a^{10}\,b^8\,c^2\,f^5+70\,a^{10}\,b^8\,d^2\,f^5-140\,a^9\,b^9\,c\,d\,f^5+70\,a^8\,b^{10}\,c^2\,f^5+56\,a^8\,b^{10}\,d^2\,f^5-112\,a^7\,b^{11}\,c\,d\,f^5+56\,a^6\,b^{12}\,c^2\,f^5+28\,a^6\,b^{12}\,d^2\,f^5-56\,a^5\,b^{13}\,c\,d\,f^5+28\,a^4\,b^{14}\,c^2\,f^5+8\,a^4\,b^{14}\,d^2\,f^5-16\,a^3\,b^{15}\,c\,d\,f^5+8\,a^2\,b^{16}\,c^2\,f^5+a^2\,b^{16}\,d^2\,f^5-2\,a\,b^{17}\,c\,d\,f^5+b^{18}\,c^2\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}\,\left(256\,a^{25}\,b^2\,c\,d^{11}\,f^4-768\,a^{24}\,b^3\,c^2\,d^{10}\,f^4-512\,a^{24}\,b^3\,d^{12}\,f^4+768\,a^{23}\,b^4\,c^3\,d^9\,f^4+3840\,a^{23}\,b^4\,c\,d^{11}\,f^4-256\,a^{22}\,b^5\,c^4\,d^8\,f^4-7936\,a^{22}\,b^5\,c^2\,d^{10}\,f^4-4608\,a^{22}\,b^5\,d^{12}\,f^4+6400\,a^{21}\,b^6\,c^3\,d^9\,f^4+23296\,a^{21}\,b^6\,c\,d^{11}\,f^4-1792\,a^{20}\,b^7\,c^4\,d^8\,f^4-36608\,a^{20}\,b^7\,c^2\,d^{10}\,f^4-17920\,a^{20}\,b^7\,d^{12}\,f^4+21760\,a^{19}\,b^8\,c^3\,d^9\,f^4+78080\,a^{19}\,b^8\,c\,d^{11}\,f^4-3840\,a^{18}\,b^9\,c^4\,d^8\,f^4-98560\,a^{18}\,b^9\,c^2\,d^{10}\,f^4-38400\,a^{18}\,b^9\,d^{12}\,f^4+34560\,a^{17}\,b^{10}\,c^3\,d^9\,f^4+161280\,a^{17}\,b^{10}\,c\,d^{11}\,f^4+3840\,a^{16}\,b^{11}\,c^4\,d^8\,f^4-168960\,a^{16}\,b^{11}\,c^2\,d^{10}\,f^4-46080\,a^{16}\,b^{11}\,d^{12}\,f^4+7680\,a^{15}\,b^{12}\,c^3\,d^9\,f^4+210432\,a^{15}\,b^{12}\,c\,d^{11}\,f^4+38400\,a^{14}\,b^{13}\,c^4\,d^8\,f^4-185856\,a^{14}\,b^{13}\,c^2\,d^{10}\,f^4-21504\,a^{14}\,b^{13}\,d^{12}\,f^4-75264\,a^{13}\,b^{14}\,c^3\,d^9\,f^4+161280\,a^{13}\,b^{14}\,c\,d^{11}\,f^4+96768\,a^{12}\,b^{15}\,c^4\,d^8\,f^4-118272\,a^{12}\,b^{15}\,c^2\,d^{10}\,f^4+21504\,a^{12}\,b^{15}\,d^{12}\,f^4-161280\,a^{11}\,b^{16}\,c^3\,d^9\,f^4+41472\,a^{11}\,b^{16}\,c\,d^{11}\,f^4+139776\,a^{10}\,b^{17}\,c^4\,d^8\,f^4-16896\,a^{10}\,b^{17}\,c^2\,d^{10}\,f^4+46080\,a^{10}\,b^{17}\,d^{12}\,f^4-176640\,a^9\,b^{18}\,c^3\,d^9\,f^4-49920\,a^9\,b^{18}\,c\,d^{11}\,f^4+130560\,a^8\,b^{19}\,c^4\,d^8\,f^4+42240\,a^8\,b^{19}\,c^2\,d^{10}\,f^4+38400\,a^8\,b^{19}\,d^{12}\,f^4-119040\,a^7\,b^{20}\,c^3\,d^9\,f^4-62720\,a^7\,b^{20}\,c\,d^{11}\,f^4+80640\,a^6\,b^{21}\,c^4\,d^8\,f^4+42240\,a^6\,b^{21}\,c^2\,d^{10}\,f^4+17920\,a^6\,b^{21}\,d^{12}\,f^4-49920\,a^5\,b^{22}\,c^3\,d^9\,f^4-33024\,a^5\,b^{22}\,c\,d^{11}\,f^4+32000\,a^4\,b^{23}\,c^4\,d^8\,f^4+19712\,a^4\,b^{23}\,c^2\,d^{10}\,f^4+4608\,a^4\,b^{23}\,d^{12}\,f^4-12032\,a^3\,b^{24}\,c^3\,d^9\,f^4-8960\,a^3\,b^{24}\,c\,d^{11}\,f^4+7424\,a^2\,b^{25}\,c^4\,d^8\,f^4+4864\,a^2\,b^{25}\,c^2\,d^{10}\,f^4+512\,a^2\,b^{25}\,d^{12}\,f^4-1280\,a\,b^{26}\,c^3\,d^9\,f^4-1024\,a\,b^{26}\,c\,d^{11}\,f^4+768\,b^{27}\,c^4\,d^8\,f^4+512\,b^{27}\,c^2\,d^{10}\,f^4\right)}{2\,\left(a^{18}\,d^2\,f^4-2\,a^{17}\,b\,c\,d\,f^4+a^{16}\,b^2\,c^2\,f^4+8\,a^{16}\,b^2\,d^2\,f^4-16\,a^{15}\,b^3\,c\,d\,f^4+8\,a^{14}\,b^4\,c^2\,f^4+28\,a^{14}\,b^4\,d^2\,f^4-56\,a^{13}\,b^5\,c\,d\,f^4+28\,a^{12}\,b^6\,c^2\,f^4+56\,a^{12}\,b^6\,d^2\,f^4-112\,a^{11}\,b^7\,c\,d\,f^4+56\,a^{10}\,b^8\,c^2\,f^4+70\,a^{10}\,b^8\,d^2\,f^4-140\,a^9\,b^9\,c\,d\,f^4+70\,a^8\,b^{10}\,c^2\,f^4+56\,a^8\,b^{10}\,d^2\,f^4-112\,a^7\,b^{11}\,c\,d\,f^4+56\,a^6\,b^{12}\,c^2\,f^4+28\,a^6\,b^{12}\,d^2\,f^4-56\,a^5\,b^{13}\,c\,d\,f^4+28\,a^4\,b^{14}\,c^2\,f^4+8\,a^4\,b^{14}\,d^2\,f^4-16\,a^3\,b^{15}\,c\,d\,f^4+8\,a^2\,b^{16}\,c^2\,f^4+a^2\,b^{16}\,d^2\,f^4-2\,a\,b^{17}\,c\,d\,f^4+b^{18}\,c^2\,f^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}}{2\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}}\right)\,\sqrt{-\frac{\left(225\,a^8\,b\,d^4-1200\,a^7\,b^2\,c\,d^3+2320\,a^6\,b^3\,c^2\,d^2-540\,a^6\,b^3\,d^4-1920\,a^5\,b^4\,c^3\,d+2160\,a^5\,b^4\,c\,d^3+576\,a^4\,b^5\,c^4-3024\,a^4\,b^5\,c^2\,d^2+294\,a^4\,b^5\,d^4+1792\,a^3\,b^6\,c^3\,d-784\,a^3\,b^6\,c\,d^3-384\,a^2\,b^7\,c^4+816\,a^2\,b^7\,c^2\,d^2+36\,a^2\,b^7\,d^4-384\,a\,b^8\,c^3\,d-48\,a\,b^8\,c\,d^3+64\,b^9\,c^4+16\,b^9\,c^2\,d^2+b^9\,d^4\right)\,\left(a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2\right)}{16}}\,1{}\mathrm{i}}{a^{15}\,d^3\,f^2-3\,a^{14}\,b\,c\,d^2\,f^2+3\,a^{13}\,b^2\,c^2\,d\,f^2+6\,a^{13}\,b^2\,d^3\,f^2-a^{12}\,b^3\,c^3\,f^2-18\,a^{12}\,b^3\,c\,d^2\,f^2+18\,a^{11}\,b^4\,c^2\,d\,f^2+15\,a^{11}\,b^4\,d^3\,f^2-6\,a^{10}\,b^5\,c^3\,f^2-45\,a^{10}\,b^5\,c\,d^2\,f^2+45\,a^9\,b^6\,c^2\,d\,f^2+20\,a^9\,b^6\,d^3\,f^2-15\,a^8\,b^7\,c^3\,f^2-60\,a^8\,b^7\,c\,d^2\,f^2+60\,a^7\,b^8\,c^2\,d\,f^2+15\,a^7\,b^8\,d^3\,f^2-20\,a^6\,b^9\,c^3\,f^2-45\,a^6\,b^9\,c\,d^2\,f^2+45\,a^5\,b^{10}\,c^2\,d\,f^2+6\,a^5\,b^{10}\,d^3\,f^2-15\,a^4\,b^{11}\,c^3\,f^2-18\,a^4\,b^{11}\,c\,d^2\,f^2+18\,a^3\,b^{12}\,c^2\,d\,f^2+a^3\,b^{12}\,d^3\,f^2-6\,a^2\,b^{13}\,c^3\,f^2-3\,a^2\,b^{13}\,c\,d^2\,f^2+3\,a\,b^{14}\,c^2\,d\,f^2-b^{15}\,c^3\,f^2}","Not used",1,"(atan((((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + ((- c - d*1i)^(1/2)*((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((- c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4))))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2)*1i)/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)) + ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - ((- c - d*1i)^(1/2)*((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((- c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4))))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2)*1i)/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))/((7*a*b^11*d^15 - 7*b^12*c*d^14 + 116*a^3*b^9*d^15 - 270*a^5*b^7*d^15 + 420*a^7*b^5*d^15 - 225*a^9*b^3*d^15 - 63*b^12*c^3*d^12 - 56*b^12*c^5*d^10 + 207*a*b^11*c^2*d^13 + 8*a*b^11*c^4*d^11 - 192*a*b^11*c^6*d^9 - 260*a^2*b^10*c*d^14 + 1182*a^4*b^8*c*d^14 - 2260*a^6*b^6*c*d^14 + 1425*a^8*b^4*c*d^14 + 724*a^2*b^10*c^3*d^12 + 728*a^2*b^10*c^5*d^10 - 256*a^2*b^10*c^7*d^8 - 1588*a^3*b^9*c^2*d^13 + 216*a^3*b^9*c^4*d^11 + 1920*a^3*b^9*c^6*d^9 - 3338*a^4*b^8*c^3*d^12 - 3752*a^4*b^8*c^5*d^10 + 768*a^4*b^8*c^7*d^8 + 4426*a^5*b^7*c^2*d^13 + 1688*a^5*b^7*c^4*d^11 - 3008*a^5*b^7*c^6*d^9 + 2420*a^6*b^6*c^3*d^12 + 4680*a^6*b^6*c^5*d^10 - 3220*a^7*b^5*c^2*d^13 - 3640*a^7*b^5*c^4*d^11 + 1425*a^8*b^4*c^3*d^12 - 225*a^9*b^3*c^2*d^13)/(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5) - ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + ((- c - d*1i)^(1/2)*((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((- c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4))))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)) + ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - ((- c - d*1i)^(1/2)*((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((- c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4))))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i)))*(- c - d*1i)^(1/2))/(2*(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i))))*(- c - d*1i)^(1/2)*1i)/(a^3*f - b^3*f*1i - 3*a*b^2*f + a^2*b*f*3i) - ((b*(c + d*tan(e + f*x))^(1/2)*(9*a^2*d^2 + b^2*d^2 - 8*a*b*c*d))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (b^2*(c + d*tan(e + f*x))^(3/2)*(b^2*d^2 - 7*a^2*d^2 + 8*a*b*c*d))/(4*(a^5*d - b^5*c - 2*a^2*b^3*c + 2*a^3*b^2*d - a^4*b*c + a*b^4*d)))/(a^2*d^2*f - (2*b^2*c*f - 2*a*b*d*f)*(c + d*tan(e + f*x)) + b^2*c^2*f + b^2*f*(c + d*tan(e + f*x))^2 - 2*a*b*c*d*f) - (atan(-(((c - d*1i)^(1/2)*(((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) + ((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*1i)/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) + ((c - d*1i)^(1/2)*(((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) - ((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*1i)/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))/((7*a*b^11*d^15 - 7*b^12*c*d^14 + 116*a^3*b^9*d^15 - 270*a^5*b^7*d^15 + 420*a^7*b^5*d^15 - 225*a^9*b^3*d^15 - 63*b^12*c^3*d^12 - 56*b^12*c^5*d^10 + 207*a*b^11*c^2*d^13 + 8*a*b^11*c^4*d^11 - 192*a*b^11*c^6*d^9 - 260*a^2*b^10*c*d^14 + 1182*a^4*b^8*c*d^14 - 2260*a^6*b^6*c*d^14 + 1425*a^8*b^4*c*d^14 + 724*a^2*b^10*c^3*d^12 + 728*a^2*b^10*c^5*d^10 - 256*a^2*b^10*c^7*d^8 - 1588*a^3*b^9*c^2*d^13 + 216*a^3*b^9*c^4*d^11 + 1920*a^3*b^9*c^6*d^9 - 3338*a^4*b^8*c^3*d^12 - 3752*a^4*b^8*c^5*d^10 + 768*a^4*b^8*c^7*d^8 + 4426*a^5*b^7*c^2*d^13 + 1688*a^5*b^7*c^4*d^11 - 3008*a^5*b^7*c^6*d^9 + 2420*a^6*b^6*c^3*d^12 + 4680*a^6*b^6*c^5*d^10 - 3220*a^7*b^5*c^2*d^13 - 3640*a^7*b^5*c^4*d^11 + 1425*a^8*b^4*c^3*d^12 - 225*a^9*b^3*c^2*d^13)/(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5) - ((c - d*1i)^(1/2)*(((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) + ((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f))))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) + ((c - d*1i)^(1/2)*(((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c - d*1i)^(1/2)*((((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((c - d*1i)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)) - ((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f)))*(c - d*1i)^(1/2))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f))))/(2*(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f))))*(c - d*1i)^(1/2)*1i)/(a^3*f*1i - b^3*f - a*b^2*f*3i + 3*a^2*b*f) + (atan((((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*1i)/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)) + ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*1i)/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))/((7*a*b^11*d^15 - 7*b^12*c*d^14 + 116*a^3*b^9*d^15 - 270*a^5*b^7*d^15 + 420*a^7*b^5*d^15 - 225*a^9*b^3*d^15 - 63*b^12*c^3*d^12 - 56*b^12*c^5*d^10 + 207*a*b^11*c^2*d^13 + 8*a*b^11*c^4*d^11 - 192*a*b^11*c^6*d^9 - 260*a^2*b^10*c*d^14 + 1182*a^4*b^8*c*d^14 - 2260*a^6*b^6*c*d^14 + 1425*a^8*b^4*c*d^14 + 724*a^2*b^10*c^3*d^12 + 728*a^2*b^10*c^5*d^10 - 256*a^2*b^10*c^7*d^8 - 1588*a^3*b^9*c^2*d^13 + 216*a^3*b^9*c^4*d^11 + 1920*a^3*b^9*c^6*d^9 - 3338*a^4*b^8*c^3*d^12 - 3752*a^4*b^8*c^5*d^10 + 768*a^4*b^8*c^7*d^8 + 4426*a^5*b^7*c^2*d^13 + 1688*a^5*b^7*c^4*d^11 - 3008*a^5*b^7*c^6*d^9 + 2420*a^6*b^6*c^3*d^12 + 4680*a^6*b^6*c^5*d^10 - 3220*a^7*b^5*c^2*d^13 - 3640*a^7*b^5*c^4*d^11 + 1425*a^8*b^4*c^3*d^12 - 225*a^9*b^3*c^2*d^13)/(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5) - ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) + (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)) + ((((c + d*tan(e + f*x))^(1/2)*(2*a^2*b^13*d^14 - b^15*d^14 + 49*a^4*b^11*d^14 + 2460*a^6*b^9*d^14 - 3631*a^8*b^7*d^14 + 1922*a^10*b^5*d^14 - 225*a^12*b^3*d^14 + 17*b^15*c^2*d^12 + 16*b^15*c^4*d^10 + 96*b^15*c^6*d^8 + 80*a*b^14*c^3*d^11 - 960*a*b^14*c^5*d^9 - 40*a^3*b^12*c*d^13 - 9264*a^5*b^10*c*d^13 + 21360*a^7*b^8*c*d^13 - 15544*a^9*b^6*c*d^13 + 3000*a^11*b^4*c*d^13 - 114*a^2*b^13*c^2*d^12 + 4848*a^2*b^13*c^4*d^10 - 640*a^2*b^13*c^6*d^8 - 11504*a^3*b^12*c^3*d^11 + 7424*a^3*b^12*c^5*d^9 + 14319*a^4*b^11*c^2*d^12 - 27744*a^4*b^11*c^4*d^10 + 3136*a^4*b^11*c^6*d^8 + 49824*a^5*b^10*c^3*d^11 - 21120*a^5*b^10*c^5*d^9 - 46588*a^6*b^9*c^2*d^12 + 55264*a^6*b^9*c^4*d^10 - 3712*a^6*b^9*c^6*d^8 - 71520*a^7*b^8*c^3*d^11 + 17664*a^7*b^8*c^5*d^9 + 47871*a^8*b^7*c^2*d^12 - 32688*a^8*b^7*c^4*d^10 + 608*a^8*b^7*c^6*d^8 + 29712*a^9*b^6*c^3*d^11 - 1984*a^9*b^6*c^5*d^9 - 13746*a^10*b^5*c^2*d^12 + 2352*a^10*b^5*c^4*d^10 - 1200*a^11*b^4*c^3*d^11 + 225*a^12*b^3*c^2*d^12 - 24*a*b^14*c*d^13))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((4*b^18*d^14*f^2 - 276*a^2*b^16*d^14*f^2 - 6092*a^4*b^14*d^14*f^2 + 9724*a^6*b^12*d^14*f^2 + 18444*a^8*b^10*d^14*f^2 - 10492*a^10*b^8*d^14*f^2 - 8580*a^12*b^6*d^14*f^2 + 4884*a^14*b^4*d^14*f^2 + 64*a^16*b^2*d^14*f^2 + 4*b^18*c^2*d^12*f^2 - 192*b^18*c^4*d^10*f^2 - 192*b^18*c^6*d^8*f^2 - 11284*a^2*b^16*c^2*d^12*f^2 - 5760*a^2*b^16*c^4*d^10*f^2 + 5248*a^2*b^16*c^6*d^8*f^2 - 15872*a^3*b^15*c^3*d^11*f^2 - 29696*a^3*b^15*c^5*d^9*f^2 + 48820*a^4*b^14*c^2*d^12*f^2 + 49216*a^4*b^14*c^4*d^10*f^2 - 5696*a^4*b^14*c^6*d^8*f^2 - 37120*a^5*b^13*c^3*d^11*f^2 + 3328*a^5*b^13*c^5*d^9*f^2 + 38780*a^6*b^12*c^2*d^12*f^2 + 11392*a^6*b^12*c^4*d^10*f^2 - 17664*a^6*b^12*c^6*d^8*f^2 + 28416*a^7*b^11*c^3*d^11*f^2 + 73728*a^7*b^11*c^5*d^9*f^2 - 87796*a^8*b^10*c^2*d^12*f^2 - 102464*a^8*b^10*c^4*d^10*f^2 + 3776*a^8*b^10*c^6*d^8*f^2 + 62464*a^9*b^9*c^3*d^11*f^2 + 1792*a^9*b^9*c^5*d^9*f^2 - 35068*a^10*b^8*c^2*d^12*f^2 - 14208*a^10*b^8*c^4*d^10*f^2 + 10368*a^10*b^8*c^6*d^8*f^2 - 8192*a^11*b^7*c^3*d^11*f^2 - 35840*a^11*b^7*c^5*d^9*f^2 + 36604*a^12*b^6*c^2*d^12*f^2 + 45248*a^12*b^6*c^4*d^10*f^2 + 64*a^12*b^6*c^6*d^8*f^2 - 24832*a^13*b^5*c^3*d^11*f^2 - 256*a^13*b^5*c^5*d^9*f^2 + 5268*a^14*b^4*c^2*d^12*f^2 + 384*a^14*b^4*c^4*d^10*f^2 - 256*a^15*b^3*c^3*d^11*f^2 + 64*a^16*b^2*c^2*d^12*f^2 + 256*a*b^17*c*d^13*f^2 + 3584*a*b^17*c^3*d^11*f^2 + 3328*a*b^17*c^5*d^9*f^2 + 13824*a^3*b^15*c*d^13*f^2 - 40448*a^5*b^13*c*d^13*f^2 - 45312*a^7*b^11*c*d^13*f^2 + 60672*a^9*b^9*c*d^13*f^2 + 27648*a^11*b^7*c*d^13*f^2 - 24576*a^13*b^5*c*d^13*f^2 - 256*a^15*b^3*c*d^13*f^2)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(8*a*b^20*d^13*f^2 + 4*b^21*c*d^12*f^2 - 1152*a^3*b^18*d^13*f^2 + 2528*a^5*b^16*d^13*f^2 + 15296*a^7*b^14*d^13*f^2 + 14128*a^9*b^12*d^13*f^2 - 5056*a^11*b^10*d^13*f^2 - 9248*a^13*b^8*d^13*f^2 + 64*a^15*b^6*d^13*f^2 + 1800*a^17*b^4*d^13*f^2 + 64*a^19*b^2*d^13*f^2 + 256*b^21*c^3*d^10*f^2 + 576*b^21*c^5*d^8*f^2 + 2624*a^2*b^19*c^3*d^10*f^2 - 3584*a^2*b^19*c^5*d^8*f^2 + 4800*a^3*b^18*c^2*d^11*f^2 + 3584*a^3*b^18*c^4*d^9*f^2 - 1920*a^4*b^17*c^3*d^10*f^2 - 13056*a^4*b^17*c^5*d^8*f^2 + 18688*a^5*b^16*c^2*d^11*f^2 + 35072*a^5*b^16*c^4*d^9*f^2 - 19328*a^6*b^15*c^3*d^10*f^2 - 7680*a^6*b^15*c^5*d^8*f^2 - 6144*a^7*b^14*c^2*d^11*f^2 + 38400*a^7*b^14*c^4*d^9*f^2 - 26496*a^8*b^13*c^3*d^10*f^2 + 8064*a^8*b^13*c^5*d^8*f^2 - 41472*a^9*b^12*c^2*d^11*f^2 + 6528*a^9*b^12*c^4*d^9*f^2 - 28416*a^10*b^11*c^3*d^10*f^2 + 5632*a^10*b^11*c^5*d^8*f^2 - 6272*a^11*b^10*c^2*d^11*f^2 + 6656*a^11*b^10*c^4*d^9*f^2 - 42624*a^12*b^9*c^3*d^10*f^2 - 3840*a^12*b^9*c^5*d^8*f^2 + 42752*a^13*b^8*c^2*d^11*f^2 + 19712*a^13*b^8*c^4*d^9*f^2 - 36992*a^14*b^7*c^3*d^10*f^2 - 2560*a^14*b^7*c^5*d^8*f^2 + 32256*a^15*b^6*c^2*d^11*f^2 + 8704*a^15*b^6*c^4*d^9*f^2 - 11136*a^16*b^5*c^3*d^10*f^2 + 64*a^16*b^5*c^5*d^8*f^2 + 6528*a^17*b^4*c^2*d^11*f^2 - 192*a^17*b^4*c^4*d^9*f^2 + 192*a^18*b^3*c^3*d^10*f^2 - 64*a^19*b^2*c^2*d^11*f^2 - 1920*a*b^20*c^2*d^11*f^2 - 3776*a*b^20*c^4*d^9*f^2 + 2908*a^2*b^19*c*d^12*f^2 - 6448*a^4*b^17*c*d^12*f^2 - 31504*a^6*b^15*c*d^12*f^2 - 10056*a^8*b^13*c*d^12*f^2 + 42696*a^10*b^11*c*d^12*f^2 + 29456*a^12*b^9*c*d^12*f^2 - 12496*a^14*b^7*c*d^12*f^2 - 12956*a^16*b^5*c*d^12*f^2 - 1604*a^18*b^3*c*d^12*f^2))/(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4) - (((128*a*b^23*d^13*f^4 - 128*b^24*c*d^12*f^4 + 2944*a^3*b^21*d^13*f^4 + 17664*a^5*b^19*d^13*f^4 + 50688*a^7*b^17*d^13*f^4 + 80640*a^9*b^15*d^13*f^4 + 69888*a^11*b^13*d^13*f^4 + 21504*a^13*b^11*d^13*f^4 - 16896*a^15*b^9*d^13*f^4 - 20352*a^17*b^7*d^13*f^4 - 8320*a^19*b^5*d^13*f^4 - 1280*a^21*b^3*d^13*f^4 - 896*b^24*c^3*d^10*f^4 - 768*b^24*c^5*d^8*f^4 - 10368*a^2*b^22*c^3*d^10*f^4 - 4864*a^2*b^22*c^5*d^8*f^4 + 25728*a^3*b^21*c^2*d^11*f^4 + 22784*a^3*b^21*c^4*d^9*f^4 - 46848*a^4*b^20*c^3*d^10*f^4 - 11264*a^4*b^20*c^5*d^8*f^4 + 80128*a^5*b^19*c^2*d^11*f^4 + 62464*a^5*b^19*c^4*d^9*f^4 - 109056*a^6*b^18*c^3*d^10*f^4 - 7168*a^6*b^18*c^5*d^8*f^4 + 129536*a^7*b^17*c^2*d^11*f^4 + 78848*a^7*b^17*c^4*d^9*f^4 - 134400*a^8*b^16*c^3*d^10*f^4 + 17920*a^8*b^16*c^5*d^8*f^4 + 98560*a^9*b^15*c^2*d^11*f^4 + 17920*a^9*b^15*c^4*d^9*f^4 - 59136*a^10*b^14*c^3*d^10*f^4 + 46592*a^10*b^14*c^5*d^8*f^4 - 12544*a^11*b^13*c^2*d^11*f^4 - 82432*a^11*b^13*c^4*d^9*f^4 + 64512*a^12*b^12*c^3*d^10*f^4 + 50176*a^12*b^12*c^5*d^8*f^4 - 100352*a^13*b^11*c^2*d^11*f^4 - 121856*a^13*b^11*c^4*d^9*f^4 + 118272*a^14*b^10*c^3*d^10*f^4 + 29696*a^14*b^10*c^5*d^8*f^4 - 97792*a^15*b^9*c^2*d^11*f^4 - 80896*a^15*b^9*c^4*d^9*f^4 + 81024*a^16*b^8*c^3*d^10*f^4 + 9472*a^16*b^8*c^5*d^8*f^4 - 47744*a^17*b^7*c^2*d^11*f^4 - 27392*a^17*b^7*c^4*d^9*f^4 + 27520*a^18*b^6*c^3*d^10*f^4 + 1280*a^18*b^6*c^5*d^8*f^4 - 12160*a^19*b^5*c^2*d^11*f^4 - 3840*a^19*b^5*c^4*d^9*f^4 + 3840*a^20*b^4*c^3*d^10*f^4 - 1280*a^21*b^3*c^2*d^11*f^4 + 3456*a*b^23*c^2*d^11*f^4 + 3328*a*b^23*c^4*d^9*f^4 - 5504*a^2*b^22*c*d^12*f^4 - 35584*a^4*b^20*c*d^12*f^4 - 101888*a^6*b^18*c*d^12*f^4 - 152320*a^8*b^16*c*d^12*f^4 - 105728*a^10*b^14*c*d^12*f^4 + 14336*a^12*b^12*c*d^12*f^4 + 88576*a^14*b^10*c*d^12*f^4 + 71552*a^16*b^8*c*d^12*f^4 + 26240*a^18*b^6*c*d^12*f^4 + 3840*a^20*b^4*c*d^12*f^4)/(2*(a^18*d^2*f^5 + b^18*c^2*f^5 + 8*a^2*b^16*c^2*f^5 + 28*a^4*b^14*c^2*f^5 + 56*a^6*b^12*c^2*f^5 + 70*a^8*b^10*c^2*f^5 + 56*a^10*b^8*c^2*f^5 + 28*a^12*b^6*c^2*f^5 + 8*a^14*b^4*c^2*f^5 + a^16*b^2*c^2*f^5 + a^2*b^16*d^2*f^5 + 8*a^4*b^14*d^2*f^5 + 28*a^6*b^12*d^2*f^5 + 56*a^8*b^10*d^2*f^5 + 70*a^10*b^8*d^2*f^5 + 56*a^12*b^6*d^2*f^5 + 28*a^14*b^4*d^2*f^5 + 8*a^16*b^2*d^2*f^5 - 2*a*b^17*c*d*f^5 - 2*a^17*b*c*d*f^5 - 16*a^3*b^15*c*d*f^5 - 56*a^5*b^13*c*d*f^5 - 112*a^7*b^11*c*d*f^5 - 140*a^9*b^9*c*d*f^5 - 112*a^11*b^7*c*d*f^5 - 56*a^13*b^5*c*d*f^5 - 16*a^15*b^3*c*d*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*(512*a^2*b^25*d^12*f^4 + 4608*a^4*b^23*d^12*f^4 + 17920*a^6*b^21*d^12*f^4 + 38400*a^8*b^19*d^12*f^4 + 46080*a^10*b^17*d^12*f^4 + 21504*a^12*b^15*d^12*f^4 - 21504*a^14*b^13*d^12*f^4 - 46080*a^16*b^11*d^12*f^4 - 38400*a^18*b^9*d^12*f^4 - 17920*a^20*b^7*d^12*f^4 - 4608*a^22*b^5*d^12*f^4 - 512*a^24*b^3*d^12*f^4 + 512*b^27*c^2*d^10*f^4 + 768*b^27*c^4*d^8*f^4 + 4864*a^2*b^25*c^2*d^10*f^4 + 7424*a^2*b^25*c^4*d^8*f^4 - 12032*a^3*b^24*c^3*d^9*f^4 + 19712*a^4*b^23*c^2*d^10*f^4 + 32000*a^4*b^23*c^4*d^8*f^4 - 49920*a^5*b^22*c^3*d^9*f^4 + 42240*a^6*b^21*c^2*d^10*f^4 + 80640*a^6*b^21*c^4*d^8*f^4 - 119040*a^7*b^20*c^3*d^9*f^4 + 42240*a^8*b^19*c^2*d^10*f^4 + 130560*a^8*b^19*c^4*d^8*f^4 - 176640*a^9*b^18*c^3*d^9*f^4 - 16896*a^10*b^17*c^2*d^10*f^4 + 139776*a^10*b^17*c^4*d^8*f^4 - 161280*a^11*b^16*c^3*d^9*f^4 - 118272*a^12*b^15*c^2*d^10*f^4 + 96768*a^12*b^15*c^4*d^8*f^4 - 75264*a^13*b^14*c^3*d^9*f^4 - 185856*a^14*b^13*c^2*d^10*f^4 + 38400*a^14*b^13*c^4*d^8*f^4 + 7680*a^15*b^12*c^3*d^9*f^4 - 168960*a^16*b^11*c^2*d^10*f^4 + 3840*a^16*b^11*c^4*d^8*f^4 + 34560*a^17*b^10*c^3*d^9*f^4 - 98560*a^18*b^9*c^2*d^10*f^4 - 3840*a^18*b^9*c^4*d^8*f^4 + 21760*a^19*b^8*c^3*d^9*f^4 - 36608*a^20*b^7*c^2*d^10*f^4 - 1792*a^20*b^7*c^4*d^8*f^4 + 6400*a^21*b^6*c^3*d^9*f^4 - 7936*a^22*b^5*c^2*d^10*f^4 - 256*a^22*b^5*c^4*d^8*f^4 + 768*a^23*b^4*c^3*d^9*f^4 - 768*a^24*b^3*c^2*d^10*f^4 - 1024*a*b^26*c*d^11*f^4 - 1280*a*b^26*c^3*d^9*f^4 - 8960*a^3*b^24*c*d^11*f^4 - 33024*a^5*b^22*c*d^11*f^4 - 62720*a^7*b^20*c*d^11*f^4 - 49920*a^9*b^18*c*d^11*f^4 + 41472*a^11*b^16*c*d^11*f^4 + 161280*a^13*b^14*c*d^11*f^4 + 210432*a^15*b^12*c*d^11*f^4 + 161280*a^17*b^10*c*d^11*f^4 + 78080*a^19*b^8*c*d^11*f^4 + 23296*a^21*b^6*c*d^11*f^4 + 3840*a^23*b^4*c*d^11*f^4 + 256*a^25*b^2*c*d^11*f^4))/(2*(a^18*d^2*f^4 + b^18*c^2*f^4 + 8*a^2*b^16*c^2*f^4 + 28*a^4*b^14*c^2*f^4 + 56*a^6*b^12*c^2*f^4 + 70*a^8*b^10*c^2*f^4 + 56*a^10*b^8*c^2*f^4 + 28*a^12*b^6*c^2*f^4 + 8*a^14*b^4*c^2*f^4 + a^16*b^2*c^2*f^4 + a^2*b^16*d^2*f^4 + 8*a^4*b^14*d^2*f^4 + 28*a^6*b^12*d^2*f^4 + 56*a^8*b^10*d^2*f^4 + 70*a^10*b^8*d^2*f^4 + 56*a^12*b^6*d^2*f^4 + 28*a^14*b^4*d^2*f^4 + 8*a^16*b^2*d^2*f^4 - 2*a*b^17*c*d*f^4 - 2*a^17*b*c*d*f^4 - 16*a^3*b^15*c*d*f^4 - 56*a^5*b^13*c*d*f^4 - 112*a^7*b^11*c*d*f^4 - 140*a^9*b^9*c*d*f^4 - 112*a^11*b^7*c*d*f^4 - 56*a^13*b^5*c*d*f^4 - 16*a^15*b^3*c*d*f^4)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2))/(2*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))))*(-((64*b^9*c^4 + b^9*d^4 + 225*a^8*b*d^4 - 384*a^2*b^7*c^4 + 576*a^4*b^5*c^4 + 36*a^2*b^7*d^4 + 294*a^4*b^5*d^4 - 540*a^6*b^3*d^4 + 16*b^9*c^2*d^2 - 784*a^3*b^6*c*d^3 + 1792*a^3*b^6*c^3*d + 2160*a^5*b^4*c*d^3 - 1920*a^5*b^4*c^3*d - 1200*a^7*b^2*c*d^3 + 816*a^2*b^7*c^2*d^2 - 3024*a^4*b^5*c^2*d^2 + 2320*a^6*b^3*c^2*d^2 - 48*a*b^8*c*d^3 - 384*a*b^8*c^3*d)*(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2))/16)^(1/2)*1i)/(a^15*d^3*f^2 - b^15*c^3*f^2 - 6*a^2*b^13*c^3*f^2 - 15*a^4*b^11*c^3*f^2 - 20*a^6*b^9*c^3*f^2 - 15*a^8*b^7*c^3*f^2 - 6*a^10*b^5*c^3*f^2 - a^12*b^3*c^3*f^2 + a^3*b^12*d^3*f^2 + 6*a^5*b^10*d^3*f^2 + 15*a^7*b^8*d^3*f^2 + 20*a^9*b^6*d^3*f^2 + 15*a^11*b^4*d^3*f^2 + 6*a^13*b^2*d^3*f^2 + 3*a*b^14*c^2*d*f^2 - 3*a^14*b*c*d^2*f^2 - 3*a^2*b^13*c*d^2*f^2 + 18*a^3*b^12*c^2*d*f^2 - 18*a^4*b^11*c*d^2*f^2 + 45*a^5*b^10*c^2*d*f^2 - 45*a^6*b^9*c*d^2*f^2 + 60*a^7*b^8*c^2*d*f^2 - 60*a^8*b^7*c*d^2*f^2 + 45*a^9*b^6*c^2*d*f^2 - 45*a^10*b^5*c*d^2*f^2 + 18*a^11*b^4*c^2*d*f^2 - 18*a^12*b^3*c*d^2*f^2 + 3*a^13*b^2*c^2*d*f^2)","B"
1235,1,22352,256,79.384188,"\text{Not used}","int((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x))^(3/2),x)","\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(\left(\frac{6\,b^3\,c-6\,a\,b^2\,d}{d^2\,f}-\frac{4\,b^3\,c}{d^2\,f}\right)\,\left(c^2+d^2\right)-2\,c\,\left(2\,c\,\left(\frac{6\,b^3\,c-6\,a\,b^2\,d}{d^2\,f}-\frac{4\,b^3\,c}{d^2\,f}\right)-\frac{6\,b\,{\left(a\,d-b\,c\right)}^2}{d^2\,f}+\frac{2\,b^3\,\left(c^2+d^2\right)}{d^2\,f}\right)+\frac{2\,{\left(a\,d-b\,c\right)}^3}{d^2\,f}\right)-\left(\frac{6\,b^3\,c-6\,a\,b^2\,d}{5\,d^2\,f}-\frac{4\,b^3\,c}{5\,d^2\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}-{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(\frac{2\,c\,\left(\frac{6\,b^3\,c-6\,a\,b^2\,d}{d^2\,f}-\frac{4\,b^3\,c}{d^2\,f}\right)}{3}-\frac{2\,b\,{\left(a\,d-b\,c\right)}^2}{d^2\,f}+\frac{2\,b^3\,\left(c^2+d^2\right)}{3\,d^2\,f}\right)+\frac{2\,b^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d^2\,f}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\left(-2\,a^9\,c^5\,d^3-4\,a^9\,c^3\,d^5-2\,a^9\,c\,d^7-3\,a^8\,b\,c^6\,d^2-3\,a^8\,b\,c^4\,d^4+3\,a^8\,b\,c^2\,d^6+3\,a^8\,b\,d^8-8\,a^6\,b^3\,c^6\,d^2-8\,a^6\,b^3\,c^4\,d^4+8\,a^6\,b^3\,c^2\,d^6+8\,a^6\,b^3\,d^8+12\,a^5\,b^4\,c^5\,d^3+24\,a^5\,b^4\,c^3\,d^5+12\,a^5\,b^4\,c\,d^7-6\,a^4\,b^5\,c^6\,d^2-6\,a^4\,b^5\,c^4\,d^4+6\,a^4\,b^5\,c^2\,d^6+6\,a^4\,b^5\,d^8+16\,a^3\,b^6\,c^5\,d^3+32\,a^3\,b^6\,c^3\,d^5+16\,a^3\,b^6\,c\,d^7+6\,a\,b^8\,c^5\,d^3+12\,a\,b^8\,c^3\,d^5+6\,a\,b^8\,c\,d^7+b^9\,c^6\,d^2+b^9\,c^4\,d^4-b^9\,c^2\,d^6-b^9\,d^8\right)}{f^3}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}+a^6\,c^3\,f^2-b^6\,c^3\,f^2+6\,a\,b^5\,d^3\,f^2+6\,a^5\,b\,d^3\,f^2-3\,a^6\,c\,d^2\,f^2+3\,b^6\,c\,d^2\,f^2+15\,a^2\,b^4\,c^3\,f^2-15\,a^4\,b^2\,c^3\,f^2-20\,a^3\,b^3\,d^3\,f^2-18\,a\,b^5\,c^2\,d\,f^2-18\,a^5\,b\,c^2\,d\,f^2-45\,a^2\,b^4\,c\,d^2\,f^2+60\,a^3\,b^3\,c^2\,d\,f^2+45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\left(\left(\frac{8\,\left(4\,a^3\,c^2\,d^3\,f^2+4\,a^3\,d^5\,f^2+12\,a^2\,b\,c^3\,d^2\,f^2+12\,a^2\,b\,c\,d^4\,f^2-12\,a\,b^2\,c^2\,d^3\,f^2-12\,a\,b^2\,d^5\,f^2-4\,b^3\,c^3\,d^2\,f^2-4\,b^3\,c\,d^4\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,c^4\,d^2-6\,a^6\,c^2\,d^4+a^6\,d^6-24\,a^5\,b\,c^3\,d^3+24\,a^5\,b\,c\,d^5-15\,a^4\,b^2\,c^4\,d^2+90\,a^4\,b^2\,c^2\,d^4-15\,a^4\,b^2\,d^6+80\,a^3\,b^3\,c^3\,d^3-80\,a^3\,b^3\,c\,d^5+15\,a^2\,b^4\,c^4\,d^2-90\,a^2\,b^4\,c^2\,d^4+15\,a^2\,b^4\,d^6-24\,a\,b^5\,c^3\,d^3+24\,a\,b^5\,c\,d^5-b^6\,c^4\,d^2+6\,b^6\,c^2\,d^4-b^6\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\left(-2\,a^9\,c^5\,d^3-4\,a^9\,c^3\,d^5-2\,a^9\,c\,d^7-3\,a^8\,b\,c^6\,d^2-3\,a^8\,b\,c^4\,d^4+3\,a^8\,b\,c^2\,d^6+3\,a^8\,b\,d^8-8\,a^6\,b^3\,c^6\,d^2-8\,a^6\,b^3\,c^4\,d^4+8\,a^6\,b^3\,c^2\,d^6+8\,a^6\,b^3\,d^8+12\,a^5\,b^4\,c^5\,d^3+24\,a^5\,b^4\,c^3\,d^5+12\,a^5\,b^4\,c\,d^7-6\,a^4\,b^5\,c^6\,d^2-6\,a^4\,b^5\,c^4\,d^4+6\,a^4\,b^5\,c^2\,d^6+6\,a^4\,b^5\,d^8+16\,a^3\,b^6\,c^5\,d^3+32\,a^3\,b^6\,c^3\,d^5+16\,a^3\,b^6\,c\,d^7+6\,a\,b^8\,c^5\,d^3+12\,a\,b^8\,c^3\,d^5+6\,a\,b^8\,c\,d^7+b^9\,c^6\,d^2+b^9\,c^4\,d^4-b^9\,c^2\,d^6-b^9\,d^8\right)}{f^3}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2-144\,a^5\,b\,c^2\,d\,f^2+48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2+480\,a^3\,b^3\,c^2\,d\,f^2-160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2-144\,a\,b^5\,c^2\,d\,f^2+48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^{12}\,c^6+3\,a^{12}\,c^4\,d^2+3\,a^{12}\,c^2\,d^4+a^{12}\,d^6+6\,a^{10}\,b^2\,c^6+18\,a^{10}\,b^2\,c^4\,d^2+18\,a^{10}\,b^2\,c^2\,d^4+6\,a^{10}\,b^2\,d^6+15\,a^8\,b^4\,c^6+45\,a^8\,b^4\,c^4\,d^2+45\,a^8\,b^4\,c^2\,d^4+15\,a^8\,b^4\,d^6+20\,a^6\,b^6\,c^6+60\,a^6\,b^6\,c^4\,d^2+60\,a^6\,b^6\,c^2\,d^4+20\,a^6\,b^6\,d^6+15\,a^4\,b^8\,c^6+45\,a^4\,b^8\,c^4\,d^2+45\,a^4\,b^8\,c^2\,d^4+15\,a^4\,b^8\,d^6+6\,a^2\,b^{10}\,c^6+18\,a^2\,b^{10}\,c^4\,d^2+18\,a^2\,b^{10}\,c^2\,d^4+6\,a^2\,b^{10}\,d^6+b^{12}\,c^6+3\,b^{12}\,c^4\,d^2+3\,b^{12}\,c^2\,d^4+b^{12}\,d^6\right)}-a^6\,c^3\,f^2+b^6\,c^3\,f^2-6\,a\,b^5\,d^3\,f^2-6\,a^5\,b\,d^3\,f^2+3\,a^6\,c\,d^2\,f^2-3\,b^6\,c\,d^2\,f^2-15\,a^2\,b^4\,c^3\,f^2+15\,a^4\,b^2\,c^3\,f^2+20\,a^3\,b^3\,d^3\,f^2+18\,a\,b^5\,c^2\,d\,f^2+18\,a^5\,b\,c^2\,d\,f^2+45\,a^2\,b^4\,c\,d^2\,f^2-60\,a^3\,b^3\,c^2\,d\,f^2-45\,a^4\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,2{}\mathrm{i}","Not used",1,"(c + d*tan(e + f*x))^(1/2)*(((6*b^3*c - 6*a*b^2*d)/(d^2*f) - (4*b^3*c)/(d^2*f))*(c^2 + d^2) - 2*c*(2*c*((6*b^3*c - 6*a*b^2*d)/(d^2*f) - (4*b^3*c)/(d^2*f)) - (6*b*(a*d - b*c)^2)/(d^2*f) + (2*b^3*(c^2 + d^2))/(d^2*f)) + (2*(a*d - b*c)^3)/(d^2*f)) - atan(((((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i - (((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i)/((((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(3*a^8*b*d^8 - b^9*d^8 - 2*a^9*c*d^7 + 6*a^4*b^5*d^8 + 8*a^6*b^3*d^8 - 4*a^9*c^3*d^5 - 2*a^9*c^5*d^3 - b^9*c^2*d^6 + b^9*c^4*d^4 + b^9*c^6*d^2 + 12*a*b^8*c^3*d^5 + 6*a*b^8*c^5*d^3 + 16*a^3*b^6*c*d^7 + 12*a^5*b^4*c*d^7 + 3*a^8*b*c^2*d^6 - 3*a^8*b*c^4*d^4 - 3*a^8*b*c^6*d^2 + 32*a^3*b^6*c^3*d^5 + 16*a^3*b^6*c^5*d^3 + 6*a^4*b^5*c^2*d^6 - 6*a^4*b^5*c^4*d^4 - 6*a^4*b^5*c^6*d^2 + 24*a^5*b^4*c^3*d^5 + 12*a^5*b^4*c^5*d^3 + 8*a^6*b^3*c^2*d^6 - 8*a^6*b^3*c^4*d^4 - 8*a^6*b^3*c^6*d^2 + 6*a*b^8*c*d^7))/f^3))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) + a^6*c^3*f^2 - b^6*c^3*f^2 + 6*a*b^5*d^3*f^2 + 6*a^5*b*d^3*f^2 - 3*a^6*c*d^2*f^2 + 3*b^6*c*d^2*f^2 + 15*a^2*b^4*c^3*f^2 - 15*a^4*b^2*c^3*f^2 - 20*a^3*b^3*d^3*f^2 - 18*a*b^5*c^2*d*f^2 - 18*a^5*b*c^2*d*f^2 - 45*a^2*b^4*c*d^2*f^2 + 60*a^3*b^3*c^2*d*f^2 + 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*2i - atan(((((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i - (((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i)/((((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (((8*(4*a^3*d^5*f^2 - 12*a*b^2*d^5*f^2 - 4*b^3*c*d^4*f^2 + 4*a^3*c^2*d^3*f^2 - 4*b^3*c^3*d^2*f^2 + 12*a^2*b*c*d^4*f^2 - 12*a*b^2*c^2*d^3*f^2 + 12*a^2*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^6 - b^6*d^6 + 15*a^2*b^4*d^6 - 15*a^4*b^2*d^6 - 6*a^6*c^2*d^4 + a^6*c^4*d^2 + 6*b^6*c^2*d^4 - b^6*c^4*d^2 - 24*a*b^5*c^3*d^3 - 80*a^3*b^3*c*d^5 - 24*a^5*b*c^3*d^3 - 90*a^2*b^4*c^2*d^4 + 15*a^2*b^4*c^4*d^2 + 80*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 15*a^4*b^2*c^4*d^2 + 24*a*b^5*c*d^5 + 24*a^5*b*c*d^5))/f^2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(3*a^8*b*d^8 - b^9*d^8 - 2*a^9*c*d^7 + 6*a^4*b^5*d^8 + 8*a^6*b^3*d^8 - 4*a^9*c^3*d^5 - 2*a^9*c^5*d^3 - b^9*c^2*d^6 + b^9*c^4*d^4 + b^9*c^6*d^2 + 12*a*b^8*c^3*d^5 + 6*a*b^8*c^5*d^3 + 16*a^3*b^6*c*d^7 + 12*a^5*b^4*c*d^7 + 3*a^8*b*c^2*d^6 - 3*a^8*b*c^4*d^4 - 3*a^8*b*c^6*d^2 + 32*a^3*b^6*c^3*d^5 + 16*a^3*b^6*c^5*d^3 + 6*a^4*b^5*c^2*d^6 - 6*a^4*b^5*c^4*d^4 - 6*a^4*b^5*c^6*d^2 + 24*a^5*b^4*c^3*d^5 + 12*a^5*b^4*c^5*d^3 + 8*a^6*b^3*c^2*d^6 - 8*a^6*b^3*c^4*d^4 - 8*a^6*b^3*c^6*d^2 + 6*a*b^8*c*d^7))/f^3))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 + 48*a*b^5*d^3*f^2 + 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 - 160*a^3*b^3*d^3*f^2 - 144*a*b^5*c^2*d*f^2 - 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 + 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/64 - f^4*(a^12*c^6 + a^12*d^6 + b^12*c^6 + b^12*d^6 + 6*a^2*b^10*c^6 + 15*a^4*b^8*c^6 + 20*a^6*b^6*c^6 + 15*a^8*b^4*c^6 + 6*a^10*b^2*c^6 + 6*a^2*b^10*d^6 + 15*a^4*b^8*d^6 + 20*a^6*b^6*d^6 + 15*a^8*b^4*d^6 + 6*a^10*b^2*d^6 + 3*a^12*c^2*d^4 + 3*a^12*c^4*d^2 + 3*b^12*c^2*d^4 + 3*b^12*c^4*d^2 + 18*a^2*b^10*c^2*d^4 + 18*a^2*b^10*c^4*d^2 + 45*a^4*b^8*c^2*d^4 + 45*a^4*b^8*c^4*d^2 + 60*a^6*b^6*c^2*d^4 + 60*a^6*b^6*c^4*d^2 + 45*a^8*b^4*c^2*d^4 + 45*a^8*b^4*c^4*d^2 + 18*a^10*b^2*c^2*d^4 + 18*a^10*b^2*c^4*d^2))^(1/2) - a^6*c^3*f^2 + b^6*c^3*f^2 - 6*a*b^5*d^3*f^2 - 6*a^5*b*d^3*f^2 + 3*a^6*c*d^2*f^2 - 3*b^6*c*d^2*f^2 - 15*a^2*b^4*c^3*f^2 + 15*a^4*b^2*c^3*f^2 + 20*a^3*b^3*d^3*f^2 + 18*a*b^5*c^2*d*f^2 + 18*a^5*b*c^2*d*f^2 + 45*a^2*b^4*c*d^2*f^2 - 60*a^3*b^3*c^2*d*f^2 - 45*a^4*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*2i - ((6*b^3*c - 6*a*b^2*d)/(5*d^2*f) - (4*b^3*c)/(5*d^2*f))*(c + d*tan(e + f*x))^(5/2) - (c + d*tan(e + f*x))^(3/2)*((2*c*((6*b^3*c - 6*a*b^2*d)/(d^2*f) - (4*b^3*c)/(d^2*f)))/3 - (2*b*(a*d - b*c)^2)/(d^2*f) + (2*b^3*(c^2 + d^2))/(3*d^2*f)) + (2*b^3*(c + d*tan(e + f*x))^(7/2))/(7*d^2*f)","B"
1236,1,15671,195,21.863159,"\text{Not used}","int((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^(3/2),x)","\frac{2\,b^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d\,f}-\left(\frac{4\,b^2\,c-4\,a\,b\,d}{3\,d\,f}-\frac{4\,b^2\,c}{3\,d\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c\,\left(\frac{4\,b^2\,c-4\,a\,b\,d}{d\,f}-\frac{4\,b^2\,c}{d\,f}\right)-\frac{2\,{\left(a\,d-b\,c\right)}^2}{d\,f}+\frac{2\,b^2\,\left(c^2+d^2\right)}{d\,f}\right)-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{32\,\left(-a^6\,c^5\,d^3-2\,a^6\,c^3\,d^5-a^6\,c\,d^7-a^5\,b\,c^6\,d^2-a^5\,b\,c^4\,d^4+a^5\,b\,c^2\,d^6+a^5\,b\,d^8-a^4\,b^2\,c^5\,d^3-2\,a^4\,b^2\,c^3\,d^5-a^4\,b^2\,c\,d^7-2\,a^3\,b^3\,c^6\,d^2-2\,a^3\,b^3\,c^4\,d^4+2\,a^3\,b^3\,c^2\,d^6+2\,a^3\,b^3\,d^8+a^2\,b^4\,c^5\,d^3+2\,a^2\,b^4\,c^3\,d^5+a^2\,b^4\,c\,d^7-a\,b^5\,c^6\,d^2-a\,b^5\,c^4\,d^4+a\,b^5\,c^2\,d^6+a\,b^5\,d^8+b^6\,c^5\,d^3+2\,b^6\,c^3\,d^5+b^6\,c\,d^7\right)}{f^3}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}+a^4\,c^3\,f^2+b^4\,c^3\,f^2-4\,a\,b^3\,d^3\,f^2+4\,a^3\,b\,d^3\,f^2-3\,a^4\,c\,d^2\,f^2-3\,b^4\,c\,d^2\,f^2-6\,a^2\,b^2\,c^3\,f^2+12\,a\,b^3\,c^2\,d\,f^2-12\,a^3\,b\,c^2\,d\,f^2+18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\left(\left(\frac{16\,\left(2\,a^2\,c^2\,d^3\,f^2+2\,a^2\,d^5\,f^2+4\,a\,b\,c^3\,d^2\,f^2+4\,a\,b\,c\,d^4\,f^2-2\,b^2\,c^2\,d^3\,f^2-2\,b^2\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,c^4\,d^2-6\,a^4\,c^2\,d^4+a^4\,d^6-16\,a^3\,b\,c^3\,d^3+16\,a^3\,b\,c\,d^5-6\,a^2\,b^2\,c^4\,d^2+36\,a^2\,b^2\,c^2\,d^4-6\,a^2\,b^2\,d^6+16\,a\,b^3\,c^3\,d^3-16\,a\,b^3\,c\,d^5+b^4\,c^4\,d^2-6\,b^4\,c^2\,d^4+b^4\,d^6\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\frac{32\,\left(-a^6\,c^5\,d^3-2\,a^6\,c^3\,d^5-a^6\,c\,d^7-a^5\,b\,c^6\,d^2-a^5\,b\,c^4\,d^4+a^5\,b\,c^2\,d^6+a^5\,b\,d^8-a^4\,b^2\,c^5\,d^3-2\,a^4\,b^2\,c^3\,d^5-a^4\,b^2\,c\,d^7-2\,a^3\,b^3\,c^6\,d^2-2\,a^3\,b^3\,c^4\,d^4+2\,a^3\,b^3\,c^2\,d^6+2\,a^3\,b^3\,d^8+a^2\,b^4\,c^5\,d^3+2\,a^2\,b^4\,c^3\,d^5+a^2\,b^4\,c\,d^7-a\,b^5\,c^6\,d^2-a\,b^5\,c^4\,d^4+a\,b^5\,c^2\,d^6+a\,b^5\,d^8+b^6\,c^5\,d^3+2\,b^6\,c^3\,d^5+b^6\,c\,d^7\right)}{f^3}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^3\,f^2-24\,a^4\,c\,d^2\,f^2-96\,a^3\,b\,c^2\,d\,f^2+32\,a^3\,b\,d^3\,f^2-48\,a^2\,b^2\,c^3\,f^2+144\,a^2\,b^2\,c\,d^2\,f^2+96\,a\,b^3\,c^2\,d\,f^2-32\,a\,b^3\,d^3\,f^2+8\,b^4\,c^3\,f^2-24\,b^4\,c\,d^2\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^6+3\,a^8\,c^4\,d^2+3\,a^8\,c^2\,d^4+a^8\,d^6+4\,a^6\,b^2\,c^6+12\,a^6\,b^2\,c^4\,d^2+12\,a^6\,b^2\,c^2\,d^4+4\,a^6\,b^2\,d^6+6\,a^4\,b^4\,c^6+18\,a^4\,b^4\,c^4\,d^2+18\,a^4\,b^4\,c^2\,d^4+6\,a^4\,b^4\,d^6+4\,a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+12\,a^2\,b^6\,c^2\,d^4+4\,a^2\,b^6\,d^6+b^8\,c^6+3\,b^8\,c^4\,d^2+3\,b^8\,c^2\,d^4+b^8\,d^6\right)}-a^4\,c^3\,f^2-b^4\,c^3\,f^2+4\,a\,b^3\,d^3\,f^2-4\,a^3\,b\,d^3\,f^2+3\,a^4\,c\,d^2\,f^2+3\,b^4\,c\,d^2\,f^2+6\,a^2\,b^2\,c^3\,f^2-12\,a\,b^3\,c^2\,d\,f^2+12\,a^3\,b\,c^2\,d\,f^2-18\,a^2\,b^2\,c\,d^2\,f^2}{4\,f^4}}\,2{}\mathrm{i}","Not used",1,"(2*b^2*(c + d*tan(e + f*x))^(5/2))/(5*d*f) - atan(((((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i - (((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i)/((((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (32*(a*b^5*d^8 + a^5*b*d^8 - a^6*c*d^7 + b^6*c*d^7 + 2*a^3*b^3*d^8 - 2*a^6*c^3*d^5 - a^6*c^5*d^3 + 2*b^6*c^3*d^5 + b^6*c^5*d^3 + a*b^5*c^2*d^6 - a*b^5*c^4*d^4 - a*b^5*c^6*d^2 + a^2*b^4*c*d^7 - a^4*b^2*c*d^7 + a^5*b*c^2*d^6 - a^5*b*c^4*d^4 - a^5*b*c^6*d^2 + 2*a^2*b^4*c^3*d^5 + a^2*b^4*c^5*d^3 + 2*a^3*b^3*c^2*d^6 - 2*a^3*b^3*c^4*d^4 - 2*a^3*b^3*c^6*d^2 - 2*a^4*b^2*c^3*d^5 - a^4*b^2*c^5*d^3))/f^3))*(-(((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) + a^4*c^3*f^2 + b^4*c^3*f^2 - 4*a*b^3*d^3*f^2 + 4*a^3*b*d^3*f^2 - 3*a^4*c*d^2*f^2 - 3*b^4*c*d^2*f^2 - 6*a^2*b^2*c^3*f^2 + 12*a*b^3*c^2*d*f^2 - 12*a^3*b*c^2*d*f^2 + 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*2i - atan(((((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i - (((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*1i)/((((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (((16*(2*a^2*d^5*f^2 - 2*b^2*d^5*f^2 + 2*a^2*c^2*d^3*f^2 - 2*b^2*c^2*d^3*f^2 + 4*a*b*c*d^4*f^2 + 4*a*b*c^3*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^6 + b^4*d^6 - 6*a^2*b^2*d^6 - 6*a^4*c^2*d^4 + a^4*c^4*d^2 - 6*b^4*c^2*d^4 + b^4*c^4*d^2 + 16*a*b^3*c^3*d^3 - 16*a^3*b*c^3*d^3 + 36*a^2*b^2*c^2*d^4 - 6*a^2*b^2*c^4*d^2 - 16*a*b^3*c*d^5 + 16*a^3*b*c*d^5))/f^2)*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + (32*(a*b^5*d^8 + a^5*b*d^8 - a^6*c*d^7 + b^6*c*d^7 + 2*a^3*b^3*d^8 - 2*a^6*c^3*d^5 - a^6*c^5*d^3 + 2*b^6*c^3*d^5 + b^6*c^5*d^3 + a*b^5*c^2*d^6 - a*b^5*c^4*d^4 - a*b^5*c^6*d^2 + a^2*b^4*c*d^7 - a^4*b^2*c*d^7 + a^5*b*c^2*d^6 - a^5*b*c^4*d^4 - a^5*b*c^6*d^2 + 2*a^2*b^4*c^3*d^5 + a^2*b^4*c^5*d^3 + 2*a^3*b^3*c^2*d^6 - 2*a^3*b^3*c^4*d^4 - 2*a^3*b^3*c^6*d^2 - 2*a^4*b^2*c^3*d^5 - a^4*b^2*c^5*d^3))/f^3))*((((8*a^4*c^3*f^2 + 8*b^4*c^3*f^2 - 32*a*b^3*d^3*f^2 + 32*a^3*b*d^3*f^2 - 24*a^4*c*d^2*f^2 - 24*b^4*c*d^2*f^2 - 48*a^2*b^2*c^3*f^2 + 96*a*b^3*c^2*d*f^2 - 96*a^3*b*c^2*d*f^2 + 144*a^2*b^2*c*d^2*f^2)^2/64 - f^4*(a^8*c^6 + a^8*d^6 + b^8*c^6 + b^8*d^6 + 4*a^2*b^6*c^6 + 6*a^4*b^4*c^6 + 4*a^6*b^2*c^6 + 4*a^2*b^6*d^6 + 6*a^4*b^4*d^6 + 4*a^6*b^2*d^6 + 3*a^8*c^2*d^4 + 3*a^8*c^4*d^2 + 3*b^8*c^2*d^4 + 3*b^8*c^4*d^2 + 12*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 18*a^4*b^4*c^2*d^4 + 18*a^4*b^4*c^4*d^2 + 12*a^6*b^2*c^2*d^4 + 12*a^6*b^2*c^4*d^2))^(1/2) - a^4*c^3*f^2 - b^4*c^3*f^2 + 4*a*b^3*d^3*f^2 - 4*a^3*b*d^3*f^2 + 3*a^4*c*d^2*f^2 + 3*b^4*c*d^2*f^2 + 6*a^2*b^2*c^3*f^2 - 12*a*b^3*c^2*d*f^2 + 12*a^3*b*c^2*d*f^2 - 18*a^2*b^2*c*d^2*f^2)/(4*f^4))^(1/2)*2i - ((4*b^2*c - 4*a*b*d)/(3*d*f) - (4*b^2*c)/(3*d*f))*(c + d*tan(e + f*x))^(3/2) - (c + d*tan(e + f*x))^(1/2)*(2*c*((4*b^2*c - 4*a*b*d)/(d*f) - (4*b^2*c)/(d*f)) - (2*(a*d - b*c)^2)/(d*f) + (2*b^2*(c^2 + d^2))/(d*f))","B"
1237,1,2823,150,17.413974,"\text{Not used}","int((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^(3/2),x)","\ln\left(\frac{\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+b^2\,c^3\,f^2-3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+b^2\,c^3\,f^2-3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(b\,c^2+b\,d^2-f\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+b^2\,c^3\,f^2-3\,b^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}+\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{8\,b^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}}{4\,f^4}+\frac{b^2\,c^3}{4\,f^2}-\frac{3\,b^2\,c\,d^2}{4\,f^2}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-b^2\,c^3\,f^2+3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-b^2\,c^3\,f^2+3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(b\,c^2+b\,d^2+f\,\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-b^2\,c^3\,f^2+3\,b^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}-\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{8\,b^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{-\frac{\sqrt{-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-b^2\,c^3\,f^2+3\,b^2\,c\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+b^2\,c^3\,f^2-3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+b^2\,c^3\,f^2-3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(b\,c^2+b\,d^2+f\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+b^2\,c^3\,f^2-3\,b^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}-\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{8\,b^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+b^2\,c^3\,f^2-3\,b^2\,c\,d^2\,f^2}{4\,f^4}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-b^2\,c^3\,f^2+3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,c\,d^2\,\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-b^2\,c^3\,f^2+3\,b^2\,c\,d^2\,f^2}{f^4}}\,\left(b\,c^2+b\,d^2-f\,\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-b^2\,c^3\,f^2+3\,b^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}+\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{8\,b^3\,d^2\,\left(c^2-d^2\right)\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{b^2\,c^3}{4\,f^2}-\frac{\sqrt{-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}}{4\,f^4}-\frac{3\,b^2\,c\,d^2}{4\,f^2}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d+c\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d+c\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{4\,f^4}}+\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d-c\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}-a^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}}{4\,f^4}-\frac{a^2\,c^3}{4\,f^2}+\frac{3\,a^2\,c\,d^2}{4\,f^2}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(\frac{16\,d^2\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\left(a\,d^3+a\,c^2\,d-c\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(3\,c^2-d^2\right)}^2}+a^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^4-6\,c^2\,d^2+d^4\right)}{f^2}\right)}{2}-\frac{16\,a^3\,c\,d^3\,{\left(c^2+d^2\right)}^2}{f^3}\right)\,\sqrt{\frac{3\,a^2\,c\,d^2}{4\,f^2}-\frac{a^2\,c^3}{4\,f^2}-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4}}{4\,f^4}}+\frac{2\,b\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{2\,a\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f}+\frac{2\,b\,c\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f}","Not used",1,"log(((((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + b^2*c^3*f^2 - 3*b^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + b^2*c^3*f^2 - 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(b*c^2 + b*d^2 - f*(((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + b^2*c^3*f^2 - 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (8*b^3*d^2*(c^2 - d^2)*(c^2 + d^2)^2)/f^3)*((6*b^4*c^2*d^4*f^4 - b^4*d^6*f^4 - 9*b^4*c^4*d^2*f^4)^(1/2)/(4*f^4) + (b^2*c^3)/(4*f^2) - (3*b^2*c*d^2)/(4*f^2))^(1/2) - log(((-((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - b^2*c^3*f^2 + 3*b^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(-((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - b^2*c^3*f^2 + 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(b*c^2 + b*d^2 + f*(-((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - b^2*c^3*f^2 + 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (8*b^3*d^2*(c^2 - d^2)*(c^2 + d^2)^2)/f^3)*(-((6*b^4*c^2*d^4*f^4 - b^4*d^6*f^4 - 9*b^4*c^4*d^2*f^4)^(1/2) - b^2*c^3*f^2 + 3*b^2*c*d^2*f^2)/(4*f^4))^(1/2) - log(((((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + b^2*c^3*f^2 - 3*b^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + b^2*c^3*f^2 - 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(b*c^2 + b*d^2 + f*(((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + b^2*c^3*f^2 - 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (8*b^3*d^2*(c^2 - d^2)*(c^2 + d^2)^2)/f^3)*(((6*b^4*c^2*d^4*f^4 - b^4*d^6*f^4 - 9*b^4*c^4*d^2*f^4)^(1/2) + b^2*c^3*f^2 - 3*b^2*c*d^2*f^2)/(4*f^4))^(1/2) + log(((-((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - b^2*c^3*f^2 + 3*b^2*c*d^2*f^2)/f^4)^(1/2)*((16*c*d^2*(-((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - b^2*c^3*f^2 + 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(b*c^2 + b*d^2 - f*(-((-b^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - b^2*c^3*f^2 + 3*b^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (8*b^3*d^2*(c^2 - d^2)*(c^2 + d^2)^2)/f^3)*((b^2*c^3)/(4*f^2) - (6*b^4*c^2*d^4*f^4 - b^4*d^6*f^4 - 9*b^4*c^4*d^2*f^4)^(1/2)/(4*f^4) - (3*b^2*c*d^2)/(4*f^2))^(1/2) - log(((-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d + c*f*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*(-((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/(4*f^4))^(1/2) - log(((((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d + c*f*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*(((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/(4*f^4))^(1/2) + log(((((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d - c*f*(((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) - a^2*c^3*f^2 + 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*((6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c^3)/(4*f^2) + (3*a^2*c*d^2)/(4*f^2))^(1/2) + log(((-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*((16*d^2*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(a*d^3 + a*c^2*d - c*f*(-((-a^4*d^2*f^4*(3*c^2 - d^2)^2)^(1/2) + a^2*c^3*f^2 - 3*a^2*c*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/f - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^4 + d^4 - 6*c^2*d^2))/f^2))/2 - (16*a^3*c*d^3*(c^2 + d^2)^2)/f^3)*((3*a^2*c*d^2)/(4*f^2) - (a^2*c^3)/(4*f^2) - (6*a^4*c^2*d^4*f^4 - a^4*d^6*f^4 - 9*a^4*c^4*d^2*f^4)^(1/2)/(4*f^4))^(1/2) + (2*b*(c + d*tan(e + f*x))^(3/2))/(3*f) + (2*a*d*(c + d*tan(e + f*x))^(1/2))/f + (2*b*c*(c + d*tan(e + f*x))^(1/2))/f","B"
1238,1,19118,170,13.014278,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x)),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,1{}\mathrm{i}}{\frac{64\,\left(-2\,a^3\,b\,c^5\,d^{13}-4\,a^3\,b\,c^3\,d^{15}-2\,a^3\,b\,c\,d^{17}+7\,a^2\,b^2\,c^6\,d^{12}+15\,a^2\,b^2\,c^4\,d^{14}+9\,a^2\,b^2\,c^2\,d^{16}+a^2\,b^2\,d^{18}-8\,a\,b^3\,c^7\,d^{11}-18\,a\,b^3\,c^5\,d^{13}-12\,a\,b^3\,c^3\,d^{15}-2\,a\,b^3\,c\,d^{17}+3\,b^4\,c^8\,d^{10}+7\,b^4\,c^6\,d^{12}+5\,b^4\,c^4\,d^{14}+b^4\,c^2\,d^{16}\right)}{f^5}+\left(\left(\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\frac{64\,\left(-2\,a^3\,b\,c^5\,d^{13}-4\,a^3\,b\,c^3\,d^{15}-2\,a^3\,b\,c\,d^{17}+7\,a^2\,b^2\,c^6\,d^{12}+15\,a^2\,b^2\,c^4\,d^{14}+9\,a^2\,b^2\,c^2\,d^{16}+a^2\,b^2\,d^{18}-8\,a\,b^3\,c^7\,d^{11}-18\,a\,b^3\,c^5\,d^{13}-12\,a\,b^3\,c^3\,d^{15}-2\,a\,b^3\,c\,d^{17}+3\,b^4\,c^8\,d^{10}+7\,b^4\,c^6\,d^{12}+5\,b^4\,c^4\,d^{14}+b^4\,c^2\,d^{16}\right)}{f^5}+\left(\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\left(\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\frac{\left(\frac{\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2\,b+f\,b^3\right)}\right)}{f\,a^2\,b+f\,b^3}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,1{}\mathrm{i}}{f\,a^2\,b+f\,b^3}-\frac{\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\frac{\left(\frac{\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2\,b+f\,b^3\right)}\right)}{f\,a^2\,b+f\,b^3}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,1{}\mathrm{i}}{f\,a^2\,b+f\,b^3}}{\frac{64\,\left(-2\,a^3\,b\,c^5\,d^{13}-4\,a^3\,b\,c^3\,d^{15}-2\,a^3\,b\,c\,d^{17}+7\,a^2\,b^2\,c^6\,d^{12}+15\,a^2\,b^2\,c^4\,d^{14}+9\,a^2\,b^2\,c^2\,d^{16}+a^2\,b^2\,d^{18}-8\,a\,b^3\,c^7\,d^{11}-18\,a\,b^3\,c^5\,d^{13}-12\,a\,b^3\,c^3\,d^{15}-2\,a\,b^3\,c\,d^{17}+3\,b^4\,c^8\,d^{10}+7\,b^4\,c^6\,d^{12}+5\,b^4\,c^4\,d^{14}+b^4\,c^2\,d^{16}\right)}{f^5}+\frac{\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\frac{\left(\frac{\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}-\frac{32\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2\,b+f\,b^3\right)}\right)}{f\,a^2\,b+f\,b^3}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}+\frac{\left(\frac{\left(\frac{32\,\left(4\,a^5\,b\,c^2\,d^{13}\,f^2+4\,a^5\,b\,d^{15}\,f^2-2\,a^4\,b^2\,c^5\,d^{10}\,f^2-32\,a^4\,b^2\,c^3\,d^{12}\,f^2-30\,a^4\,b^2\,c\,d^{14}\,f^2+a^3\,b^3\,c^6\,d^9\,f^2+75\,a^3\,b^3\,c^4\,d^{11}\,f^2+59\,a^3\,b^3\,c^2\,d^{13}\,f^2-15\,a^3\,b^3\,d^{15}\,f^2+a^2\,b^4\,c^7\,d^8\,f^2-81\,a^2\,b^4\,c^5\,d^{10}\,f^2-29\,a^2\,b^4\,c^3\,d^{12}\,f^2+53\,a^2\,b^4\,c\,d^{14}\,f^2+37\,a\,b^5\,c^6\,d^9\,f^2-25\,a\,b^5\,c^4\,d^{11}\,f^2-61\,a\,b^5\,c^2\,d^{13}\,f^2+a\,b^5\,d^{15}\,f^2-3\,b^6\,c^7\,d^8\,f^2+21\,b^6\,c^5\,d^{10}\,f^2+23\,b^6\,c^3\,d^{12}\,f^2-b^6\,c\,d^{14}\,f^2\right)}{f^5}+\frac{\left(\frac{\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{32\,\left(4\,a^6\,b^2\,c^2\,d^{10}\,f^4+4\,a^6\,b^2\,d^{12}\,f^4-16\,a^5\,b^3\,c^3\,d^9\,f^4-16\,a^5\,b^3\,c\,d^{11}\,f^4+12\,a^4\,b^4\,c^4\,d^8\,f^4+20\,a^4\,b^4\,c^2\,d^{10}\,f^4+8\,a^4\,b^4\,d^{12}\,f^4-32\,a^3\,b^5\,c^3\,d^9\,f^4-32\,a^3\,b^5\,c\,d^{11}\,f^4+24\,a^2\,b^6\,c^4\,d^8\,f^4+28\,a^2\,b^6\,c^2\,d^{10}\,f^4+4\,a^2\,b^6\,d^{12}\,f^4-16\,a\,b^7\,c^3\,d^9\,f^4-16\,a\,b^7\,c\,d^{11}\,f^4+12\,b^8\,c^4\,d^8\,f^4+12\,b^8\,c^2\,d^{10}\,f^4\right)}{f^5}+\frac{32\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(f\,a^2\,b+f\,b^3\right)}\right)}{f\,a^2\,b+f\,b^3}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^6\,b\,c\,d^{12}\,f^2+2\,a^5\,b^2\,c^4\,d^9\,f^2-44\,a^5\,b^2\,c^2\,d^{11}\,f^2-14\,a^5\,b^2\,d^{13}\,f^2-2\,a^4\,b^3\,c^5\,d^8\,f^2+60\,a^4\,b^3\,c^3\,d^{10}\,f^2+54\,a^4\,b^3\,c\,d^{12}\,f^2-28\,a^3\,b^4\,c^4\,d^9\,f^2-88\,a^3\,b^4\,c^2\,d^{11}\,f^2+4\,a^3\,b^4\,d^{13}\,f^2+12\,a^2\,b^5\,c^5\,d^8\,f^2+24\,a^2\,b^5\,c^3\,d^{10}\,f^2-28\,a^2\,b^5\,c\,d^{12}\,f^2+66\,a\,b^6\,c^4\,d^9\,f^2+20\,a\,b^6\,c^2\,d^{11}\,f^2-14\,a\,b^6\,d^{13}\,f^2-18\,b^7\,c^5\,d^8\,f^2+28\,b^7\,c^3\,d^{10}\,f^2+22\,b^7\,c\,d^{12}\,f^2\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^4\,b\,c^4\,d^{12}-12\,a^4\,b\,c^2\,d^{14}+2\,a^4\,b\,d^{16}-8\,a^3\,b^2\,c^5\,d^{11}+48\,a^3\,b^2\,c^3\,d^{13}-8\,a^3\,b^2\,c\,d^{15}+12\,a^2\,b^3\,c^6\,d^{10}-72\,a^2\,b^3\,c^4\,d^{12}+12\,a^2\,b^3\,c^2\,d^{14}-8\,a\,b^4\,c^7\,d^9+48\,a\,b^4\,c^5\,d^{11}-8\,a\,b^4\,c^3\,d^{13}+3\,b^5\,c^8\,d^8-8\,b^5\,c^6\,d^{10}+8\,b^5\,c^4\,d^{12}+4\,b^5\,c^2\,d^{14}+b^5\,d^{16}\right)}{f^4}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{f\,a^2\,b+f\,b^3}}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,2{}\mathrm{i}}{f\,a^2\,b+f\,b^3}","Not used",1,"(atan(-((((((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + ((((-b*(a*d - b*c)^3)^(1/2)*((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 - (32*(-b*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(b^3*f + a^2*b*f))))/(b^3*f + a^2*b*f) - (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f))*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*(-b*(a*d - b*c)^3)^(1/2)*1i)/(b^3*f + a^2*b*f) - (((((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + ((((-b*(a*d - b*c)^3)^(1/2)*((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 + (32*(-b*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(b^3*f + a^2*b*f))))/(b^3*f + a^2*b*f) + (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f))*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*(-b*(a*d - b*c)^3)^(1/2)*1i)/(b^3*f + a^2*b*f))/((64*(a^2*b^2*d^18 + b^4*c^2*d^16 + 5*b^4*c^4*d^14 + 7*b^4*c^6*d^12 + 3*b^4*c^8*d^10 - 12*a*b^3*c^3*d^15 - 18*a*b^3*c^5*d^13 - 8*a*b^3*c^7*d^11 - 4*a^3*b*c^3*d^15 - 2*a^3*b*c^5*d^13 + 9*a^2*b^2*c^2*d^16 + 15*a^2*b^2*c^4*d^14 + 7*a^2*b^2*c^6*d^12 - 2*a*b^3*c*d^17 - 2*a^3*b*c*d^17))/f^5 + (((((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + ((((-b*(a*d - b*c)^3)^(1/2)*((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 - (32*(-b*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(b^3*f + a^2*b*f))))/(b^3*f + a^2*b*f) - (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f))*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f) + (((((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + ((((-b*(a*d - b*c)^3)^(1/2)*((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 + (32*(-b*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(b^3*f + a^2*b*f))))/(b^3*f + a^2*b*f) + (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f))*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*(-b*(a*d - b*c)^3)^(1/2))/(b^3*f + a^2*b*f)))*(-b*(a*d - b*c)^3)^(1/2)*2i)/(b^3*f + a^2*b*f) - atan(((((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + (((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*1i - (((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + (((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*1i)/((64*(a^2*b^2*d^18 + b^4*c^2*d^16 + 5*b^4*c^4*d^14 + 7*b^4*c^6*d^12 + 3*b^4*c^8*d^10 - 12*a*b^3*c^3*d^15 - 18*a*b^3*c^5*d^13 - 8*a*b^3*c^7*d^11 - 4*a^3*b*c^3*d^15 - 2*a^3*b*c^5*d^13 + 9*a^2*b^2*c^2*d^16 + 15*a^2*b^2*c^4*d^14 + 7*a^2*b^2*c^6*d^12 - 2*a*b^3*c*d^17 - 2*a^3*b*c*d^17))/f^5 + (((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + (((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (((32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5 + (((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*2i - atan(((((((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*1i - (((((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*1i)/((64*(a^2*b^2*d^18 + b^4*c^2*d^16 + 5*b^4*c^4*d^14 + 7*b^4*c^6*d^12 + 3*b^4*c^8*d^10 - 12*a*b^3*c^3*d^15 - 18*a*b^3*c^5*d^13 - 8*a*b^3*c^7*d^11 - 4*a^3*b*c^3*d^15 - 2*a^3*b*c^5*d^13 + 9*a^2*b^2*c^2*d^16 + 15*a^2*b^2*c^4*d^14 + 7*a^2*b^2*c^6*d^12 - 2*a*b^3*c*d^17 - 2*a^3*b*c*d^17))/f^5 + (((((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 - (32*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (((((32*(4*a^2*b^6*d^12*f^4 + 8*a^4*b^4*d^12*f^4 + 4*a^6*b^2*d^12*f^4 + 12*b^8*c^2*d^10*f^4 + 12*b^8*c^4*d^8*f^4 + 28*a^2*b^6*c^2*d^10*f^4 + 24*a^2*b^6*c^4*d^8*f^4 - 32*a^3*b^5*c^3*d^9*f^4 + 20*a^4*b^4*c^2*d^10*f^4 + 12*a^4*b^4*c^4*d^8*f^4 - 16*a^5*b^3*c^3*d^9*f^4 + 4*a^6*b^2*c^2*d^10*f^4 - 16*a*b^7*c*d^11*f^4 - 16*a*b^7*c^3*d^9*f^4 - 32*a^3*b^5*c*d^11*f^4 - 16*a^5*b^3*c*d^11*f^4))/f^5 + (32*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(22*b^7*c*d^12*f^2 - 14*a*b^6*d^13*f^2 + 4*a^3*b^4*d^13*f^2 - 14*a^5*b^2*d^13*f^2 + 28*b^7*c^3*d^10*f^2 - 18*b^7*c^5*d^8*f^2 + 24*a^2*b^5*c^3*d^10*f^2 + 12*a^2*b^5*c^5*d^8*f^2 - 88*a^3*b^4*c^2*d^11*f^2 - 28*a^3*b^4*c^4*d^9*f^2 + 60*a^4*b^3*c^3*d^10*f^2 - 2*a^4*b^3*c^5*d^8*f^2 - 44*a^5*b^2*c^2*d^11*f^2 + 2*a^5*b^2*c^4*d^9*f^2 + 8*a^6*b*c*d^12*f^2 + 20*a*b^6*c^2*d^11*f^2 + 66*a*b^6*c^4*d^9*f^2 - 28*a^2*b^5*c*d^12*f^2 + 54*a^4*b^3*c*d^12*f^2))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(a*b^5*d^15*f^2 + 4*a^5*b*d^15*f^2 - b^6*c*d^14*f^2 - 15*a^3*b^3*d^15*f^2 + 23*b^6*c^3*d^12*f^2 + 21*b^6*c^5*d^10*f^2 - 3*b^6*c^7*d^8*f^2 - 29*a^2*b^4*c^3*d^12*f^2 - 81*a^2*b^4*c^5*d^10*f^2 + a^2*b^4*c^7*d^8*f^2 + 59*a^3*b^3*c^2*d^13*f^2 + 75*a^3*b^3*c^4*d^11*f^2 + a^3*b^3*c^6*d^9*f^2 - 32*a^4*b^2*c^3*d^12*f^2 - 2*a^4*b^2*c^5*d^10*f^2 - 61*a*b^5*c^2*d^13*f^2 - 25*a*b^5*c^4*d^11*f^2 + 37*a*b^5*c^6*d^9*f^2 + 53*a^2*b^4*c*d^14*f^2 - 30*a^4*b^2*c*d^14*f^2 + 4*a^5*b*c^2*d^13*f^2))/f^5)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^5*d^16 + 2*a^4*b*d^16 + 4*b^5*c^2*d^14 + 8*b^5*c^4*d^12 - 8*b^5*c^6*d^10 + 3*b^5*c^8*d^8 - 8*a*b^4*c^3*d^13 + 48*a*b^4*c^5*d^11 - 8*a*b^4*c^7*d^9 - 8*a^3*b^2*c*d^15 - 12*a^4*b*c^2*d^14 + 2*a^4*b*c^4*d^12 + 12*a^2*b^3*c^2*d^14 - 72*a^2*b^3*c^4*d^12 + 12*a^2*b^3*c^6*d^10 + 48*a^3*b^2*c^3*d^13 - 8*a^3*b^2*c^5*d^11))/f^4)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*2i","B"
1239,1,39388,239,12.951926,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^2,x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\left(\left(\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}-\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}+\frac{32\,\left(-a^6\,b\,c^5\,d^{13}-2\,a^6\,b\,c^3\,d^{15}-a^6\,b\,c\,d^{17}+10\,a^5\,b^2\,c^6\,d^{12}+20\,a^5\,b^2\,c^4\,d^{14}+10\,a^5\,b^2\,c^2\,d^{16}-33\,a^4\,b^3\,c^7\,d^{11}-60\,a^4\,b^3\,c^5\,d^{13}-21\,a^4\,b^3\,c^3\,d^{15}+6\,a^4\,b^3\,c\,d^{17}+41\,a^3\,b^4\,c^8\,d^{10}+48\,a^3\,b^4\,c^6\,d^{12}-26\,a^3\,b^4\,c^4\,d^{14}-32\,a^3\,b^4\,c^2\,d^{16}+a^3\,b^4\,d^{18}-21\,a^2\,b^5\,c^9\,d^9+2\,a^2\,b^5\,c^7\,d^{11}+53\,a^2\,b^5\,c^5\,d^{13}+16\,a^2\,b^5\,c^3\,d^{15}-14\,a^2\,b^5\,c\,d^{17}+4\,a\,b^6\,c^{10}\,d^8-11\,a\,b^6\,c^8\,d^{10}-18\,a\,b^6\,c^6\,d^{12}+10\,a\,b^6\,c^4\,d^{14}+10\,a\,b^6\,c^2\,d^{16}-3\,a\,b^6\,d^{18}+3\,b^7\,c^9\,d^9+3\,b^7\,c^7\,d^{11}+3\,b^7\,c^3\,d^{15}+3\,b^7\,c\,d^{17}\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}}\right)\,\sqrt{\frac{-c^3-c^2\,d\,3{}\mathrm{i}+3\,c\,d^2+d^3\,1{}\mathrm{i}}{4\,\left(a^4\,f^2+a^3\,b\,f^2\,4{}\mathrm{i}-6\,a^2\,b^2\,f^2-a\,b^3\,f^2\,4{}\mathrm{i}+b^4\,f^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\left(\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\left(-a^6\,b\,c^5\,d^{13}-2\,a^6\,b\,c^3\,d^{15}-a^6\,b\,c\,d^{17}+10\,a^5\,b^2\,c^6\,d^{12}+20\,a^5\,b^2\,c^4\,d^{14}+10\,a^5\,b^2\,c^2\,d^{16}-33\,a^4\,b^3\,c^7\,d^{11}-60\,a^4\,b^3\,c^5\,d^{13}-21\,a^4\,b^3\,c^3\,d^{15}+6\,a^4\,b^3\,c\,d^{17}+41\,a^3\,b^4\,c^8\,d^{10}+48\,a^3\,b^4\,c^6\,d^{12}-26\,a^3\,b^4\,c^4\,d^{14}-32\,a^3\,b^4\,c^2\,d^{16}+a^3\,b^4\,d^{18}-21\,a^2\,b^5\,c^9\,d^9+2\,a^2\,b^5\,c^7\,d^{11}+53\,a^2\,b^5\,c^5\,d^{13}+16\,a^2\,b^5\,c^3\,d^{15}-14\,a^2\,b^5\,c\,d^{17}+4\,a\,b^6\,c^{10}\,d^8-11\,a\,b^6\,c^8\,d^{10}-18\,a\,b^6\,c^6\,d^{12}+10\,a\,b^6\,c^4\,d^{14}+10\,a\,b^6\,c^2\,d^{16}-3\,a\,b^6\,d^{18}+3\,b^7\,c^9\,d^9+3\,b^7\,c^7\,d^{11}+3\,b^7\,c^3\,d^{15}+3\,b^7\,c\,d^{17}\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}}\right)\,\sqrt{\frac{-c^3\,1{}\mathrm{i}-3\,c^2\,d+c\,d^2\,3{}\mathrm{i}+d^3}{4\,\left(a^4\,f^2\,1{}\mathrm{i}+4\,a^3\,b\,f^2-a^2\,b^2\,f^2\,6{}\mathrm{i}-4\,a\,b^3\,f^2+b^4\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)\,1{}\mathrm{i}}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)\,1{}\mathrm{i}}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}}{\frac{32\,\left(-a^6\,b\,c^5\,d^{13}-2\,a^6\,b\,c^3\,d^{15}-a^6\,b\,c\,d^{17}+10\,a^5\,b^2\,c^6\,d^{12}+20\,a^5\,b^2\,c^4\,d^{14}+10\,a^5\,b^2\,c^2\,d^{16}-33\,a^4\,b^3\,c^7\,d^{11}-60\,a^4\,b^3\,c^5\,d^{13}-21\,a^4\,b^3\,c^3\,d^{15}+6\,a^4\,b^3\,c\,d^{17}+41\,a^3\,b^4\,c^8\,d^{10}+48\,a^3\,b^4\,c^6\,d^{12}-26\,a^3\,b^4\,c^4\,d^{14}-32\,a^3\,b^4\,c^2\,d^{16}+a^3\,b^4\,d^{18}-21\,a^2\,b^5\,c^9\,d^9+2\,a^2\,b^5\,c^7\,d^{11}+53\,a^2\,b^5\,c^5\,d^{13}+16\,a^2\,b^5\,c^3\,d^{15}-14\,a^2\,b^5\,c\,d^{17}+4\,a\,b^6\,c^{10}\,d^8-11\,a\,b^6\,c^8\,d^{10}-18\,a\,b^6\,c^6\,d^{12}+10\,a\,b^6\,c^4\,d^{14}+10\,a\,b^6\,c^2\,d^{16}-3\,a\,b^6\,d^{18}+3\,b^7\,c^9\,d^9+3\,b^7\,c^7\,d^{11}+3\,b^7\,c^3\,d^{15}+3\,b^7\,c\,d^{17}\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}-\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,b\,c^4\,d^{12}-6\,a^8\,b\,c^2\,d^{14}+a^8\,b\,d^{16}-10\,a^7\,b^2\,c^5\,d^{11}+68\,a^7\,b^2\,c^3\,d^{13}-18\,a^7\,b^2\,c\,d^{15}+33\,a^6\,b^3\,c^6\,d^{10}-285\,a^6\,b^3\,c^4\,d^{12}+155\,a^6\,b^3\,c^2\,d^{14}-7\,a^6\,b^3\,d^{16}-40\,a^5\,b^4\,c^7\,d^9+550\,a^5\,b^4\,c^5\,d^{11}-628\,a^5\,b^4\,c^3\,d^{13}+94\,a^5\,b^4\,c\,d^{15}+18\,a^4\,b^5\,c^8\,d^8-495\,a^4\,b^5\,c^6\,d^{10}+1173\,a^4\,b^5\,c^4\,d^{12}-457\,a^4\,b^5\,c^2\,d^{14}+17\,a^4\,b^5\,d^{16}+192\,a^3\,b^6\,c^7\,d^9-998\,a^3\,b^6\,c^5\,d^{11}+892\,a^3\,b^6\,c^3\,d^{13}-126\,a^3\,b^6\,c\,d^{15}-12\,a^2\,b^7\,c^8\,d^8+367\,a^2\,b^7\,c^6\,d^{10}-715\,a^2\,b^7\,c^4\,d^{12}+277\,a^2\,b^7\,c^2\,d^{14}-5\,a^2\,b^7\,d^{16}-24\,a\,b^8\,c^7\,d^9+234\,a\,b^8\,c^5\,d^{11}-204\,a\,b^8\,c^3\,d^{13}+18\,a\,b^8\,c\,d^{15}+2\,b^9\,c^8\,d^8-b^9\,c^6\,d^{10}+66\,b^9\,c^4\,d^{12}-b^9\,c^2\,d^{14}+2\,b^9\,d^{16}\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\left(\frac{16\,\left(-2\,a^{10}\,b\,c^2\,d^{13}\,f^2-2\,a^{10}\,b\,d^{15}\,f^2+4\,a^9\,b^2\,c^5\,d^{10}\,f^2+36\,a^9\,b^2\,c^3\,d^{12}\,f^2+32\,a^9\,b^2\,c\,d^{14}\,f^2-4\,a^8\,b^3\,c^6\,d^9\,f^2-154\,a^8\,b^3\,c^4\,d^{11}\,f^2-126\,a^8\,b^3\,c^2\,d^{13}\,f^2+24\,a^8\,b^3\,d^{15}\,f^2+352\,a^7\,b^4\,c^5\,d^{10}\,f^2+144\,a^7\,b^4\,c^3\,d^{12}\,f^2-208\,a^7\,b^4\,c\,d^{14}\,f^2-328\,a^6\,b^5\,c^6\,d^9\,f^2+312\,a^6\,b^5\,c^4\,d^{11}\,f^2+580\,a^6\,b^5\,c^2\,d^{13}\,f^2-60\,a^6\,b^5\,d^{15}\,f^2+96\,a^5\,b^6\,c^7\,d^8\,f^2-456\,a^5\,b^6\,c^5\,d^{10}\,f^2-296\,a^5\,b^6\,c^3\,d^{12}\,f^2+256\,a^5\,b^6\,c\,d^{14}\,f^2+32\,a^4\,b^7\,c^6\,d^9\,f^2+148\,a^4\,b^7\,c^4\,d^{11}\,f^2+108\,a^4\,b^7\,c^2\,d^{13}\,f^2-8\,a^4\,b^7\,d^{15}\,f^2+64\,a^3\,b^8\,c^7\,d^8\,f^2-544\,a^3\,b^8\,c^5\,d^{10}\,f^2-240\,a^3\,b^8\,c^3\,d^{12}\,f^2+368\,a^3\,b^8\,c\,d^{14}\,f^2+328\,a^2\,b^9\,c^6\,d^9\,f^2-296\,a^2\,b^9\,c^4\,d^{11}\,f^2-546\,a^2\,b^9\,c^2\,d^{13}\,f^2+78\,a^2\,b^9\,d^{15}\,f^2-32\,a\,b^{10}\,c^7\,d^8\,f^2+260\,a\,b^{10}\,c^5\,d^{10}\,f^2+164\,a\,b^{10}\,c^3\,d^{12}\,f^2-128\,a\,b^{10}\,c\,d^{14}\,f^2-28\,b^{11}\,c^6\,d^9\,f^2+22\,b^{11}\,c^4\,d^{11}\,f^2+50\,b^{11}\,c^2\,d^{13}\,f^2\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{12}\,b\,c\,d^{12}\,f^2-4\,a^{11}\,b^2\,c^4\,d^9\,f^2+64\,a^{11}\,b^2\,c^2\,d^{11}\,f^2+4\,a^{11}\,b^2\,d^{13}\,f^2+4\,a^{10}\,b^3\,c^5\,d^8\,f^2-188\,a^{10}\,b^3\,c^3\,d^{10}\,f^2-24\,a^{10}\,b^3\,c\,d^{12}\,f^2+180\,a^9\,b^4\,c^4\,d^9\,f^2+200\,a^9\,b^4\,c^2\,d^{11}\,f^2-44\,a^9\,b^4\,d^{13}\,f^2-68\,a^8\,b^5\,c^5\,d^8\,f^2-404\,a^8\,b^5\,c^3\,d^{10}\,f^2+308\,a^8\,b^5\,c\,d^{12}\,f^2+120\,a^7\,b^6\,c^4\,d^9\,f^2-224\,a^7\,b^6\,c^2\,d^{11}\,f^2+40\,a^7\,b^6\,d^{13}\,f^2+8\,a^6\,b^7\,c^5\,d^8\,f^2-504\,a^6\,b^7\,c^3\,d^{10}\,f^2+304\,a^6\,b^7\,c\,d^{12}\,f^2+8\,a^5\,b^8\,c^4\,d^9\,f^2-720\,a^5\,b^8\,c^2\,d^{11}\,f^2+168\,a^5\,b^8\,d^{13}\,f^2+216\,a^4\,b^9\,c^5\,d^8\,f^2-456\,a^4\,b^9\,c^3\,d^{10}\,f^2-348\,a^4\,b^9\,c\,d^{12}\,f^2+396\,a^3\,b^{10}\,c^4\,d^9\,f^2-288\,a^3\,b^{10}\,c^2\,d^{11}\,f^2+20\,a^3\,b^{10}\,d^{13}\,f^2+116\,a^2\,b^{11}\,c^5\,d^8\,f^2-76\,a^2\,b^{11}\,c^3\,d^{10}\,f^2-280\,a^2\,b^{11}\,c\,d^{12}\,f^2+324\,a\,b^{12}\,c^4\,d^9\,f^2+72\,a\,b^{12}\,c^2\,d^{11}\,f^2-60\,a\,b^{12}\,d^{13}\,f^2-20\,b^{13}\,c^5\,d^8\,f^2+92\,b^{13}\,c^3\,d^{10}\,f^2+44\,b^{13}\,c\,d^{12}\,f^2\right)}{a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(\frac{16\,\left(8\,a^{13}\,b^2\,c^2\,d^{10}\,f^4+8\,a^{13}\,b^2\,d^{12}\,f^4-40\,a^{12}\,b^3\,c^3\,d^9\,f^4-40\,a^{12}\,b^3\,c\,d^{11}\,f^4+32\,a^{11}\,b^4\,c^4\,d^8\,f^4+32\,a^{11}\,b^4\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^5\,c^3\,d^9\,f^4-160\,a^{10}\,b^5\,c\,d^{11}\,f^4+160\,a^9\,b^6\,c^4\,d^8\,f^4+40\,a^9\,b^6\,c^2\,d^{10}\,f^4-120\,a^9\,b^6\,d^{12}\,f^4-200\,a^8\,b^7\,c^3\,d^9\,f^4-200\,a^8\,b^7\,c\,d^{11}\,f^4+320\,a^7\,b^8\,c^4\,d^8\,f^4-320\,a^7\,b^8\,d^{12}\,f^4+320\,a^5\,b^{10}\,c^4\,d^8\,f^4-40\,a^5\,b^{10}\,c^2\,d^{10}\,f^4-360\,a^5\,b^{10}\,d^{12}\,f^4+200\,a^4\,b^{11}\,c^3\,d^9\,f^4+200\,a^4\,b^{11}\,c\,d^{11}\,f^4+160\,a^3\,b^{12}\,c^4\,d^8\,f^4-32\,a^3\,b^{12}\,c^2\,d^{10}\,f^4-192\,a^3\,b^{12}\,d^{12}\,f^4+160\,a^2\,b^{13}\,c^3\,d^9\,f^4+160\,a^2\,b^{13}\,c\,d^{11}\,f^4+32\,a\,b^{14}\,c^4\,d^8\,f^4-8\,a\,b^{14}\,c^2\,d^{10}\,f^4-40\,a\,b^{14}\,d^{12}\,f^4+40\,b^{15}\,c^3\,d^9\,f^4+40\,b^{15}\,c\,d^{11}\,f^4\right)}{a^8\,f^5+4\,a^6\,b^2\,f^5+6\,a^4\,b^4\,f^5+4\,a^2\,b^6\,f^5+b^8\,f^5}+\frac{8\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)\,\left(16\,a^{15}\,b^2\,c\,d^9\,f^4-16\,a^{14}\,b^3\,c^2\,d^8\,f^4-32\,a^{14}\,b^3\,d^{10}\,f^4+112\,a^{13}\,b^4\,c\,d^9\,f^4-48\,a^{12}\,b^5\,c^2\,d^8\,f^4-160\,a^{12}\,b^5\,d^{10}\,f^4+336\,a^{11}\,b^6\,c\,d^9\,f^4+48\,a^{10}\,b^7\,c^2\,d^8\,f^4-288\,a^{10}\,b^7\,d^{10}\,f^4+560\,a^9\,b^8\,c\,d^9\,f^4+400\,a^8\,b^9\,c^2\,d^8\,f^4-160\,a^8\,b^9\,d^{10}\,f^4+560\,a^7\,b^{10}\,c\,d^9\,f^4+720\,a^6\,b^{11}\,c^2\,d^8\,f^4+160\,a^6\,b^{11}\,d^{10}\,f^4+336\,a^5\,b^{12}\,c\,d^9\,f^4+624\,a^4\,b^{13}\,c^2\,d^8\,f^4+288\,a^4\,b^{13}\,d^{10}\,f^4+112\,a^3\,b^{14}\,c\,d^9\,f^4+272\,a^2\,b^{15}\,c^2\,d^8\,f^4+160\,a^2\,b^{15}\,d^{10}\,f^4+16\,a\,b^{16}\,c\,d^9\,f^4+48\,b^{17}\,c^2\,d^8\,f^4+32\,b^{17}\,d^{10}\,f^4\right)}{\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)}{2\,\left(f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5\right)}}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(-d\,a^2+4\,c\,a\,b+3\,d\,b^2\right)\,1{}\mathrm{i}}{f\,a^4\,b+2\,f\,a^2\,b^3+f\,b^5}+\frac{d\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\left(a^2+b^2\right)\,\left(b\,f\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+a\,d\,f-b\,c\,f\right)}","Not used",1,"(atan(((((16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + (((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + ((-b*(a*d - b*c))^(1/2)*((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((b^5*f + 2*a^2*b^3*f + a^4*b*f)*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c)*1i)/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)) + (((16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - (((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - ((-b*(a*d - b*c))^(1/2)*((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((b^5*f + 2*a^2*b^3*f + a^4*b*f)*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c)*1i)/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))/((32*(3*b^7*c*d^17 - 3*a*b^6*d^18 + a^3*b^4*d^18 + 3*b^7*c^3*d^15 + 3*b^7*c^7*d^11 + 3*b^7*c^9*d^9 + 10*a*b^6*c^2*d^16 + 10*a*b^6*c^4*d^14 - 18*a*b^6*c^6*d^12 - 11*a*b^6*c^8*d^10 + 4*a*b^6*c^10*d^8 - 14*a^2*b^5*c*d^17 + 6*a^4*b^3*c*d^17 - 2*a^6*b*c^3*d^15 - a^6*b*c^5*d^13 + 16*a^2*b^5*c^3*d^15 + 53*a^2*b^5*c^5*d^13 + 2*a^2*b^5*c^7*d^11 - 21*a^2*b^5*c^9*d^9 - 32*a^3*b^4*c^2*d^16 - 26*a^3*b^4*c^4*d^14 + 48*a^3*b^4*c^6*d^12 + 41*a^3*b^4*c^8*d^10 - 21*a^4*b^3*c^3*d^15 - 60*a^4*b^3*c^5*d^13 - 33*a^4*b^3*c^7*d^11 + 10*a^5*b^2*c^2*d^16 + 20*a^5*b^2*c^4*d^14 + 10*a^5*b^2*c^6*d^12 - a^6*b*c*d^17))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + (((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + ((-b*(a*d - b*c))^(1/2)*((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((b^5*f + 2*a^2*b^3*f + a^4*b*f)*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)) + (((16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - (((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + ((-b*(a*d - b*c))^(1/2)*((16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - ((-b*(a*d - b*c))^(1/2)*((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (8*(-b*(a*d - b*c))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((b^5*f + 2*a^2*b^3*f + a^4*b*f)*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f)))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c))/(2*(b^5*f + 2*a^2*b^3*f + a^4*b*f))))*(-b*(a*d - b*c))^(1/2)*(3*b^2*d - a^2*d + 4*a*b*c)*1i)/(b^5*f + 2*a^2*b^3*f + a^4*b*f) - atan(((((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*1i - (((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*1i)/((((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) + (((16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2) - (32*(3*b^7*c*d^17 - 3*a*b^6*d^18 + a^3*b^4*d^18 + 3*b^7*c^3*d^15 + 3*b^7*c^7*d^11 + 3*b^7*c^9*d^9 + 10*a*b^6*c^2*d^16 + 10*a*b^6*c^4*d^14 - 18*a*b^6*c^6*d^12 - 11*a*b^6*c^8*d^10 + 4*a*b^6*c^10*d^8 - 14*a^2*b^5*c*d^17 + 6*a^4*b^3*c*d^17 - 2*a^6*b*c^3*d^15 - a^6*b*c^5*d^13 + 16*a^2*b^5*c^3*d^15 + 53*a^2*b^5*c^5*d^13 + 2*a^2*b^5*c^7*d^11 - 21*a^2*b^5*c^9*d^9 - 32*a^3*b^4*c^2*d^16 - 26*a^3*b^4*c^4*d^14 + 48*a^3*b^4*c^6*d^12 + 41*a^3*b^4*c^8*d^10 - 21*a^4*b^3*c^3*d^15 - 60*a^4*b^3*c^5*d^13 - 33*a^4*b^3*c^7*d^11 + 10*a^5*b^2*c^2*d^16 + 20*a^5*b^2*c^4*d^14 + 10*a^5*b^2*c^6*d^12 - a^6*b*c*d^17))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5)))*((c*d^2*3i - 3*c^2*d - c^3*1i + d^3)/(4*(a^4*f^2*1i + b^4*f^2*1i - 4*a*b^3*f^2 + 4*a^3*b*f^2 - a^2*b^2*f^2*6i)))^(1/2)*2i - atan(((((((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*1i - (((((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*1i)/((((((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (((((16*(40*b^15*c*d^11*f^4 - 40*a*b^14*d^12*f^4 - 192*a^3*b^12*d^12*f^4 - 360*a^5*b^10*d^12*f^4 - 320*a^7*b^8*d^12*f^4 - 120*a^9*b^6*d^12*f^4 + 8*a^13*b^2*d^12*f^4 + 40*b^15*c^3*d^9*f^4 + 160*a^2*b^13*c^3*d^9*f^4 - 32*a^3*b^12*c^2*d^10*f^4 + 160*a^3*b^12*c^4*d^8*f^4 + 200*a^4*b^11*c^3*d^9*f^4 - 40*a^5*b^10*c^2*d^10*f^4 + 320*a^5*b^10*c^4*d^8*f^4 + 320*a^7*b^8*c^4*d^8*f^4 - 200*a^8*b^7*c^3*d^9*f^4 + 40*a^9*b^6*c^2*d^10*f^4 + 160*a^9*b^6*c^4*d^8*f^4 - 160*a^10*b^5*c^3*d^9*f^4 + 32*a^11*b^4*c^2*d^10*f^4 + 32*a^11*b^4*c^4*d^8*f^4 - 40*a^12*b^3*c^3*d^9*f^4 + 8*a^13*b^2*c^2*d^10*f^4 - 8*a*b^14*c^2*d^10*f^4 + 32*a*b^14*c^4*d^8*f^4 + 160*a^2*b^13*c*d^11*f^4 + 200*a^4*b^11*c*d^11*f^4 - 200*a^8*b^7*c*d^11*f^4 - 160*a^10*b^5*c*d^11*f^4 - 40*a^12*b^3*c*d^11*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(44*b^13*c*d^12*f^2 - 60*a*b^12*d^13*f^2 + 20*a^3*b^10*d^13*f^2 + 168*a^5*b^8*d^13*f^2 + 40*a^7*b^6*d^13*f^2 - 44*a^9*b^4*d^13*f^2 + 4*a^11*b^2*d^13*f^2 + 92*b^13*c^3*d^10*f^2 - 20*b^13*c^5*d^8*f^2 - 76*a^2*b^11*c^3*d^10*f^2 + 116*a^2*b^11*c^5*d^8*f^2 - 288*a^3*b^10*c^2*d^11*f^2 + 396*a^3*b^10*c^4*d^9*f^2 - 456*a^4*b^9*c^3*d^10*f^2 + 216*a^4*b^9*c^5*d^8*f^2 - 720*a^5*b^8*c^2*d^11*f^2 + 8*a^5*b^8*c^4*d^9*f^2 - 504*a^6*b^7*c^3*d^10*f^2 + 8*a^6*b^7*c^5*d^8*f^2 - 224*a^7*b^6*c^2*d^11*f^2 + 120*a^7*b^6*c^4*d^9*f^2 - 404*a^8*b^5*c^3*d^10*f^2 - 68*a^8*b^5*c^5*d^8*f^2 + 200*a^9*b^4*c^2*d^11*f^2 + 180*a^9*b^4*c^4*d^9*f^2 - 188*a^10*b^3*c^3*d^10*f^2 + 4*a^10*b^3*c^5*d^8*f^2 + 64*a^11*b^2*c^2*d^11*f^2 - 4*a^11*b^2*c^4*d^9*f^2 - 4*a^12*b*c*d^12*f^2 + 72*a*b^12*c^2*d^11*f^2 + 324*a*b^12*c^4*d^9*f^2 - 280*a^2*b^11*c*d^12*f^2 - 348*a^4*b^9*c*d^12*f^2 + 304*a^6*b^7*c*d^12*f^2 + 308*a^8*b^5*c*d^12*f^2 - 24*a^10*b^3*c*d^12*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) - (16*(78*a^2*b^9*d^15*f^2 - 2*a^10*b*d^15*f^2 - 8*a^4*b^7*d^15*f^2 - 60*a^6*b^5*d^15*f^2 + 24*a^8*b^3*d^15*f^2 + 50*b^11*c^2*d^13*f^2 + 22*b^11*c^4*d^11*f^2 - 28*b^11*c^6*d^9*f^2 - 546*a^2*b^9*c^2*d^13*f^2 - 296*a^2*b^9*c^4*d^11*f^2 + 328*a^2*b^9*c^6*d^9*f^2 - 240*a^3*b^8*c^3*d^12*f^2 - 544*a^3*b^8*c^5*d^10*f^2 + 64*a^3*b^8*c^7*d^8*f^2 + 108*a^4*b^7*c^2*d^13*f^2 + 148*a^4*b^7*c^4*d^11*f^2 + 32*a^4*b^7*c^6*d^9*f^2 - 296*a^5*b^6*c^3*d^12*f^2 - 456*a^5*b^6*c^5*d^10*f^2 + 96*a^5*b^6*c^7*d^8*f^2 + 580*a^6*b^5*c^2*d^13*f^2 + 312*a^6*b^5*c^4*d^11*f^2 - 328*a^6*b^5*c^6*d^9*f^2 + 144*a^7*b^4*c^3*d^12*f^2 + 352*a^7*b^4*c^5*d^10*f^2 - 126*a^8*b^3*c^2*d^13*f^2 - 154*a^8*b^3*c^4*d^11*f^2 - 4*a^8*b^3*c^6*d^9*f^2 + 36*a^9*b^2*c^3*d^12*f^2 + 4*a^9*b^2*c^5*d^10*f^2 - 128*a*b^10*c*d^14*f^2 + 164*a*b^10*c^3*d^12*f^2 + 260*a*b^10*c^5*d^10*f^2 - 32*a*b^10*c^7*d^8*f^2 + 368*a^3*b^8*c*d^14*f^2 + 256*a^5*b^6*c*d^14*f^2 - 208*a^7*b^4*c*d^14*f^2 + 32*a^9*b^2*c*d^14*f^2 - 2*a^10*b*c^2*d^13*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^9*d^16 + a^8*b*d^16 - 5*a^2*b^7*d^16 + 17*a^4*b^5*d^16 - 7*a^6*b^3*d^16 - b^9*c^2*d^14 + 66*b^9*c^4*d^12 - b^9*c^6*d^10 + 2*b^9*c^8*d^8 - 204*a*b^8*c^3*d^13 + 234*a*b^8*c^5*d^11 - 24*a*b^8*c^7*d^9 - 126*a^3*b^6*c*d^15 + 94*a^5*b^4*c*d^15 - 18*a^7*b^2*c*d^15 - 6*a^8*b*c^2*d^14 + a^8*b*c^4*d^12 + 277*a^2*b^7*c^2*d^14 - 715*a^2*b^7*c^4*d^12 + 367*a^2*b^7*c^6*d^10 - 12*a^2*b^7*c^8*d^8 + 892*a^3*b^6*c^3*d^13 - 998*a^3*b^6*c^5*d^11 + 192*a^3*b^6*c^7*d^9 - 457*a^4*b^5*c^2*d^14 + 1173*a^4*b^5*c^4*d^12 - 495*a^4*b^5*c^6*d^10 + 18*a^4*b^5*c^8*d^8 - 628*a^5*b^4*c^3*d^13 + 550*a^5*b^4*c^5*d^11 - 40*a^5*b^4*c^7*d^9 + 155*a^6*b^3*c^2*d^14 - 285*a^6*b^3*c^4*d^12 + 33*a^6*b^3*c^6*d^10 + 68*a^7*b^2*c^3*d^13 - 10*a^7*b^2*c^5*d^11 + 18*a*b^8*c*d^15))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2) + (32*(3*b^7*c*d^17 - 3*a*b^6*d^18 + a^3*b^4*d^18 + 3*b^7*c^3*d^15 + 3*b^7*c^7*d^11 + 3*b^7*c^9*d^9 + 10*a*b^6*c^2*d^16 + 10*a*b^6*c^4*d^14 - 18*a*b^6*c^6*d^12 - 11*a*b^6*c^8*d^10 + 4*a*b^6*c^10*d^8 - 14*a^2*b^5*c*d^17 + 6*a^4*b^3*c*d^17 - 2*a^6*b*c^3*d^15 - a^6*b*c^5*d^13 + 16*a^2*b^5*c^3*d^15 + 53*a^2*b^5*c^5*d^13 + 2*a^2*b^5*c^7*d^11 - 21*a^2*b^5*c^9*d^9 - 32*a^3*b^4*c^2*d^16 - 26*a^3*b^4*c^4*d^14 + 48*a^3*b^4*c^6*d^12 + 41*a^3*b^4*c^8*d^10 - 21*a^4*b^3*c^3*d^15 - 60*a^4*b^3*c^5*d^13 - 33*a^4*b^3*c^7*d^11 + 10*a^5*b^2*c^2*d^16 + 20*a^5*b^2*c^4*d^14 + 10*a^5*b^2*c^6*d^12 - a^6*b*c*d^17))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5)))*((3*c*d^2 - c^2*d*3i - c^3 + d^3*1i)/(4*(a^4*f^2 + b^4*f^2 - a*b^3*f^2*4i + a^3*b*f^2*4i - 6*a^2*b^2*f^2)))^(1/2)*2i + (d*(a*d - b*c)*(c + d*tan(e + f*x))^(1/2))/((a^2 + b^2)*(b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f))","B"
1240,1,90146,341,36.702987,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^3,x)","-\mathrm{atan}\left(\frac{\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{18\,a^9\,b\,c^5\,d^{13}+36\,a^9\,b\,c^3\,d^{15}+18\,a^9\,b\,c\,d^{17}-297\,a^8\,b^2\,c^6\,d^{12}-585\,a^8\,b^2\,c^4\,d^{14}-279\,a^8\,b^2\,c^2\,d^{16}+9\,a^8\,b^2\,d^{18}+1584\,a^7\,b^3\,c^7\,d^{11}+2712\,a^7\,b^3\,c^5\,d^{13}+672\,a^7\,b^3\,c^3\,d^{15}-456\,a^7\,b^3\,c\,d^{17}-3048\,a^6\,b^4\,c^8\,d^{10}-2292\,a^6\,b^4\,c^6\,d^{12}+4380\,a^6\,b^4\,c^4\,d^{14}+3444\,a^6\,b^4\,c^2\,d^{16}-180\,a^6\,b^4\,d^{18}+2496\,a^5\,b^5\,c^9\,d^9-3696\,a^5\,b^5\,c^7\,d^{11}-11812\,a^5\,b^5\,c^5\,d^{13}-2552\,a^5\,b^5\,c^3\,d^{15}+3068\,a^5\,b^5\,c\,d^{17}-768\,a^4\,b^6\,c^{10}\,d^8+6664\,a^4\,b^6\,c^8\,d^{10}+7450\,a^4\,b^6\,c^6\,d^{12}-7286\,a^4\,b^6\,c^4\,d^{14}-6426\,a^4\,b^6\,c^2\,d^{16}+878\,a^4\,b^6\,d^{18}-3200\,a^3\,b^7\,c^9\,d^9+2192\,a^3\,b^7\,c^7\,d^{11}+11320\,a^3\,b^7\,c^5\,d^{13}+3264\,a^3\,b^7\,c^3\,d^{15}-2664\,a^3\,b^7\,c\,d^{17}+256\,a^2\,b^8\,c^{10}\,d^8-3384\,a^2\,b^8\,c^8\,d^{10}-4500\,a^2\,b^8\,c^6\,d^{12}+2204\,a^2\,b^8\,c^4\,d^{14}+3092\,a^2\,b^8\,c^2\,d^{16}+28\,a^2\,b^8\,d^{18}+448\,a\,b^9\,c^9\,d^9-720\,a\,b^9\,c^7\,d^{11}-2846\,a\,b^9\,c^5\,d^{13}-1740\,a\,b^9\,c^3\,d^{15}-62\,a\,b^9\,c\,d^{17}+216\,b^{10}\,c^8\,d^{10}+391\,b^{10}\,c^6\,d^{12}+119\,b^{10}\,c^4\,d^{14}-71\,b^{10}\,c^2\,d^{16}-15\,b^{10}\,d^{18}}{a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\left(\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\left(\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{18\,a^9\,b\,c^5\,d^{13}+36\,a^9\,b\,c^3\,d^{15}+18\,a^9\,b\,c\,d^{17}-297\,a^8\,b^2\,c^6\,d^{12}-585\,a^8\,b^2\,c^4\,d^{14}-279\,a^8\,b^2\,c^2\,d^{16}+9\,a^8\,b^2\,d^{18}+1584\,a^7\,b^3\,c^7\,d^{11}+2712\,a^7\,b^3\,c^5\,d^{13}+672\,a^7\,b^3\,c^3\,d^{15}-456\,a^7\,b^3\,c\,d^{17}-3048\,a^6\,b^4\,c^8\,d^{10}-2292\,a^6\,b^4\,c^6\,d^{12}+4380\,a^6\,b^4\,c^4\,d^{14}+3444\,a^6\,b^4\,c^2\,d^{16}-180\,a^6\,b^4\,d^{18}+2496\,a^5\,b^5\,c^9\,d^9-3696\,a^5\,b^5\,c^7\,d^{11}-11812\,a^5\,b^5\,c^5\,d^{13}-2552\,a^5\,b^5\,c^3\,d^{15}+3068\,a^5\,b^5\,c\,d^{17}-768\,a^4\,b^6\,c^{10}\,d^8+6664\,a^4\,b^6\,c^8\,d^{10}+7450\,a^4\,b^6\,c^6\,d^{12}-7286\,a^4\,b^6\,c^4\,d^{14}-6426\,a^4\,b^6\,c^2\,d^{16}+878\,a^4\,b^6\,d^{18}-3200\,a^3\,b^7\,c^9\,d^9+2192\,a^3\,b^7\,c^7\,d^{11}+11320\,a^3\,b^7\,c^5\,d^{13}+3264\,a^3\,b^7\,c^3\,d^{15}-2664\,a^3\,b^7\,c\,d^{17}+256\,a^2\,b^8\,c^{10}\,d^8-3384\,a^2\,b^8\,c^8\,d^{10}-4500\,a^2\,b^8\,c^6\,d^{12}+2204\,a^2\,b^8\,c^4\,d^{14}+3092\,a^2\,b^8\,c^2\,d^{16}+28\,a^2\,b^8\,d^{18}+448\,a\,b^9\,c^9\,d^9-720\,a\,b^9\,c^7\,d^{11}-2846\,a\,b^9\,c^5\,d^{13}-1740\,a\,b^9\,c^3\,d^{15}-62\,a\,b^9\,c\,d^{17}+216\,b^{10}\,c^8\,d^{10}+391\,b^{10}\,c^6\,d^{12}+119\,b^{10}\,c^4\,d^{14}-71\,b^{10}\,c^2\,d^{16}-15\,b^{10}\,d^{18}}{a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(c^6+3\,c^4\,d^2+3\,c^2\,d^4+d^6\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,2{}\mathrm{i}+\frac{\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(5\,a^3\,d^3-13\,a^2\,b\,c\,d^2+8\,a\,b^2\,c^2\,d-3\,a\,b^2\,d^3+3\,b^3\,c\,d^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{b\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(-3\,a^2\,d^2+8\,c\,a\,b\,d+5\,b^2\,d^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{a^2\,d^2\,f-\left(2\,b^2\,c\,f-2\,a\,b\,d\,f\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+b^2\,c^2\,f+b^2\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-2\,a\,b\,c\,d\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}-\frac{\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}+\frac{\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{64\,\left(a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4\right)\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}\,1{}\mathrm{i}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}+\frac{\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}-\frac{\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{64\,\left(a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4\right)\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}\,1{}\mathrm{i}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}}{\frac{18\,a^9\,b\,c^5\,d^{13}+36\,a^9\,b\,c^3\,d^{15}+18\,a^9\,b\,c\,d^{17}-297\,a^8\,b^2\,c^6\,d^{12}-585\,a^8\,b^2\,c^4\,d^{14}-279\,a^8\,b^2\,c^2\,d^{16}+9\,a^8\,b^2\,d^{18}+1584\,a^7\,b^3\,c^7\,d^{11}+2712\,a^7\,b^3\,c^5\,d^{13}+672\,a^7\,b^3\,c^3\,d^{15}-456\,a^7\,b^3\,c\,d^{17}-3048\,a^6\,b^4\,c^8\,d^{10}-2292\,a^6\,b^4\,c^6\,d^{12}+4380\,a^6\,b^4\,c^4\,d^{14}+3444\,a^6\,b^4\,c^2\,d^{16}-180\,a^6\,b^4\,d^{18}+2496\,a^5\,b^5\,c^9\,d^9-3696\,a^5\,b^5\,c^7\,d^{11}-11812\,a^5\,b^5\,c^5\,d^{13}-2552\,a^5\,b^5\,c^3\,d^{15}+3068\,a^5\,b^5\,c\,d^{17}-768\,a^4\,b^6\,c^{10}\,d^8+6664\,a^4\,b^6\,c^8\,d^{10}+7450\,a^4\,b^6\,c^6\,d^{12}-7286\,a^4\,b^6\,c^4\,d^{14}-6426\,a^4\,b^6\,c^2\,d^{16}+878\,a^4\,b^6\,d^{18}-3200\,a^3\,b^7\,c^9\,d^9+2192\,a^3\,b^7\,c^7\,d^{11}+11320\,a^3\,b^7\,c^5\,d^{13}+3264\,a^3\,b^7\,c^3\,d^{15}-2664\,a^3\,b^7\,c\,d^{17}+256\,a^2\,b^8\,c^{10}\,d^8-3384\,a^2\,b^8\,c^8\,d^{10}-4500\,a^2\,b^8\,c^6\,d^{12}+2204\,a^2\,b^8\,c^4\,d^{14}+3092\,a^2\,b^8\,c^2\,d^{16}+28\,a^2\,b^8\,d^{18}+448\,a\,b^9\,c^9\,d^9-720\,a\,b^9\,c^7\,d^{11}-2846\,a\,b^9\,c^5\,d^{13}-1740\,a\,b^9\,c^3\,d^{15}-62\,a\,b^9\,c\,d^{17}+216\,b^{10}\,c^8\,d^{10}+391\,b^{10}\,c^6\,d^{12}+119\,b^{10}\,c^4\,d^{14}-71\,b^{10}\,c^2\,d^{16}-15\,b^{10}\,d^{18}}{a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}-\frac{\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}+\frac{\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{64\,\left(a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4\right)\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}+\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(9\,a^{12}\,b\,c^4\,d^{12}-54\,a^{12}\,b\,c^2\,d^{14}+9\,a^{12}\,b\,d^{16}-144\,a^{11}\,b^2\,c^5\,d^{11}+1008\,a^{11}\,b^2\,c^3\,d^{13}-288\,a^{11}\,b^2\,c\,d^{15}+720\,a^{10}\,b^3\,c^6\,d^{10}-6834\,a^{10}\,b^3\,c^4\,d^{12}+4284\,a^{10}\,b^3\,c^2\,d^{14}-210\,a^{10}\,b^3\,d^{16}-1152\,a^9\,b^4\,c^7\,d^9+20784\,a^9\,b^4\,c^5\,d^{11}-29424\,a^9\,b^4\,c^3\,d^{13}+4992\,a^9\,b^4\,c\,d^{15}+608\,a^8\,b^5\,c^8\,d^8-29296\,a^8\,b^5\,c^6\,d^{10}+92167\,a^8\,b^5\,c^4\,d^{12}-43354\,a^8\,b^5\,c^2\,d^{14}+1671\,a^8\,b^5\,d^{16}+18432\,a^7\,b^6\,c^7\,d^9-138784\,a^7\,b^6\,c^5\,d^{11}+153568\,a^7\,b^6\,c^3\,d^{13}-24896\,a^7\,b^6\,c\,d^{15}-3712\,a^6\,b^7\,c^8\,d^8+101024\,a^6\,b^7\,c^6\,d^{10}-255292\,a^6\,b^7\,c^4\,d^{12}+108936\,a^6\,b^7\,c^2\,d^{14}-4348\,a^6\,b^7\,d^{16}-30976\,a^5\,b^8\,c^7\,d^9+210144\,a^5\,b^8\,c^5\,d^{11}-205664\,a^5\,b^8\,c^3\,d^{13}+28672\,a^5\,b^8\,c\,d^{15}+3136\,a^4\,b^9\,c^8\,d^8-80224\,a^4\,b^9\,c^6\,d^{10}+189607\,a^4\,b^9\,c^4\,d^{12}-64714\,a^4\,b^9\,c^2\,d^{14}+1831\,a^4\,b^9\,d^{16}+13312\,a^3\,b^{10}\,c^7\,d^9-83024\,a^3\,b^{10}\,c^5\,d^{11}+66096\,a^3\,b^{10}\,c^3\,d^{13}-6304\,a^3\,b^{10}\,c\,d^{15}-640\,a^2\,b^{11}\,c^8\,d^8+17808\,a^2\,b^{11}\,c^6\,d^{10}-28978\,a^2\,b^{11}\,c^4\,d^{12}+8060\,a^2\,b^{11}\,c^2\,d^{14}-82\,a^2\,b^{11}\,d^{16}-1664\,a\,b^{12}\,c^7\,d^9+5872\,a\,b^{12}\,c^5\,d^{11}-2992\,a\,b^{12}\,c^3\,d^{13}+384\,a\,b^{12}\,c\,d^{15}+96\,b^{13}\,c^8\,d^8-304\,b^{13}\,c^6\,d^{10}+553\,b^{13}\,c^4\,d^{12}+26\,b^{13}\,c^2\,d^{14}+41\,b^{13}\,d^{16}\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}+\frac{\left(\frac{-36\,a^{15}\,b\,c^2\,d^{13}\,f^2-36\,a^{15}\,b\,d^{15}\,f^2+128\,a^{14}\,b^2\,c^5\,d^{10}\,f^2+1012\,a^{14}\,b^2\,c^3\,d^{12}\,f^2+884\,a^{14}\,b^2\,c\,d^{14}\,f^2-192\,a^{13}\,b^3\,c^6\,d^9\,f^2-6080\,a^{13}\,b^3\,c^4\,d^{11}\,f^2-4876\,a^{13}\,b^3\,c^2\,d^{13}\,f^2+1012\,a^{13}\,b^3\,d^{15}\,f^2+64\,a^{12}\,b^4\,c^7\,d^8\,f^2+19648\,a^{12}\,b^4\,c^5\,d^{10}\,f^2+6428\,a^{12}\,b^4\,c^3\,d^{12}\,f^2-13156\,a^{12}\,b^4\,c\,d^{14}\,f^2-24960\,a^{11}\,b^5\,c^6\,d^9\,f^2+37632\,a^{11}\,b^5\,c^4\,d^{11}\,f^2+55916\,a^{11}\,b^5\,c^2\,d^{13}\,f^2-6676\,a^{11}\,b^5\,d^{15}\,f^2+10368\,a^{10}\,b^6\,c^7\,d^8\,f^2-80512\,a^{10}\,b^6\,c^5\,d^{10}\,f^2-35356\,a^{10}\,b^6\,c^3\,d^{12}\,f^2+55524\,a^{10}\,b^6\,c\,d^{14}\,f^2+36800\,a^9\,b^7\,c^6\,d^9\,f^2-24768\,a^9\,b^7\,c^4\,d^{11}\,f^2-50972\,a^9\,b^7\,c^2\,d^{13}\,f^2+10596\,a^9\,b^7\,d^{15}\,f^2+3776\,a^8\,b^8\,c^7\,d^8\,f^2-49728\,a^8\,b^8\,c^5\,d^{10}\,f^2-4308\,a^8\,b^8\,c^3\,d^{12}\,f^2+49196\,a^8\,b^8\,c\,d^{14}\,f^2+85760\,a^7\,b^9\,c^6\,d^9\,f^2-119808\,a^7\,b^9\,c^4\,d^{11}\,f^2-171180\,a^7\,b^9\,c^2\,d^{13}\,f^2+34388\,a^7\,b^9\,d^{15}\,f^2-17664\,a^6\,b^{10}\,c^7\,d^8\,f^2+169344\,a^6\,b^{10}\,c^5\,d^{10}\,f^2+85404\,a^6\,b^{10}\,c^3\,d^{12}\,f^2-101604\,a^6\,b^{10}\,c\,d^{14}\,f^2-30016\,a^5\,b^{11}\,c^6\,d^9\,f^2+10944\,a^5\,b^{11}\,c^4\,d^{11}\,f^2+47004\,a^5\,b^{11}\,c^2\,d^{13}\,f^2+6044\,a^5\,b^{11}\,d^{15}\,f^2-5696\,a^4\,b^{12}\,c^7\,d^8\,f^2+69696\,a^4\,b^{12}\,c^5\,d^{10}\,f^2+17172\,a^4\,b^{12}\,c^3\,d^{12}\,f^2-58220\,a^4\,b^{12}\,c\,d^{14}\,f^2-46464\,a^3\,b^{13}\,c^6\,d^9\,f^2+57600\,a^3\,b^{13}\,c^4\,d^{11}\,f^2+95076\,a^3\,b^{13}\,c^2\,d^{13}\,f^2-8988\,a^3\,b^{13}\,d^{15}\,f^2+5248\,a^2\,b^{14}\,c^7\,d^8\,f^2-48000\,a^2\,b^{14}\,c^5\,d^{10}\,f^2-30836\,a^2\,b^{14}\,c^3\,d^{12}\,f^2+22412\,a^2\,b^{14}\,c\,d^{14}\,f^2+7744\,a\,b^{15}\,c^6\,d^9\,f^2-4672\,a\,b^{15}\,c^4\,d^{11}\,f^2-11380\,a\,b^{15}\,c^2\,d^{13}\,f^2+1036\,a\,b^{15}\,d^{15}\,f^2-192\,b^{16}\,c^7\,d^8\,f^2+1344\,b^{16}\,c^5\,d^{10}\,f^2+932\,b^{16}\,c^3\,d^{12}\,f^2-604\,b^{16}\,c\,d^{14}\,f^2}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}-\frac{\left(\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-36\,a^{18}\,b\,c\,d^{12}\,f^2-64\,a^{17}\,b^2\,c^4\,d^9\,f^2+960\,a^{17}\,b^2\,c^2\,d^{11}\,f^2+8\,a^{17}\,b^2\,d^{13}\,f^2+64\,a^{16}\,b^3\,c^5\,d^8\,f^2-4288\,a^{16}\,b^3\,c^3\,d^{10}\,f^2+452\,a^{16}\,b^3\,c\,d^{12}\,f^2+5632\,a^{15}\,b^4\,c^4\,d^9\,f^2+512\,a^{15}\,b^4\,c^2\,d^{11}\,f^2-960\,a^{15}\,b^4\,d^{13}\,f^2-2560\,a^{14}\,b^5\,c^5\,d^8\,f^2-9600\,a^{14}\,b^5\,c^3\,d^{10}\,f^2+12208\,a^{14}\,b^5\,c\,d^{12}\,f^2+11008\,a^{13}\,b^6\,c^4\,d^9\,f^2-26368\,a^{13}\,b^6\,c^2\,d^{11}\,f^2+3808\,a^{13}\,b^6\,d^{13}\,f^2-3840\,a^{12}\,b^7\,c^5\,d^8\,f^2-1408\,a^{12}\,b^7\,c^3\,d^{10}\,f^2+16016\,a^{12}\,b^7\,c\,d^{12}\,f^2+9728\,a^{11}\,b^8\,c^4\,d^9\,f^2-74240\,a^{11}\,b^8\,c^2\,d^{11}\,f^2+18880\,a^{11}\,b^8\,d^{13}\,f^2+5632\,a^{10}\,b^9\,c^5\,d^8\,f^2+18560\,a^{10}\,b^9\,c^3\,d^{10}\,f^2-36216\,a^{10}\,b^9\,c\,d^{12}\,f^2+35968\,a^9\,b^{10}\,c^4\,d^9\,f^2-57728\,a^9\,b^{10}\,c^2\,d^{11}\,f^2+19504\,a^9\,b^{10}\,d^{13}\,f^2+8064\,a^8\,b^{11}\,c^5\,d^8\,f^2+45312\,a^8\,b^{11}\,c^3\,d^{10}\,f^2-79368\,a^8\,b^{11}\,c\,d^{12}\,f^2+66048\,a^7\,b^{12}\,c^4\,d^9\,f^2+19968\,a^7\,b^{12}\,c^2\,d^{11}\,f^2-576\,a^7\,b^{12}\,d^{13}\,f^2-7680\,a^6\,b^{13}\,c^5\,d^8\,f^2+63360\,a^6\,b^{13}\,c^3\,d^{10}\,f^2-33936\,a^6\,b^{13}\,c\,d^{12}\,f^2+34560\,a^5\,b^{14}\,c^4\,d^9\,f^2+43264\,a^5\,b^{14}\,c^2\,d^{11}\,f^2-7456\,a^5\,b^{14}\,d^{13}\,f^2-13056\,a^4\,b^{15}\,c^5\,d^8\,f^2+43392\,a^4\,b^{15}\,c^3\,d^{10}\,f^2+14416\,a^4\,b^{15}\,c\,d^{12}\,f^2-7680\,a^3\,b^{16}\,c^4\,d^9\,f^2+12800\,a^3\,b^{16}\,c^2\,d^{11}\,f^2+64\,a^3\,b^{16}\,d^{13}\,f^2-3584\,a^2\,b^{17}\,c^5\,d^8\,f^2+9600\,a^2\,b^{17}\,c^3\,d^{10}\,f^2+8828\,a^2\,b^{17}\,c\,d^{12}\,f^2-7744\,a\,b^{18}\,c^4\,d^9\,f^2-1088\,a\,b^{18}\,c^2\,d^{11}\,f^2+1544\,a\,b^{18}\,d^{13}\,f^2+576\,b^{19}\,c^5\,d^8\,f^2-1088\,b^{19}\,c^3\,d^{10}\,f^2-668\,b^{19}\,c\,d^{12}\,f^2\right)}{a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4}-\frac{\left(\frac{-256\,a^{20}\,b^2\,c^2\,d^{10}\,f^4-256\,a^{20}\,b^2\,d^{12}\,f^4+1536\,a^{19}\,b^3\,c^3\,d^9\,f^4+1536\,a^{19}\,b^3\,c\,d^{11}\,f^4-1280\,a^{18}\,b^4\,c^4\,d^8\,f^4-896\,a^{18}\,b^4\,c^2\,d^{10}\,f^4+384\,a^{18}\,b^4\,d^{12}\,f^4+8704\,a^{17}\,b^5\,c^3\,d^9\,f^4+8704\,a^{17}\,b^5\,c\,d^{11}\,f^4-9472\,a^{16}\,b^6\,c^4\,d^8\,f^4+2432\,a^{16}\,b^6\,c^2\,d^{10}\,f^4+11904\,a^{16}\,b^6\,d^{12}\,f^4+14336\,a^{15}\,b^7\,c^3\,d^9\,f^4+14336\,a^{15}\,b^7\,c\,d^{11}\,f^4-29696\,a^{14}\,b^8\,c^4\,d^8\,f^4+20992\,a^{14}\,b^8\,c^2\,d^{10}\,f^4+50688\,a^{14}\,b^8\,d^{12}\,f^4-14336\,a^{13}\,b^9\,c^3\,d^9\,f^4-14336\,a^{13}\,b^9\,c\,d^{11}\,f^4-50176\,a^{12}\,b^{10}\,c^4\,d^8\,f^4+57344\,a^{12}\,b^{10}\,c^2\,d^{10}\,f^4+107520\,a^{12}\,b^{10}\,d^{12}\,f^4-93184\,a^{11}\,b^{11}\,c^3\,d^9\,f^4-93184\,a^{11}\,b^{11}\,c\,d^{11}\,f^4-46592\,a^{10}\,b^{12}\,c^4\,d^8\,f^4+87808\,a^{10}\,b^{12}\,c^2\,d^{10}\,f^4+134400\,a^{10}\,b^{12}\,d^{12}\,f^4-164864\,a^9\,b^{13}\,c^3\,d^9\,f^4-164864\,a^9\,b^{13}\,c\,d^{11}\,f^4-17920\,a^8\,b^{14}\,c^4\,d^8\,f^4+84224\,a^8\,b^{14}\,c^2\,d^{10}\,f^4+102144\,a^8\,b^{14}\,d^{12}\,f^4-157696\,a^7\,b^{15}\,c^3\,d^9\,f^4-157696\,a^7\,b^{15}\,c\,d^{11}\,f^4+7168\,a^6\,b^{16}\,c^4\,d^8\,f^4+51712\,a^6\,b^{16}\,c^2\,d^{10}\,f^4+44544\,a^6\,b^{16}\,d^{12}\,f^4-88064\,a^5\,b^{17}\,c^3\,d^9\,f^4-88064\,a^5\,b^{17}\,c\,d^{11}\,f^4+11264\,a^4\,b^{18}\,c^4\,d^8\,f^4+19712\,a^4\,b^{18}\,c^2\,d^{10}\,f^4+8448\,a^4\,b^{18}\,d^{12}\,f^4-27136\,a^3\,b^{19}\,c^3\,d^9\,f^4-27136\,a^3\,b^{19}\,c\,d^{11}\,f^4+4864\,a^2\,b^{20}\,c^4\,d^8\,f^4+4224\,a^2\,b^{20}\,c^2\,d^{10}\,f^4-640\,a^2\,b^{20}\,d^{12}\,f^4-3584\,a\,b^{21}\,c^3\,d^9\,f^4-3584\,a\,b^{21}\,c\,d^{11}\,f^4+768\,b^{22}\,c^4\,d^8\,f^4+384\,b^{22}\,c^2\,d^{10}\,f^4-384\,b^{22}\,d^{12}\,f^4}{2\,\left(a^{16}\,f^5+8\,a^{14}\,b^2\,f^5+28\,a^{12}\,b^4\,f^5+56\,a^{10}\,b^6\,f^5+70\,a^8\,b^8\,f^5+56\,a^6\,b^{10}\,f^5+28\,a^4\,b^{12}\,f^5+8\,a^2\,b^{14}\,f^5+b^{16}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}\,\left(256\,a^{23}\,b^2\,c\,d^9\,f^4-256\,a^{22}\,b^3\,c^2\,d^8\,f^4-512\,a^{22}\,b^3\,d^{10}\,f^4+2816\,a^{21}\,b^4\,c\,d^9\,f^4-1792\,a^{20}\,b^5\,c^2\,d^8\,f^4-4608\,a^{20}\,b^5\,d^{10}\,f^4+14080\,a^{19}\,b^6\,c\,d^9\,f^4-3840\,a^{18}\,b^7\,c^2\,d^8\,f^4-17920\,a^{18}\,b^7\,d^{10}\,f^4+42240\,a^{17}\,b^8\,c\,d^9\,f^4+3840\,a^{16}\,b^9\,c^2\,d^8\,f^4-38400\,a^{16}\,b^9\,d^{10}\,f^4+84480\,a^{15}\,b^{10}\,c\,d^9\,f^4+38400\,a^{14}\,b^{11}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{11}\,d^{10}\,f^4+118272\,a^{13}\,b^{12}\,c\,d^9\,f^4+96768\,a^{12}\,b^{13}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{13}\,d^{10}\,f^4+118272\,a^{11}\,b^{14}\,c\,d^9\,f^4+139776\,a^{10}\,b^{15}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{15}\,d^{10}\,f^4+84480\,a^9\,b^{16}\,c\,d^9\,f^4+130560\,a^8\,b^{17}\,c^2\,d^8\,f^4+46080\,a^8\,b^{17}\,d^{10}\,f^4+42240\,a^7\,b^{18}\,c\,d^9\,f^4+80640\,a^6\,b^{19}\,c^2\,d^8\,f^4+38400\,a^6\,b^{19}\,d^{10}\,f^4+14080\,a^5\,b^{20}\,c\,d^9\,f^4+32000\,a^4\,b^{21}\,c^2\,d^8\,f^4+17920\,a^4\,b^{21}\,d^{10}\,f^4+2816\,a^3\,b^{22}\,c\,d^9\,f^4+7424\,a^2\,b^{23}\,c^2\,d^8\,f^4+4608\,a^2\,b^{23}\,d^{10}\,f^4+256\,a\,b^{24}\,c\,d^9\,f^4+768\,b^{25}\,c^2\,d^8\,f^4+512\,b^{25}\,d^{10}\,f^4\right)}{64\,\left(a^{16}\,f^4+8\,a^{14}\,b^2\,f^4+28\,a^{12}\,b^4\,f^4+56\,a^{10}\,b^6\,f^4+70\,a^8\,b^8\,f^4+56\,a^6\,b^{10}\,f^4+28\,a^4\,b^{12}\,f^4+8\,a^2\,b^{14}\,f^4+b^{16}\,f^4\right)\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}}{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}}\right)\,\sqrt{64\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)\,\left(9\,a^8\,d^4-144\,a^7\,b\,c\,d^3+720\,a^6\,b^2\,c^2\,d^2-156\,a^6\,b^2\,d^4-1152\,a^5\,b^3\,c^3\,d+1488\,a^5\,b^3\,c\,d^3+576\,a^4\,b^4\,c^4-3216\,a^4\,b^4\,c^2\,d^2+694\,a^4\,b^4\,d^4+2304\,a^3\,b^5\,c^3\,d-2224\,a^3\,b^5\,c\,d^3-384\,a^2\,b^6\,c^4+2160\,a^2\,b^6\,c^2\,d^2-156\,a^2\,b^6\,d^4-640\,a\,b^7\,c^3\,d+240\,a\,b^7\,c\,d^3+64\,b^8\,c^4-48\,b^8\,c^2\,d^2+9\,b^8\,d^4\right)}\,1{}\mathrm{i}}{32\,\left(-d\,a^{13}\,b\,f^2+c\,a^{12}\,b^2\,f^2-6\,d\,a^{11}\,b^3\,f^2+6\,c\,a^{10}\,b^4\,f^2-15\,d\,a^9\,b^5\,f^2+15\,c\,a^8\,b^6\,f^2-20\,d\,a^7\,b^7\,f^2+20\,c\,a^6\,b^8\,f^2-15\,d\,a^5\,b^9\,f^2+15\,c\,a^4\,b^{10}\,f^2-6\,d\,a^3\,b^{11}\,f^2+6\,c\,a^2\,b^{12}\,f^2-d\,a\,b^{13}\,f^2+c\,b^{14}\,f^2\right)}","Not used",1,"(((c + d*tan(e + f*x))^(1/2)*(5*a^3*d^3 - 3*a*b^2*d^3 + 3*b^3*c*d^2 + 8*a*b^2*c^2*d - 13*a^2*b*c*d^2))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (b*(c + d*tan(e + f*x))^(3/2)*(5*b^2*d^2 - 3*a^2*d^2 + 8*a*b*c*d))/(4*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d^2*f - (2*b^2*c*f - 2*a*b*d*f)*(c + d*tan(e + f*x)) + b^2*c^2*f + b^2*f*(c + d*tan(e + f*x))^2 - 2*a*b*c*d*f) - atan(((((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i - (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i)/((((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + (28*a^2*b^8*d^18 - 15*b^10*d^18 + 878*a^4*b^6*d^18 - 180*a^6*b^4*d^18 + 9*a^8*b^2*d^18 - 71*b^10*c^2*d^16 + 119*b^10*c^4*d^14 + 391*b^10*c^6*d^12 + 216*b^10*c^8*d^10 - 1740*a*b^9*c^3*d^15 - 2846*a*b^9*c^5*d^13 - 720*a*b^9*c^7*d^11 + 448*a*b^9*c^9*d^9 - 2664*a^3*b^7*c*d^17 + 3068*a^5*b^5*c*d^17 - 456*a^7*b^3*c*d^17 + 36*a^9*b*c^3*d^15 + 18*a^9*b*c^5*d^13 + 3092*a^2*b^8*c^2*d^16 + 2204*a^2*b^8*c^4*d^14 - 4500*a^2*b^8*c^6*d^12 - 3384*a^2*b^8*c^8*d^10 + 256*a^2*b^8*c^10*d^8 + 3264*a^3*b^7*c^3*d^15 + 11320*a^3*b^7*c^5*d^13 + 2192*a^3*b^7*c^7*d^11 - 3200*a^3*b^7*c^9*d^9 - 6426*a^4*b^6*c^2*d^16 - 7286*a^4*b^6*c^4*d^14 + 7450*a^4*b^6*c^6*d^12 + 6664*a^4*b^6*c^8*d^10 - 768*a^4*b^6*c^10*d^8 - 2552*a^5*b^5*c^3*d^15 - 11812*a^5*b^5*c^5*d^13 - 3696*a^5*b^5*c^7*d^11 + 2496*a^5*b^5*c^9*d^9 + 3444*a^6*b^4*c^2*d^16 + 4380*a^6*b^4*c^4*d^14 - 2292*a^6*b^4*c^6*d^12 - 3048*a^6*b^4*c^8*d^10 + 672*a^7*b^3*c^3*d^15 + 2712*a^7*b^3*c^5*d^13 + 1584*a^7*b^3*c^7*d^11 - 279*a^8*b^2*c^2*d^16 - 585*a^8*b^2*c^4*d^14 - 297*a^8*b^2*c^6*d^12 - 62*a*b^9*c*d^17 + 18*a^9*b*c*d^17)/(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*2i - atan(((((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i - (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i)/((((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + (28*a^2*b^8*d^18 - 15*b^10*d^18 + 878*a^4*b^6*d^18 - 180*a^6*b^4*d^18 + 9*a^8*b^2*d^18 - 71*b^10*c^2*d^16 + 119*b^10*c^4*d^14 + 391*b^10*c^6*d^12 + 216*b^10*c^8*d^10 - 1740*a*b^9*c^3*d^15 - 2846*a*b^9*c^5*d^13 - 720*a*b^9*c^7*d^11 + 448*a*b^9*c^9*d^9 - 2664*a^3*b^7*c*d^17 + 3068*a^5*b^5*c*d^17 - 456*a^7*b^3*c*d^17 + 36*a^9*b*c^3*d^15 + 18*a^9*b*c^5*d^13 + 3092*a^2*b^8*c^2*d^16 + 2204*a^2*b^8*c^4*d^14 - 4500*a^2*b^8*c^6*d^12 - 3384*a^2*b^8*c^8*d^10 + 256*a^2*b^8*c^10*d^8 + 3264*a^3*b^7*c^3*d^15 + 11320*a^3*b^7*c^5*d^13 + 2192*a^3*b^7*c^7*d^11 - 3200*a^3*b^7*c^9*d^9 - 6426*a^4*b^6*c^2*d^16 - 7286*a^4*b^6*c^4*d^14 + 7450*a^4*b^6*c^6*d^12 + 6664*a^4*b^6*c^8*d^10 - 768*a^4*b^6*c^10*d^8 - 2552*a^5*b^5*c^3*d^15 - 11812*a^5*b^5*c^5*d^13 - 3696*a^5*b^5*c^7*d^11 + 2496*a^5*b^5*c^9*d^9 + 3444*a^6*b^4*c^2*d^16 + 4380*a^6*b^4*c^4*d^14 - 2292*a^6*b^4*c^6*d^12 - 3048*a^6*b^4*c^8*d^10 + 672*a^7*b^3*c^3*d^15 + 2712*a^7*b^3*c^5*d^13 + 1584*a^7*b^3*c^7*d^11 - 279*a^8*b^2*c^2*d^16 - 585*a^8*b^2*c^4*d^14 - 297*a^8*b^2*c^6*d^12 - 62*a*b^9*c*d^17 + 18*a^9*b*c*d^17)/(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (c^6 + d^6 + 3*c^2*d^4 + 3*c^4*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*2i - (atan((((((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) - (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(64*(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4)*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2)*1i)/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)) + ((((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) + (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) - (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(64*(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4)*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2)*1i)/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))/((28*a^2*b^8*d^18 - 15*b^10*d^18 + 878*a^4*b^6*d^18 - 180*a^6*b^4*d^18 + 9*a^8*b^2*d^18 - 71*b^10*c^2*d^16 + 119*b^10*c^4*d^14 + 391*b^10*c^6*d^12 + 216*b^10*c^8*d^10 - 1740*a*b^9*c^3*d^15 - 2846*a*b^9*c^5*d^13 - 720*a*b^9*c^7*d^11 + 448*a*b^9*c^9*d^9 - 2664*a^3*b^7*c*d^17 + 3068*a^5*b^5*c*d^17 - 456*a^7*b^3*c*d^17 + 36*a^9*b*c^3*d^15 + 18*a^9*b*c^5*d^13 + 3092*a^2*b^8*c^2*d^16 + 2204*a^2*b^8*c^4*d^14 - 4500*a^2*b^8*c^6*d^12 - 3384*a^2*b^8*c^8*d^10 + 256*a^2*b^8*c^10*d^8 + 3264*a^3*b^7*c^3*d^15 + 11320*a^3*b^7*c^5*d^13 + 2192*a^3*b^7*c^7*d^11 - 3200*a^3*b^7*c^9*d^9 - 6426*a^4*b^6*c^2*d^16 - 7286*a^4*b^6*c^4*d^14 + 7450*a^4*b^6*c^6*d^12 + 6664*a^4*b^6*c^8*d^10 - 768*a^4*b^6*c^10*d^8 - 2552*a^5*b^5*c^3*d^15 - 11812*a^5*b^5*c^5*d^13 - 3696*a^5*b^5*c^7*d^11 + 2496*a^5*b^5*c^9*d^9 + 3444*a^6*b^4*c^2*d^16 + 4380*a^6*b^4*c^4*d^14 - 2292*a^6*b^4*c^6*d^12 - 3048*a^6*b^4*c^8*d^10 + 672*a^7*b^3*c^3*d^15 + 2712*a^7*b^3*c^5*d^13 + 1584*a^7*b^3*c^7*d^11 - 279*a^8*b^2*c^2*d^16 - 585*a^8*b^2*c^4*d^14 - 297*a^8*b^2*c^6*d^12 - 62*a*b^9*c*d^17 + 18*a^9*b*c*d^17)/(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5) - ((((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) - (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) + (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(64*(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4)*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)) + ((((c + d*tan(e + f*x))^(1/2)*(41*b^13*d^16 + 9*a^12*b*d^16 - 82*a^2*b^11*d^16 + 1831*a^4*b^9*d^16 - 4348*a^6*b^7*d^16 + 1671*a^8*b^5*d^16 - 210*a^10*b^3*d^16 + 26*b^13*c^2*d^14 + 553*b^13*c^4*d^12 - 304*b^13*c^6*d^10 + 96*b^13*c^8*d^8 - 2992*a*b^12*c^3*d^13 + 5872*a*b^12*c^5*d^11 - 1664*a*b^12*c^7*d^9 - 6304*a^3*b^10*c*d^15 + 28672*a^5*b^8*c*d^15 - 24896*a^7*b^6*c*d^15 + 4992*a^9*b^4*c*d^15 - 288*a^11*b^2*c*d^15 - 54*a^12*b*c^2*d^14 + 9*a^12*b*c^4*d^12 + 8060*a^2*b^11*c^2*d^14 - 28978*a^2*b^11*c^4*d^12 + 17808*a^2*b^11*c^6*d^10 - 640*a^2*b^11*c^8*d^8 + 66096*a^3*b^10*c^3*d^13 - 83024*a^3*b^10*c^5*d^11 + 13312*a^3*b^10*c^7*d^9 - 64714*a^4*b^9*c^2*d^14 + 189607*a^4*b^9*c^4*d^12 - 80224*a^4*b^9*c^6*d^10 + 3136*a^4*b^9*c^8*d^8 - 205664*a^5*b^8*c^3*d^13 + 210144*a^5*b^8*c^5*d^11 - 30976*a^5*b^8*c^7*d^9 + 108936*a^6*b^7*c^2*d^14 - 255292*a^6*b^7*c^4*d^12 + 101024*a^6*b^7*c^6*d^10 - 3712*a^6*b^7*c^8*d^8 + 153568*a^7*b^6*c^3*d^13 - 138784*a^7*b^6*c^5*d^11 + 18432*a^7*b^6*c^7*d^9 - 43354*a^8*b^5*c^2*d^14 + 92167*a^8*b^5*c^4*d^12 - 29296*a^8*b^5*c^6*d^10 + 608*a^8*b^5*c^8*d^8 - 29424*a^9*b^4*c^3*d^13 + 20784*a^9*b^4*c^5*d^11 - 1152*a^9*b^4*c^7*d^9 + 4284*a^10*b^3*c^2*d^14 - 6834*a^10*b^3*c^4*d^12 + 720*a^10*b^3*c^6*d^10 + 1008*a^11*b^2*c^3*d^13 - 144*a^11*b^2*c^5*d^11 + 384*a*b^12*c*d^15))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) + (((1036*a*b^15*d^15*f^2 - 36*a^15*b*d^15*f^2 - 604*b^16*c*d^14*f^2 - 8988*a^3*b^13*d^15*f^2 + 6044*a^5*b^11*d^15*f^2 + 34388*a^7*b^9*d^15*f^2 + 10596*a^9*b^7*d^15*f^2 - 6676*a^11*b^5*d^15*f^2 + 1012*a^13*b^3*d^15*f^2 + 932*b^16*c^3*d^12*f^2 + 1344*b^16*c^5*d^10*f^2 - 192*b^16*c^7*d^8*f^2 - 30836*a^2*b^14*c^3*d^12*f^2 - 48000*a^2*b^14*c^5*d^10*f^2 + 5248*a^2*b^14*c^7*d^8*f^2 + 95076*a^3*b^13*c^2*d^13*f^2 + 57600*a^3*b^13*c^4*d^11*f^2 - 46464*a^3*b^13*c^6*d^9*f^2 + 17172*a^4*b^12*c^3*d^12*f^2 + 69696*a^4*b^12*c^5*d^10*f^2 - 5696*a^4*b^12*c^7*d^8*f^2 + 47004*a^5*b^11*c^2*d^13*f^2 + 10944*a^5*b^11*c^4*d^11*f^2 - 30016*a^5*b^11*c^6*d^9*f^2 + 85404*a^6*b^10*c^3*d^12*f^2 + 169344*a^6*b^10*c^5*d^10*f^2 - 17664*a^6*b^10*c^7*d^8*f^2 - 171180*a^7*b^9*c^2*d^13*f^2 - 119808*a^7*b^9*c^4*d^11*f^2 + 85760*a^7*b^9*c^6*d^9*f^2 - 4308*a^8*b^8*c^3*d^12*f^2 - 49728*a^8*b^8*c^5*d^10*f^2 + 3776*a^8*b^8*c^7*d^8*f^2 - 50972*a^9*b^7*c^2*d^13*f^2 - 24768*a^9*b^7*c^4*d^11*f^2 + 36800*a^9*b^7*c^6*d^9*f^2 - 35356*a^10*b^6*c^3*d^12*f^2 - 80512*a^10*b^6*c^5*d^10*f^2 + 10368*a^10*b^6*c^7*d^8*f^2 + 55916*a^11*b^5*c^2*d^13*f^2 + 37632*a^11*b^5*c^4*d^11*f^2 - 24960*a^11*b^5*c^6*d^9*f^2 + 6428*a^12*b^4*c^3*d^12*f^2 + 19648*a^12*b^4*c^5*d^10*f^2 + 64*a^12*b^4*c^7*d^8*f^2 - 4876*a^13*b^3*c^2*d^13*f^2 - 6080*a^13*b^3*c^4*d^11*f^2 - 192*a^13*b^3*c^6*d^9*f^2 + 1012*a^14*b^2*c^3*d^12*f^2 + 128*a^14*b^2*c^5*d^10*f^2 - 11380*a*b^15*c^2*d^13*f^2 - 4672*a*b^15*c^4*d^11*f^2 + 7744*a*b^15*c^6*d^9*f^2 + 22412*a^2*b^14*c*d^14*f^2 - 58220*a^4*b^12*c*d^14*f^2 - 101604*a^6*b^10*c*d^14*f^2 + 49196*a^8*b^8*c*d^14*f^2 + 55524*a^10*b^6*c*d^14*f^2 - 13156*a^12*b^4*c*d^14*f^2 + 884*a^14*b^2*c*d^14*f^2 - 36*a^15*b*c^2*d^13*f^2)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) - ((((c + d*tan(e + f*x))^(1/2)*(1544*a*b^18*d^13*f^2 - 668*b^19*c*d^12*f^2 + 64*a^3*b^16*d^13*f^2 - 7456*a^5*b^14*d^13*f^2 - 576*a^7*b^12*d^13*f^2 + 19504*a^9*b^10*d^13*f^2 + 18880*a^11*b^8*d^13*f^2 + 3808*a^13*b^6*d^13*f^2 - 960*a^15*b^4*d^13*f^2 + 8*a^17*b^2*d^13*f^2 - 1088*b^19*c^3*d^10*f^2 + 576*b^19*c^5*d^8*f^2 + 9600*a^2*b^17*c^3*d^10*f^2 - 3584*a^2*b^17*c^5*d^8*f^2 + 12800*a^3*b^16*c^2*d^11*f^2 - 7680*a^3*b^16*c^4*d^9*f^2 + 43392*a^4*b^15*c^3*d^10*f^2 - 13056*a^4*b^15*c^5*d^8*f^2 + 43264*a^5*b^14*c^2*d^11*f^2 + 34560*a^5*b^14*c^4*d^9*f^2 + 63360*a^6*b^13*c^3*d^10*f^2 - 7680*a^6*b^13*c^5*d^8*f^2 + 19968*a^7*b^12*c^2*d^11*f^2 + 66048*a^7*b^12*c^4*d^9*f^2 + 45312*a^8*b^11*c^3*d^10*f^2 + 8064*a^8*b^11*c^5*d^8*f^2 - 57728*a^9*b^10*c^2*d^11*f^2 + 35968*a^9*b^10*c^4*d^9*f^2 + 18560*a^10*b^9*c^3*d^10*f^2 + 5632*a^10*b^9*c^5*d^8*f^2 - 74240*a^11*b^8*c^2*d^11*f^2 + 9728*a^11*b^8*c^4*d^9*f^2 - 1408*a^12*b^7*c^3*d^10*f^2 - 3840*a^12*b^7*c^5*d^8*f^2 - 26368*a^13*b^6*c^2*d^11*f^2 + 11008*a^13*b^6*c^4*d^9*f^2 - 9600*a^14*b^5*c^3*d^10*f^2 - 2560*a^14*b^5*c^5*d^8*f^2 + 512*a^15*b^4*c^2*d^11*f^2 + 5632*a^15*b^4*c^4*d^9*f^2 - 4288*a^16*b^3*c^3*d^10*f^2 + 64*a^16*b^3*c^5*d^8*f^2 + 960*a^17*b^2*c^2*d^11*f^2 - 64*a^17*b^2*c^4*d^9*f^2 - 36*a^18*b*c*d^12*f^2 - 1088*a*b^18*c^2*d^11*f^2 - 7744*a*b^18*c^4*d^9*f^2 + 8828*a^2*b^17*c*d^12*f^2 + 14416*a^4*b^15*c*d^12*f^2 - 33936*a^6*b^13*c*d^12*f^2 - 79368*a^8*b^11*c*d^12*f^2 - 36216*a^10*b^9*c*d^12*f^2 + 16016*a^12*b^7*c*d^12*f^2 + 12208*a^14*b^5*c*d^12*f^2 + 452*a^16*b^3*c*d^12*f^2))/(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4) - (((8448*a^4*b^18*d^12*f^4 - 640*a^2*b^20*d^12*f^4 - 384*b^22*d^12*f^4 + 44544*a^6*b^16*d^12*f^4 + 102144*a^8*b^14*d^12*f^4 + 134400*a^10*b^12*d^12*f^4 + 107520*a^12*b^10*d^12*f^4 + 50688*a^14*b^8*d^12*f^4 + 11904*a^16*b^6*d^12*f^4 + 384*a^18*b^4*d^12*f^4 - 256*a^20*b^2*d^12*f^4 + 384*b^22*c^2*d^10*f^4 + 768*b^22*c^4*d^8*f^4 + 4224*a^2*b^20*c^2*d^10*f^4 + 4864*a^2*b^20*c^4*d^8*f^4 - 27136*a^3*b^19*c^3*d^9*f^4 + 19712*a^4*b^18*c^2*d^10*f^4 + 11264*a^4*b^18*c^4*d^8*f^4 - 88064*a^5*b^17*c^3*d^9*f^4 + 51712*a^6*b^16*c^2*d^10*f^4 + 7168*a^6*b^16*c^4*d^8*f^4 - 157696*a^7*b^15*c^3*d^9*f^4 + 84224*a^8*b^14*c^2*d^10*f^4 - 17920*a^8*b^14*c^4*d^8*f^4 - 164864*a^9*b^13*c^3*d^9*f^4 + 87808*a^10*b^12*c^2*d^10*f^4 - 46592*a^10*b^12*c^4*d^8*f^4 - 93184*a^11*b^11*c^3*d^9*f^4 + 57344*a^12*b^10*c^2*d^10*f^4 - 50176*a^12*b^10*c^4*d^8*f^4 - 14336*a^13*b^9*c^3*d^9*f^4 + 20992*a^14*b^8*c^2*d^10*f^4 - 29696*a^14*b^8*c^4*d^8*f^4 + 14336*a^15*b^7*c^3*d^9*f^4 + 2432*a^16*b^6*c^2*d^10*f^4 - 9472*a^16*b^6*c^4*d^8*f^4 + 8704*a^17*b^5*c^3*d^9*f^4 - 896*a^18*b^4*c^2*d^10*f^4 - 1280*a^18*b^4*c^4*d^8*f^4 + 1536*a^19*b^3*c^3*d^9*f^4 - 256*a^20*b^2*c^2*d^10*f^4 - 3584*a*b^21*c*d^11*f^4 - 3584*a*b^21*c^3*d^9*f^4 - 27136*a^3*b^19*c*d^11*f^4 - 88064*a^5*b^17*c*d^11*f^4 - 157696*a^7*b^15*c*d^11*f^4 - 164864*a^9*b^13*c*d^11*f^4 - 93184*a^11*b^11*c*d^11*f^4 - 14336*a^13*b^9*c*d^11*f^4 + 14336*a^15*b^7*c*d^11*f^4 + 8704*a^17*b^5*c*d^11*f^4 + 1536*a^19*b^3*c*d^11*f^4)/(2*(a^16*f^5 + b^16*f^5 + 8*a^2*b^14*f^5 + 28*a^4*b^12*f^5 + 56*a^6*b^10*f^5 + 70*a^8*b^8*f^5 + 56*a^10*b^6*f^5 + 28*a^12*b^4*f^5 + 8*a^14*b^2*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2)*(512*b^25*d^10*f^4 + 4608*a^2*b^23*d^10*f^4 + 17920*a^4*b^21*d^10*f^4 + 38400*a^6*b^19*d^10*f^4 + 46080*a^8*b^17*d^10*f^4 + 21504*a^10*b^15*d^10*f^4 - 21504*a^12*b^13*d^10*f^4 - 46080*a^14*b^11*d^10*f^4 - 38400*a^16*b^9*d^10*f^4 - 17920*a^18*b^7*d^10*f^4 - 4608*a^20*b^5*d^10*f^4 - 512*a^22*b^3*d^10*f^4 + 768*b^25*c^2*d^8*f^4 + 7424*a^2*b^23*c^2*d^8*f^4 + 32000*a^4*b^21*c^2*d^8*f^4 + 80640*a^6*b^19*c^2*d^8*f^4 + 130560*a^8*b^17*c^2*d^8*f^4 + 139776*a^10*b^15*c^2*d^8*f^4 + 96768*a^12*b^13*c^2*d^8*f^4 + 38400*a^14*b^11*c^2*d^8*f^4 + 3840*a^16*b^9*c^2*d^8*f^4 - 3840*a^18*b^7*c^2*d^8*f^4 - 1792*a^20*b^5*c^2*d^8*f^4 - 256*a^22*b^3*c^2*d^8*f^4 + 256*a*b^24*c*d^9*f^4 + 2816*a^3*b^22*c*d^9*f^4 + 14080*a^5*b^20*c*d^9*f^4 + 42240*a^7*b^18*c*d^9*f^4 + 84480*a^9*b^16*c*d^9*f^4 + 118272*a^11*b^14*c*d^9*f^4 + 118272*a^13*b^12*c*d^9*f^4 + 84480*a^15*b^10*c*d^9*f^4 + 42240*a^17*b^8*c*d^9*f^4 + 14080*a^19*b^6*c*d^9*f^4 + 2816*a^21*b^4*c*d^9*f^4 + 256*a^23*b^2*c*d^9*f^4))/(64*(a^16*f^4 + b^16*f^4 + 8*a^2*b^14*f^4 + 28*a^4*b^12*f^4 + 56*a^6*b^10*f^4 + 70*a^8*b^8*f^4 + 56*a^10*b^6*f^4 + 28*a^12*b^4*f^4 + 8*a^14*b^2*f^4)*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2))/(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2))))*(64*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2)*(9*a^8*d^4 + 64*b^8*c^4 + 9*b^8*d^4 - 384*a^2*b^6*c^4 + 576*a^4*b^4*c^4 - 156*a^2*b^6*d^4 + 694*a^4*b^4*d^4 - 156*a^6*b^2*d^4 - 48*b^8*c^2*d^2 - 2224*a^3*b^5*c*d^3 + 2304*a^3*b^5*c^3*d + 1488*a^5*b^3*c*d^3 - 1152*a^5*b^3*c^3*d + 2160*a^2*b^6*c^2*d^2 - 3216*a^4*b^4*c^2*d^2 + 720*a^6*b^2*c^2*d^2 + 240*a*b^7*c*d^3 - 640*a*b^7*c^3*d - 144*a^7*b*c*d^3))^(1/2)*1i)/(32*(b^14*c*f^2 + 6*a^2*b^12*c*f^2 + 15*a^4*b^10*c*f^2 + 20*a^6*b^8*c*f^2 + 15*a^8*b^6*c*f^2 + 6*a^10*b^4*c*f^2 + a^12*b^2*c*f^2 - 6*a^3*b^11*d*f^2 - 15*a^5*b^9*d*f^2 - 20*a^7*b^7*d*f^2 - 15*a^9*b^5*d*f^2 - 6*a^11*b^3*d*f^2 - a*b^13*d*f^2 - a^13*b*d*f^2))","B"
1241,-1,-1,322,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^3*(c + d*tan(e + f*x))^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1242,1,23642,231,68.217894,"\text{Not used}","int((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^(5/2),x)","\left(\left(\frac{4\,b^2\,c-4\,a\,b\,d}{d\,f}-\frac{4\,b^2\,c}{d\,f}\right)\,\left(c^2+d^2\right)-2\,c\,\left(2\,c\,\left(\frac{4\,b^2\,c-4\,a\,b\,d}{d\,f}-\frac{4\,b^2\,c}{d\,f}\right)-\frac{2\,{\left(a\,d-b\,c\right)}^2}{d\,f}+\frac{2\,b^2\,\left(c^2+d^2\right)}{d\,f}\right)\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(\frac{2\,c\,\left(\frac{4\,b^2\,c-4\,a\,b\,d}{d\,f}-\frac{4\,b^2\,c}{d\,f}\right)}{3}-\frac{2\,{\left(a\,d-b\,c\right)}^2}{3\,d\,f}+\frac{2\,b^2\,\left(c^2+d^2\right)}{3\,d\,f}\right)-\left(\frac{4\,b^2\,c-4\,a\,b\,d}{5\,d\,f}-\frac{4\,b^2\,c}{5\,d\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}+\frac{2\,b^2\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{7\,d\,f}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\frac{16\,\left(-3\,a^6\,c^8\,d^3-8\,a^6\,c^6\,d^5-6\,a^6\,c^4\,d^7+a^6\,d^{11}-2\,a^5\,b\,c^9\,d^2+12\,a^5\,b\,c^5\,d^6+16\,a^5\,b\,c^3\,d^8+6\,a^5\,b\,c\,d^{10}-3\,a^4\,b^2\,c^8\,d^3-8\,a^4\,b^2\,c^6\,d^5-6\,a^4\,b^2\,c^4\,d^7+a^4\,b^2\,d^{11}-4\,a^3\,b^3\,c^9\,d^2+24\,a^3\,b^3\,c^5\,d^6+32\,a^3\,b^3\,c^3\,d^8+12\,a^3\,b^3\,c\,d^{10}+3\,a^2\,b^4\,c^8\,d^3+8\,a^2\,b^4\,c^6\,d^5+6\,a^2\,b^4\,c^4\,d^7-a^2\,b^4\,d^{11}-2\,a\,b^5\,c^9\,d^2+12\,a\,b^5\,c^5\,d^6+16\,a\,b^5\,c^3\,d^8+6\,a\,b^5\,c\,d^{10}+3\,b^6\,c^8\,d^3+8\,b^6\,c^6\,d^5+6\,b^6\,c^4\,d^7-b^6\,d^{11}\right)}{f^3}+\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}+\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}+a^4\,c^5\,f^2+b^4\,c^5\,f^2+4\,a\,b^3\,d^5\,f^2-4\,a^3\,b\,d^5\,f^2+5\,a^4\,c\,d^4\,f^2+5\,b^4\,c\,d^4\,f^2-6\,a^2\,b^2\,c^5\,f^2-10\,a^4\,c^3\,d^2\,f^2-10\,b^4\,c^3\,d^2\,f^2+60\,a^2\,b^2\,c^3\,d^2\,f^2+20\,a\,b^3\,c^4\,d\,f^2-20\,a^3\,b\,c^4\,d\,f^2-40\,a\,b^3\,c^2\,d^3\,f^2-30\,a^2\,b^2\,c\,d^4\,f^2+40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\,1{}\mathrm{i}}{\frac{16\,\left(-3\,a^6\,c^8\,d^3-8\,a^6\,c^6\,d^5-6\,a^6\,c^4\,d^7+a^6\,d^{11}-2\,a^5\,b\,c^9\,d^2+12\,a^5\,b\,c^5\,d^6+16\,a^5\,b\,c^3\,d^8+6\,a^5\,b\,c\,d^{10}-3\,a^4\,b^2\,c^8\,d^3-8\,a^4\,b^2\,c^6\,d^5-6\,a^4\,b^2\,c^4\,d^7+a^4\,b^2\,d^{11}-4\,a^3\,b^3\,c^9\,d^2+24\,a^3\,b^3\,c^5\,d^6+32\,a^3\,b^3\,c^3\,d^8+12\,a^3\,b^3\,c\,d^{10}+3\,a^2\,b^4\,c^8\,d^3+8\,a^2\,b^4\,c^6\,d^5+6\,a^2\,b^4\,c^4\,d^7-a^2\,b^4\,d^{11}-2\,a\,b^5\,c^9\,d^2+12\,a\,b^5\,c^5\,d^6+16\,a\,b^5\,c^3\,d^8+6\,a\,b^5\,c\,d^{10}+3\,b^6\,c^8\,d^3+8\,b^6\,c^6\,d^5+6\,b^6\,c^4\,d^7-b^6\,d^{11}\right)}{f^3}+\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}+\left(\left(\frac{8\,\left(8\,a^2\,c^3\,d^3\,f^2+8\,a^2\,c\,d^5\,f^2+8\,a\,b\,c^4\,d^2\,f^2-8\,a\,b\,d^6\,f^2-8\,b^2\,c^3\,d^3\,f^2-8\,b^2\,c\,d^5\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,c^6\,d^2+15\,a^4\,c^4\,d^4-15\,a^4\,c^2\,d^6+a^4\,d^8+24\,a^3\,b\,c^5\,d^3-80\,a^3\,b\,c^3\,d^5+24\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^6\,d^2-90\,a^2\,b^2\,c^4\,d^4+90\,a^2\,b^2\,c^2\,d^6-6\,a^2\,b^2\,d^8-24\,a\,b^3\,c^5\,d^3+80\,a\,b^3\,c^3\,d^5-24\,a\,b^3\,c\,d^7-b^4\,c^6\,d^2+15\,b^4\,c^4\,d^4-15\,b^4\,c^2\,d^6+b^4\,d^8\right)}{f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2-160\,a^3\,b\,c^4\,d\,f^2+320\,a^3\,b\,c^2\,d^3\,f^2-32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2+160\,a\,b^3\,c^4\,d\,f^2-320\,a\,b^3\,c^2\,d^3\,f^2+32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{64}-f^4\,\left(a^8\,c^{10}+5\,a^8\,c^8\,d^2+10\,a^8\,c^6\,d^4+10\,a^8\,c^4\,d^6+5\,a^8\,c^2\,d^8+a^8\,d^{10}+4\,a^6\,b^2\,c^{10}+20\,a^6\,b^2\,c^8\,d^2+40\,a^6\,b^2\,c^6\,d^4+40\,a^6\,b^2\,c^4\,d^6+20\,a^6\,b^2\,c^2\,d^8+4\,a^6\,b^2\,d^{10}+6\,a^4\,b^4\,c^{10}+30\,a^4\,b^4\,c^8\,d^2+60\,a^4\,b^4\,c^6\,d^4+60\,a^4\,b^4\,c^4\,d^6+30\,a^4\,b^4\,c^2\,d^8+6\,a^4\,b^4\,d^{10}+4\,a^2\,b^6\,c^{10}+20\,a^2\,b^6\,c^8\,d^2+40\,a^2\,b^6\,c^6\,d^4+40\,a^2\,b^6\,c^4\,d^6+20\,a^2\,b^6\,c^2\,d^8+4\,a^2\,b^6\,d^{10}+b^8\,c^{10}+5\,b^8\,c^8\,d^2+10\,b^8\,c^6\,d^4+10\,b^8\,c^4\,d^6+5\,b^8\,c^2\,d^8+b^8\,d^{10}\right)}-a^4\,c^5\,f^2-b^4\,c^5\,f^2-4\,a\,b^3\,d^5\,f^2+4\,a^3\,b\,d^5\,f^2-5\,a^4\,c\,d^4\,f^2-5\,b^4\,c\,d^4\,f^2+6\,a^2\,b^2\,c^5\,f^2+10\,a^4\,c^3\,d^2\,f^2+10\,b^4\,c^3\,d^2\,f^2-60\,a^2\,b^2\,c^3\,d^2\,f^2-20\,a\,b^3\,c^4\,d\,f^2+20\,a^3\,b\,c^4\,d\,f^2+40\,a\,b^3\,c^2\,d^3\,f^2+30\,a^2\,b^2\,c\,d^4\,f^2-40\,a^3\,b\,c^2\,d^3\,f^2}{4\,f^4}}\,2{}\mathrm{i}","Not used",1,"(((4*b^2*c - 4*a*b*d)/(d*f) - (4*b^2*c)/(d*f))*(c^2 + d^2) - 2*c*(2*c*((4*b^2*c - 4*a*b*d)/(d*f) - (4*b^2*c)/(d*f)) - (2*(a*d - b*c)^2)/(d*f) + (2*b^2*(c^2 + d^2))/(d*f)))*(c + d*tan(e + f*x))^(1/2) - (c + d*tan(e + f*x))^(3/2)*((2*c*((4*b^2*c - 4*a*b*d)/(d*f) - (4*b^2*c)/(d*f)))/3 - (2*(a*d - b*c)^2)/(3*d*f) + (2*b^2*(c^2 + d^2))/(3*d*f)) - ((4*b^2*c - 4*a*b*d)/(5*d*f) - (4*b^2*c)/(5*d*f))*(c + d*tan(e + f*x))^(5/2) - atan(((((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)*1i - (((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)*1i)/((16*(a^6*d^11 - b^6*d^11 - a^2*b^4*d^11 + a^4*b^2*d^11 - 6*a^6*c^4*d^7 - 8*a^6*c^6*d^5 - 3*a^6*c^8*d^3 + 6*b^6*c^4*d^7 + 8*b^6*c^6*d^5 + 3*b^6*c^8*d^3 + 16*a*b^5*c^3*d^8 + 12*a*b^5*c^5*d^6 - 2*a*b^5*c^9*d^2 + 12*a^3*b^3*c*d^10 + 16*a^5*b*c^3*d^8 + 12*a^5*b*c^5*d^6 - 2*a^5*b*c^9*d^2 + 6*a^2*b^4*c^4*d^7 + 8*a^2*b^4*c^6*d^5 + 3*a^2*b^4*c^8*d^3 + 32*a^3*b^3*c^3*d^8 + 24*a^3*b^3*c^5*d^6 - 4*a^3*b^3*c^9*d^2 - 6*a^4*b^2*c^4*d^7 - 8*a^4*b^2*c^6*d^5 - 3*a^4*b^2*c^8*d^3 + 6*a*b^5*c*d^10 + 6*a^5*b*c*d^10))/f^3 + (((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) + (((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) + a^4*c^5*f^2 + b^4*c^5*f^2 + 4*a*b^3*d^5*f^2 - 4*a^3*b*d^5*f^2 + 5*a^4*c*d^4*f^2 + 5*b^4*c*d^4*f^2 - 6*a^2*b^2*c^5*f^2 - 10*a^4*c^3*d^2*f^2 - 10*b^4*c^3*d^2*f^2 + 60*a^2*b^2*c^3*d^2*f^2 + 20*a*b^3*c^4*d*f^2 - 20*a^3*b*c^4*d*f^2 - 40*a*b^3*c^2*d^3*f^2 - 30*a^2*b^2*c*d^4*f^2 + 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)*2i - atan(((((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)*1i - (((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)*1i)/((16*(a^6*d^11 - b^6*d^11 - a^2*b^4*d^11 + a^4*b^2*d^11 - 6*a^6*c^4*d^7 - 8*a^6*c^6*d^5 - 3*a^6*c^8*d^3 + 6*b^6*c^4*d^7 + 8*b^6*c^6*d^5 + 3*b^6*c^8*d^3 + 16*a*b^5*c^3*d^8 + 12*a*b^5*c^5*d^6 - 2*a*b^5*c^9*d^2 + 12*a^3*b^3*c*d^10 + 16*a^5*b*c^3*d^8 + 12*a^5*b*c^5*d^6 - 2*a^5*b*c^9*d^2 + 6*a^2*b^4*c^4*d^7 + 8*a^2*b^4*c^6*d^5 + 3*a^2*b^4*c^8*d^3 + 32*a^3*b^3*c^3*d^8 + 24*a^3*b^3*c^5*d^6 - 4*a^3*b^3*c^9*d^2 - 6*a^4*b^2*c^4*d^7 - 8*a^4*b^2*c^6*d^5 - 3*a^4*b^2*c^8*d^3 + 6*a*b^5*c*d^10 + 6*a^5*b*c*d^10))/f^3 + (((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) + (((8*(8*a^2*c*d^5*f^2 - 8*b^2*c*d^5*f^2 + 8*a^2*c^3*d^3*f^2 - 8*b^2*c^3*d^3*f^2 - 8*a*b*d^6*f^2 + 8*a*b*c^4*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^8 + b^4*d^8 - 6*a^2*b^2*d^8 - 15*a^4*c^2*d^6 + 15*a^4*c^4*d^4 - a^4*c^6*d^2 - 15*b^4*c^2*d^6 + 15*b^4*c^4*d^4 - b^4*c^6*d^2 + 80*a*b^3*c^3*d^5 - 24*a*b^3*c^5*d^3 - 80*a^3*b*c^3*d^5 + 24*a^3*b*c^5*d^3 + 90*a^2*b^2*c^2*d^6 - 90*a^2*b^2*c^4*d^4 + 6*a^2*b^2*c^6*d^2 - 24*a*b^3*c*d^7 + 24*a^3*b*c*d^7))/f^2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 + 32*a*b^3*d^5*f^2 - 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 + 160*a*b^3*c^4*d*f^2 - 160*a^3*b*c^4*d*f^2 - 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 + 320*a^3*b*c^2*d^3*f^2)^2/64 - f^4*(a^8*c^10 + a^8*d^10 + b^8*c^10 + b^8*d^10 + 4*a^2*b^6*c^10 + 6*a^4*b^4*c^10 + 4*a^6*b^2*c^10 + 4*a^2*b^6*d^10 + 6*a^4*b^4*d^10 + 4*a^6*b^2*d^10 + 5*a^8*c^2*d^8 + 10*a^8*c^4*d^6 + 10*a^8*c^6*d^4 + 5*a^8*c^8*d^2 + 5*b^8*c^2*d^8 + 10*b^8*c^4*d^6 + 10*b^8*c^6*d^4 + 5*b^8*c^8*d^2 + 20*a^2*b^6*c^2*d^8 + 40*a^2*b^6*c^4*d^6 + 40*a^2*b^6*c^6*d^4 + 20*a^2*b^6*c^8*d^2 + 30*a^4*b^4*c^2*d^8 + 60*a^4*b^4*c^4*d^6 + 60*a^4*b^4*c^6*d^4 + 30*a^4*b^4*c^8*d^2 + 20*a^6*b^2*c^2*d^8 + 40*a^6*b^2*c^4*d^6 + 40*a^6*b^2*c^6*d^4 + 20*a^6*b^2*c^8*d^2))^(1/2) - a^4*c^5*f^2 - b^4*c^5*f^2 - 4*a*b^3*d^5*f^2 + 4*a^3*b*d^5*f^2 - 5*a^4*c*d^4*f^2 - 5*b^4*c*d^4*f^2 + 6*a^2*b^2*c^5*f^2 + 10*a^4*c^3*d^2*f^2 + 10*b^4*c^3*d^2*f^2 - 60*a^2*b^2*c^3*d^2*f^2 - 20*a*b^3*c^4*d*f^2 + 20*a^3*b*c^4*d*f^2 + 40*a*b^3*c^2*d^3*f^2 + 30*a^2*b^2*c*d^4*f^2 - 40*a^3*b*c^2*d^3*f^2)/(4*f^4))^(1/2)*2i + (2*b^2*(c + d*tan(e + f*x))^(7/2))/(7*d*f)","B"
1243,1,3863,188,34.413648,"\text{Not used}","int((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^(5/2),x)","\ln\left(-\frac{\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+b^2\,c^5\,f^2+5\,b^2\,c\,d^4\,f^2-10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+b^2\,c^5\,f^2+5\,b^2\,c\,d^4\,f^2-10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,b\,d^6-32\,b\,c^4\,d^2+32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+b^2\,c^5\,f^2+5\,b^2\,c\,d^4\,f^2-10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,b^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,b^4\,c^8\,d^2\,f^4+100\,b^4\,c^6\,d^4\,f^4-110\,b^4\,c^4\,d^6\,f^4+20\,b^4\,c^2\,d^8\,f^4-b^4\,d^{10}\,f^4}}{4\,f^4}+\frac{b^2\,c^5}{4\,f^2}+\frac{5\,b^2\,c\,d^4}{4\,f^2}-\frac{5\,b^2\,c^3\,d^2}{2\,f^2}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+b^2\,c^5\,f^2+5\,b^2\,c\,d^4\,f^2-10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+b^2\,c^5\,f^2+5\,b^2\,c\,d^4\,f^2-10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,b\,c^4\,d^2-32\,b\,d^6+32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+b^2\,c^5\,f^2+5\,b^2\,c\,d^4\,f^2-10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,b^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,b^4\,c^8\,d^2\,f^4+100\,b^4\,c^6\,d^4\,f^4-110\,b^4\,c^4\,d^6\,f^4+20\,b^4\,c^2\,d^8\,f^4-b^4\,d^{10}\,f^4}+b^2\,c^5\,f^2+5\,b^2\,c\,d^4\,f^2-10\,b^2\,c^3\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-b^2\,c^5\,f^2-5\,b^2\,c\,d^4\,f^2+10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-b^2\,c^5\,f^2-5\,b^2\,c\,d^4\,f^2+10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,b\,c^4\,d^2-32\,b\,d^6+32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-b^2\,c^5\,f^2-5\,b^2\,c\,d^4\,f^2+10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,b^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{-\frac{\sqrt{-25\,b^4\,c^8\,d^2\,f^4+100\,b^4\,c^6\,d^4\,f^4-110\,b^4\,c^4\,d^6\,f^4+20\,b^4\,c^2\,d^8\,f^4-b^4\,d^{10}\,f^4}-b^2\,c^5\,f^2-5\,b^2\,c\,d^4\,f^2+10\,b^2\,c^3\,d^2\,f^2}{4\,f^4}}+\ln\left(-\frac{\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-b^2\,c^5\,f^2-5\,b^2\,c\,d^4\,f^2+10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-b^2\,c^5\,f^2-5\,b^2\,c\,d^4\,f^2+10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\left(32\,b\,d^6-32\,b\,c^4\,d^2+32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-b^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-b^2\,c^5\,f^2-5\,b^2\,c\,d^4\,f^2+10\,b^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,b^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,b^3\,c\,d^2\,\left(c^2-3\,d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{b^2\,c^5}{4\,f^2}-\frac{\sqrt{-25\,b^4\,c^8\,d^2\,f^4+100\,b^4\,c^6\,d^4\,f^4-110\,b^4\,c^4\,d^6\,f^4+20\,b^4\,c^2\,d^8\,f^4-b^4\,d^{10}\,f^4}}{4\,f^4}+\frac{5\,b^2\,c\,d^4}{4\,f^2}-\frac{5\,b^2\,c^3\,d^2}{2\,f^2}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5+32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{-\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{4\,f^4}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5+32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}+\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{4\,f^4}}+\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5-32\,c\,d^2\,f\,\sqrt{\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}-a^2\,c^5\,f^2-5\,a^2\,c\,d^4\,f^2+10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}}{4\,f^4}-\frac{a^2\,c^5}{4\,f^2}-\frac{5\,a^2\,c\,d^4}{4\,f^2}+\frac{5\,a^2\,c^3\,d^2}{2\,f^2}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\left(64\,a\,c^3\,d^3+64\,a\,c\,d^5-32\,c\,d^2\,f\,\sqrt{-\frac{\sqrt{-a^4\,d^2\,f^4\,{\left(5\,c^4-10\,c^2\,d^2+d^4\right)}^2}+a^2\,c^5\,f^2+5\,a^2\,c\,d^4\,f^2-10\,a^2\,c^3\,d^2\,f^2}{f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\right)}{2\,f}-\frac{16\,a^2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(c^6-15\,c^4\,d^2+15\,c^2\,d^4-d^6\right)}{f^2}\right)}{2}-\frac{8\,a^3\,d^3\,\left(3\,c^2-d^2\right)\,{\left(c^2+d^2\right)}^3}{f^3}\right)\,\sqrt{\frac{5\,a^2\,c^3\,d^2}{2\,f^2}-\frac{a^2\,c^5}{4\,f^2}-\frac{5\,a^2\,c\,d^4}{4\,f^2}-\frac{\sqrt{-25\,a^4\,c^8\,d^2\,f^4+100\,a^4\,c^6\,d^4\,f^4-110\,a^4\,c^4\,d^6\,f^4+20\,a^4\,c^2\,d^8\,f^4-a^4\,d^{10}\,f^4}}{4\,f^4}}+\left(\frac{4\,b\,c^2}{f}-\frac{2\,b\,\left(c^2+d^2\right)}{f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+\frac{2\,b\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,f}+\frac{2\,a\,d\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{2\,b\,c\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}+\frac{4\,a\,c\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f}","Not used",1,"log(- ((((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + b^2*c^5*f^2 + 5*b^2*c*d^4*f^2 - 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(((((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + b^2*c^5*f^2 + 5*b^2*c*d^4*f^2 - 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(32*b*d^6 - 32*b*c^4*d^2 + 32*c*d^2*f*(((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + b^2*c^5*f^2 + 5*b^2*c*d^4*f^2 - 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*b^3*c*d^2*(c^2 - 3*d^2)*(c^2 + d^2)^3)/f^3)*((20*b^4*c^2*d^8*f^4 - b^4*d^10*f^4 - 110*b^4*c^4*d^6*f^4 + 100*b^4*c^6*d^4*f^4 - 25*b^4*c^8*d^2*f^4)^(1/2)/(4*f^4) + (b^2*c^5)/(4*f^2) + (5*b^2*c*d^4)/(4*f^2) - (5*b^2*c^3*d^2)/(2*f^2))^(1/2) - log(((((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + b^2*c^5*f^2 + 5*b^2*c*d^4*f^2 - 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(((((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + b^2*c^5*f^2 + 5*b^2*c*d^4*f^2 - 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(32*b*c^4*d^2 - 32*b*d^6 + 32*c*d^2*f*(((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + b^2*c^5*f^2 + 5*b^2*c*d^4*f^2 - 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*b^3*c*d^2*(c^2 - 3*d^2)*(c^2 + d^2)^3)/f^3)*(((20*b^4*c^2*d^8*f^4 - b^4*d^10*f^4 - 110*b^4*c^4*d^6*f^4 + 100*b^4*c^6*d^4*f^4 - 25*b^4*c^8*d^2*f^4)^(1/2) + b^2*c^5*f^2 + 5*b^2*c*d^4*f^2 - 10*b^2*c^3*d^2*f^2)/(4*f^4))^(1/2) - log(((-((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - b^2*c^5*f^2 - 5*b^2*c*d^4*f^2 + 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(((-((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - b^2*c^5*f^2 - 5*b^2*c*d^4*f^2 + 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(32*b*c^4*d^2 - 32*b*d^6 + 32*c*d^2*f*(-((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - b^2*c^5*f^2 - 5*b^2*c*d^4*f^2 + 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*b^3*c*d^2*(c^2 - 3*d^2)*(c^2 + d^2)^3)/f^3)*(-((20*b^4*c^2*d^8*f^4 - b^4*d^10*f^4 - 110*b^4*c^4*d^6*f^4 + 100*b^4*c^6*d^4*f^4 - 25*b^4*c^8*d^2*f^4)^(1/2) - b^2*c^5*f^2 - 5*b^2*c*d^4*f^2 + 10*b^2*c^3*d^2*f^2)/(4*f^4))^(1/2) + log(- ((-((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - b^2*c^5*f^2 - 5*b^2*c*d^4*f^2 + 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(((-((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - b^2*c^5*f^2 - 5*b^2*c*d^4*f^2 + 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(32*b*d^6 - 32*b*c^4*d^2 + 32*c*d^2*f*(-((-b^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - b^2*c^5*f^2 - 5*b^2*c*d^4*f^2 + 10*b^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*b^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*b^3*c*d^2*(c^2 - 3*d^2)*(c^2 + d^2)^3)/f^3)*((b^2*c^5)/(4*f^2) - (20*b^4*c^2*d^8*f^4 - b^4*d^10*f^4 - 110*b^4*c^4*d^6*f^4 + 100*b^4*c^6*d^4*f^4 - 25*b^4*c^8*d^2*f^4)^(1/2)/(4*f^4) + (5*b^2*c*d^4)/(4*f^2) - (5*b^2*c^3*d^2)/(2*f^2))^(1/2) - log(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 + 32*c*d^2*f*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*(-((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/(4*f^4))^(1/2) - log(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 + 32*c*d^2*f*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) + (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*(((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/(4*f^4))^(1/2) + log(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 - 32*c*d^2*f*(((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) - a^2*c^5*f^2 - 5*a^2*c*d^4*f^2 + 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*((20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2)/(4*f^4) - (a^2*c^5)/(4*f^2) - (5*a^2*c*d^4)/(4*f^2) + (5*a^2*c^3*d^2)/(2*f^2))^(1/2) + log(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(((-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(64*a*c^3*d^3 + 64*a*c*d^5 - 32*c*d^2*f*(-((-a^4*d^2*f^4*(5*c^4 + d^4 - 10*c^2*d^2)^2)^(1/2) + a^2*c^5*f^2 + 5*a^2*c*d^4*f^2 - 10*a^2*c^3*d^2*f^2)/f^4)^(1/2)*(c + d*tan(e + f*x))^(1/2)))/(2*f) - (16*a^2*d^2*(c + d*tan(e + f*x))^(1/2)*(c^6 - d^6 + 15*c^2*d^4 - 15*c^4*d^2))/f^2))/2 - (8*a^3*d^3*(3*c^2 - d^2)*(c^2 + d^2)^3)/f^3)*((5*a^2*c^3*d^2)/(2*f^2) - (a^2*c^5)/(4*f^2) - (5*a^2*c*d^4)/(4*f^2) - (20*a^4*c^2*d^8*f^4 - a^4*d^10*f^4 - 110*a^4*c^4*d^6*f^4 + 100*a^4*c^6*d^4*f^4 - 25*a^4*c^8*d^2*f^4)^(1/2)/(4*f^4))^(1/2) + ((4*b*c^2)/f - (2*b*(c^2 + d^2))/f)*(c + d*tan(e + f*x))^(1/2) + (2*b*(c + d*tan(e + f*x))^(5/2))/(5*f) + (2*a*d*(c + d*tan(e + f*x))^(3/2))/(3*f) + (2*b*c*(c + d*tan(e + f*x))^(3/2))/(3*f) + (4*a*c*d*(c + d*tan(e + f*x))^(1/2))/f","B"
1244,1,27922,195,13.246632,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x)),x)","\frac{2\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{b\,f}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}+\frac{64\,\left(-3\,a^5\,c^8\,d^{15}-8\,a^5\,c^6\,d^{17}-6\,a^5\,c^4\,d^{19}+a^5\,d^{23}+17\,a^4\,b\,c^9\,d^{14}+48\,a^4\,b\,c^7\,d^{16}+42\,a^4\,b\,c^5\,d^{18}+8\,a^4\,b\,c^3\,d^{20}-3\,a^4\,b\,c\,d^{22}-39\,a^3\,b^2\,c^{10}\,d^{13}-117\,a^3\,b^2\,c^8\,d^{15}-118\,a^3\,b^2\,c^6\,d^{17}-42\,a^3\,b^2\,c^4\,d^{19}-3\,a^3\,b^2\,c^2\,d^{21}-a^3\,b^2\,d^{23}+45\,a^2\,b^3\,c^{11}\,d^{12}+143\,a^2\,b^3\,c^9\,d^{14}+162\,a^2\,b^3\,c^7\,d^{16}+78\,a^2\,b^3\,c^5\,d^{18}+17\,a^2\,b^3\,c^3\,d^{20}+3\,a^2\,b^3\,c\,d^{22}-26\,a\,b^4\,c^{12}\,d^{11}-87\,a\,b^4\,c^{10}\,d^{13}-108\,a\,b^4\,c^8\,d^{15}-62\,a\,b^4\,c^6\,d^{17}-18\,a\,b^4\,c^4\,d^{19}-3\,a\,b^4\,c^2\,d^{21}+6\,b^5\,c^{13}\,d^{10}+21\,b^5\,c^{11}\,d^{12}+28\,b^5\,c^9\,d^{14}+18\,b^5\,c^7\,d^{16}+6\,b^5\,c^5\,d^{18}+b^5\,c^3\,d^{20}\right)}{b\,f^5}}\right)\,\sqrt{-\frac{c^5\,1{}\mathrm{i}+5\,c^4\,d-c^3\,d^2\,10{}\mathrm{i}-10\,c^2\,d^3+c\,d^4\,5{}\mathrm{i}+d^5}{4\,\left(a^2\,f^2\,1{}\mathrm{i}+2\,a\,b\,f^2-b^2\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\left(\left(\left(\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}+\frac{64\,\left(-3\,a^5\,c^8\,d^{15}-8\,a^5\,c^6\,d^{17}-6\,a^5\,c^4\,d^{19}+a^5\,d^{23}+17\,a^4\,b\,c^9\,d^{14}+48\,a^4\,b\,c^7\,d^{16}+42\,a^4\,b\,c^5\,d^{18}+8\,a^4\,b\,c^3\,d^{20}-3\,a^4\,b\,c\,d^{22}-39\,a^3\,b^2\,c^{10}\,d^{13}-117\,a^3\,b^2\,c^8\,d^{15}-118\,a^3\,b^2\,c^6\,d^{17}-42\,a^3\,b^2\,c^4\,d^{19}-3\,a^3\,b^2\,c^2\,d^{21}-a^3\,b^2\,d^{23}+45\,a^2\,b^3\,c^{11}\,d^{12}+143\,a^2\,b^3\,c^9\,d^{14}+162\,a^2\,b^3\,c^7\,d^{16}+78\,a^2\,b^3\,c^5\,d^{18}+17\,a^2\,b^3\,c^3\,d^{20}+3\,a^2\,b^3\,c\,d^{22}-26\,a\,b^4\,c^{12}\,d^{11}-87\,a\,b^4\,c^{10}\,d^{13}-108\,a\,b^4\,c^8\,d^{15}-62\,a\,b^4\,c^6\,d^{17}-18\,a\,b^4\,c^4\,d^{19}-3\,a\,b^4\,c^2\,d^{21}+6\,b^5\,c^{13}\,d^{10}+21\,b^5\,c^{11}\,d^{12}+28\,b^5\,c^9\,d^{14}+18\,b^5\,c^7\,d^{16}+6\,b^5\,c^5\,d^{18}+b^5\,c^3\,d^{20}\right)}{b\,f^5}}\right)\,\sqrt{-\frac{c^5+c^4\,d\,5{}\mathrm{i}-10\,c^3\,d^2-c^2\,d^3\,10{}\mathrm{i}+5\,c\,d^4+d^5\,1{}\mathrm{i}}{4\,\left(a^2\,f^2+a\,b\,f^2\,2{}\mathrm{i}-b^2\,f^2\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}+\frac{\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}-\frac{32\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b^4\,f^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{b^3\,f\,\left(a^2+b^2\right)}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}-\frac{\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}+\frac{32\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b^4\,f^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)\,1{}\mathrm{i}}{b^3\,f\,\left(a^2+b^2\right)}}{\frac{64\,\left(-3\,a^5\,c^8\,d^{15}-8\,a^5\,c^6\,d^{17}-6\,a^5\,c^4\,d^{19}+a^5\,d^{23}+17\,a^4\,b\,c^9\,d^{14}+48\,a^4\,b\,c^7\,d^{16}+42\,a^4\,b\,c^5\,d^{18}+8\,a^4\,b\,c^3\,d^{20}-3\,a^4\,b\,c\,d^{22}-39\,a^3\,b^2\,c^{10}\,d^{13}-117\,a^3\,b^2\,c^8\,d^{15}-118\,a^3\,b^2\,c^6\,d^{17}-42\,a^3\,b^2\,c^4\,d^{19}-3\,a^3\,b^2\,c^2\,d^{21}-a^3\,b^2\,d^{23}+45\,a^2\,b^3\,c^{11}\,d^{12}+143\,a^2\,b^3\,c^9\,d^{14}+162\,a^2\,b^3\,c^7\,d^{16}+78\,a^2\,b^3\,c^5\,d^{18}+17\,a^2\,b^3\,c^3\,d^{20}+3\,a^2\,b^3\,c\,d^{22}-26\,a\,b^4\,c^{12}\,d^{11}-87\,a\,b^4\,c^{10}\,d^{13}-108\,a\,b^4\,c^8\,d^{15}-62\,a\,b^4\,c^6\,d^{17}-18\,a\,b^4\,c^4\,d^{19}-3\,a\,b^4\,c^2\,d^{21}+6\,b^5\,c^{13}\,d^{10}+21\,b^5\,c^{11}\,d^{12}+28\,b^5\,c^9\,d^{14}+18\,b^5\,c^7\,d^{16}+6\,b^5\,c^5\,d^{18}+b^5\,c^3\,d^{20}\right)}{b\,f^5}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}+\frac{\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}-\frac{32\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b^4\,f^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,a^6\,c^6\,d^{14}-30\,a^6\,c^4\,d^{16}+30\,a^6\,c^2\,d^{18}-2\,a^6\,d^{20}-12\,a^5\,b\,c^7\,d^{13}+180\,a^5\,b\,c^5\,d^{15}-180\,a^5\,b\,c^3\,d^{17}+12\,a^5\,b\,c\,d^{19}+30\,a^4\,b^2\,c^8\,d^{12}-450\,a^4\,b^2\,c^6\,d^{14}+450\,a^4\,b^2\,c^4\,d^{16}-30\,a^4\,b^2\,c^2\,d^{18}-40\,a^3\,b^3\,c^9\,d^{11}+600\,a^3\,b^3\,c^7\,d^{13}-600\,a^3\,b^3\,c^5\,d^{15}+40\,a^3\,b^3\,c^3\,d^{17}+30\,a^2\,b^4\,c^{10}\,d^{10}-450\,a^2\,b^4\,c^8\,d^{12}+450\,a^2\,b^4\,c^6\,d^{14}-30\,a^2\,b^4\,c^4\,d^{16}-12\,a\,b^5\,c^{11}\,d^9+180\,a\,b^5\,c^9\,d^{11}-180\,a\,b^5\,c^7\,d^{13}+12\,a\,b^5\,c^5\,d^{15}+3\,b^6\,c^{12}\,d^8-24\,b^6\,c^{10}\,d^{10}+45\,b^6\,c^8\,d^{12}+18\,b^6\,c^6\,d^{14}+15\,b^6\,c^4\,d^{16}+6\,b^6\,c^2\,d^{18}+b^6\,d^{20}\right)}{b\,f^4}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\left(8\,a^7\,c^3\,d^{15}\,f^2+8\,a^7\,c\,d^{17}\,f^2-60\,a^6\,b\,c^4\,d^{14}\,f^2-48\,a^6\,b\,c^2\,d^{16}\,f^2+12\,a^6\,b\,d^{18}\,f^2+192\,a^5\,b^2\,c^5\,d^{13}\,f^2+88\,a^5\,b^2\,c^3\,d^{15}\,f^2-104\,a^5\,b^2\,c\,d^{17}\,f^2-3\,a^4\,b^3\,c^8\,d^{10}\,f^2-348\,a^4\,b^3\,c^6\,d^{12}\,f^2+42\,a^4\,b^3\,c^4\,d^{14}\,f^2+372\,a^4\,b^3\,c^2\,d^{16}\,f^2-15\,a^4\,b^3\,d^{18}\,f^2+2\,a^3\,b^4\,c^9\,d^9\,f^2+360\,a^3\,b^4\,c^7\,d^{11}\,f^2-372\,a^3\,b^4\,c^5\,d^{13}\,f^2-640\,a^3\,b^4\,c^3\,d^{15}\,f^2+90\,a^3\,b^4\,c\,d^{17}\,f^2+a^2\,b^5\,c^{10}\,d^8\,f^2-207\,a^2\,b^5\,c^8\,d^{10}\,f^2+522\,a^2\,b^5\,c^6\,d^{12}\,f^2+558\,a^2\,b^5\,c^4\,d^{14}\,f^2-171\,a^2\,b^5\,c^2\,d^{16}\,f^2+a^2\,b^5\,d^{18}\,f^2+58\,a\,b^6\,c^9\,d^9\,f^2-312\,a\,b^6\,c^7\,d^{11}\,f^2-228\,a\,b^6\,c^5\,d^{13}\,f^2+144\,a\,b^6\,c^3\,d^{15}\,f^2+2\,a\,b^6\,c\,d^{17}\,f^2-3\,b^7\,c^{10}\,d^8\,f^2+72\,b^7\,c^8\,d^{10}\,f^2+30\,b^7\,c^6\,d^{12}\,f^2-48\,b^7\,c^4\,d^{14}\,f^2-3\,b^7\,c^2\,d^{16}\,f^2\right)}{b\,f^5}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-8\,a^8\,c\,d^{14}\,f^2+48\,a^7\,b\,c^2\,d^{13}\,f^2+16\,a^7\,b\,d^{15}\,f^2-120\,a^6\,b^2\,c^3\,d^{12}\,f^2-88\,a^6\,b^2\,c\,d^{14}\,f^2-2\,a^5\,b^3\,c^6\,d^9\,f^2+190\,a^5\,b^3\,c^4\,d^{11}\,f^2+162\,a^5\,b^3\,c^2\,d^{13}\,f^2+2\,a^5\,b^3\,d^{15}\,f^2+2\,a^4\,b^4\,c^7\,d^8\,f^2-150\,a^4\,b^4\,c^5\,d^{10}\,f^2-170\,a^4\,b^4\,c^3\,d^{12}\,f^2-2\,a^4\,b^4\,c\,d^{14}\,f^2+44\,a^3\,b^5\,c^6\,d^9\,f^2+140\,a^3\,b^5\,c^4\,d^{11}\,f^2-60\,a^3\,b^5\,c^2\,d^{13}\,f^2+4\,a^3\,b^5\,d^{15}\,f^2-12\,a^2\,b^6\,c^7\,d^8\,f^2+36\,a^2\,b^6\,c^5\,d^{10}\,f^2+100\,a^2\,b^6\,c^3\,d^{12}\,f^2-44\,a^2\,b^6\,c\,d^{14}\,f^2-114\,a\,b^7\,c^6\,d^9\,f^2+110\,a\,b^7\,c^4\,d^{11}\,f^2+114\,a\,b^7\,c^2\,d^{13}\,f^2-14\,a\,b^7\,d^{15}\,f^2+18\,b^8\,c^7\,d^8\,f^2-102\,b^8\,c^5\,d^{10}\,f^2-10\,b^8\,c^3\,d^{12}\,f^2+38\,b^8\,c\,d^{14}\,f^2\right)}{b\,f^4}-\frac{\left(\frac{32\,\left(8\,a^6\,b^3\,c^3\,d^{10}\,f^4+8\,a^6\,b^3\,c\,d^{12}\,f^4-20\,a^5\,b^4\,c^4\,d^9\,f^4-24\,a^5\,b^4\,c^2\,d^{11}\,f^4-4\,a^5\,b^4\,d^{13}\,f^4+12\,a^4\,b^5\,c^5\,d^8\,f^4+32\,a^4\,b^5\,c^3\,d^{10}\,f^4+20\,a^4\,b^5\,c\,d^{12}\,f^4-40\,a^3\,b^6\,c^4\,d^9\,f^4-48\,a^3\,b^6\,c^2\,d^{11}\,f^4-8\,a^3\,b^6\,d^{13}\,f^4+24\,a^2\,b^7\,c^5\,d^8\,f^4+40\,a^2\,b^7\,c^3\,d^{10}\,f^4+16\,a^2\,b^7\,c\,d^{12}\,f^4-20\,a\,b^8\,c^4\,d^9\,f^4-24\,a\,b^8\,c^2\,d^{11}\,f^4-4\,a\,b^8\,d^{13}\,f^4+12\,b^9\,c^5\,d^8\,f^4+16\,b^9\,c^3\,d^{10}\,f^4+4\,b^9\,c\,d^{12}\,f^4\right)}{b\,f^5}+\frac{32\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^3\,c\,d^9\,f^4-8\,a^6\,b^4\,c^2\,d^8\,f^4-16\,a^6\,b^4\,d^{10}\,f^4+24\,a^5\,b^5\,c\,d^9\,f^4+8\,a^4\,b^6\,c^2\,d^8\,f^4-16\,a^4\,b^6\,d^{10}\,f^4+24\,a^3\,b^7\,c\,d^9\,f^4+40\,a^2\,b^8\,c^2\,d^8\,f^4+16\,a^2\,b^8\,d^{10}\,f^4+8\,a\,b^9\,c\,d^9\,f^4+24\,b^{10}\,c^2\,d^8\,f^4+16\,b^{10}\,d^{10}\,f^4\right)}{b^4\,f^5\,\left(a^2+b^2\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}\right)}{b^3\,f\,\left(a^2+b^2\right)}}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,2{}\mathrm{i}}{b^3\,f\,\left(a^2+b^2\right)}","Not used",1,"(2*d^2*(c + d*tan(e + f*x))^(1/2))/(b*f) - atan(((((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) - (32*(c + d*tan(e + f*x))^(1/2)*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*1i - (((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) + (32*(c + d*tan(e + f*x))^(1/2)*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*1i)/((((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) - (32*(c + d*tan(e + f*x))^(1/2)*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) + (32*(c + d*tan(e + f*x))^(1/2)*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2) + (64*(a^5*d^23 - a^3*b^2*d^23 - 6*a^5*c^4*d^19 - 8*a^5*c^6*d^17 - 3*a^5*c^8*d^15 + b^5*c^3*d^20 + 6*b^5*c^5*d^18 + 18*b^5*c^7*d^16 + 28*b^5*c^9*d^14 + 21*b^5*c^11*d^12 + 6*b^5*c^13*d^10 - 3*a*b^4*c^2*d^21 - 18*a*b^4*c^4*d^19 - 62*a*b^4*c^6*d^17 - 108*a*b^4*c^8*d^15 - 87*a*b^4*c^10*d^13 - 26*a*b^4*c^12*d^11 + 3*a^2*b^3*c*d^22 + 8*a^4*b*c^3*d^20 + 42*a^4*b*c^5*d^18 + 48*a^4*b*c^7*d^16 + 17*a^4*b*c^9*d^14 + 17*a^2*b^3*c^3*d^20 + 78*a^2*b^3*c^5*d^18 + 162*a^2*b^3*c^7*d^16 + 143*a^2*b^3*c^9*d^14 + 45*a^2*b^3*c^11*d^12 - 3*a^3*b^2*c^2*d^21 - 42*a^3*b^2*c^4*d^19 - 118*a^3*b^2*c^6*d^17 - 117*a^3*b^2*c^8*d^15 - 39*a^3*b^2*c^10*d^13 - 3*a^4*b*c*d^22))/(b*f^5)))*(-(c*d^4*5i + 5*c^4*d + c^5*1i + d^5 - 10*c^2*d^3 - c^3*d^2*10i)/(4*(a^2*f^2*1i - b^2*f^2*1i + 2*a*b*f^2)))^(1/2)*2i - atan(((((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) - (32*(c + d*tan(e + f*x))^(1/2)*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*1i - (((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) + (32*(c + d*tan(e + f*x))^(1/2)*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*1i)/((((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) - (32*(c + d*tan(e + f*x))^(1/2)*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (((((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) + (32*(c + d*tan(e + f*x))^(1/2)*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2) + (64*(a^5*d^23 - a^3*b^2*d^23 - 6*a^5*c^4*d^19 - 8*a^5*c^6*d^17 - 3*a^5*c^8*d^15 + b^5*c^3*d^20 + 6*b^5*c^5*d^18 + 18*b^5*c^7*d^16 + 28*b^5*c^9*d^14 + 21*b^5*c^11*d^12 + 6*b^5*c^13*d^10 - 3*a*b^4*c^2*d^21 - 18*a*b^4*c^4*d^19 - 62*a*b^4*c^6*d^17 - 108*a*b^4*c^8*d^15 - 87*a*b^4*c^10*d^13 - 26*a*b^4*c^12*d^11 + 3*a^2*b^3*c*d^22 + 8*a^4*b*c^3*d^20 + 42*a^4*b*c^5*d^18 + 48*a^4*b*c^7*d^16 + 17*a^4*b*c^9*d^14 + 17*a^2*b^3*c^3*d^20 + 78*a^2*b^3*c^5*d^18 + 162*a^2*b^3*c^7*d^16 + 143*a^2*b^3*c^9*d^14 + 45*a^2*b^3*c^11*d^12 - 3*a^3*b^2*c^2*d^21 - 42*a^3*b^2*c^4*d^19 - 118*a^3*b^2*c^6*d^17 - 117*a^3*b^2*c^8*d^15 - 39*a^3*b^2*c^10*d^13 - 3*a^4*b*c*d^22))/(b*f^5)))*(-(5*c*d^4 + c^4*d*5i + c^5 + d^5*1i - c^2*d^3*10i - 10*c^3*d^2)/(4*(a^2*f^2 - b^2*f^2 + a*b*f^2*2i)))^(1/2)*2i + (atan((((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4) - ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5) + ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4) + (((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) - (32*(-b^3*(a*d - b*c)^5)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b^4*f^5*(a^2 + b^2)))*(-b^3*(a*d - b*c)^5)^(1/2))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2)))*1i)/(b^3*f*(a^2 + b^2)) + ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4) + ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5) - ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4) - (((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) + (32*(-b^3*(a*d - b*c)^5)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b^4*f^5*(a^2 + b^2)))*(-b^3*(a*d - b*c)^5)^(1/2))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2)))*1i)/(b^3*f*(a^2 + b^2)))/((64*(a^5*d^23 - a^3*b^2*d^23 - 6*a^5*c^4*d^19 - 8*a^5*c^6*d^17 - 3*a^5*c^8*d^15 + b^5*c^3*d^20 + 6*b^5*c^5*d^18 + 18*b^5*c^7*d^16 + 28*b^5*c^9*d^14 + 21*b^5*c^11*d^12 + 6*b^5*c^13*d^10 - 3*a*b^4*c^2*d^21 - 18*a*b^4*c^4*d^19 - 62*a*b^4*c^6*d^17 - 108*a*b^4*c^8*d^15 - 87*a*b^4*c^10*d^13 - 26*a*b^4*c^12*d^11 + 3*a^2*b^3*c*d^22 + 8*a^4*b*c^3*d^20 + 42*a^4*b*c^5*d^18 + 48*a^4*b*c^7*d^16 + 17*a^4*b*c^9*d^14 + 17*a^2*b^3*c^3*d^20 + 78*a^2*b^3*c^5*d^18 + 162*a^2*b^3*c^7*d^16 + 143*a^2*b^3*c^9*d^14 + 45*a^2*b^3*c^11*d^12 - 3*a^3*b^2*c^2*d^21 - 42*a^3*b^2*c^4*d^19 - 118*a^3*b^2*c^6*d^17 - 117*a^3*b^2*c^8*d^15 - 39*a^3*b^2*c^10*d^13 - 3*a^4*b*c*d^22))/(b*f^5) - ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4) - ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5) + ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4) + (((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) - (32*(-b^3*(a*d - b*c)^5)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b^4*f^5*(a^2 + b^2)))*(-b^3*(a*d - b*c)^5)^(1/2))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2)) + ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(b^6*d^20 - 2*a^6*d^20 + 30*a^6*c^2*d^18 - 30*a^6*c^4*d^16 + 2*a^6*c^6*d^14 + 6*b^6*c^2*d^18 + 15*b^6*c^4*d^16 + 18*b^6*c^6*d^14 + 45*b^6*c^8*d^12 - 24*b^6*c^10*d^10 + 3*b^6*c^12*d^8 + 12*a*b^5*c^5*d^15 - 180*a*b^5*c^7*d^13 + 180*a*b^5*c^9*d^11 - 12*a*b^5*c^11*d^9 - 180*a^5*b*c^3*d^17 + 180*a^5*b*c^5*d^15 - 12*a^5*b*c^7*d^13 - 30*a^2*b^4*c^4*d^16 + 450*a^2*b^4*c^6*d^14 - 450*a^2*b^4*c^8*d^12 + 30*a^2*b^4*c^10*d^10 + 40*a^3*b^3*c^3*d^17 - 600*a^3*b^3*c^5*d^15 + 600*a^3*b^3*c^7*d^13 - 40*a^3*b^3*c^9*d^11 - 30*a^4*b^2*c^2*d^18 + 450*a^4*b^2*c^4*d^16 - 450*a^4*b^2*c^6*d^14 + 30*a^4*b^2*c^8*d^12 + 12*a^5*b*c*d^19))/(b*f^4) + ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(12*a^6*b*d^18*f^2 + 8*a^7*c*d^17*f^2 + a^2*b^5*d^18*f^2 - 15*a^4*b^3*d^18*f^2 + 8*a^7*c^3*d^15*f^2 - 3*b^7*c^2*d^16*f^2 - 48*b^7*c^4*d^14*f^2 + 30*b^7*c^6*d^12*f^2 + 72*b^7*c^8*d^10*f^2 - 3*b^7*c^10*d^8*f^2 - 171*a^2*b^5*c^2*d^16*f^2 + 558*a^2*b^5*c^4*d^14*f^2 + 522*a^2*b^5*c^6*d^12*f^2 - 207*a^2*b^5*c^8*d^10*f^2 + a^2*b^5*c^10*d^8*f^2 - 640*a^3*b^4*c^3*d^15*f^2 - 372*a^3*b^4*c^5*d^13*f^2 + 360*a^3*b^4*c^7*d^11*f^2 + 2*a^3*b^4*c^9*d^9*f^2 + 372*a^4*b^3*c^2*d^16*f^2 + 42*a^4*b^3*c^4*d^14*f^2 - 348*a^4*b^3*c^6*d^12*f^2 - 3*a^4*b^3*c^8*d^10*f^2 + 88*a^5*b^2*c^3*d^15*f^2 + 192*a^5*b^2*c^5*d^13*f^2 + 2*a*b^6*c*d^17*f^2 + 144*a*b^6*c^3*d^15*f^2 - 228*a*b^6*c^5*d^13*f^2 - 312*a*b^6*c^7*d^11*f^2 + 58*a*b^6*c^9*d^9*f^2 + 90*a^3*b^4*c*d^17*f^2 - 104*a^5*b^2*c*d^17*f^2 - 48*a^6*b*c^2*d^16*f^2 - 60*a^6*b*c^4*d^14*f^2))/(b*f^5) - ((-b^3*(a*d - b*c)^5)^(1/2)*((32*(c + d*tan(e + f*x))^(1/2)*(16*a^7*b*d^15*f^2 - 14*a*b^7*d^15*f^2 - 8*a^8*c*d^14*f^2 + 38*b^8*c*d^14*f^2 + 4*a^3*b^5*d^15*f^2 + 2*a^5*b^3*d^15*f^2 - 10*b^8*c^3*d^12*f^2 - 102*b^8*c^5*d^10*f^2 + 18*b^8*c^7*d^8*f^2 + 100*a^2*b^6*c^3*d^12*f^2 + 36*a^2*b^6*c^5*d^10*f^2 - 12*a^2*b^6*c^7*d^8*f^2 - 60*a^3*b^5*c^2*d^13*f^2 + 140*a^3*b^5*c^4*d^11*f^2 + 44*a^3*b^5*c^6*d^9*f^2 - 170*a^4*b^4*c^3*d^12*f^2 - 150*a^4*b^4*c^5*d^10*f^2 + 2*a^4*b^4*c^7*d^8*f^2 + 162*a^5*b^3*c^2*d^13*f^2 + 190*a^5*b^3*c^4*d^11*f^2 - 2*a^5*b^3*c^6*d^9*f^2 - 120*a^6*b^2*c^3*d^12*f^2 + 114*a*b^7*c^2*d^13*f^2 + 110*a*b^7*c^4*d^11*f^2 - 114*a*b^7*c^6*d^9*f^2 - 44*a^2*b^6*c*d^14*f^2 - 2*a^4*b^4*c*d^14*f^2 - 88*a^6*b^2*c*d^14*f^2 + 48*a^7*b*c^2*d^13*f^2))/(b*f^4) - (((32*(4*b^9*c*d^12*f^4 - 4*a*b^8*d^13*f^4 - 8*a^3*b^6*d^13*f^4 - 4*a^5*b^4*d^13*f^4 + 16*b^9*c^3*d^10*f^4 + 12*b^9*c^5*d^8*f^4 + 40*a^2*b^7*c^3*d^10*f^4 + 24*a^2*b^7*c^5*d^8*f^4 - 48*a^3*b^6*c^2*d^11*f^4 - 40*a^3*b^6*c^4*d^9*f^4 + 32*a^4*b^5*c^3*d^10*f^4 + 12*a^4*b^5*c^5*d^8*f^4 - 24*a^5*b^4*c^2*d^11*f^4 - 20*a^5*b^4*c^4*d^9*f^4 + 8*a^6*b^3*c^3*d^10*f^4 - 24*a*b^8*c^2*d^11*f^4 - 20*a*b^8*c^4*d^9*f^4 + 16*a^2*b^7*c*d^12*f^4 + 20*a^4*b^5*c*d^12*f^4 + 8*a^6*b^3*c*d^12*f^4))/(b*f^5) + (32*(-b^3*(a*d - b*c)^5)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^10*d^10*f^4 + 16*a^2*b^8*d^10*f^4 - 16*a^4*b^6*d^10*f^4 - 16*a^6*b^4*d^10*f^4 + 24*b^10*c^2*d^8*f^4 + 40*a^2*b^8*c^2*d^8*f^4 + 8*a^4*b^6*c^2*d^8*f^4 - 8*a^6*b^4*c^2*d^8*f^4 + 8*a*b^9*c*d^9*f^4 + 24*a^3*b^7*c*d^9*f^4 + 24*a^5*b^5*c*d^9*f^4 + 8*a^7*b^3*c*d^9*f^4))/(b^4*f^5*(a^2 + b^2)))*(-b^3*(a*d - b*c)^5)^(1/2))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2))))/(b^3*f*(a^2 + b^2))))*(-b^3*(a*d - b*c)^5)^(1/2)*2i)/(b^3*f*(a^2 + b^2))","B"
1245,1,78132,243,16.399414,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^2,x)","-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\left(3\,a^8\,c^8\,d^{15}+8\,a^8\,c^6\,d^{17}+6\,a^8\,c^4\,d^{19}-a^8\,d^{23}+12\,a^7\,b\,c^9\,d^{14}+32\,a^7\,b\,c^7\,d^{16}+24\,a^7\,b\,c^5\,d^{18}-4\,a^7\,b\,c\,d^{22}-30\,a^6\,b^2\,c^{10}\,d^{13}-50\,a^6\,b^2\,c^8\,d^{15}+20\,a^6\,b^2\,c^6\,d^{17}+60\,a^6\,b^2\,c^4\,d^{19}+10\,a^6\,b^2\,c^2\,d^{21}-10\,a^6\,b^2\,d^{23}-60\,a^5\,b^3\,c^{11}\,d^{12}-160\,a^5\,b^3\,c^9\,d^{14}-120\,a^5\,b^3\,c^7\,d^{16}+20\,a^5\,b^3\,c^3\,d^{20}+193\,a^4\,b^4\,c^{12}\,d^{11}+208\,a^4\,b^4\,c^{10}\,d^{13}-365\,a^4\,b^4\,c^8\,d^{15}-440\,a^4\,b^4\,c^6\,d^{17}+55\,a^4\,b^4\,c^4\,d^{19}+88\,a^4\,b^4\,c^2\,d^{21}-27\,a^4\,b^4\,d^{23}-172\,a^3\,b^5\,c^{13}\,d^{10}+128\,a^3\,b^5\,c^{11}\,d^{12}+904\,a^3\,b^5\,c^9\,d^{14}+320\,a^3\,b^5\,c^7\,d^{16}-604\,a^3\,b^5\,c^5\,d^{18}-224\,a^3\,b^5\,c^3\,d^{20}+96\,a^3\,b^5\,c\,d^{22}+62\,a^2\,b^6\,c^{14}\,d^9-248\,a^2\,b^6\,c^{12}\,d^{11}-504\,a^2\,b^6\,c^{10}\,d^{13}+430\,a^2\,b^6\,c^8\,d^{15}+894\,a^2\,b^6\,c^6\,d^{17}+84\,a^2\,b^6\,c^4\,d^{19}-196\,a^2\,b^6\,c^2\,d^{21}-10\,a^2\,b^6\,d^{23}-8\,a\,b^7\,c^{15}\,d^8+92\,a\,b^7\,c^{13}\,d^{10}+20\,a\,b^7\,c^{11}\,d^{12}-420\,a\,b^7\,c^9\,d^{14}-320\,a\,b^7\,c^7\,d^{16}+212\,a\,b^7\,c^5\,d^{18}+212\,a\,b^7\,c^3\,d^{20}+20\,a\,b^7\,c\,d^{22}-10\,b^8\,c^{14}\,d^9+15\,b^8\,c^{12}\,d^{11}+50\,b^8\,c^{10}\,d^{13}-50\,b^8\,c^8\,d^{15}-150\,b^8\,c^6\,d^{17}-85\,b^8\,c^4\,d^{19}-10\,b^8\,c^2\,d^{21}\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\left(\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\left(\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}+\frac{16\,\left(3\,a^8\,c^8\,d^{15}+8\,a^8\,c^6\,d^{17}+6\,a^8\,c^4\,d^{19}-a^8\,d^{23}+12\,a^7\,b\,c^9\,d^{14}+32\,a^7\,b\,c^7\,d^{16}+24\,a^7\,b\,c^5\,d^{18}-4\,a^7\,b\,c\,d^{22}-30\,a^6\,b^2\,c^{10}\,d^{13}-50\,a^6\,b^2\,c^8\,d^{15}+20\,a^6\,b^2\,c^6\,d^{17}+60\,a^6\,b^2\,c^4\,d^{19}+10\,a^6\,b^2\,c^2\,d^{21}-10\,a^6\,b^2\,d^{23}-60\,a^5\,b^3\,c^{11}\,d^{12}-160\,a^5\,b^3\,c^9\,d^{14}-120\,a^5\,b^3\,c^7\,d^{16}+20\,a^5\,b^3\,c^3\,d^{20}+193\,a^4\,b^4\,c^{12}\,d^{11}+208\,a^4\,b^4\,c^{10}\,d^{13}-365\,a^4\,b^4\,c^8\,d^{15}-440\,a^4\,b^4\,c^6\,d^{17}+55\,a^4\,b^4\,c^4\,d^{19}+88\,a^4\,b^4\,c^2\,d^{21}-27\,a^4\,b^4\,d^{23}-172\,a^3\,b^5\,c^{13}\,d^{10}+128\,a^3\,b^5\,c^{11}\,d^{12}+904\,a^3\,b^5\,c^9\,d^{14}+320\,a^3\,b^5\,c^7\,d^{16}-604\,a^3\,b^5\,c^5\,d^{18}-224\,a^3\,b^5\,c^3\,d^{20}+96\,a^3\,b^5\,c\,d^{22}+62\,a^2\,b^6\,c^{14}\,d^9-248\,a^2\,b^6\,c^{12}\,d^{11}-504\,a^2\,b^6\,c^{10}\,d^{13}+430\,a^2\,b^6\,c^8\,d^{15}+894\,a^2\,b^6\,c^6\,d^{17}+84\,a^2\,b^6\,c^4\,d^{19}-196\,a^2\,b^6\,c^2\,d^{21}-10\,a^2\,b^6\,d^{23}-8\,a\,b^7\,c^{15}\,d^8+92\,a\,b^7\,c^{13}\,d^{10}+20\,a\,b^7\,c^{11}\,d^{12}-420\,a\,b^7\,c^9\,d^{14}-320\,a\,b^7\,c^7\,d^{16}+212\,a\,b^7\,c^5\,d^{18}+212\,a\,b^7\,c^3\,d^{20}+20\,a\,b^7\,c\,d^{22}-10\,b^8\,c^{14}\,d^9+15\,b^8\,c^{12}\,d^{11}+50\,b^8\,c^{10}\,d^{13}-50\,b^8\,c^8\,d^{15}-150\,b^8\,c^6\,d^{17}-85\,b^8\,c^4\,d^{19}-10\,b^8\,c^2\,d^{21}\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,a^8\,f^4+64\,a^6\,b^2\,f^4+96\,a^4\,b^4\,f^4+64\,a^2\,b^6\,f^4+16\,b^8\,f^4\right)\,\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(a^8\,f^4+4\,a^6\,b^2\,f^4+6\,a^4\,b^4\,f^4+4\,a^2\,b^6\,f^4+b^8\,f^4\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}+\frac{\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}-\frac{\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{\left(a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4\right)\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}-\frac{\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}+\frac{\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{\left(a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4\right)\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}}{\frac{16\,\left(3\,a^8\,c^8\,d^{15}+8\,a^8\,c^6\,d^{17}+6\,a^8\,c^4\,d^{19}-a^8\,d^{23}+12\,a^7\,b\,c^9\,d^{14}+32\,a^7\,b\,c^7\,d^{16}+24\,a^7\,b\,c^5\,d^{18}-4\,a^7\,b\,c\,d^{22}-30\,a^6\,b^2\,c^{10}\,d^{13}-50\,a^6\,b^2\,c^8\,d^{15}+20\,a^6\,b^2\,c^6\,d^{17}+60\,a^6\,b^2\,c^4\,d^{19}+10\,a^6\,b^2\,c^2\,d^{21}-10\,a^6\,b^2\,d^{23}-60\,a^5\,b^3\,c^{11}\,d^{12}-160\,a^5\,b^3\,c^9\,d^{14}-120\,a^5\,b^3\,c^7\,d^{16}+20\,a^5\,b^3\,c^3\,d^{20}+193\,a^4\,b^4\,c^{12}\,d^{11}+208\,a^4\,b^4\,c^{10}\,d^{13}-365\,a^4\,b^4\,c^8\,d^{15}-440\,a^4\,b^4\,c^6\,d^{17}+55\,a^4\,b^4\,c^4\,d^{19}+88\,a^4\,b^4\,c^2\,d^{21}-27\,a^4\,b^4\,d^{23}-172\,a^3\,b^5\,c^{13}\,d^{10}+128\,a^3\,b^5\,c^{11}\,d^{12}+904\,a^3\,b^5\,c^9\,d^{14}+320\,a^3\,b^5\,c^7\,d^{16}-604\,a^3\,b^5\,c^5\,d^{18}-224\,a^3\,b^5\,c^3\,d^{20}+96\,a^3\,b^5\,c\,d^{22}+62\,a^2\,b^6\,c^{14}\,d^9-248\,a^2\,b^6\,c^{12}\,d^{11}-504\,a^2\,b^6\,c^{10}\,d^{13}+430\,a^2\,b^6\,c^8\,d^{15}+894\,a^2\,b^6\,c^6\,d^{17}+84\,a^2\,b^6\,c^4\,d^{19}-196\,a^2\,b^6\,c^2\,d^{21}-10\,a^2\,b^6\,d^{23}-8\,a\,b^7\,c^{15}\,d^8+92\,a\,b^7\,c^{13}\,d^{10}+20\,a\,b^7\,c^{11}\,d^{12}-420\,a\,b^7\,c^9\,d^{14}-320\,a\,b^7\,c^7\,d^{16}+212\,a\,b^7\,c^5\,d^{18}+212\,a\,b^7\,c^3\,d^{20}+20\,a\,b^7\,c\,d^{22}-10\,b^8\,c^{14}\,d^9+15\,b^8\,c^{12}\,d^{11}+50\,b^8\,c^{10}\,d^{13}-50\,b^8\,c^8\,d^{15}-150\,b^8\,c^6\,d^{17}-85\,b^8\,c^4\,d^{19}-10\,b^8\,c^2\,d^{21}\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}+\frac{\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}-\frac{\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{\left(a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4\right)\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{10}\,c^6\,d^{14}-15\,a^{10}\,c^4\,d^{16}+15\,a^{10}\,c^2\,d^{18}-a^{10}\,d^{20}+4\,a^9\,b\,c^7\,d^{13}-48\,a^9\,b\,c^5\,d^{15}+20\,a^9\,b\,c^3\,d^{17}+8\,a^9\,b\,c\,d^{19}-10\,a^8\,b^2\,c^8\,d^{12}+207\,a^8\,b^2\,c^6\,d^{14}-445\,a^8\,b^2\,c^4\,d^{16}+193\,a^8\,b^2\,c^2\,d^{18}-9\,a^8\,b^2\,d^{20}-20\,a^7\,b^3\,c^9\,d^{11}+176\,a^7\,b^3\,c^7\,d^{13}+280\,a^7\,b^3\,c^5\,d^{15}-560\,a^7\,b^3\,c^3\,d^{17}+124\,a^7\,b^3\,c\,d^{19}+65\,a^6\,b^4\,c^{10}\,d^{10}-1305\,a^6\,b^4\,c^8\,d^{12}+3140\,a^6\,b^4\,c^6\,d^{14}-1880\,a^6\,b^4\,c^4\,d^{16}+315\,a^6\,b^4\,c^2\,d^{18}-15\,a^6\,b^4\,d^{20}-56\,a^5\,b^5\,c^{11}\,d^9+1840\,a^5\,b^5\,c^9\,d^{11}-8040\,a^5\,b^5\,c^7\,d^{13}+9936\,a^5\,b^5\,c^5\,d^{15}-3920\,a^5\,b^5\,c^3\,d^{17}+400\,a^5\,b^5\,c\,d^{19}+18\,a^4\,b^6\,c^{12}\,d^8-1115\,a^4\,b^6\,c^{10}\,d^{10}+8385\,a^4\,b^6\,c^8\,d^{12}-16848\,a^4\,b^6\,c^6\,d^{14}+10770\,a^4\,b^6\,c^4\,d^{16}-1813\,a^4\,b^6\,c^2\,d^{18}+27\,a^4\,b^6\,d^{20}+288\,a^3\,b^7\,c^{11}\,d^9-4180\,a^3\,b^7\,c^9\,d^{11}+14032\,a^3\,b^7\,c^7\,d^{13}-13896\,a^3\,b^7\,c^5\,d^{15}+3600\,a^3\,b^7\,c^3\,d^{17}-100\,a^3\,b^7\,c\,d^{19}-12\,a^2\,b^8\,c^{12}\,d^8+919\,a^2\,b^8\,c^{10}\,d^{10}-5755\,a^2\,b^8\,c^8\,d^{12}+9451\,a^2\,b^8\,c^6\,d^{14}-3565\,a^2\,b^8\,c^4\,d^{16}+174\,a^2\,b^8\,c^2\,d^{18}+4\,a^2\,b^8\,d^{20}-40\,a\,b^9\,c^{11}\,d^9+1000\,a\,b^9\,c^9\,d^{11}-3100\,a\,b^9\,c^7\,d^{13}+1840\,a\,b^9\,c^5\,d^{15}-100\,a\,b^9\,c^3\,d^{17}+2\,b^{10}\,c^{12}\,d^8-13\,b^{10}\,c^{10}\,d^{10}+405\,b^{10}\,c^8\,d^{12}-335\,b^{10}\,c^6\,d^{14}+55\,b^{10}\,c^4\,d^{16}+12\,b^{10}\,c^2\,d^{18}+2\,b^{10}\,d^{20}\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}-\frac{\left(\frac{8\,\left(-8\,a^{12}\,c^3\,d^{15}\,f^2-8\,a^{12}\,c\,d^{17}\,f^2-16\,a^{11}\,b\,c^4\,d^{14}\,f^2-32\,a^{11}\,b\,c^2\,d^{16}\,f^2-16\,a^{11}\,b\,d^{18}\,f^2+144\,a^{10}\,b^2\,c^5\,d^{13}\,f^2+48\,a^{10}\,b^2\,c^3\,d^{15}\,f^2-96\,a^{10}\,b^2\,c\,d^{17}\,f^2+12\,a^9\,b^3\,c^8\,d^{10}\,f^2+32\,a^9\,b^3\,c^6\,d^{12}\,f^2+520\,a^9\,b^3\,c^4\,d^{14}\,f^2+352\,a^9\,b^3\,c^2\,d^{16}\,f^2-148\,a^9\,b^3\,d^{18}\,f^2-12\,a^8\,b^4\,c^9\,d^9\,f^2-888\,a^8\,b^4\,c^7\,d^{11}\,f^2-144\,a^8\,b^4\,c^5\,d^{13}\,f^2+992\,a^8\,b^4\,c^3\,d^{15}\,f^2+260\,a^8\,b^4\,c\,d^{17}\,f^2+1504\,a^7\,b^5\,c^8\,d^{10}\,f^2-3456\,a^7\,b^5\,c^6\,d^{12}\,f^2-2016\,a^7\,b^5\,c^4\,d^{14}\,f^2+2624\,a^7\,b^5\,c^2\,d^{16}\,f^2-320\,a^7\,b^5\,d^{18}\,f^2-960\,a^6\,b^6\,c^9\,d^9\,f^2+5952\,a^6\,b^6\,c^7\,d^{11}\,f^2-2464\,a^6\,b^6\,c^5\,d^{13}\,f^2-6688\,a^6\,b^6\,c^3\,d^{15}\,f^2+2688\,a^6\,b^6\,c\,d^{17}\,f^2+192\,a^5\,b^7\,c^{10}\,d^8\,f^2-3208\,a^5\,b^7\,c^8\,d^{10}\,f^2+5120\,a^5\,b^7\,c^6\,d^{12}\,f^2+4112\,a^5\,b^7\,c^4\,d^{14}\,f^2-4288\,a^5\,b^7\,c^2\,d^{16}\,f^2+120\,a^5\,b^7\,d^{18}\,f^2+200\,a^4\,b^8\,c^9\,d^9\,f^2+208\,a^4\,b^8\,c^7\,d^{11}\,f^2-1952\,a^4\,b^8\,c^5\,d^{13}\,f^2-648\,a^4\,b^8\,c^3\,d^{15}\,f^2+1312\,a^4\,b^8\,c\,d^{17}\,f^2+128\,a^3\,b^9\,c^{10}\,d^8\,f^2-3072\,a^3\,b^9\,c^8\,d^{10}\,f^2+6400\,a^3\,b^9\,c^6\,d^{12}\,f^2+3888\,a^3\,b^9\,c^4\,d^{14}\,f^2-5408\,a^3\,b^9\,c^2\,d^{16}\,f^2+304\,a^3\,b^9\,d^{18}\,f^2+1056\,a^2\,b^{10}\,c^9\,d^9\,f^2-6144\,a^2\,b^{10}\,c^7\,d^{11}\,f^2+400\,a^2\,b^{10}\,c^5\,d^{13}\,f^2+6576\,a^2\,b^{10}\,c^3\,d^{15}\,f^2-1024\,a^2\,b^{10}\,c\,d^{17}\,f^2-64\,a\,b^{11}\,c^{10}\,d^8\,f^2+1628\,a\,b^{11}\,c^8\,d^{10}\,f^2-2208\,a\,b^{11}\,c^6\,d^{12}\,f^2-2776\,a\,b^{11}\,c^4\,d^{14}\,f^2+1120\,a\,b^{11}\,c^2\,d^{16}\,f^2-4\,a\,b^{11}\,d^{18}\,f^2-92\,b^{12}\,c^9\,d^9\,f^2+488\,b^{12}\,c^7\,d^{11}\,f^2+176\,b^{12}\,c^5\,d^{13}\,f^2-400\,b^{12}\,c^3\,d^{15}\,f^2+4\,b^{12}\,c\,d^{17}\,f^2\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(4\,a^{14}\,c\,d^{14}\,f^2+16\,a^{13}\,b\,c^2\,d^{13}\,f^2-8\,a^{13}\,b\,d^{15}\,f^2-40\,a^{12}\,b^2\,c^3\,d^{12}\,f^2+12\,a^{12}\,b^2\,c\,d^{14}\,f^2+4\,a^{11}\,b^3\,c^6\,d^9\,f^2-140\,a^{11}\,b^3\,c^4\,d^{11}\,f^2+156\,a^{11}\,b^3\,c^2\,d^{13}\,f^2-100\,a^{11}\,b^3\,d^{15}\,f^2-4\,a^{10}\,b^4\,c^7\,d^8\,f^2+368\,a^{10}\,b^4\,c^5\,d^{10}\,f^2-500\,a^{10}\,b^4\,c^3\,d^{12}\,f^2+124\,a^{10}\,b^4\,c\,d^{14}\,f^2-260\,a^9\,b^5\,c^6\,d^9\,f^2+180\,a^9\,b^5\,c^4\,d^{11}\,f^2+676\,a^9\,b^5\,c^2\,d^{13}\,f^2-380\,a^9\,b^5\,d^{15}\,f^2+68\,a^8\,b^6\,c^7\,d^8\,f^2+336\,a^8\,b^6\,c^5\,d^{10}\,f^2-1940\,a^8\,b^6\,c^3\,d^{12}\,f^2+1108\,a^8\,b^6\,c\,d^{14}\,f^2-56\,a^7\,b^7\,c^6\,d^9\,f^2+840\,a^7\,b^7\,c^4\,d^{11}\,f^2-584\,a^7\,b^7\,c^2\,d^{13}\,f^2-424\,a^7\,b^7\,d^{15}\,f^2-8\,a^6\,b^8\,c^7\,d^8\,f^2+800\,a^6\,b^8\,c^5\,d^{10}\,f^2-1960\,a^6\,b^8\,c^3\,d^{12}\,f^2+1436\,a^6\,b^8\,c\,d^{14}\,f^2+152\,a^5\,b^9\,c^6\,d^9\,f^2+1320\,a^5\,b^9\,c^4\,d^{11}\,f^2-2184\,a^5\,b^9\,c^2\,d^{13}\,f^2-128\,a^5\,b^9\,d^{15}\,f^2-216\,a^4\,b^{10}\,c^7\,d^8\,f^2+1760\,a^4\,b^{10}\,c^5\,d^{10}\,f^2+80\,a^4\,b^{10}\,c^3\,d^{12}\,f^2+84\,a^4\,b^{10}\,c\,d^{14}\,f^2-588\,a^3\,b^{11}\,c^6\,d^9\,f^2+1540\,a^3\,b^{11}\,c^4\,d^{11}\,f^2-596\,a^3\,b^{11}\,c^2\,d^{13}\,f^2-52\,a^3\,b^{11}\,d^{15}\,f^2-116\,a^2\,b^{12}\,c^7\,d^8\,f^2+624\,a^2\,b^{12}\,c^5\,d^{10}\,f^2+540\,a^2\,b^{12}\,c^3\,d^{12}\,f^2-284\,a^2\,b^{12}\,c\,d^{14}\,f^2-532\,a\,b^{13}\,c^6\,d^9\,f^2+740\,a\,b^{13}\,c^4\,d^{11}\,f^2+468\,a\,b^{13}\,c^2\,d^{13}\,f^2-60\,a\,b^{13}\,d^{15}\,f^2+20\,b^{14}\,c^7\,d^8\,f^2-304\,b^{14}\,c^5\,d^{10}\,f^2-20\,b^{14}\,c^3\,d^{12}\,f^2+76\,b^{14}\,c\,d^{14}\,f^2\right)}{a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4}+\frac{\left(\frac{8\,\left(32\,a^{13}\,b^3\,c^3\,d^{10}\,f^4+32\,a^{13}\,b^3\,c\,d^{12}\,f^4-96\,a^{12}\,b^4\,c^4\,d^9\,f^4+96\,a^{12}\,b^4\,d^{13}\,f^4+64\,a^{11}\,b^5\,c^5\,d^8\,f^4-64\,a^{11}\,b^5\,c\,d^{12}\,f^4-352\,a^{10}\,b^6\,c^4\,d^9\,f^4+128\,a^{10}\,b^6\,c^2\,d^{11}\,f^4+480\,a^{10}\,b^6\,d^{13}\,f^4+320\,a^9\,b^7\,c^5\,d^8\,f^4-480\,a^9\,b^7\,c^3\,d^{10}\,f^4-800\,a^9\,b^7\,c\,d^{12}\,f^4-320\,a^8\,b^8\,c^4\,d^9\,f^4+640\,a^8\,b^8\,c^2\,d^{11}\,f^4+960\,a^8\,b^8\,d^{13}\,f^4+640\,a^7\,b^9\,c^5\,d^8\,f^4-1280\,a^7\,b^9\,c^3\,d^{10}\,f^4-1920\,a^7\,b^9\,c\,d^{12}\,f^4+320\,a^6\,b^{10}\,c^4\,d^9\,f^4+1280\,a^6\,b^{10}\,c^2\,d^{11}\,f^4+960\,a^6\,b^{10}\,d^{13}\,f^4+640\,a^5\,b^{11}\,c^5\,d^8\,f^4-1440\,a^5\,b^{11}\,c^3\,d^{10}\,f^4-2080\,a^5\,b^{11}\,c\,d^{12}\,f^4+800\,a^4\,b^{12}\,c^4\,d^9\,f^4+1280\,a^4\,b^{12}\,c^2\,d^{11}\,f^4+480\,a^4\,b^{12}\,d^{13}\,f^4+320\,a^3\,b^{13}\,c^5\,d^8\,f^4-768\,a^3\,b^{13}\,c^3\,d^{10}\,f^4-1088\,a^3\,b^{13}\,c\,d^{12}\,f^4+544\,a^2\,b^{14}\,c^4\,d^9\,f^4+640\,a^2\,b^{14}\,c^2\,d^{11}\,f^4+96\,a^2\,b^{14}\,d^{13}\,f^4+64\,a\,b^{15}\,c^5\,d^8\,f^4-160\,a\,b^{15}\,c^3\,d^{10}\,f^4-224\,a\,b^{15}\,c\,d^{12}\,f^4+128\,b^{16}\,c^4\,d^9\,f^4+128\,b^{16}\,c^2\,d^{11}\,f^4\right)}{a^8\,b\,f^5+4\,a^6\,b^3\,f^5+6\,a^4\,b^5\,f^5+4\,a^2\,b^7\,f^5+b^9\,f^5}+\frac{4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}\,\left(16\,a^{15}\,b^3\,c\,d^9\,f^4-16\,a^{14}\,b^4\,c^2\,d^8\,f^4-32\,a^{14}\,b^4\,d^{10}\,f^4+112\,a^{13}\,b^5\,c\,d^9\,f^4-48\,a^{12}\,b^6\,c^2\,d^8\,f^4-160\,a^{12}\,b^6\,d^{10}\,f^4+336\,a^{11}\,b^7\,c\,d^9\,f^4+48\,a^{10}\,b^8\,c^2\,d^8\,f^4-288\,a^{10}\,b^8\,d^{10}\,f^4+560\,a^9\,b^9\,c\,d^9\,f^4+400\,a^8\,b^{10}\,c^2\,d^8\,f^4-160\,a^8\,b^{10}\,d^{10}\,f^4+560\,a^7\,b^{11}\,c\,d^9\,f^4+720\,a^6\,b^{12}\,c^2\,d^8\,f^4+160\,a^6\,b^{12}\,d^{10}\,f^4+336\,a^5\,b^{13}\,c\,d^9\,f^4+624\,a^4\,b^{14}\,c^2\,d^8\,f^4+288\,a^4\,b^{14}\,d^{10}\,f^4+112\,a^3\,b^{15}\,c\,d^9\,f^4+272\,a^2\,b^{16}\,c^2\,d^8\,f^4+160\,a^2\,b^{16}\,d^{10}\,f^4+16\,a\,b^{17}\,c\,d^9\,f^4+48\,b^{18}\,c^2\,d^8\,f^4+32\,b^{18}\,d^{10}\,f^4\right)}{\left(a^8\,b\,f^4+4\,a^6\,b^3\,f^4+6\,a^4\,b^5\,f^4+4\,a^2\,b^7\,f^4+b^9\,f^4\right)\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}}{4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}}\right)\,\sqrt{-4\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)\,\left(a^7\,d^5+5\,a^6\,b\,c\,d^4-5\,a^5\,b^2\,c^2\,d^3+10\,a^5\,b^2\,d^5-25\,a^4\,b^3\,c^3\,d^2+10\,a^4\,b^3\,c\,d^4+40\,a^3\,b^4\,c^4\,d-90\,a^3\,b^4\,c^2\,d^3+25\,a^3\,b^4\,d^5-16\,a^2\,b^5\,c^5+110\,a^2\,b^5\,c^3\,d^2-75\,a^2\,b^5\,c\,d^4-40\,a\,b^6\,c^4\,d+75\,a\,b^6\,c^2\,d^3-25\,b^7\,c^3\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b^3\,f^2+4\,a^6\,b^5\,f^2+6\,a^4\,b^7\,f^2+4\,a^2\,b^9\,f^2+b^{11}\,f^2\right)}-\frac{d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{b\,\left(a^2+b^2\right)\,\left(b\,f\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+a\,d\,f-b\,c\,f\right)}","Not used",1,"- atan(((((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i - (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(6*a^8*c^4*d^19 - 10*a^2*b^6*d^23 - 27*a^4*b^4*d^23 - 10*a^6*b^2*d^23 - a^8*d^23 + 8*a^8*c^6*d^17 + 3*a^8*c^8*d^15 - 10*b^8*c^2*d^21 - 85*b^8*c^4*d^19 - 150*b^8*c^6*d^17 - 50*b^8*c^8*d^15 + 50*b^8*c^10*d^13 + 15*b^8*c^12*d^11 - 10*b^8*c^14*d^9 + 212*a*b^7*c^3*d^20 + 212*a*b^7*c^5*d^18 - 320*a*b^7*c^7*d^16 - 420*a*b^7*c^9*d^14 + 20*a*b^7*c^11*d^12 + 92*a*b^7*c^13*d^10 - 8*a*b^7*c^15*d^8 + 96*a^3*b^5*c*d^22 + 24*a^7*b*c^5*d^18 + 32*a^7*b*c^7*d^16 + 12*a^7*b*c^9*d^14 - 196*a^2*b^6*c^2*d^21 + 84*a^2*b^6*c^4*d^19 + 894*a^2*b^6*c^6*d^17 + 430*a^2*b^6*c^8*d^15 - 504*a^2*b^6*c^10*d^13 - 248*a^2*b^6*c^12*d^11 + 62*a^2*b^6*c^14*d^9 - 224*a^3*b^5*c^3*d^20 - 604*a^3*b^5*c^5*d^18 + 320*a^3*b^5*c^7*d^16 + 904*a^3*b^5*c^9*d^14 + 128*a^3*b^5*c^11*d^12 - 172*a^3*b^5*c^13*d^10 + 88*a^4*b^4*c^2*d^21 + 55*a^4*b^4*c^4*d^19 - 440*a^4*b^4*c^6*d^17 - 365*a^4*b^4*c^8*d^15 + 208*a^4*b^4*c^10*d^13 + 193*a^4*b^4*c^12*d^11 + 20*a^5*b^3*c^3*d^20 - 120*a^5*b^3*c^7*d^16 - 160*a^5*b^3*c^9*d^14 - 60*a^5*b^3*c^11*d^12 + 10*a^6*b^2*c^2*d^21 + 60*a^6*b^2*c^4*d^19 + 20*a^6*b^2*c^6*d^17 - 50*a^6*b^2*c^8*d^15 - 30*a^6*b^2*c^10*d^13 + 20*a*b^7*c*d^22 - 4*a^7*b*c*d^22))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5)))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*2i - atan(((((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i - (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(6*a^8*c^4*d^19 - 10*a^2*b^6*d^23 - 27*a^4*b^4*d^23 - 10*a^6*b^2*d^23 - a^8*d^23 + 8*a^8*c^6*d^17 + 3*a^8*c^8*d^15 - 10*b^8*c^2*d^21 - 85*b^8*c^4*d^19 - 150*b^8*c^6*d^17 - 50*b^8*c^8*d^15 + 50*b^8*c^10*d^13 + 15*b^8*c^12*d^11 - 10*b^8*c^14*d^9 + 212*a*b^7*c^3*d^20 + 212*a*b^7*c^5*d^18 - 320*a*b^7*c^7*d^16 - 420*a*b^7*c^9*d^14 + 20*a*b^7*c^11*d^12 + 92*a*b^7*c^13*d^10 - 8*a*b^7*c^15*d^8 + 96*a^3*b^5*c*d^22 + 24*a^7*b*c^5*d^18 + 32*a^7*b*c^7*d^16 + 12*a^7*b*c^9*d^14 - 196*a^2*b^6*c^2*d^21 + 84*a^2*b^6*c^4*d^19 + 894*a^2*b^6*c^6*d^17 + 430*a^2*b^6*c^8*d^15 - 504*a^2*b^6*c^10*d^13 - 248*a^2*b^6*c^12*d^11 + 62*a^2*b^6*c^14*d^9 - 224*a^3*b^5*c^3*d^20 - 604*a^3*b^5*c^5*d^18 + 320*a^3*b^5*c^7*d^16 + 904*a^3*b^5*c^9*d^14 + 128*a^3*b^5*c^11*d^12 - 172*a^3*b^5*c^13*d^10 + 88*a^4*b^4*c^2*d^21 + 55*a^4*b^4*c^4*d^19 - 440*a^4*b^4*c^6*d^17 - 365*a^4*b^4*c^8*d^15 + 208*a^4*b^4*c^10*d^13 + 193*a^4*b^4*c^12*d^11 + 20*a^5*b^3*c^3*d^20 - 120*a^5*b^3*c^7*d^16 - 160*a^5*b^3*c^9*d^14 - 60*a^5*b^3*c^11*d^12 + 10*a^6*b^2*c^2*d^21 + 60*a^6*b^2*c^4*d^19 + 20*a^6*b^2*c^6*d^17 - 50*a^6*b^2*c^8*d^15 - 30*a^6*b^2*c^10*d^13 + 20*a*b^7*c*d^22 - 4*a^7*b*c*d^22))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5)))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4)*(c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*2i - (atan(((((16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) + (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (4*(c + d*tan(e + f*x))^(1/2)*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4)*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2)*1i)/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)) + (((16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) - (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) + (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (4*(c + d*tan(e + f*x))^(1/2)*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4)*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2)*1i)/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))/((16*(6*a^8*c^4*d^19 - 10*a^2*b^6*d^23 - 27*a^4*b^4*d^23 - 10*a^6*b^2*d^23 - a^8*d^23 + 8*a^8*c^6*d^17 + 3*a^8*c^8*d^15 - 10*b^8*c^2*d^21 - 85*b^8*c^4*d^19 - 150*b^8*c^6*d^17 - 50*b^8*c^8*d^15 + 50*b^8*c^10*d^13 + 15*b^8*c^12*d^11 - 10*b^8*c^14*d^9 + 212*a*b^7*c^3*d^20 + 212*a*b^7*c^5*d^18 - 320*a*b^7*c^7*d^16 - 420*a*b^7*c^9*d^14 + 20*a*b^7*c^11*d^12 + 92*a*b^7*c^13*d^10 - 8*a*b^7*c^15*d^8 + 96*a^3*b^5*c*d^22 + 24*a^7*b*c^5*d^18 + 32*a^7*b*c^7*d^16 + 12*a^7*b*c^9*d^14 - 196*a^2*b^6*c^2*d^21 + 84*a^2*b^6*c^4*d^19 + 894*a^2*b^6*c^6*d^17 + 430*a^2*b^6*c^8*d^15 - 504*a^2*b^6*c^10*d^13 - 248*a^2*b^6*c^12*d^11 + 62*a^2*b^6*c^14*d^9 - 224*a^3*b^5*c^3*d^20 - 604*a^3*b^5*c^5*d^18 + 320*a^3*b^5*c^7*d^16 + 904*a^3*b^5*c^9*d^14 + 128*a^3*b^5*c^11*d^12 - 172*a^3*b^5*c^13*d^10 + 88*a^4*b^4*c^2*d^21 + 55*a^4*b^4*c^4*d^19 - 440*a^4*b^4*c^6*d^17 - 365*a^4*b^4*c^8*d^15 + 208*a^4*b^4*c^10*d^13 + 193*a^4*b^4*c^12*d^11 + 20*a^5*b^3*c^3*d^20 - 120*a^5*b^3*c^7*d^16 - 160*a^5*b^3*c^9*d^14 - 60*a^5*b^3*c^11*d^12 + 10*a^6*b^2*c^2*d^21 + 60*a^6*b^2*c^4*d^19 + 20*a^6*b^2*c^6*d^17 - 50*a^6*b^2*c^8*d^15 - 30*a^6*b^2*c^10*d^13 + 20*a*b^7*c*d^22 - 4*a^7*b*c*d^22))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) + (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) - (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (4*(c + d*tan(e + f*x))^(1/2)*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4)*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)) - (((16*(c + d*tan(e + f*x))^(1/2)*(2*b^10*d^20 - a^10*d^20 + 4*a^2*b^8*d^20 + 27*a^4*b^6*d^20 - 15*a^6*b^4*d^20 - 9*a^8*b^2*d^20 + 15*a^10*c^2*d^18 - 15*a^10*c^4*d^16 + a^10*c^6*d^14 + 12*b^10*c^2*d^18 + 55*b^10*c^4*d^16 - 335*b^10*c^6*d^14 + 405*b^10*c^8*d^12 - 13*b^10*c^10*d^10 + 2*b^10*c^12*d^8 - 100*a*b^9*c^3*d^17 + 1840*a*b^9*c^5*d^15 - 3100*a*b^9*c^7*d^13 + 1000*a*b^9*c^9*d^11 - 40*a*b^9*c^11*d^9 - 100*a^3*b^7*c*d^19 + 400*a^5*b^5*c*d^19 + 124*a^7*b^3*c*d^19 + 20*a^9*b*c^3*d^17 - 48*a^9*b*c^5*d^15 + 4*a^9*b*c^7*d^13 + 174*a^2*b^8*c^2*d^18 - 3565*a^2*b^8*c^4*d^16 + 9451*a^2*b^8*c^6*d^14 - 5755*a^2*b^8*c^8*d^12 + 919*a^2*b^8*c^10*d^10 - 12*a^2*b^8*c^12*d^8 + 3600*a^3*b^7*c^3*d^17 - 13896*a^3*b^7*c^5*d^15 + 14032*a^3*b^7*c^7*d^13 - 4180*a^3*b^7*c^9*d^11 + 288*a^3*b^7*c^11*d^9 - 1813*a^4*b^6*c^2*d^18 + 10770*a^4*b^6*c^4*d^16 - 16848*a^4*b^6*c^6*d^14 + 8385*a^4*b^6*c^8*d^12 - 1115*a^4*b^6*c^10*d^10 + 18*a^4*b^6*c^12*d^8 - 3920*a^5*b^5*c^3*d^17 + 9936*a^5*b^5*c^5*d^15 - 8040*a^5*b^5*c^7*d^13 + 1840*a^5*b^5*c^9*d^11 - 56*a^5*b^5*c^11*d^9 + 315*a^6*b^4*c^2*d^18 - 1880*a^6*b^4*c^4*d^16 + 3140*a^6*b^4*c^6*d^14 - 1305*a^6*b^4*c^8*d^12 + 65*a^6*b^4*c^10*d^10 - 560*a^7*b^3*c^3*d^17 + 280*a^7*b^3*c^5*d^15 + 176*a^7*b^3*c^7*d^13 - 20*a^7*b^3*c^9*d^11 + 193*a^8*b^2*c^2*d^18 - 445*a^8*b^2*c^4*d^16 + 207*a^8*b^2*c^6*d^14 - 10*a^8*b^2*c^8*d^12 + 8*a^9*b*c*d^19))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) - (((8*(4*b^12*c*d^17*f^2 - 16*a^11*b*d^18*f^2 - 8*a^12*c*d^17*f^2 - 4*a*b^11*d^18*f^2 + 304*a^3*b^9*d^18*f^2 + 120*a^5*b^7*d^18*f^2 - 320*a^7*b^5*d^18*f^2 - 148*a^9*b^3*d^18*f^2 - 8*a^12*c^3*d^15*f^2 - 400*b^12*c^3*d^15*f^2 + 176*b^12*c^5*d^13*f^2 + 488*b^12*c^7*d^11*f^2 - 92*b^12*c^9*d^9*f^2 + 6576*a^2*b^10*c^3*d^15*f^2 + 400*a^2*b^10*c^5*d^13*f^2 - 6144*a^2*b^10*c^7*d^11*f^2 + 1056*a^2*b^10*c^9*d^9*f^2 - 5408*a^3*b^9*c^2*d^16*f^2 + 3888*a^3*b^9*c^4*d^14*f^2 + 6400*a^3*b^9*c^6*d^12*f^2 - 3072*a^3*b^9*c^8*d^10*f^2 + 128*a^3*b^9*c^10*d^8*f^2 - 648*a^4*b^8*c^3*d^15*f^2 - 1952*a^4*b^8*c^5*d^13*f^2 + 208*a^4*b^8*c^7*d^11*f^2 + 200*a^4*b^8*c^9*d^9*f^2 - 4288*a^5*b^7*c^2*d^16*f^2 + 4112*a^5*b^7*c^4*d^14*f^2 + 5120*a^5*b^7*c^6*d^12*f^2 - 3208*a^5*b^7*c^8*d^10*f^2 + 192*a^5*b^7*c^10*d^8*f^2 - 6688*a^6*b^6*c^3*d^15*f^2 - 2464*a^6*b^6*c^5*d^13*f^2 + 5952*a^6*b^6*c^7*d^11*f^2 - 960*a^6*b^6*c^9*d^9*f^2 + 2624*a^7*b^5*c^2*d^16*f^2 - 2016*a^7*b^5*c^4*d^14*f^2 - 3456*a^7*b^5*c^6*d^12*f^2 + 1504*a^7*b^5*c^8*d^10*f^2 + 992*a^8*b^4*c^3*d^15*f^2 - 144*a^8*b^4*c^5*d^13*f^2 - 888*a^8*b^4*c^7*d^11*f^2 - 12*a^8*b^4*c^9*d^9*f^2 + 352*a^9*b^3*c^2*d^16*f^2 + 520*a^9*b^3*c^4*d^14*f^2 + 32*a^9*b^3*c^6*d^12*f^2 + 12*a^9*b^3*c^8*d^10*f^2 + 48*a^10*b^2*c^3*d^15*f^2 + 144*a^10*b^2*c^5*d^13*f^2 + 1120*a*b^11*c^2*d^16*f^2 - 2776*a*b^11*c^4*d^14*f^2 - 2208*a*b^11*c^6*d^12*f^2 + 1628*a*b^11*c^8*d^10*f^2 - 64*a*b^11*c^10*d^8*f^2 - 1024*a^2*b^10*c*d^17*f^2 + 1312*a^4*b^8*c*d^17*f^2 + 2688*a^6*b^6*c*d^17*f^2 + 260*a^8*b^4*c*d^17*f^2 - 96*a^10*b^2*c*d^17*f^2 - 32*a^11*b*c^2*d^16*f^2 - 16*a^11*b*c^4*d^14*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(4*a^14*c*d^14*f^2 - 8*a^13*b*d^15*f^2 - 60*a*b^13*d^15*f^2 + 76*b^14*c*d^14*f^2 - 52*a^3*b^11*d^15*f^2 - 128*a^5*b^9*d^15*f^2 - 424*a^7*b^7*d^15*f^2 - 380*a^9*b^5*d^15*f^2 - 100*a^11*b^3*d^15*f^2 - 20*b^14*c^3*d^12*f^2 - 304*b^14*c^5*d^10*f^2 + 20*b^14*c^7*d^8*f^2 + 540*a^2*b^12*c^3*d^12*f^2 + 624*a^2*b^12*c^5*d^10*f^2 - 116*a^2*b^12*c^7*d^8*f^2 - 596*a^3*b^11*c^2*d^13*f^2 + 1540*a^3*b^11*c^4*d^11*f^2 - 588*a^3*b^11*c^6*d^9*f^2 + 80*a^4*b^10*c^3*d^12*f^2 + 1760*a^4*b^10*c^5*d^10*f^2 - 216*a^4*b^10*c^7*d^8*f^2 - 2184*a^5*b^9*c^2*d^13*f^2 + 1320*a^5*b^9*c^4*d^11*f^2 + 152*a^5*b^9*c^6*d^9*f^2 - 1960*a^6*b^8*c^3*d^12*f^2 + 800*a^6*b^8*c^5*d^10*f^2 - 8*a^6*b^8*c^7*d^8*f^2 - 584*a^7*b^7*c^2*d^13*f^2 + 840*a^7*b^7*c^4*d^11*f^2 - 56*a^7*b^7*c^6*d^9*f^2 - 1940*a^8*b^6*c^3*d^12*f^2 + 336*a^8*b^6*c^5*d^10*f^2 + 68*a^8*b^6*c^7*d^8*f^2 + 676*a^9*b^5*c^2*d^13*f^2 + 180*a^9*b^5*c^4*d^11*f^2 - 260*a^9*b^5*c^6*d^9*f^2 - 500*a^10*b^4*c^3*d^12*f^2 + 368*a^10*b^4*c^5*d^10*f^2 - 4*a^10*b^4*c^7*d^8*f^2 + 156*a^11*b^3*c^2*d^13*f^2 - 140*a^11*b^3*c^4*d^11*f^2 + 4*a^11*b^3*c^6*d^9*f^2 - 40*a^12*b^2*c^3*d^12*f^2 + 468*a*b^13*c^2*d^13*f^2 + 740*a*b^13*c^4*d^11*f^2 - 532*a*b^13*c^6*d^9*f^2 - 284*a^2*b^12*c*d^14*f^2 + 84*a^4*b^10*c*d^14*f^2 + 1436*a^6*b^8*c*d^14*f^2 + 1108*a^8*b^6*c*d^14*f^2 + 124*a^10*b^4*c*d^14*f^2 + 12*a^12*b^2*c*d^14*f^2 + 16*a^13*b*c^2*d^13*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) + (((8*(96*a^2*b^14*d^13*f^4 + 480*a^4*b^12*d^13*f^4 + 960*a^6*b^10*d^13*f^4 + 960*a^8*b^8*d^13*f^4 + 480*a^10*b^6*d^13*f^4 + 96*a^12*b^4*d^13*f^4 + 128*b^16*c^2*d^11*f^4 + 128*b^16*c^4*d^9*f^4 + 640*a^2*b^14*c^2*d^11*f^4 + 544*a^2*b^14*c^4*d^9*f^4 - 768*a^3*b^13*c^3*d^10*f^4 + 320*a^3*b^13*c^5*d^8*f^4 + 1280*a^4*b^12*c^2*d^11*f^4 + 800*a^4*b^12*c^4*d^9*f^4 - 1440*a^5*b^11*c^3*d^10*f^4 + 640*a^5*b^11*c^5*d^8*f^4 + 1280*a^6*b^10*c^2*d^11*f^4 + 320*a^6*b^10*c^4*d^9*f^4 - 1280*a^7*b^9*c^3*d^10*f^4 + 640*a^7*b^9*c^5*d^8*f^4 + 640*a^8*b^8*c^2*d^11*f^4 - 320*a^8*b^8*c^4*d^9*f^4 - 480*a^9*b^7*c^3*d^10*f^4 + 320*a^9*b^7*c^5*d^8*f^4 + 128*a^10*b^6*c^2*d^11*f^4 - 352*a^10*b^6*c^4*d^9*f^4 + 64*a^11*b^5*c^5*d^8*f^4 - 96*a^12*b^4*c^4*d^9*f^4 + 32*a^13*b^3*c^3*d^10*f^4 - 224*a*b^15*c*d^12*f^4 - 160*a*b^15*c^3*d^10*f^4 + 64*a*b^15*c^5*d^8*f^4 - 1088*a^3*b^13*c*d^12*f^4 - 2080*a^5*b^11*c*d^12*f^4 - 1920*a^7*b^9*c*d^12*f^4 - 800*a^9*b^7*c*d^12*f^4 - 64*a^11*b^5*c*d^12*f^4 + 32*a^13*b^3*c*d^12*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (4*(c + d*tan(e + f*x))^(1/2)*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4)*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2))/(4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2))))*(-4*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)*(a^7*d^5 - 16*a^2*b^5*c^5 + 25*a^3*b^4*d^5 + 10*a^5*b^2*d^5 - 25*b^7*c^3*d^2 + 75*a*b^6*c^2*d^3 - 75*a^2*b^5*c*d^4 + 40*a^3*b^4*c^4*d + 10*a^4*b^3*c*d^4 + 110*a^2*b^5*c^3*d^2 - 90*a^3*b^4*c^2*d^3 - 25*a^4*b^3*c^3*d^2 - 5*a^5*b^2*c^2*d^3 - 40*a*b^6*c^4*d + 5*a^6*b*c*d^4))^(1/2)*1i)/(2*(b^11*f^2 + 4*a^2*b^9*f^2 + 6*a^4*b^7*f^2 + 4*a^6*b^5*f^2 + a^8*b^3*f^2)) - (d*(c + d*tan(e + f*x))^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(b*(a^2 + b^2)*(b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f))","B"
1246,1,116010,355,44.602711,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^3,x)","\mathrm{atan}\left(\frac{\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{3\,a^{11}\,c^8\,d^{15}+8\,a^{11}\,c^6\,d^{17}+6\,a^{11}\,c^4\,d^{19}-a^{11}\,d^{23}+41\,a^{10}\,b\,c^9\,d^{14}+112\,a^{10}\,b\,c^7\,d^{16}+90\,a^{10}\,b\,c^5\,d^{18}+8\,a^{10}\,b\,c^3\,d^{20}-11\,a^{10}\,b\,c\,d^{22}-59\,a^9\,b^2\,c^{10}\,d^{13}-12\,a^9\,b^2\,c^8\,d^{15}+282\,a^9\,b^2\,c^6\,d^{17}+328\,a^9\,b^2\,c^4\,d^{19}+57\,a^9\,b^2\,c^2\,d^{21}-36\,a^9\,b^2\,d^{23}-1185\,a^8\,b^3\,c^{11}\,d^{12}-2924\,a^8\,b^3\,c^9\,d^{14}-1658\,a^8\,b^3\,c^7\,d^{16}+720\,a^8\,b^3\,c^5\,d^{18}+643\,a^8\,b^3\,c^3\,d^{20}+4\,a^8\,b^3\,c\,d^{22}+4472\,a^7\,b^4\,c^{12}\,d^{11}+4548\,a^7\,b^4\,c^{10}\,d^{13}-9958\,a^7\,b^4\,c^8\,d^{15}-12744\,a^7\,b^4\,c^6\,d^{17}-84\,a^7\,b^4\,c^4\,d^{19}+2324\,a^7\,b^4\,c^2\,d^{21}-302\,a^7\,b^4\,d^{23}-6024\,a^6\,b^5\,c^{13}\,d^{10}+8876\,a^6\,b^5\,c^{11}\,d^{12}+41118\,a^6\,b^5\,c^9\,d^{14}+13528\,a^6\,b^5\,c^7\,d^{16}-27004\,a^6\,b^5\,c^5\,d^{18}-10644\,a^6\,b^5\,c^3\,d^{20}+3670\,a^6\,b^5\,c\,d^{22}+3520\,a^5\,b^6\,c^{14}\,d^9-23768\,a^5\,b^6\,c^{12}\,d^{11}-35218\,a^5\,b^6\,c^{10}\,d^{13}+52852\,a^5\,b^6\,c^8\,d^{15}+79772\,a^5\,b^6\,c^6\,d^{17}+464\,a^5\,b^6\,c^4\,d^{19}-18138\,a^5\,b^6\,c^2\,d^{21}+388\,a^5\,b^6\,d^{23}-768\,a^4\,b^7\,c^{15}\,d^8+17896\,a^4\,b^7\,c^{13}\,d^{10}-10806\,a^4\,b^7\,c^{11}\,d^{12}-98948\,a^4\,b^7\,c^9\,d^{14}-45372\,a^4\,b^7\,c^7\,d^{16}+64944\,a^4\,b^7\,c^5\,d^{18}+36994\,a^4\,b^7\,c^3\,d^{20}-3844\,a^4\,b^7\,c\,d^{22}-4992\,a^3\,b^8\,c^{14}\,d^9+24808\,a^3\,b^8\,c^{12}\,d^{11}+48036\,a^3\,b^8\,c^{10}\,d^{13}-41893\,a^3\,b^8\,c^8\,d^{15}-91184\,a^3\,b^8\,c^6\,d^{17}-18786\,a^3\,b^8\,c^4\,d^{19}+12020\,a^3\,b^8\,c^2\,d^{21}-249\,a^3\,b^8\,d^{23}+256\,a^2\,b^9\,c^{15}\,d^8-9368\,a^2\,b^9\,c^{13}\,d^{10}+1036\,a^2\,b^9\,c^{11}\,d^{12}+47009\,a^2\,b^9\,c^9\,d^{14}+38888\,a^2\,b^9\,c^7\,d^{16}-9134\,a^2\,b^9\,c^5\,d^{18}-10076\,a^2\,b^9\,c^3\,d^{20}+1597\,a^2\,b^9\,c\,d^{22}+704\,a\,b^{10}\,c^{14}\,d^9-5320\,a\,b^{10}\,c^{12}\,d^{11}-13515\,a\,b^{10}\,c^{10}\,d^{13}-3312\,a\,b^{10}\,c^8\,d^{15}+7514\,a\,b^{10}\,c^6\,d^{17}+1848\,a\,b^{10}\,c^4\,d^{19}-1367\,a\,b^{10}\,c^2\,d^{21}+120\,a\,b^{10}\,d^{23}+504\,b^{11}\,c^{13}\,d^{10}+399\,b^{11}\,c^{11}\,d^{12}-1448\,b^{11}\,c^9\,d^{14}-1818\,b^{11}\,c^7\,d^{16}-336\,b^{11}\,c^5\,d^{18}+19\,b^{11}\,c^3\,d^{20}-120\,b^{11}\,c\,d^{22}}{a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5}+\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{3\,a^{11}\,c^8\,d^{15}+8\,a^{11}\,c^6\,d^{17}+6\,a^{11}\,c^4\,d^{19}-a^{11}\,d^{23}+41\,a^{10}\,b\,c^9\,d^{14}+112\,a^{10}\,b\,c^7\,d^{16}+90\,a^{10}\,b\,c^5\,d^{18}+8\,a^{10}\,b\,c^3\,d^{20}-11\,a^{10}\,b\,c\,d^{22}-59\,a^9\,b^2\,c^{10}\,d^{13}-12\,a^9\,b^2\,c^8\,d^{15}+282\,a^9\,b^2\,c^6\,d^{17}+328\,a^9\,b^2\,c^4\,d^{19}+57\,a^9\,b^2\,c^2\,d^{21}-36\,a^9\,b^2\,d^{23}-1185\,a^8\,b^3\,c^{11}\,d^{12}-2924\,a^8\,b^3\,c^9\,d^{14}-1658\,a^8\,b^3\,c^7\,d^{16}+720\,a^8\,b^3\,c^5\,d^{18}+643\,a^8\,b^3\,c^3\,d^{20}+4\,a^8\,b^3\,c\,d^{22}+4472\,a^7\,b^4\,c^{12}\,d^{11}+4548\,a^7\,b^4\,c^{10}\,d^{13}-9958\,a^7\,b^4\,c^8\,d^{15}-12744\,a^7\,b^4\,c^6\,d^{17}-84\,a^7\,b^4\,c^4\,d^{19}+2324\,a^7\,b^4\,c^2\,d^{21}-302\,a^7\,b^4\,d^{23}-6024\,a^6\,b^5\,c^{13}\,d^{10}+8876\,a^6\,b^5\,c^{11}\,d^{12}+41118\,a^6\,b^5\,c^9\,d^{14}+13528\,a^6\,b^5\,c^7\,d^{16}-27004\,a^6\,b^5\,c^5\,d^{18}-10644\,a^6\,b^5\,c^3\,d^{20}+3670\,a^6\,b^5\,c\,d^{22}+3520\,a^5\,b^6\,c^{14}\,d^9-23768\,a^5\,b^6\,c^{12}\,d^{11}-35218\,a^5\,b^6\,c^{10}\,d^{13}+52852\,a^5\,b^6\,c^8\,d^{15}+79772\,a^5\,b^6\,c^6\,d^{17}+464\,a^5\,b^6\,c^4\,d^{19}-18138\,a^5\,b^6\,c^2\,d^{21}+388\,a^5\,b^6\,d^{23}-768\,a^4\,b^7\,c^{15}\,d^8+17896\,a^4\,b^7\,c^{13}\,d^{10}-10806\,a^4\,b^7\,c^{11}\,d^{12}-98948\,a^4\,b^7\,c^9\,d^{14}-45372\,a^4\,b^7\,c^7\,d^{16}+64944\,a^4\,b^7\,c^5\,d^{18}+36994\,a^4\,b^7\,c^3\,d^{20}-3844\,a^4\,b^7\,c\,d^{22}-4992\,a^3\,b^8\,c^{14}\,d^9+24808\,a^3\,b^8\,c^{12}\,d^{11}+48036\,a^3\,b^8\,c^{10}\,d^{13}-41893\,a^3\,b^8\,c^8\,d^{15}-91184\,a^3\,b^8\,c^6\,d^{17}-18786\,a^3\,b^8\,c^4\,d^{19}+12020\,a^3\,b^8\,c^2\,d^{21}-249\,a^3\,b^8\,d^{23}+256\,a^2\,b^9\,c^{15}\,d^8-9368\,a^2\,b^9\,c^{13}\,d^{10}+1036\,a^2\,b^9\,c^{11}\,d^{12}+47009\,a^2\,b^9\,c^9\,d^{14}+38888\,a^2\,b^9\,c^7\,d^{16}-9134\,a^2\,b^9\,c^5\,d^{18}-10076\,a^2\,b^9\,c^3\,d^{20}+1597\,a^2\,b^9\,c\,d^{22}+704\,a\,b^{10}\,c^{14}\,d^9-5320\,a\,b^{10}\,c^{12}\,d^{11}-13515\,a\,b^{10}\,c^{10}\,d^{13}-3312\,a\,b^{10}\,c^8\,d^{15}+7514\,a\,b^{10}\,c^6\,d^{17}+1848\,a\,b^{10}\,c^4\,d^{19}-1367\,a\,b^{10}\,c^2\,d^{21}+120\,a\,b^{10}\,d^{23}+504\,b^{11}\,c^{13}\,d^{10}+399\,b^{11}\,c^{11}\,d^{12}-1448\,b^{11}\,c^9\,d^{14}-1818\,b^{11}\,c^7\,d^{16}-336\,b^{11}\,c^5\,d^{18}+19\,b^{11}\,c^3\,d^{20}-120\,b^{11}\,c\,d^{22}}{a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5}+\left(\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\left(\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(c^{10}+5\,c^8\,d^2+10\,c^6\,d^4+10\,c^4\,d^6+5\,c^2\,d^8+d^{10}\right)\,\left(16\,a^{12}\,f^4+96\,a^{10}\,b^2\,f^4+240\,a^8\,b^4\,f^4+320\,a^6\,b^6\,f^4+240\,a^4\,b^8\,f^4+96\,a^2\,b^{10}\,f^4+16\,b^{12}\,f^4\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(a^{12}\,f^4+6\,a^{10}\,b^2\,f^4+15\,a^8\,b^4\,f^4+20\,a^6\,b^6\,f^4+15\,a^4\,b^8\,f^4+6\,a^2\,b^{10}\,f^4+b^{12}\,f^4\right)}}\,2{}\mathrm{i}+\frac{\frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\left(a^3\,d^3+7\,a^2\,b\,c\,d^2-8\,a\,b^2\,c^2\,d+9\,a\,b^2\,d^3-9\,b^3\,c\,d^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-a^4\,d^4+10\,a^3\,b\,c\,d^3-17\,a^2\,b^2\,c^2\,d^2+7\,a^2\,b^2\,d^4+8\,a\,b^3\,c^3\,d-14\,a\,b^3\,c\,d^3+7\,b^4\,c^2\,d^2\right)}{4\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{a^2\,d^2\,f-\left(2\,b^2\,c\,f-2\,a\,b\,d\,f\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+b^2\,c^2\,f+b^2\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2-2\,a\,b\,c\,d\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\left(\frac{\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}\,1{}\mathrm{i}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}-\frac{\left(\frac{\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\left(\frac{\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}\,1{}\mathrm{i}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}}{\frac{\left(\frac{\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\left(\frac{\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}-\frac{3\,a^{11}\,c^8\,d^{15}+8\,a^{11}\,c^6\,d^{17}+6\,a^{11}\,c^4\,d^{19}-a^{11}\,d^{23}+41\,a^{10}\,b\,c^9\,d^{14}+112\,a^{10}\,b\,c^7\,d^{16}+90\,a^{10}\,b\,c^5\,d^{18}+8\,a^{10}\,b\,c^3\,d^{20}-11\,a^{10}\,b\,c\,d^{22}-59\,a^9\,b^2\,c^{10}\,d^{13}-12\,a^9\,b^2\,c^8\,d^{15}+282\,a^9\,b^2\,c^6\,d^{17}+328\,a^9\,b^2\,c^4\,d^{19}+57\,a^9\,b^2\,c^2\,d^{21}-36\,a^9\,b^2\,d^{23}-1185\,a^8\,b^3\,c^{11}\,d^{12}-2924\,a^8\,b^3\,c^9\,d^{14}-1658\,a^8\,b^3\,c^7\,d^{16}+720\,a^8\,b^3\,c^5\,d^{18}+643\,a^8\,b^3\,c^3\,d^{20}+4\,a^8\,b^3\,c\,d^{22}+4472\,a^7\,b^4\,c^{12}\,d^{11}+4548\,a^7\,b^4\,c^{10}\,d^{13}-9958\,a^7\,b^4\,c^8\,d^{15}-12744\,a^7\,b^4\,c^6\,d^{17}-84\,a^7\,b^4\,c^4\,d^{19}+2324\,a^7\,b^4\,c^2\,d^{21}-302\,a^7\,b^4\,d^{23}-6024\,a^6\,b^5\,c^{13}\,d^{10}+8876\,a^6\,b^5\,c^{11}\,d^{12}+41118\,a^6\,b^5\,c^9\,d^{14}+13528\,a^6\,b^5\,c^7\,d^{16}-27004\,a^6\,b^5\,c^5\,d^{18}-10644\,a^6\,b^5\,c^3\,d^{20}+3670\,a^6\,b^5\,c\,d^{22}+3520\,a^5\,b^6\,c^{14}\,d^9-23768\,a^5\,b^6\,c^{12}\,d^{11}-35218\,a^5\,b^6\,c^{10}\,d^{13}+52852\,a^5\,b^6\,c^8\,d^{15}+79772\,a^5\,b^6\,c^6\,d^{17}+464\,a^5\,b^6\,c^4\,d^{19}-18138\,a^5\,b^6\,c^2\,d^{21}+388\,a^5\,b^6\,d^{23}-768\,a^4\,b^7\,c^{15}\,d^8+17896\,a^4\,b^7\,c^{13}\,d^{10}-10806\,a^4\,b^7\,c^{11}\,d^{12}-98948\,a^4\,b^7\,c^9\,d^{14}-45372\,a^4\,b^7\,c^7\,d^{16}+64944\,a^4\,b^7\,c^5\,d^{18}+36994\,a^4\,b^7\,c^3\,d^{20}-3844\,a^4\,b^7\,c\,d^{22}-4992\,a^3\,b^8\,c^{14}\,d^9+24808\,a^3\,b^8\,c^{12}\,d^{11}+48036\,a^3\,b^8\,c^{10}\,d^{13}-41893\,a^3\,b^8\,c^8\,d^{15}-91184\,a^3\,b^8\,c^6\,d^{17}-18786\,a^3\,b^8\,c^4\,d^{19}+12020\,a^3\,b^8\,c^2\,d^{21}-249\,a^3\,b^8\,d^{23}+256\,a^2\,b^9\,c^{15}\,d^8-9368\,a^2\,b^9\,c^{13}\,d^{10}+1036\,a^2\,b^9\,c^{11}\,d^{12}+47009\,a^2\,b^9\,c^9\,d^{14}+38888\,a^2\,b^9\,c^7\,d^{16}-9134\,a^2\,b^9\,c^5\,d^{18}-10076\,a^2\,b^9\,c^3\,d^{20}+1597\,a^2\,b^9\,c\,d^{22}+704\,a\,b^{10}\,c^{14}\,d^9-5320\,a\,b^{10}\,c^{12}\,d^{11}-13515\,a\,b^{10}\,c^{10}\,d^{13}-3312\,a\,b^{10}\,c^8\,d^{15}+7514\,a\,b^{10}\,c^6\,d^{17}+1848\,a\,b^{10}\,c^4\,d^{19}-1367\,a\,b^{10}\,c^2\,d^{21}+120\,a\,b^{10}\,d^{23}+504\,b^{11}\,c^{13}\,d^{10}+399\,b^{11}\,c^{11}\,d^{12}-1448\,b^{11}\,c^9\,d^{14}-1818\,b^{11}\,c^7\,d^{16}-336\,b^{11}\,c^5\,d^{18}+19\,b^{11}\,c^3\,d^{20}-120\,b^{11}\,c\,d^{22}}{a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5}+\frac{\left(\frac{\left(\frac{8\,a^{17}\,c^3\,d^{15}\,f^2+8\,a^{17}\,c\,d^{17}\,f^2+92\,a^{16}\,b\,c^4\,d^{14}\,f^2+112\,a^{16}\,b\,c^2\,d^{16}\,f^2+20\,a^{16}\,b\,d^{18}\,f^2-400\,a^{15}\,b^2\,c^5\,d^{13}\,f^2+96\,a^{15}\,b^2\,c^3\,d^{15}\,f^2+496\,a^{15}\,b^2\,c\,d^{17}\,f^2-192\,a^{14}\,b^3\,c^8\,d^{10}\,f^2-3412\,a^{14}\,b^3\,c^6\,d^{12}\,f^2-4460\,a^{14}\,b^3\,c^4\,d^{14}\,f^2-476\,a^{14}\,b^3\,c^2\,d^{16}\,f^2+764\,a^{14}\,b^3\,d^{18}\,f^2+256\,a^{13}\,b^4\,c^9\,d^9\,f^2+19456\,a^{13}\,b^4\,c^7\,d^{11}\,f^2-6896\,a^{13}\,b^4\,c^5\,d^{13}\,f^2-24512\,a^{13}\,b^4\,c^3\,d^{15}\,f^2+1584\,a^{13}\,b^4\,c\,d^{17}\,f^2-64\,a^{12}\,b^5\,c^{10}\,d^8\,f^2-40192\,a^{12}\,b^5\,c^8\,d^{10}\,f^2+104452\,a^{12}\,b^5\,c^6\,d^{12}\,f^2+65964\,a^{12}\,b^5\,c^4\,d^{14}\,f^2-72724\,a^{12}\,b^5\,c^2\,d^{16}\,f^2+5892\,a^{12}\,b^5\,d^{18}\,f^2+34816\,a^{11}\,b^6\,c^9\,d^9\,f^2-257792\,a^{11}\,b^6\,c^7\,d^{11}\,f^2+83760\,a^{11}\,b^6\,c^5\,d^{13}\,f^2+292448\,a^{11}\,b^6\,c^3\,d^{15}\,f^2-83920\,a^{11}\,b^6\,c\,d^{17}\,f^2-10368\,a^{10}\,b^7\,c^{10}\,d^8\,f^2+232512\,a^{10}\,b^7\,c^8\,d^{10}\,f^2-434500\,a^{10}\,b^7\,c^6\,d^{12}\,f^2-342716\,a^{10}\,b^7\,c^4\,d^{14}\,f^2+323668\,a^{10}\,b^7\,c^2\,d^{16}\,f^2-10996\,a^{10}\,b^7\,d^{18}\,f^2-64256\,a^9\,b^8\,c^9\,d^9\,f^2+327936\,a^9\,b^8\,c^7\,d^{11}\,f^2+31056\,a^9\,b^8\,c^5\,d^{13}\,f^2-346352\,a^9\,b^8\,c^3\,d^{15}\,f^2+14784\,a^9\,b^8\,c\,d^{17}\,f^2-3776\,a^8\,b^9\,c^{10}\,d^8\,f^2+96768\,a^8\,b^9\,c^8\,d^{10}\,f^2-350476\,a^8\,b^9\,c^6\,d^{12}\,f^2-108972\,a^8\,b^9\,c^4\,d^{14}\,f^2+325404\,a^8\,b^9\,c^2\,d^{16}\,f^2-16644\,a^8\,b^9\,d^{18}\,f^2-133120\,a^7\,b^{10}\,c^9\,d^9\,f^2+891392\,a^7\,b^{10}\,c^7\,d^{11}\,f^2-235184\,a^7\,b^{10}\,c^5\,d^{13}\,f^2-1071584\,a^7\,b^{10}\,c^3\,d^{15}\,f^2+188112\,a^7\,b^{10}\,c\,d^{17}\,f^2+17664\,a^6\,b^{11}\,c^{10}\,d^8\,f^2-508992\,a^6\,b^{11}\,c^8\,d^{10}\,f^2+822084\,a^6\,b^{11}\,c^6\,d^{12}\,f^2+859132\,a^6\,b^{11}\,c^4\,d^{14}\,f^2-474836\,a^6\,b^{11}\,c^2\,d^{16}\,f^2+14772\,a^6\,b^{11}\,d^{18}\,f^2+51968\,a^5\,b^{12}\,c^9\,d^9\,f^2-262656\,a^5\,b^{12}\,c^7\,d^{11}\,f^2-188624\,a^5\,b^{12}\,c^5\,d^{13}\,f^2+125696\,a^5\,b^{12}\,c^3\,d^{15}\,f^2-304\,a^5\,b^{12}\,c\,d^{17}\,f^2+5696\,a^4\,b^{13}\,c^{10}\,d^8\,f^2-183040\,a^4\,b^{13}\,c^8\,d^{10}\,f^2+420684\,a^4\,b^{13}\,c^6\,d^{12}\,f^2+324004\,a^4\,b^{13}\,c^4\,d^{14}\,f^2-274940\,a^4\,b^{13}\,c^2\,d^{16}\,f^2+10476\,a^4\,b^{13}\,d^{18}\,f^2+73728\,a^3\,b^{14}\,c^9\,d^9\,f^2-482048\,a^3\,b^{14}\,c^7\,d^{11}\,f^2-4848\,a^3\,b^{14}\,c^5\,d^{13}\,f^2+470816\,a^3\,b^{14}\,c^3\,d^{15}\,f^2-80112\,a^3\,b^{14}\,c\,d^{17}\,f^2-5248\,a^2\,b^{15}\,c^{10}\,d^8\,f^2+145600\,a^2\,b^{15}\,c^8\,d^{10}\,f^2-203692\,a^2\,b^{15}\,c^6\,d^{12}\,f^2-223956\,a^2\,b^{15}\,c^4\,d^{14}\,f^2+125788\,a^2\,b^{15}\,c^2\,d^{16}\,f^2-4796\,a^2\,b^{15}\,d^{18}\,f^2-12544\,a\,b^{16}\,c^9\,d^9\,f^2+66816\,a\,b^{16}\,c^7\,d^{11}\,f^2+7792\,a\,b^{16}\,c^5\,d^{13}\,f^2-63064\,a\,b^{16}\,c^3\,d^{15}\,f^2+8504\,a\,b^{16}\,c\,d^{17}\,f^2+192\,b^{17}\,c^{10}\,d^8\,f^2-4608\,b^{17}\,c^8\,d^{10}\,f^2+5820\,b^{17}\,c^6\,d^{12}\,f^2+6912\,b^{17}\,c^4\,d^{14}\,f^2-3708\,b^{17}\,c^2\,d^{16}\,f^2}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\left(\frac{\left(\frac{512\,a^{20}\,b^3\,c^3\,d^{10}\,f^4+512\,a^{20}\,b^3\,c\,d^{12}\,f^4-1792\,a^{19}\,b^4\,c^4\,d^9\,f^4-384\,a^{19}\,b^4\,c^2\,d^{11}\,f^4+1408\,a^{19}\,b^4\,d^{13}\,f^4+1280\,a^{18}\,b^5\,c^5\,d^8\,f^4-640\,a^{18}\,b^5\,c^3\,d^{10}\,f^4-1920\,a^{18}\,b^5\,c\,d^{12}\,f^4-8960\,a^{17}\,b^6\,c^4\,d^9\,f^4+640\,a^{17}\,b^6\,c^2\,d^{11}\,f^4+9600\,a^{17}\,b^6\,d^{13}\,f^4+9472\,a^{16}\,b^7\,c^5\,d^8\,f^4-22656\,a^{16}\,b^7\,c^3\,d^{10}\,f^4-32128\,a^{16}\,b^7\,c\,d^{12}\,f^4-7168\,a^{15}\,b^8\,c^4\,d^9\,f^4+18944\,a^{15}\,b^8\,c^2\,d^{11}\,f^4+26112\,a^{15}\,b^8\,d^{13}\,f^4+29696\,a^{14}\,b^9\,c^5\,d^8\,f^4-96768\,a^{14}\,b^9\,c^3\,d^{10}\,f^4-126464\,a^{14}\,b^9\,c\,d^{12}\,f^4+50176\,a^{13}\,b^{10}\,c^4\,d^9\,f^4+82432\,a^{13}\,b^{10}\,c^2\,d^{11}\,f^4+32256\,a^{13}\,b^{10}\,d^{13}\,f^4+50176\,a^{12}\,b^{11}\,c^5\,d^8\,f^4-204288\,a^{12}\,b^{11}\,c^3\,d^{10}\,f^4-254464\,a^{12}\,b^{11}\,c\,d^{12}\,f^4+175616\,a^{11}\,b^{12}\,c^4\,d^9\,f^4+180992\,a^{11}\,b^{12}\,c^2\,d^{11}\,f^4+5376\,a^{11}\,b^{12}\,d^{13}\,f^4+46592\,a^{10}\,b^{13}\,c^5\,d^8\,f^4-252672\,a^{10}\,b^{13}\,c^3\,d^{10}\,f^4-299264\,a^{10}\,b^{13}\,c\,d^{12}\,f^4+275968\,a^9\,b^{14}\,c^4\,d^9\,f^4+238336\,a^9\,b^{14}\,c^2\,d^{11}\,f^4-37632\,a^9\,b^{14}\,d^{13}\,f^4+17920\,a^8\,b^{15}\,c^5\,d^8\,f^4-188160\,a^8\,b^{15}\,c^3\,d^{10}\,f^4-206080\,a^8\,b^{15}\,c\,d^{12}\,f^4+250880\,a^7\,b^{16}\,c^4\,d^9\,f^4+197120\,a^7\,b^{16}\,c^2\,d^{11}\,f^4-53760\,a^7\,b^{16}\,d^{13}\,f^4-7168\,a^6\,b^{17}\,c^5\,d^8\,f^4-78336\,a^6\,b^{17}\,c^3\,d^{10}\,f^4-71168\,a^6\,b^{17}\,c\,d^{12}\,f^4+136192\,a^5\,b^{18}\,c^4\,d^9\,f^4+100864\,a^5\,b^{18}\,c^2\,d^{11}\,f^4-35328\,a^5\,b^{18}\,d^{13}\,f^4-11264\,a^4\,b^{19}\,c^5\,d^8\,f^4-12288\,a^4\,b^{19}\,c^3\,d^{10}\,f^4-1024\,a^4\,b^{19}\,c\,d^{12}\,f^4+41216\,a^3\,b^{20}\,c^4\,d^9\,f^4+29312\,a^3\,b^{20}\,c^2\,d^{11}\,f^4-11904\,a^3\,b^{20}\,d^{13}\,f^4-4864\,a^2\,b^{21}\,c^5\,d^8\,f^4+2432\,a^2\,b^{21}\,c^3\,d^{10}\,f^4+7296\,a^2\,b^{21}\,c\,d^{12}\,f^4+5376\,a\,b^{22}\,c^4\,d^9\,f^4+3712\,a\,b^{22}\,c^2\,d^{11}\,f^4-1664\,a\,b^{22}\,d^{13}\,f^4-768\,b^{23}\,c^5\,d^8\,f^4+896\,b^{23}\,c^3\,d^{10}\,f^4+1664\,b^{23}\,c\,d^{12}\,f^4}{2\,\left(a^{16}\,b\,f^5+8\,a^{14}\,b^3\,f^5+28\,a^{12}\,b^5\,f^5+56\,a^{10}\,b^7\,f^5+70\,a^8\,b^9\,f^5+56\,a^6\,b^{11}\,f^5+28\,a^4\,b^{13}\,f^5+8\,a^2\,b^{15}\,f^5+b^{17}\,f^5\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}\,\left(256\,a^{23}\,b^3\,c\,d^9\,f^4-256\,a^{22}\,b^4\,c^2\,d^8\,f^4-512\,a^{22}\,b^4\,d^{10}\,f^4+2816\,a^{21}\,b^5\,c\,d^9\,f^4-1792\,a^{20}\,b^6\,c^2\,d^8\,f^4-4608\,a^{20}\,b^6\,d^{10}\,f^4+14080\,a^{19}\,b^7\,c\,d^9\,f^4-3840\,a^{18}\,b^8\,c^2\,d^8\,f^4-17920\,a^{18}\,b^8\,d^{10}\,f^4+42240\,a^{17}\,b^9\,c\,d^9\,f^4+3840\,a^{16}\,b^{10}\,c^2\,d^8\,f^4-38400\,a^{16}\,b^{10}\,d^{10}\,f^4+84480\,a^{15}\,b^{11}\,c\,d^9\,f^4+38400\,a^{14}\,b^{12}\,c^2\,d^8\,f^4-46080\,a^{14}\,b^{12}\,d^{10}\,f^4+118272\,a^{13}\,b^{13}\,c\,d^9\,f^4+96768\,a^{12}\,b^{14}\,c^2\,d^8\,f^4-21504\,a^{12}\,b^{14}\,d^{10}\,f^4+118272\,a^{11}\,b^{15}\,c\,d^9\,f^4+139776\,a^{10}\,b^{16}\,c^2\,d^8\,f^4+21504\,a^{10}\,b^{16}\,d^{10}\,f^4+84480\,a^9\,b^{17}\,c\,d^9\,f^4+130560\,a^8\,b^{18}\,c^2\,d^8\,f^4+46080\,a^8\,b^{18}\,d^{10}\,f^4+42240\,a^7\,b^{19}\,c\,d^9\,f^4+80640\,a^6\,b^{20}\,c^2\,d^8\,f^4+38400\,a^6\,b^{20}\,d^{10}\,f^4+14080\,a^5\,b^{21}\,c\,d^9\,f^4+32000\,a^4\,b^{22}\,c^2\,d^8\,f^4+17920\,a^4\,b^{22}\,d^{10}\,f^4+2816\,a^3\,b^{23}\,c\,d^9\,f^4+7424\,a^2\,b^{24}\,c^2\,d^8\,f^4+4608\,a^2\,b^{24}\,d^{10}\,f^4+256\,a\,b^{25}\,c\,d^9\,f^4+768\,b^{26}\,c^2\,d^8\,f^4+512\,b^{26}\,d^{10}\,f^4\right)}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}-\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{20}\,c\,d^{14}\,f^2-56\,a^{19}\,b\,c^2\,d^{13}\,f^2+8\,a^{19}\,b\,d^{15}\,f^2+60\,a^{18}\,b^2\,c^3\,d^{12}\,f^2-44\,a^{18}\,b^2\,c\,d^{14}\,f^2-64\,a^{17}\,b^3\,c^6\,d^9\,f^2+2560\,a^{17}\,b^3\,c^4\,d^{11}\,f^2-1664\,a^{17}\,b^3\,c^2\,d^{13}\,f^2+384\,a^{17}\,b^3\,d^{15}\,f^2+64\,a^{16}\,b^4\,c^7\,d^8\,f^2-7936\,a^{16}\,b^4\,c^5\,d^{10}\,f^2+11300\,a^{16}\,b^4\,c^3\,d^{12}\,f^2-1936\,a^{16}\,b^4\,c\,d^{14}\,f^2+7680\,a^{15}\,b^5\,c^6\,d^9\,f^2-15360\,a^{15}\,b^5\,c^4\,d^{11}\,f^2-5408\,a^{15}\,b^5\,c^2\,d^{13}\,f^2+3552\,a^{15}\,b^5\,d^{15}\,f^2-2560\,a^{14}\,b^6\,c^7\,d^8\,f^2-2944\,a^{14}\,b^6\,c^5\,d^{10}\,f^2+54960\,a^{14}\,b^6\,c^3\,d^{12}\,f^2-29360\,a^{14}\,b^6\,c\,d^{14}\,f^2+9984\,a^{13}\,b^7\,c^6\,d^9\,f^2-84480\,a^{13}\,b^7\,c^4\,d^{11}\,f^2+68032\,a^{13}\,b^7\,c^2\,d^{13}\,f^2+4032\,a^{13}\,b^7\,d^{15}\,f^2-3840\,a^{12}\,b^8\,c^7\,d^8\,f^2+17792\,a^{12}\,b^8\,c^5\,d^{10}\,f^2+34960\,a^{12}\,b^8\,c^3\,d^{12}\,f^2-58424\,a^{12}\,b^8\,c\,d^{14}\,f^2+1536\,a^{11}\,b^9\,c^6\,d^9\,f^2-163840\,a^{11}\,b^9\,c^4\,d^{11}\,f^2+230832\,a^{11}\,b^9\,c^2\,d^{13}\,f^2-5328\,a^{11}\,b^9\,d^{15}\,f^2+5632\,a^{10}\,b^{10}\,c^7\,d^8\,f^2-1408\,a^{10}\,b^{10}\,c^5\,d^{10}\,f^2-175800\,a^{10}\,b^{10}\,c^3\,d^{12}\,f^2+2392\,a^{10}\,b^{10}\,c\,d^{14}\,f^2+49280\,a^9\,b^{11}\,c^6\,d^9\,f^2-186880\,a^9\,b^{11}\,c^4\,d^{11}\,f^2+201280\,a^9\,b^{11}\,c^2\,d^{13}\,f^2-5056\,a^9\,b^{11}\,d^{15}\,f^2+8064\,a^8\,b^{12}\,c^7\,d^8\,f^2+31104\,a^8\,b^{12}\,c^5\,d^{10}\,f^2-345160\,a^8\,b^{12}\,c^3\,d^{12}\,f^2+73456\,a^8\,b^{12}\,c\,d^{14}\,f^2+109056\,a^7\,b^{13}\,c^6\,d^9\,f^2-117760\,a^7\,b^{13}\,c^4\,d^{11}\,f^2-41760\,a^7\,b^{13}\,c^2\,d^{13}\,f^2+10208\,a^7\,b^{13}\,d^{15}\,f^2-7680\,a^6\,b^{14}\,c^7\,d^8\,f^2+152960\,a^6\,b^{14}\,c^5\,d^{10}\,f^2-219280\,a^6\,b^{14}\,c^3\,d^{12}\,f^2+23824\,a^6\,b^{14}\,c\,d^{14}\,f^2+60160\,a^5\,b^{15}\,c^6\,d^9\,f^2+2560\,a^5\,b^{15}\,c^4\,d^{11}\,f^2-114112\,a^5\,b^{15}\,c^2\,d^{13}\,f^2+11328\,a^5\,b^{15}\,d^{15}\,f^2-13056\,a^4\,b^{16}\,c^7\,d^8\,f^2+151680\,a^4\,b^{16}\,c^5\,d^{10}\,f^2-29360\,a^4\,b^{16}\,c^3\,d^{12}\,f^2-32740\,a^4\,b^{16}\,c\,d^{14}\,f^2-11776\,a^3\,b^{17}\,c^6\,d^9\,f^2+51200\,a^3\,b^{17}\,c^4\,d^{11}\,f^2-18744\,a^3\,b^{17}\,c^2\,d^{13}\,f^2+776\,a^3\,b^{17}\,d^{15}\,f^2-3584\,a^2\,b^{18}\,c^7\,d^8\,f^2+39808\,a^2\,b^{18}\,c^5\,d^{10}\,f^2+12380\,a^2\,b^{18}\,c^3\,d^{12}\,f^2-15244\,a^2\,b^{18}\,c\,d^{14}\,f^2-12864\,a\,b^{19}\,c^6\,d^9\,f^2+20480\,a\,b^{19}\,c^4\,d^{11}\,f^2+11328\,a\,b^{19}\,c^2\,d^{13}\,f^2-1472\,a\,b^{19}\,d^{15}\,f^2+576\,b^{20}\,c^7\,d^8\,f^2-4224\,b^{20}\,c^5\,d^{10}\,f^2+580\,b^{20}\,c^3\,d^{12}\,f^2+1216\,b^{20}\,c\,d^{14}\,f^2\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}+\frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^{14}\,c^6\,d^{14}-15\,a^{14}\,c^4\,d^{16}+15\,a^{14}\,c^2\,d^{18}-a^{14}\,d^{20}+14\,a^{13}\,b\,c^7\,d^{13}-186\,a^{13}\,b\,c^5\,d^{15}+130\,a^{13}\,b\,c^3\,d^{17}+10\,a^{13}\,b\,c\,d^{19}-15\,a^{12}\,b^2\,c^8\,d^{12}+591\,a^{12}\,b^2\,c^6\,d^{14}-1795\,a^{12}\,b^2\,c^4\,d^{16}+801\,a^{12}\,b^2\,c^2\,d^{18}-30\,a^{12}\,b^2\,d^{20}-400\,a^{11}\,b^3\,c^9\,d^{11}+5660\,a^{11}\,b^3\,c^7\,d^{13}-4260\,a^{11}\,b^3\,c^5\,d^{15}-2460\,a^{11}\,b^3\,c^3\,d^{17}+820\,a^{11}\,b^3\,c\,d^{19}+1360\,a^{10}\,b^4\,c^{10}\,d^{10}-31970\,a^{10}\,b^4\,c^8\,d^{12}+84189\,a^{10}\,b^4\,c^6\,d^{14}-48895\,a^{10}\,b^4\,c^4\,d^{16}+5315\,a^{10}\,b^4\,c^2\,d^{18}-79\,a^{10}\,b^4\,d^{20}-1536\,a^9\,b^5\,c^{11}\,d^9+64560\,a^9\,b^5\,c^9\,d^{11}-317574\,a^9\,b^5\,c^7\,d^{13}+388978\,a^9\,b^5\,c^5\,d^{15}-130410\,a^9\,b^5\,c^3\,d^{17}+9646\,a^9\,b^5\,c\,d^{19}+608\,a^8\,b^6\,c^{12}\,d^8-61232\,a^8\,b^6\,c^{10}\,d^{10}+557215\,a^8\,b^6\,c^8\,d^{12}-1218445\,a^8\,b^6\,c^6\,d^{14}+770805\,a^8\,b^6\,c^4\,d^{16}-125875\,a^8\,b^6\,c^2\,d^{18}+2300\,a^8\,b^6\,d^{20}+26624\,a^7\,b^7\,c^{11}\,d^9-507680\,a^7\,b^7\,c^9\,d^{11}+1980392\,a^7\,b^7\,c^7\,d^{13}-2192216\,a^7\,b^7\,c^5\,d^{15}+680600\,a^7\,b^7\,c^3\,d^{17}-39944\,a^7\,b^7\,c\,d^{19}-3712\,a^6\,b^8\,c^{12}\,d^8+235168\,a^6\,b^8\,c^{10}\,d^{10}-1764060\,a^6\,b^8\,c^8\,d^{12}+3408435\,a^6\,b^8\,c^6\,d^{14}-1885285\,a^6\,b^8\,c^4\,d^{16}+251549\,a^6\,b^8\,c^2\,d^{18}-3631\,a^6\,b^8\,d^{20}-47104\,a^5\,b^9\,c^{11}\,d^9+845280\,a^5\,b^9\,c^9\,d^{11}-2978014\,a^5\,b^9\,c^7\,d^{13}+2876874\,a^5\,b^9\,c^5\,d^{15}-750450\,a^5\,b^9\,c^3\,d^{17}+38214\,a^5\,b^9\,c\,d^{19}+3136\,a^4\,b^{10}\,c^{12}\,d^8-197600\,a^4\,b^{10}\,c^{10}\,d^{10}+1436095\,a^4\,b^{10}\,c^8\,d^{12}-2446851\,a^4\,b^{10}\,c^6\,d^{14}+1168655\,a^4\,b^{10}\,c^4\,d^{16}-138253\,a^4\,b^{10}\,c^2\,d^{18}+2082\,a^4\,b^{10}\,d^{20}+20480\,a^3\,b^{11}\,c^{11}\,d^9-355920\,a^3\,b^{11}\,c^9\,d^{11}+1132092\,a^3\,b^{11}\,c^7\,d^{13}-961988\,a^3\,b^{11}\,c^5\,d^{15}+229060\,a^3\,b^{11}\,c^3\,d^{17}-10860\,a^3\,b^{11}\,c\,d^{19}-640\,a^2\,b^{12}\,c^{12}\,d^8+44304\,a^2\,b^{12}\,c^{10}\,d^{10}-260450\,a^2\,b^{12}\,c^8\,d^{12}+405679\,a^2\,b^{12}\,c^6\,d^{14}-179085\,a^2\,b^{12}\,c^4\,d^{16}+20433\,a^2\,b^{12}\,c^2\,d^{18}-97\,a^2\,b^{12}\,d^{20}-2560\,a\,b^{13}\,c^{11}\,d^9+28400\,a\,b^{13}\,c^9\,d^{11}-74346\,a\,b^{13}\,c^7\,d^{13}+63934\,a\,b^{13}\,c^5\,d^{15}-14310\,a\,b^{13}\,c^3\,d^{17}+450\,a\,b^{13}\,c\,d^{19}+96\,b^{14}\,c^{12}\,d^8-1008\,b^{14}\,c^{10}\,d^{10}+5265\,b^{14}\,c^8\,d^{12}-6399\,b^{14}\,c^6\,d^{14}+4095\,b^{14}\,c^4\,d^{16}-33\,b^{14}\,c^2\,d^{18}+32\,b^{14}\,d^{20}\right)}{a^{16}\,b\,f^4+8\,a^{14}\,b^3\,f^4+28\,a^{12}\,b^5\,f^4+56\,a^{10}\,b^7\,f^4+70\,a^8\,b^9\,f^4+56\,a^6\,b^{11}\,f^4+28\,a^4\,b^{13}\,f^4+8\,a^2\,b^{15}\,f^4+b^{17}\,f^4}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}}{64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}}\right)\,\sqrt{-64\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)\,\left(a^9\,d^5+15\,a^8\,b\,c\,d^4+36\,a^7\,b^2\,d^5-400\,a^6\,b^3\,c^3\,d^2+140\,a^6\,b^3\,c\,d^4+960\,a^5\,b^4\,c^4\,d-1920\,a^5\,b^4\,c^2\,d^3+294\,a^5\,b^4\,d^5-576\,a^4\,b^5\,c^5+4560\,a^4\,b^5\,c^3\,d^2-2550\,a^4\,b^5\,c\,d^4-3200\,a^3\,b^6\,c^4\,d+6400\,a^3\,b^6\,c^2\,d^3-540\,a^3\,b^6\,d^5+384\,a^2\,b^7\,c^5-5040\,a^2\,b^7\,c^3\,d^2+2220\,a^2\,b^7\,c\,d^4+960\,a\,b^8\,c^4\,d-1920\,a\,b^8\,c^2\,d^3+225\,a\,b^8\,d^5-64\,b^9\,c^5+240\,b^9\,c^3\,d^2-225\,b^9\,c\,d^4\right)}\,1{}\mathrm{i}}{32\,\left(a^{12}\,b^3\,f^2+6\,a^{10}\,b^5\,f^2+15\,a^8\,b^7\,f^2+20\,a^6\,b^9\,f^2+15\,a^4\,b^{11}\,f^2+6\,a^2\,b^{13}\,f^2+b^{15}\,f^2\right)}","Not used",1,"atan(((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i - (((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) - ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i)/((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - (120*a*b^10*d^23 - a^11*d^23 - 120*b^11*c*d^22 - 249*a^3*b^8*d^23 + 388*a^5*b^6*d^23 - 302*a^7*b^4*d^23 - 36*a^9*b^2*d^23 + 6*a^11*c^4*d^19 + 8*a^11*c^6*d^17 + 3*a^11*c^8*d^15 + 19*b^11*c^3*d^20 - 336*b^11*c^5*d^18 - 1818*b^11*c^7*d^16 - 1448*b^11*c^9*d^14 + 399*b^11*c^11*d^12 + 504*b^11*c^13*d^10 - 1367*a*b^10*c^2*d^21 + 1848*a*b^10*c^4*d^19 + 7514*a*b^10*c^6*d^17 - 3312*a*b^10*c^8*d^15 - 13515*a*b^10*c^10*d^13 - 5320*a*b^10*c^12*d^11 + 704*a*b^10*c^14*d^9 + 1597*a^2*b^9*c*d^22 - 3844*a^4*b^7*c*d^22 + 3670*a^6*b^5*c*d^22 + 4*a^8*b^3*c*d^22 + 8*a^10*b*c^3*d^20 + 90*a^10*b*c^5*d^18 + 112*a^10*b*c^7*d^16 + 41*a^10*b*c^9*d^14 - 10076*a^2*b^9*c^3*d^20 - 9134*a^2*b^9*c^5*d^18 + 38888*a^2*b^9*c^7*d^16 + 47009*a^2*b^9*c^9*d^14 + 1036*a^2*b^9*c^11*d^12 - 9368*a^2*b^9*c^13*d^10 + 256*a^2*b^9*c^15*d^8 + 12020*a^3*b^8*c^2*d^21 - 18786*a^3*b^8*c^4*d^19 - 91184*a^3*b^8*c^6*d^17 - 41893*a^3*b^8*c^8*d^15 + 48036*a^3*b^8*c^10*d^13 + 24808*a^3*b^8*c^12*d^11 - 4992*a^3*b^8*c^14*d^9 + 36994*a^4*b^7*c^3*d^20 + 64944*a^4*b^7*c^5*d^18 - 45372*a^4*b^7*c^7*d^16 - 98948*a^4*b^7*c^9*d^14 - 10806*a^4*b^7*c^11*d^12 + 17896*a^4*b^7*c^13*d^10 - 768*a^4*b^7*c^15*d^8 - 18138*a^5*b^6*c^2*d^21 + 464*a^5*b^6*c^4*d^19 + 79772*a^5*b^6*c^6*d^17 + 52852*a^5*b^6*c^8*d^15 - 35218*a^5*b^6*c^10*d^13 - 23768*a^5*b^6*c^12*d^11 + 3520*a^5*b^6*c^14*d^9 - 10644*a^6*b^5*c^3*d^20 - 27004*a^6*b^5*c^5*d^18 + 13528*a^6*b^5*c^7*d^16 + 41118*a^6*b^5*c^9*d^14 + 8876*a^6*b^5*c^11*d^12 - 6024*a^6*b^5*c^13*d^10 + 2324*a^7*b^4*c^2*d^21 - 84*a^7*b^4*c^4*d^19 - 12744*a^7*b^4*c^6*d^17 - 9958*a^7*b^4*c^8*d^15 + 4548*a^7*b^4*c^10*d^13 + 4472*a^7*b^4*c^12*d^11 + 643*a^8*b^3*c^3*d^20 + 720*a^8*b^3*c^5*d^18 - 1658*a^8*b^3*c^7*d^16 - 2924*a^8*b^3*c^9*d^14 - 1185*a^8*b^3*c^11*d^12 + 57*a^9*b^2*c^2*d^21 + 328*a^9*b^2*c^4*d^19 + 282*a^9*b^2*c^6*d^17 - 12*a^9*b^2*c^8*d^15 - 59*a^9*b^2*c^10*d^13 - 11*a^10*b*c*d^22)/(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5) + (((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) - ((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*2i + atan(((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i - (((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*1i)/((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - (120*a*b^10*d^23 - a^11*d^23 - 120*b^11*c*d^22 - 249*a^3*b^8*d^23 + 388*a^5*b^6*d^23 - 302*a^7*b^4*d^23 - 36*a^9*b^2*d^23 + 6*a^11*c^4*d^19 + 8*a^11*c^6*d^17 + 3*a^11*c^8*d^15 + 19*b^11*c^3*d^20 - 336*b^11*c^5*d^18 - 1818*b^11*c^7*d^16 - 1448*b^11*c^9*d^14 + 399*b^11*c^11*d^12 + 504*b^11*c^13*d^10 - 1367*a*b^10*c^2*d^21 + 1848*a*b^10*c^4*d^19 + 7514*a*b^10*c^6*d^17 - 3312*a*b^10*c^8*d^15 - 13515*a*b^10*c^10*d^13 - 5320*a*b^10*c^12*d^11 + 704*a*b^10*c^14*d^9 + 1597*a^2*b^9*c*d^22 - 3844*a^4*b^7*c*d^22 + 3670*a^6*b^5*c*d^22 + 4*a^8*b^3*c*d^22 + 8*a^10*b*c^3*d^20 + 90*a^10*b*c^5*d^18 + 112*a^10*b*c^7*d^16 + 41*a^10*b*c^9*d^14 - 10076*a^2*b^9*c^3*d^20 - 9134*a^2*b^9*c^5*d^18 + 38888*a^2*b^9*c^7*d^16 + 47009*a^2*b^9*c^9*d^14 + 1036*a^2*b^9*c^11*d^12 - 9368*a^2*b^9*c^13*d^10 + 256*a^2*b^9*c^15*d^8 + 12020*a^3*b^8*c^2*d^21 - 18786*a^3*b^8*c^4*d^19 - 91184*a^3*b^8*c^6*d^17 - 41893*a^3*b^8*c^8*d^15 + 48036*a^3*b^8*c^10*d^13 + 24808*a^3*b^8*c^12*d^11 - 4992*a^3*b^8*c^14*d^9 + 36994*a^4*b^7*c^3*d^20 + 64944*a^4*b^7*c^5*d^18 - 45372*a^4*b^7*c^7*d^16 - 98948*a^4*b^7*c^9*d^14 - 10806*a^4*b^7*c^11*d^12 + 17896*a^4*b^7*c^13*d^10 - 768*a^4*b^7*c^15*d^8 - 18138*a^5*b^6*c^2*d^21 + 464*a^5*b^6*c^4*d^19 + 79772*a^5*b^6*c^6*d^17 + 52852*a^5*b^6*c^8*d^15 - 35218*a^5*b^6*c^10*d^13 - 23768*a^5*b^6*c^12*d^11 + 3520*a^5*b^6*c^14*d^9 - 10644*a^6*b^5*c^3*d^20 - 27004*a^6*b^5*c^5*d^18 + 13528*a^6*b^5*c^7*d^16 + 41118*a^6*b^5*c^9*d^14 + 8876*a^6*b^5*c^11*d^12 - 6024*a^6*b^5*c^13*d^10 + 2324*a^7*b^4*c^2*d^21 - 84*a^7*b^4*c^4*d^19 - 12744*a^7*b^4*c^6*d^17 - 9958*a^7*b^4*c^8*d^15 + 4548*a^7*b^4*c^10*d^13 + 4472*a^7*b^4*c^12*d^11 + 643*a^8*b^3*c^3*d^20 + 720*a^8*b^3*c^5*d^18 - 1658*a^8*b^3*c^7*d^16 - 2924*a^8*b^3*c^9*d^14 - 1185*a^8*b^3*c^11*d^12 + 57*a^9*b^2*c^2*d^21 + 328*a^9*b^2*c^4*d^19 + 282*a^9*b^2*c^6*d^17 - 12*a^9*b^2*c^8*d^15 - 59*a^9*b^2*c^10*d^13 - 11*a^10*b*c*d^22)/(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5) + (((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) + ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (c^10 + d^10 + 5*c^2*d^8 + 10*c^4*d^6 + 10*c^6*d^4 + 5*c^8*d^2)*(16*a^12*f^4 + 16*b^12*f^4 + 96*a^2*b^10*f^4 + 240*a^4*b^8*f^4 + 320*a^6*b^6*f^4 + 240*a^8*b^4*f^4 + 96*a^10*b^2*f^4))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(a^12*f^4 + b^12*f^4 + 6*a^2*b^10*f^4 + 15*a^4*b^8*f^4 + 20*a^6*b^6*f^4 + 15*a^8*b^4*f^4 + 6*a^10*b^2*f^4)))^(1/2)*2i + (((c + d*tan(e + f*x))^(3/2)*(a^3*d^3 + 9*a*b^2*d^3 - 9*b^3*c*d^2 - 8*a*b^2*c^2*d + 7*a^2*b*c*d^2))/(4*(a^4 + b^4 + 2*a^2*b^2)) + ((c + d*tan(e + f*x))^(1/2)*(7*a^2*b^2*d^4 - a^4*d^4 + 7*b^4*c^2*d^2 - 17*a^2*b^2*c^2*d^2 - 14*a*b^3*c*d^3 + 8*a*b^3*c^3*d + 10*a^3*b*c*d^3))/(4*b*(a^4 + b^4 + 2*a^2*b^2)))/(a^2*d^2*f - (2*b^2*c*f - 2*a*b*d*f)*(c + d*tan(e + f*x)) + b^2*c^2*f + b^2*f*(c + d*tan(e + f*x))^2 - 2*a*b*c*d*f) - (atan(((((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) + ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) - ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2)*1i)/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) - (((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) - ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) + ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2)*1i)/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)))/((((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) - ((c + d*tan(e + f*x))^(1/2)*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) + ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) - ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) - (120*a*b^10*d^23 - a^11*d^23 - 120*b^11*c*d^22 - 249*a^3*b^8*d^23 + 388*a^5*b^6*d^23 - 302*a^7*b^4*d^23 - 36*a^9*b^2*d^23 + 6*a^11*c^4*d^19 + 8*a^11*c^6*d^17 + 3*a^11*c^8*d^15 + 19*b^11*c^3*d^20 - 336*b^11*c^5*d^18 - 1818*b^11*c^7*d^16 - 1448*b^11*c^9*d^14 + 399*b^11*c^11*d^12 + 504*b^11*c^13*d^10 - 1367*a*b^10*c^2*d^21 + 1848*a*b^10*c^4*d^19 + 7514*a*b^10*c^6*d^17 - 3312*a*b^10*c^8*d^15 - 13515*a*b^10*c^10*d^13 - 5320*a*b^10*c^12*d^11 + 704*a*b^10*c^14*d^9 + 1597*a^2*b^9*c*d^22 - 3844*a^4*b^7*c*d^22 + 3670*a^6*b^5*c*d^22 + 4*a^8*b^3*c*d^22 + 8*a^10*b*c^3*d^20 + 90*a^10*b*c^5*d^18 + 112*a^10*b*c^7*d^16 + 41*a^10*b*c^9*d^14 - 10076*a^2*b^9*c^3*d^20 - 9134*a^2*b^9*c^5*d^18 + 38888*a^2*b^9*c^7*d^16 + 47009*a^2*b^9*c^9*d^14 + 1036*a^2*b^9*c^11*d^12 - 9368*a^2*b^9*c^13*d^10 + 256*a^2*b^9*c^15*d^8 + 12020*a^3*b^8*c^2*d^21 - 18786*a^3*b^8*c^4*d^19 - 91184*a^3*b^8*c^6*d^17 - 41893*a^3*b^8*c^8*d^15 + 48036*a^3*b^8*c^10*d^13 + 24808*a^3*b^8*c^12*d^11 - 4992*a^3*b^8*c^14*d^9 + 36994*a^4*b^7*c^3*d^20 + 64944*a^4*b^7*c^5*d^18 - 45372*a^4*b^7*c^7*d^16 - 98948*a^4*b^7*c^9*d^14 - 10806*a^4*b^7*c^11*d^12 + 17896*a^4*b^7*c^13*d^10 - 768*a^4*b^7*c^15*d^8 - 18138*a^5*b^6*c^2*d^21 + 464*a^5*b^6*c^4*d^19 + 79772*a^5*b^6*c^6*d^17 + 52852*a^5*b^6*c^8*d^15 - 35218*a^5*b^6*c^10*d^13 - 23768*a^5*b^6*c^12*d^11 + 3520*a^5*b^6*c^14*d^9 - 10644*a^6*b^5*c^3*d^20 - 27004*a^6*b^5*c^5*d^18 + 13528*a^6*b^5*c^7*d^16 + 41118*a^6*b^5*c^9*d^14 + 8876*a^6*b^5*c^11*d^12 - 6024*a^6*b^5*c^13*d^10 + 2324*a^7*b^4*c^2*d^21 - 84*a^7*b^4*c^4*d^19 - 12744*a^7*b^4*c^6*d^17 - 9958*a^7*b^4*c^8*d^15 + 4548*a^7*b^4*c^10*d^13 + 4472*a^7*b^4*c^12*d^11 + 643*a^8*b^3*c^3*d^20 + 720*a^8*b^3*c^5*d^18 - 1658*a^8*b^3*c^7*d^16 - 2924*a^8*b^3*c^9*d^14 - 1185*a^8*b^3*c^11*d^12 + 57*a^9*b^2*c^2*d^21 + 328*a^9*b^2*c^4*d^19 + 282*a^9*b^2*c^6*d^17 - 12*a^9*b^2*c^8*d^15 - 59*a^9*b^2*c^10*d^13 - 11*a^10*b*c*d^22)/(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5) + (((((20*a^16*b*d^18*f^2 + 8*a^17*c*d^17*f^2 - 4796*a^2*b^15*d^18*f^2 + 10476*a^4*b^13*d^18*f^2 + 14772*a^6*b^11*d^18*f^2 - 16644*a^8*b^9*d^18*f^2 - 10996*a^10*b^7*d^18*f^2 + 5892*a^12*b^5*d^18*f^2 + 764*a^14*b^3*d^18*f^2 + 8*a^17*c^3*d^15*f^2 - 3708*b^17*c^2*d^16*f^2 + 6912*b^17*c^4*d^14*f^2 + 5820*b^17*c^6*d^12*f^2 - 4608*b^17*c^8*d^10*f^2 + 192*b^17*c^10*d^8*f^2 + 125788*a^2*b^15*c^2*d^16*f^2 - 223956*a^2*b^15*c^4*d^14*f^2 - 203692*a^2*b^15*c^6*d^12*f^2 + 145600*a^2*b^15*c^8*d^10*f^2 - 5248*a^2*b^15*c^10*d^8*f^2 + 470816*a^3*b^14*c^3*d^15*f^2 - 4848*a^3*b^14*c^5*d^13*f^2 - 482048*a^3*b^14*c^7*d^11*f^2 + 73728*a^3*b^14*c^9*d^9*f^2 - 274940*a^4*b^13*c^2*d^16*f^2 + 324004*a^4*b^13*c^4*d^14*f^2 + 420684*a^4*b^13*c^6*d^12*f^2 - 183040*a^4*b^13*c^8*d^10*f^2 + 5696*a^4*b^13*c^10*d^8*f^2 + 125696*a^5*b^12*c^3*d^15*f^2 - 188624*a^5*b^12*c^5*d^13*f^2 - 262656*a^5*b^12*c^7*d^11*f^2 + 51968*a^5*b^12*c^9*d^9*f^2 - 474836*a^6*b^11*c^2*d^16*f^2 + 859132*a^6*b^11*c^4*d^14*f^2 + 822084*a^6*b^11*c^6*d^12*f^2 - 508992*a^6*b^11*c^8*d^10*f^2 + 17664*a^6*b^11*c^10*d^8*f^2 - 1071584*a^7*b^10*c^3*d^15*f^2 - 235184*a^7*b^10*c^5*d^13*f^2 + 891392*a^7*b^10*c^7*d^11*f^2 - 133120*a^7*b^10*c^9*d^9*f^2 + 325404*a^8*b^9*c^2*d^16*f^2 - 108972*a^8*b^9*c^4*d^14*f^2 - 350476*a^8*b^9*c^6*d^12*f^2 + 96768*a^8*b^9*c^8*d^10*f^2 - 3776*a^8*b^9*c^10*d^8*f^2 - 346352*a^9*b^8*c^3*d^15*f^2 + 31056*a^9*b^8*c^5*d^13*f^2 + 327936*a^9*b^8*c^7*d^11*f^2 - 64256*a^9*b^8*c^9*d^9*f^2 + 323668*a^10*b^7*c^2*d^16*f^2 - 342716*a^10*b^7*c^4*d^14*f^2 - 434500*a^10*b^7*c^6*d^12*f^2 + 232512*a^10*b^7*c^8*d^10*f^2 - 10368*a^10*b^7*c^10*d^8*f^2 + 292448*a^11*b^6*c^3*d^15*f^2 + 83760*a^11*b^6*c^5*d^13*f^2 - 257792*a^11*b^6*c^7*d^11*f^2 + 34816*a^11*b^6*c^9*d^9*f^2 - 72724*a^12*b^5*c^2*d^16*f^2 + 65964*a^12*b^5*c^4*d^14*f^2 + 104452*a^12*b^5*c^6*d^12*f^2 - 40192*a^12*b^5*c^8*d^10*f^2 - 64*a^12*b^5*c^10*d^8*f^2 - 24512*a^13*b^4*c^3*d^15*f^2 - 6896*a^13*b^4*c^5*d^13*f^2 + 19456*a^13*b^4*c^7*d^11*f^2 + 256*a^13*b^4*c^9*d^9*f^2 - 476*a^14*b^3*c^2*d^16*f^2 - 4460*a^14*b^3*c^4*d^14*f^2 - 3412*a^14*b^3*c^6*d^12*f^2 - 192*a^14*b^3*c^8*d^10*f^2 + 96*a^15*b^2*c^3*d^15*f^2 - 400*a^15*b^2*c^5*d^13*f^2 + 8504*a*b^16*c*d^17*f^2 - 63064*a*b^16*c^3*d^15*f^2 + 7792*a*b^16*c^5*d^13*f^2 + 66816*a*b^16*c^7*d^11*f^2 - 12544*a*b^16*c^9*d^9*f^2 - 80112*a^3*b^14*c*d^17*f^2 - 304*a^5*b^12*c*d^17*f^2 + 188112*a^7*b^10*c*d^17*f^2 + 14784*a^9*b^8*c*d^17*f^2 - 83920*a^11*b^6*c*d^17*f^2 + 1584*a^13*b^4*c*d^17*f^2 + 496*a^15*b^2*c*d^17*f^2 + 112*a^16*b*c^2*d^16*f^2 + 92*a^16*b*c^4*d^14*f^2)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + (((((1664*b^23*c*d^12*f^4 - 1664*a*b^22*d^13*f^4 - 11904*a^3*b^20*d^13*f^4 - 35328*a^5*b^18*d^13*f^4 - 53760*a^7*b^16*d^13*f^4 - 37632*a^9*b^14*d^13*f^4 + 5376*a^11*b^12*d^13*f^4 + 32256*a^13*b^10*d^13*f^4 + 26112*a^15*b^8*d^13*f^4 + 9600*a^17*b^6*d^13*f^4 + 1408*a^19*b^4*d^13*f^4 + 896*b^23*c^3*d^10*f^4 - 768*b^23*c^5*d^8*f^4 + 2432*a^2*b^21*c^3*d^10*f^4 - 4864*a^2*b^21*c^5*d^8*f^4 + 29312*a^3*b^20*c^2*d^11*f^4 + 41216*a^3*b^20*c^4*d^9*f^4 - 12288*a^4*b^19*c^3*d^10*f^4 - 11264*a^4*b^19*c^5*d^8*f^4 + 100864*a^5*b^18*c^2*d^11*f^4 + 136192*a^5*b^18*c^4*d^9*f^4 - 78336*a^6*b^17*c^3*d^10*f^4 - 7168*a^6*b^17*c^5*d^8*f^4 + 197120*a^7*b^16*c^2*d^11*f^4 + 250880*a^7*b^16*c^4*d^9*f^4 - 188160*a^8*b^15*c^3*d^10*f^4 + 17920*a^8*b^15*c^5*d^8*f^4 + 238336*a^9*b^14*c^2*d^11*f^4 + 275968*a^9*b^14*c^4*d^9*f^4 - 252672*a^10*b^13*c^3*d^10*f^4 + 46592*a^10*b^13*c^5*d^8*f^4 + 180992*a^11*b^12*c^2*d^11*f^4 + 175616*a^11*b^12*c^4*d^9*f^4 - 204288*a^12*b^11*c^3*d^10*f^4 + 50176*a^12*b^11*c^5*d^8*f^4 + 82432*a^13*b^10*c^2*d^11*f^4 + 50176*a^13*b^10*c^4*d^9*f^4 - 96768*a^14*b^9*c^3*d^10*f^4 + 29696*a^14*b^9*c^5*d^8*f^4 + 18944*a^15*b^8*c^2*d^11*f^4 - 7168*a^15*b^8*c^4*d^9*f^4 - 22656*a^16*b^7*c^3*d^10*f^4 + 9472*a^16*b^7*c^5*d^8*f^4 + 640*a^17*b^6*c^2*d^11*f^4 - 8960*a^17*b^6*c^4*d^9*f^4 - 640*a^18*b^5*c^3*d^10*f^4 + 1280*a^18*b^5*c^5*d^8*f^4 - 384*a^19*b^4*c^2*d^11*f^4 - 1792*a^19*b^4*c^4*d^9*f^4 + 512*a^20*b^3*c^3*d^10*f^4 + 3712*a*b^22*c^2*d^11*f^4 + 5376*a*b^22*c^4*d^9*f^4 + 7296*a^2*b^21*c*d^12*f^4 - 1024*a^4*b^19*c*d^12*f^4 - 71168*a^6*b^17*c*d^12*f^4 - 206080*a^8*b^15*c*d^12*f^4 - 299264*a^10*b^13*c*d^12*f^4 - 254464*a^12*b^11*c*d^12*f^4 - 126464*a^14*b^9*c*d^12*f^4 - 32128*a^16*b^7*c*d^12*f^4 - 1920*a^18*b^5*c*d^12*f^4 + 512*a^20*b^3*c*d^12*f^4)/(2*(b^17*f^5 + a^16*b*f^5 + 8*a^2*b^15*f^5 + 28*a^4*b^13*f^5 + 56*a^6*b^11*f^5 + 70*a^8*b^9*f^5 + 56*a^10*b^7*f^5 + 28*a^12*b^5*f^5 + 8*a^14*b^3*f^5)) + ((c + d*tan(e + f*x))^(1/2)*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2)*(512*b^26*d^10*f^4 + 4608*a^2*b^24*d^10*f^4 + 17920*a^4*b^22*d^10*f^4 + 38400*a^6*b^20*d^10*f^4 + 46080*a^8*b^18*d^10*f^4 + 21504*a^10*b^16*d^10*f^4 - 21504*a^12*b^14*d^10*f^4 - 46080*a^14*b^12*d^10*f^4 - 38400*a^16*b^10*d^10*f^4 - 17920*a^18*b^8*d^10*f^4 - 4608*a^20*b^6*d^10*f^4 - 512*a^22*b^4*d^10*f^4 + 768*b^26*c^2*d^8*f^4 + 7424*a^2*b^24*c^2*d^8*f^4 + 32000*a^4*b^22*c^2*d^8*f^4 + 80640*a^6*b^20*c^2*d^8*f^4 + 130560*a^8*b^18*c^2*d^8*f^4 + 139776*a^10*b^16*c^2*d^8*f^4 + 96768*a^12*b^14*c^2*d^8*f^4 + 38400*a^14*b^12*c^2*d^8*f^4 + 3840*a^16*b^10*c^2*d^8*f^4 - 3840*a^18*b^8*c^2*d^8*f^4 - 1792*a^20*b^6*c^2*d^8*f^4 - 256*a^22*b^4*c^2*d^8*f^4 + 256*a*b^25*c*d^9*f^4 + 2816*a^3*b^23*c*d^9*f^4 + 14080*a^5*b^21*c*d^9*f^4 + 42240*a^7*b^19*c*d^9*f^4 + 84480*a^9*b^17*c*d^9*f^4 + 118272*a^11*b^15*c*d^9*f^4 + 118272*a^13*b^13*c*d^9*f^4 + 84480*a^15*b^11*c*d^9*f^4 + 42240*a^17*b^9*c*d^9*f^4 + 14080*a^19*b^7*c*d^9*f^4 + 2816*a^21*b^5*c*d^9*f^4 + 256*a^23*b^3*c*d^9*f^4))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) - ((c + d*tan(e + f*x))^(1/2)*(8*a^19*b*d^15*f^2 - 1472*a*b^19*d^15*f^2 - 4*a^20*c*d^14*f^2 + 1216*b^20*c*d^14*f^2 + 776*a^3*b^17*d^15*f^2 + 11328*a^5*b^15*d^15*f^2 + 10208*a^7*b^13*d^15*f^2 - 5056*a^9*b^11*d^15*f^2 - 5328*a^11*b^9*d^15*f^2 + 4032*a^13*b^7*d^15*f^2 + 3552*a^15*b^5*d^15*f^2 + 384*a^17*b^3*d^15*f^2 + 580*b^20*c^3*d^12*f^2 - 4224*b^20*c^5*d^10*f^2 + 576*b^20*c^7*d^8*f^2 + 12380*a^2*b^18*c^3*d^12*f^2 + 39808*a^2*b^18*c^5*d^10*f^2 - 3584*a^2*b^18*c^7*d^8*f^2 - 18744*a^3*b^17*c^2*d^13*f^2 + 51200*a^3*b^17*c^4*d^11*f^2 - 11776*a^3*b^17*c^6*d^9*f^2 - 29360*a^4*b^16*c^3*d^12*f^2 + 151680*a^4*b^16*c^5*d^10*f^2 - 13056*a^4*b^16*c^7*d^8*f^2 - 114112*a^5*b^15*c^2*d^13*f^2 + 2560*a^5*b^15*c^4*d^11*f^2 + 60160*a^5*b^15*c^6*d^9*f^2 - 219280*a^6*b^14*c^3*d^12*f^2 + 152960*a^6*b^14*c^5*d^10*f^2 - 7680*a^6*b^14*c^7*d^8*f^2 - 41760*a^7*b^13*c^2*d^13*f^2 - 117760*a^7*b^13*c^4*d^11*f^2 + 109056*a^7*b^13*c^6*d^9*f^2 - 345160*a^8*b^12*c^3*d^12*f^2 + 31104*a^8*b^12*c^5*d^10*f^2 + 8064*a^8*b^12*c^7*d^8*f^2 + 201280*a^9*b^11*c^2*d^13*f^2 - 186880*a^9*b^11*c^4*d^11*f^2 + 49280*a^9*b^11*c^6*d^9*f^2 - 175800*a^10*b^10*c^3*d^12*f^2 - 1408*a^10*b^10*c^5*d^10*f^2 + 5632*a^10*b^10*c^7*d^8*f^2 + 230832*a^11*b^9*c^2*d^13*f^2 - 163840*a^11*b^9*c^4*d^11*f^2 + 1536*a^11*b^9*c^6*d^9*f^2 + 34960*a^12*b^8*c^3*d^12*f^2 + 17792*a^12*b^8*c^5*d^10*f^2 - 3840*a^12*b^8*c^7*d^8*f^2 + 68032*a^13*b^7*c^2*d^13*f^2 - 84480*a^13*b^7*c^4*d^11*f^2 + 9984*a^13*b^7*c^6*d^9*f^2 + 54960*a^14*b^6*c^3*d^12*f^2 - 2944*a^14*b^6*c^5*d^10*f^2 - 2560*a^14*b^6*c^7*d^8*f^2 - 5408*a^15*b^5*c^2*d^13*f^2 - 15360*a^15*b^5*c^4*d^11*f^2 + 7680*a^15*b^5*c^6*d^9*f^2 + 11300*a^16*b^4*c^3*d^12*f^2 - 7936*a^16*b^4*c^5*d^10*f^2 + 64*a^16*b^4*c^7*d^8*f^2 - 1664*a^17*b^3*c^2*d^13*f^2 + 2560*a^17*b^3*c^4*d^11*f^2 - 64*a^17*b^3*c^6*d^9*f^2 + 60*a^18*b^2*c^3*d^12*f^2 + 11328*a*b^19*c^2*d^13*f^2 + 20480*a*b^19*c^4*d^11*f^2 - 12864*a*b^19*c^6*d^9*f^2 - 15244*a^2*b^18*c*d^14*f^2 - 32740*a^4*b^16*c*d^14*f^2 + 23824*a^6*b^14*c*d^14*f^2 + 73456*a^8*b^12*c*d^14*f^2 + 2392*a^10*b^10*c*d^14*f^2 - 58424*a^12*b^8*c*d^14*f^2 - 29360*a^14*b^6*c*d^14*f^2 - 1936*a^16*b^4*c*d^14*f^2 - 44*a^18*b^2*c*d^14*f^2 - 56*a^19*b*c^2*d^13*f^2))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)) + ((c + d*tan(e + f*x))^(1/2)*(32*b^14*d^20 - a^14*d^20 - 97*a^2*b^12*d^20 + 2082*a^4*b^10*d^20 - 3631*a^6*b^8*d^20 + 2300*a^8*b^6*d^20 - 79*a^10*b^4*d^20 - 30*a^12*b^2*d^20 + 15*a^14*c^2*d^18 - 15*a^14*c^4*d^16 + a^14*c^6*d^14 - 33*b^14*c^2*d^18 + 4095*b^14*c^4*d^16 - 6399*b^14*c^6*d^14 + 5265*b^14*c^8*d^12 - 1008*b^14*c^10*d^10 + 96*b^14*c^12*d^8 - 14310*a*b^13*c^3*d^17 + 63934*a*b^13*c^5*d^15 - 74346*a*b^13*c^7*d^13 + 28400*a*b^13*c^9*d^11 - 2560*a*b^13*c^11*d^9 - 10860*a^3*b^11*c*d^19 + 38214*a^5*b^9*c*d^19 - 39944*a^7*b^7*c*d^19 + 9646*a^9*b^5*c*d^19 + 820*a^11*b^3*c*d^19 + 130*a^13*b*c^3*d^17 - 186*a^13*b*c^5*d^15 + 14*a^13*b*c^7*d^13 + 20433*a^2*b^12*c^2*d^18 - 179085*a^2*b^12*c^4*d^16 + 405679*a^2*b^12*c^6*d^14 - 260450*a^2*b^12*c^8*d^12 + 44304*a^2*b^12*c^10*d^10 - 640*a^2*b^12*c^12*d^8 + 229060*a^3*b^11*c^3*d^17 - 961988*a^3*b^11*c^5*d^15 + 1132092*a^3*b^11*c^7*d^13 - 355920*a^3*b^11*c^9*d^11 + 20480*a^3*b^11*c^11*d^9 - 138253*a^4*b^10*c^2*d^18 + 1168655*a^4*b^10*c^4*d^16 - 2446851*a^4*b^10*c^6*d^14 + 1436095*a^4*b^10*c^8*d^12 - 197600*a^4*b^10*c^10*d^10 + 3136*a^4*b^10*c^12*d^8 - 750450*a^5*b^9*c^3*d^17 + 2876874*a^5*b^9*c^5*d^15 - 2978014*a^5*b^9*c^7*d^13 + 845280*a^5*b^9*c^9*d^11 - 47104*a^5*b^9*c^11*d^9 + 251549*a^6*b^8*c^2*d^18 - 1885285*a^6*b^8*c^4*d^16 + 3408435*a^6*b^8*c^6*d^14 - 1764060*a^6*b^8*c^8*d^12 + 235168*a^6*b^8*c^10*d^10 - 3712*a^6*b^8*c^12*d^8 + 680600*a^7*b^7*c^3*d^17 - 2192216*a^7*b^7*c^5*d^15 + 1980392*a^7*b^7*c^7*d^13 - 507680*a^7*b^7*c^9*d^11 + 26624*a^7*b^7*c^11*d^9 - 125875*a^8*b^6*c^2*d^18 + 770805*a^8*b^6*c^4*d^16 - 1218445*a^8*b^6*c^6*d^14 + 557215*a^8*b^6*c^8*d^12 - 61232*a^8*b^6*c^10*d^10 + 608*a^8*b^6*c^12*d^8 - 130410*a^9*b^5*c^3*d^17 + 388978*a^9*b^5*c^5*d^15 - 317574*a^9*b^5*c^7*d^13 + 64560*a^9*b^5*c^9*d^11 - 1536*a^9*b^5*c^11*d^9 + 5315*a^10*b^4*c^2*d^18 - 48895*a^10*b^4*c^4*d^16 + 84189*a^10*b^4*c^6*d^14 - 31970*a^10*b^4*c^8*d^12 + 1360*a^10*b^4*c^10*d^10 - 2460*a^11*b^3*c^3*d^17 - 4260*a^11*b^3*c^5*d^15 + 5660*a^11*b^3*c^7*d^13 - 400*a^11*b^3*c^9*d^11 + 801*a^12*b^2*c^2*d^18 - 1795*a^12*b^2*c^4*d^16 + 591*a^12*b^2*c^6*d^14 - 15*a^12*b^2*c^8*d^12 + 450*a*b^13*c*d^19 + 10*a^13*b*c*d^19))/(b^17*f^4 + a^16*b*f^4 + 8*a^2*b^15*f^4 + 28*a^4*b^13*f^4 + 56*a^6*b^11*f^4 + 70*a^8*b^9*f^4 + 56*a^10*b^7*f^4 + 28*a^12*b^5*f^4 + 8*a^14*b^3*f^4))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2))/(64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2))))*(-64*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2)*(a^9*d^5 - 64*b^9*c^5 + 225*a*b^8*d^5 - 225*b^9*c*d^4 + 384*a^2*b^7*c^5 - 576*a^4*b^5*c^5 - 540*a^3*b^6*d^5 + 294*a^5*b^4*d^5 + 36*a^7*b^2*d^5 + 240*b^9*c^3*d^2 - 1920*a*b^8*c^2*d^3 + 2220*a^2*b^7*c*d^4 - 3200*a^3*b^6*c^4*d - 2550*a^4*b^5*c*d^4 + 960*a^5*b^4*c^4*d + 140*a^6*b^3*c*d^4 - 5040*a^2*b^7*c^3*d^2 + 6400*a^3*b^6*c^2*d^3 + 4560*a^4*b^5*c^3*d^2 - 1920*a^5*b^4*c^2*d^3 - 400*a^6*b^3*c^3*d^2 + 960*a*b^8*c^4*d + 15*a^8*b*c*d^4))^(1/2)*1i)/(32*(b^15*f^2 + 6*a^2*b^13*f^2 + 15*a^4*b^11*f^2 + 20*a^6*b^9*f^2 + 15*a^8*b^7*f^2 + 6*a^10*b^5*f^2 + a^12*b^3*f^2))","B"
1247,1,3771,248,16.984542,"\text{Not used}","int((a + b*tan(e + f*x))^4/(c + d*tan(e + f*x))^(1/2),x)","\frac{2\,b^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{5\,d^3\,f}-\left(\frac{8\,b^4\,c-8\,a\,b^3\,d}{3\,d^3\,f}-\frac{4\,b^4\,c}{3\,d^3\,f}\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(2\,c\,\left(\frac{8\,b^4\,c-8\,a\,b^3\,d}{d^3\,f}-\frac{4\,b^4\,c}{d^3\,f}\right)+\frac{2\,b^4\,\left(c^2+d^2\right)}{d^3\,f}-\frac{12\,b^2\,{\left(a\,d-b\,c\right)}^2}{d^3\,f}\right)+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{64\,\left(-a^{11}\,b\,d^2-3\,a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2+2\,a^5\,b^7\,d^2+3\,a^3\,b^9\,d^2+a\,b^{11}\,d^2\right)}{f^3}}\right)\,\sqrt{-\frac{a^8-a^7\,b\,8{}\mathrm{i}-28\,a^6\,b^2+a^5\,b^3\,56{}\mathrm{i}+70\,a^4\,b^4-a^3\,b^5\,56{}\mathrm{i}-28\,a^2\,b^6+a\,b^7\,8{}\mathrm{i}+b^8}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{-\frac{64\,\left(-a^{11}\,b\,d^2-3\,a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2+2\,a^5\,b^7\,d^2+3\,a^3\,b^9\,d^2+a\,b^{11}\,d^2\right)}{f^3}+\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{32\,\left(a^4\,d^3\,f^2-4\,c\,a^3\,b\,d^2\,f^2-6\,a^2\,b^2\,d^3\,f^2+4\,c\,a\,b^3\,d^2\,f^2+b^4\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^8\,d^2-28\,a^6\,b^2\,d^2+70\,a^4\,b^4\,d^2-28\,a^2\,b^6\,d^2+b^8\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}}\right)\,\sqrt{-\frac{a^8\,1{}\mathrm{i}-8\,a^7\,b-a^6\,b^2\,28{}\mathrm{i}+56\,a^5\,b^3+a^4\,b^4\,70{}\mathrm{i}-56\,a^3\,b^5-a^2\,b^6\,28{}\mathrm{i}+8\,a\,b^7+b^8\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*1i - (((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*1i)/((((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (64*(a*b^11*d^2 - a^11*b*d^2 + 3*a^3*b^9*d^2 + 2*a^5*b^7*d^2 - 2*a^7*b^5*d^2 - 3*a^9*b^3*d^2))/f^3))*(-(a*b^7*8i - a^7*b*8i + a^8 + b^8 - 28*a^2*b^6 - a^3*b^5*56i + 70*a^4*b^4 + a^5*b^3*56i - 28*a^6*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*2i - (c + d*tan(e + f*x))^(1/2)*(2*c*((8*b^4*c - 8*a*b^3*d)/(d^3*f) - (4*b^4*c)/(d^3*f)) + (2*b^4*(c^2 + d^2))/(d^3*f) - (12*b^2*(a*d - b*c)^2)/(d^3*f)) - ((8*b^4*c - 8*a*b^3*d)/(3*d^3*f) - (4*b^4*c)/(3*d^3*f))*(c + d*tan(e + f*x))^(3/2) + atan(((((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*1i - (((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*1i)/((((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (64*(a*b^11*d^2 - a^11*b*d^2 + 3*a^3*b^9*d^2 + 2*a^5*b^7*d^2 - 2*a^7*b^5*d^2 - 3*a^9*b^3*d^2))/f^3 + (((32*(a^4*d^3*f^2 + b^4*d^3*f^2 - 6*a^2*b^2*d^3*f^2 + 4*a*b^3*c*d^2*f^2 - 4*a^3*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^8*d^2 + b^8*d^2 - 28*a^2*b^6*d^2 + 70*a^4*b^4*d^2 - 28*a^6*b^2*d^2))/f^2)*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2)))*(-(8*a*b^7 - 8*a^7*b + a^8*1i + b^8*1i - a^2*b^6*28i - 56*a^3*b^5 + a^4*b^4*70i + 56*a^5*b^3 - a^6*b^2*28i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*2i + (2*b^4*(c + d*tan(e + f*x))^(5/2))/(5*d^3*f)","B"
1248,1,3017,178,9.565846,"\text{Not used}","int((a + b*tan(e + f*x))^3/(c + d*tan(e + f*x))^(1/2),x)","\frac{2\,b^3\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,d^2\,f}-\left(\frac{6\,b^3\,c-6\,a\,b^2\,d}{d^2\,f}-\frac{4\,b^3\,c}{d^2\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\left(3\,a^8\,b\,d^2+8\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2-b^9\,d^2\right)}{f^3}}\right)\,\sqrt{\frac{-a^6\,1{}\mathrm{i}+6\,a^5\,b+a^4\,b^2\,15{}\mathrm{i}-20\,a^3\,b^3-a^2\,b^4\,15{}\mathrm{i}+6\,a\,b^5+b^6\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{8\,\left(4\,a^3\,d^3\,f^2-12\,c\,a^2\,b\,d^2\,f^2-12\,a\,b^2\,d^3\,f^2+4\,c\,b^3\,d^2\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^6\,d^2-15\,a^4\,b^2\,d^2+15\,a^2\,b^4\,d^2-b^6\,d^2\right)}{f^2}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\left(3\,a^8\,b\,d^2+8\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2-b^9\,d^2\right)}{f^3}}\right)\,\sqrt{\frac{-a^6+a^5\,b\,6{}\mathrm{i}+15\,a^4\,b^2-a^3\,b^3\,20{}\mathrm{i}-15\,a^2\,b^4+a\,b^5\,6{}\mathrm{i}+b^6}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*1i - (((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*1i)/((((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (16*(3*a^8*b*d^2 - b^9*d^2 + 6*a^4*b^5*d^2 + 8*a^6*b^3*d^2))/f^3))*((6*a*b^5 + 6*a^5*b - a^6*1i + b^6*1i - a^2*b^4*15i - 20*a^3*b^3 + a^4*b^2*15i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*2i + atan(((((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*1i - (((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*1i)/((((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (((8*(4*a^3*d^3*f^2 - 12*a*b^2*d^3*f^2 + 4*b^3*c*d^2*f^2 - 12*a^2*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^6*d^2 - b^6*d^2 + 15*a^2*b^4*d^2 - 15*a^4*b^2*d^2))/f^2)*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (16*(3*a^8*b*d^2 - b^9*d^2 + 6*a^4*b^5*d^2 + 8*a^6*b^3*d^2))/f^3))*((a*b^5*6i + a^5*b*6i - a^6 + b^6 - 15*a^2*b^4 - a^3*b^3*20i + 15*a^4*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*2i - ((6*b^3*c - 6*a*b^2*d)/(d^2*f) - (4*b^3*c)/(d^2*f))*(c + d*tan(e + f*x))^(1/2) + (2*b^3*(c + d*tan(e + f*x))^(3/2))/(3*d^2*f)","B"
1249,1,2287,134,7.234064,"\text{Not used}","int((a + b*tan(e + f*x))^2/(c + d*tan(e + f*x))^(1/2),x)","\frac{2\,b^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{d\,f}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{-\frac{32\,\left(a^5\,b\,d^2+2\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{f^3}+\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(-d\,f^2+c\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}-64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\left(\left(\frac{16\,\left(-2\,a^2\,d^3\,f^2+4\,c\,a\,b\,d^2\,f^2+2\,b^2\,d^3\,f^2\right)}{f^3}+64\,c\,d^2\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(a^4\,d^2-6\,a^2\,b^2\,d^2+b^4\,d^2\right)}{f^2}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}-\frac{32\,\left(a^5\,b\,d^2+2\,a^3\,b^3\,d^2+a\,b^5\,d^2\right)}{f^3}}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c\,f^2-d\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}","Not used",1,"(2*b^2*(c + d*tan(e + f*x))^(1/2))/(d*f) - atan(((((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*1i - (((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*1i)/((((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2) - (32*(a*b^5*d^2 + a^5*b*d^2 + 2*a^3*b^3*d^2))/f^3))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c*f^2 - d*f^2*1i)))^(1/2)*2i - atan(((((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*1i - (((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*1i)/((((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 - 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2) - (32*(a*b^5*d^2 + a^5*b*d^2 + 2*a^3*b^3*d^2))/f^3 + (((16*(2*b^2*d^3*f^2 - 2*a^2*d^3*f^2 + 4*a*b*c*d^2*f^2))/f^3 + 64*c*d^2*(c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(a^4*d^2 + b^4*d^2 - 6*a^2*b^2*d^2))/f^2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2)))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c*f^2*1i - d*f^2)))^(1/2)*2i","B"
1250,1,2909,102,7.353385,"\text{Not used}","int((a + b*tan(e + f*x))/(c + d*tan(e + f*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{8\,c\,d^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,a^4\,d^2\,f^4}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}-\frac{32\,a^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^3\,f^3}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,d^3\,f^2\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}+\frac{32\,a^2\,c^2\,d^2\,f^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,a^2\,d^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^3\,f^3}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,d^3\,f^2\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}+\frac{8\,c\,d^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,a^4\,d^2\,f^4}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}-\frac{32\,a^2\,c^2\,d^2\,f^2\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,a^3\,c\,d^5\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,d^5\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{16\,a^3\,c^3\,d^3\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{4\,a\,c^2\,d^3\,f^4\,\sqrt{-16\,a^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{\frac{\sqrt{-16\,a^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{a^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,b^2\,d^2\,\sqrt{\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,b^3\,d^2}{f}-\frac{16\,b^3\,c^2\,d^2\,f^3}{c^2\,f^4+d^2\,f^4}+\frac{4\,b\,c\,d^2\,f^2\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}+\frac{8\,c\,d^2\,\sqrt{\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,b^4\,d^2\,f^4}}{16\,b^3\,d^4\,f+16\,b^3\,c^2\,d^2\,f-\frac{16\,b^3\,c^2\,d^4\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{16\,b^3\,c^4\,d^2\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,b\,c\,d^4\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{4\,b\,c^3\,d^2\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}-\frac{32\,b^2\,c^2\,d^2\,f^2\,\sqrt{\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{16\,b^3\,d^4\,f+16\,b^3\,c^2\,d^2\,f-\frac{16\,b^3\,c^2\,d^4\,f^5}{c^2\,f^4+d^2\,f^4}-\frac{16\,b^3\,c^4\,d^2\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,b\,c\,d^4\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{4\,b\,c^3\,d^2\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}-\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}}-2\,\mathrm{atanh}\left(\frac{8\,c\,d^2\,\sqrt{\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}+\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-16\,b^4\,d^2\,f^4}}{\frac{16\,b^3\,c^2\,d^4\,f^5}{c^2\,f^4+d^2\,f^4}-16\,b^3\,c^2\,d^2\,f-16\,b^3\,d^4\,f+\frac{16\,b^3\,c^4\,d^2\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,b\,c\,d^4\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{4\,b\,c^3\,d^2\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}-\frac{32\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}+\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,b^3\,c^2\,d^2\,f^3}{c^2\,f^4+d^2\,f^4}-\frac{16\,b^3\,d^2}{f}+\frac{4\,b\,c\,d^2\,f^2\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}+\frac{32\,b^2\,c^2\,d^2\,f^2\,\sqrt{\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}+\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\frac{16\,b^3\,c^2\,d^4\,f^5}{c^2\,f^4+d^2\,f^4}-16\,b^3\,c^2\,d^2\,f-16\,b^3\,d^4\,f+\frac{16\,b^3\,c^4\,d^2\,f^5}{c^2\,f^4+d^2\,f^4}+\frac{4\,b\,c\,d^4\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}+\frac{4\,b\,c^3\,d^2\,f^4\,\sqrt{-16\,b^4\,d^2\,f^4}}{c^2\,f^5+d^2\,f^5}}\right)\,\sqrt{\frac{\sqrt{-16\,b^4\,d^2\,f^4}}{16\,\left(c^2\,f^4+d^2\,f^4\right)}+\frac{b^2\,c\,f^2}{4\,\left(c^2\,f^4+d^2\,f^4\right)}}","Not used",1,"2*atanh((8*c*d^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*a^4*d^2*f^4)^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) - (32*a^2*d^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^3*f^3)/(c^2*f^4 + d^2*f^4) + (4*a*d^3*f^2*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) + (32*a^2*c^2*d^2*f^2*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) + (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)))*(- (-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2) - 2*atanh((32*a^2*d^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^3*f^3)/(c^2*f^4 + d^2*f^4) - (4*a*d^3*f^2*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) + (8*c*d^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*a^4*d^2*f^4)^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) - (32*a^2*c^2*d^2*f^2*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*a^3*c*d^5*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*d^5*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (16*a^3*c^3*d^3*f^5)/(c^2*f^4 + d^2*f^4) - (4*a*c^2*d^3*f^4*(-16*a^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)))*((-16*a^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) - (a^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2) - 2*atanh((32*b^2*d^2*((b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)) - (-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*b^3*d^2)/f - (16*b^3*c^2*d^2*f^3)/(c^2*f^4 + d^2*f^4) + (4*b*c*d^2*f^2*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) + (8*c*d^2*((b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)) - (-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*b^4*d^2*f^4)^(1/2))/(16*b^3*d^4*f + 16*b^3*c^2*d^2*f - (16*b^3*c^2*d^4*f^5)/(c^2*f^4 + d^2*f^4) - (16*b^3*c^4*d^2*f^5)/(c^2*f^4 + d^2*f^4) + (4*b*c*d^4*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (4*b*c^3*d^2*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) - (32*b^2*c^2*d^2*f^2*((b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)) - (-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/(16*b^3*d^4*f + 16*b^3*c^2*d^2*f - (16*b^3*c^2*d^4*f^5)/(c^2*f^4 + d^2*f^4) - (16*b^3*c^4*d^2*f^5)/(c^2*f^4 + d^2*f^4) + (4*b*c*d^4*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (4*b*c^3*d^2*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)))*((b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)) - (-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)))^(1/2) - 2*atanh((8*c*d^2*((-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) + (b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(-16*b^4*d^2*f^4)^(1/2))/((16*b^3*c^2*d^4*f^5)/(c^2*f^4 + d^2*f^4) - 16*b^3*c^2*d^2*f - 16*b^3*d^4*f + (16*b^3*c^4*d^2*f^5)/(c^2*f^4 + d^2*f^4) + (4*b*c*d^4*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (4*b*c^3*d^2*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) - (32*b^2*d^2*((-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) + (b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*b^3*c^2*d^2*f^3)/(c^2*f^4 + d^2*f^4) - (16*b^3*d^2)/f + (4*b*c*d^2*f^2*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)) + (32*b^2*c^2*d^2*f^2*((-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) + (b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)*(c + d*tan(e + f*x))^(1/2))/((16*b^3*c^2*d^4*f^5)/(c^2*f^4 + d^2*f^4) - 16*b^3*c^2*d^2*f - 16*b^3*d^4*f + (16*b^3*c^4*d^2*f^5)/(c^2*f^4 + d^2*f^4) + (4*b*c*d^4*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5) + (4*b*c^3*d^2*f^4*(-16*b^4*d^2*f^4)^(1/2))/(c^2*f^5 + d^2*f^5)))*((-16*b^4*d^2*f^4)^(1/2)/(16*(c^2*f^4 + d^2*f^4)) + (b^2*c*f^2)/(4*(c^2*f^4 + d^2*f^4)))^(1/2)","B"
1251,1,9908,170,10.268353,"\text{Not used}","int(1/((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^(1/2)),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}-\frac{32\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}+\frac{32\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}-\frac{32\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}+\frac{32\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}}\right)\,\sqrt{\frac{1{}\mathrm{i}}{4\,\left(a^2\,d\,f^2-a^2\,c\,f^2\,1{}\mathrm{i}+b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2+a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}-\frac{32\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}+\frac{32\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}-\frac{32\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\left(\left(\left(\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}+\frac{32\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}-\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}+\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}}\right)\,\sqrt{-\frac{1{}\mathrm{i}}{4\,\left(a^2\,c\,f^2\,1{}\mathrm{i}+a^2\,d\,f^2-b^2\,c\,f^2\,1{}\mathrm{i}-b^2\,d\,f^2+2\,a\,b\,c\,f^2-a\,b\,d\,f^2\,2{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}-\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}-\frac{32\,\sqrt{b^4\,c-a\,b^3\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3\right)}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}+\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,1{}\mathrm{i}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}-\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}-\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}+\frac{32\,\sqrt{b^4\,c-a\,b^3\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3\right)}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}-\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)\,1{}\mathrm{i}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}}{\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}-\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}-\frac{32\,\sqrt{b^4\,c-a\,b^3\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3\right)}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}+\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}+\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}+\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(a^3\,b^3\,d^9-c\,a^2\,b^4\,d^8+5\,a\,b^5\,d^9+3\,c\,b^6\,d^8\right)}{f^3}-\frac{\sqrt{b^4\,c-a\,b^3\,d}\,\left(\frac{\left(\frac{32\,\left(-4\,a^6\,b^2\,d^{10}\,f^2-8\,a^5\,b^3\,c\,d^9\,f^2+12\,a^4\,b^4\,c^2\,d^8\,f^2+8\,a^4\,b^4\,d^{10}\,f^2-16\,a^3\,b^5\,c\,d^9\,f^2+24\,a^2\,b^6\,c^2\,d^8\,f^2+28\,a^2\,b^6\,d^{10}\,f^2-8\,a\,b^7\,c\,d^9\,f^2+12\,b^8\,c^2\,d^8\,f^2+16\,b^8\,d^{10}\,f^2\right)}{f^3}+\frac{32\,\sqrt{b^4\,c-a\,b^3\,d}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(8\,a^7\,b^2\,c\,d^9\,f^4-8\,a^6\,b^3\,c^2\,d^8\,f^4-16\,a^6\,b^3\,d^{10}\,f^4+24\,a^5\,b^4\,c\,d^9\,f^4+8\,a^4\,b^5\,c^2\,d^8\,f^4-16\,a^4\,b^5\,d^{10}\,f^4+24\,a^3\,b^6\,c\,d^9\,f^4+40\,a^2\,b^7\,c^2\,d^8\,f^4+16\,a^2\,b^7\,d^{10}\,f^4+8\,a\,b^8\,c\,d^9\,f^4+24\,b^9\,c^2\,d^8\,f^4+16\,b^9\,d^{10}\,f^4\right)}{f^4\,\left(d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3\right)}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}-\frac{32\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-2\,a^5\,b^2\,d^9\,f^2+2\,c\,a^4\,b^3\,d^8\,f^2-4\,a^3\,b^4\,d^9\,f^2-12\,c\,a^2\,b^5\,d^8\,f^2+30\,a\,b^6\,d^9\,f^2+18\,c\,b^7\,d^8\,f^2\right)}{f^4}\right)}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}\right)\,\sqrt{b^4\,c-a\,b^3\,d}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}-\frac{96\,b^5\,d^8\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{f^4}\right)}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}}\right)\,\sqrt{b^4\,c-a\,b^3\,d}\,2{}\mathrm{i}}{d\,f\,a^3-c\,f\,a^2\,b+d\,f\,a\,b^2-c\,f\,b^3}","Not used",1,"- atan(((((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 - (32*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)*1i - (((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 + (32*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) + (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)*1i)/((((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 - (32*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) + (((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 + (32*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2) + (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)))*(1i/(4*(a^2*d*f^2 - a^2*c*f^2*1i + b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 + a*b*d*f^2*2i)))^(1/2)*2i - atan(((((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 - (32*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)*1i - (((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 + (32*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) + (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)*1i)/((((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 - (32*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) + (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) + (((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 + (32*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) - (32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2) + (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)))*(-1i/(4*(a^2*c*f^2*1i + a^2*d*f^2 - b^2*c*f^2*1i - b^2*d*f^2 + 2*a*b*c*f^2 - a*b*d*f^2*2i)))^(1/2)*2i - (atan((((b^4*c - a*b^3*d)^(1/2)*((((32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3 - ((b^4*c - a*b^3*d)^(1/2)*((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 - (32*(b^4*c - a*b^3*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f)))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) + (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) + (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*1i)/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) - ((b^4*c - a*b^3*d)^(1/2)*((((32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3 - ((b^4*c - a*b^3*d)^(1/2)*((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 + (32*(b^4*c - a*b^3*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f)))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) - (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) - (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4)*1i)/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f))/(((b^4*c - a*b^3*d)^(1/2)*((((32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3 - ((b^4*c - a*b^3*d)^(1/2)*((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 - (32*(b^4*c - a*b^3*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f)))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) + (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) + (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) + ((b^4*c - a*b^3*d)^(1/2)*((((32*(5*a*b^5*d^9 + 3*b^6*c*d^8 + a^3*b^3*d^9 - a^2*b^4*c*d^8))/f^3 - ((b^4*c - a*b^3*d)^(1/2)*((((32*(16*b^8*d^10*f^2 + 28*a^2*b^6*d^10*f^2 + 8*a^4*b^4*d^10*f^2 - 4*a^6*b^2*d^10*f^2 + 12*b^8*c^2*d^8*f^2 + 24*a^2*b^6*c^2*d^8*f^2 + 12*a^4*b^4*c^2*d^8*f^2 - 8*a*b^7*c*d^9*f^2 - 16*a^3*b^5*c*d^9*f^2 - 8*a^5*b^3*c*d^9*f^2))/f^3 + (32*(b^4*c - a*b^3*d)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(16*b^9*d^10*f^4 + 16*a^2*b^7*d^10*f^4 - 16*a^4*b^5*d^10*f^4 - 16*a^6*b^3*d^10*f^4 + 24*b^9*c^2*d^8*f^4 + 40*a^2*b^7*c^2*d^8*f^4 + 8*a^4*b^5*c^2*d^8*f^4 - 8*a^6*b^3*c^2*d^8*f^4 + 8*a*b^8*c*d^9*f^4 + 24*a^3*b^6*c*d^9*f^4 + 24*a^5*b^4*c*d^9*f^4 + 8*a^7*b^2*c*d^9*f^4))/(f^4*(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f)))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) - (32*(c + d*tan(e + f*x))^(1/2)*(30*a*b^6*d^9*f^2 + 18*b^7*c*d^8*f^2 - 4*a^3*b^4*d^9*f^2 - 2*a^5*b^2*d^9*f^2 - 12*a^2*b^5*c*d^8*f^2 + 2*a^4*b^3*c*d^8*f^2))/f^4))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f))*(b^4*c - a*b^3*d)^(1/2))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f) - (96*b^5*d^8*(c + d*tan(e + f*x))^(1/2))/f^4))/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f)))*(b^4*c - a*b^3*d)^(1/2)*2i)/(a^3*d*f - b^3*c*f - a^2*b*c*f + a*b^2*d*f)","B"
1252,1,51069,244,15.261339,"\text{Not used}","int(1/((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{16\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{\left(b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}\,1{}\mathrm{i}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}-\frac{\left(\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{16\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{\left(b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}\,1{}\mathrm{i}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}}{\frac{\left(\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{16\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{\left(b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}+\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}-\frac{32\,\left(5\,a^3\,b^6\,d^{10}-9\,a^2\,b^7\,c\,d^9+4\,a\,b^8\,c^2\,d^8+a\,b^8\,d^{10}-b^9\,c\,d^9\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{16\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{\left(b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}-\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}}\right)\,\sqrt{-\left(25\,a^4\,b^3\,d^2-40\,a^3\,b^4\,c\,d+16\,a^2\,b^5\,c^2+10\,a^2\,b^5\,d^2-8\,a\,b^6\,c\,d+b^7\,d^2\right)\,\left(a^{11}\,d^3\,f^2-3\,a^{10}\,b\,c\,d^2\,f^2+3\,a^9\,b^2\,c^2\,d\,f^2+4\,a^9\,b^2\,d^3\,f^2-a^8\,b^3\,c^3\,f^2-12\,a^8\,b^3\,c\,d^2\,f^2+12\,a^7\,b^4\,c^2\,d\,f^2+6\,a^7\,b^4\,d^3\,f^2-4\,a^6\,b^5\,c^3\,f^2-18\,a^6\,b^5\,c\,d^2\,f^2+18\,a^5\,b^6\,c^2\,d\,f^2+4\,a^5\,b^6\,d^3\,f^2-6\,a^4\,b^7\,c^3\,f^2-12\,a^4\,b^7\,c\,d^2\,f^2+12\,a^3\,b^8\,c^2\,d\,f^2+a^3\,b^8\,d^3\,f^2-4\,a^2\,b^9\,c^3\,f^2-3\,a^2\,b^9\,c\,d^2\,f^2+3\,a\,b^{10}\,c^2\,d\,f^2-b^{11}\,c^3\,f^2\right)}\,2{}\mathrm{i}}{b^9\,\left(8\,a^2\,c^3\,f^2+6\,a^2\,c\,d^2\,f^2\right)+b^3\,\left(2\,a^8\,c^3\,f^2+24\,a^8\,c\,d^2\,f^2\right)+b^7\,\left(12\,a^4\,c^3\,f^2+24\,a^4\,c\,d^2\,f^2\right)+b^5\,\left(8\,a^6\,c^3\,f^2+36\,a^6\,c\,d^2\,f^2\right)-b^2\,\left(6\,a^9\,c^2\,d\,f^2+8\,a^9\,d^3\,f^2\right)-b^8\,\left(24\,a^3\,c^2\,d\,f^2+2\,a^3\,d^3\,f^2\right)-b^4\,\left(24\,a^7\,c^2\,d\,f^2+12\,a^7\,d^3\,f^2\right)-b^6\,\left(36\,a^5\,c^2\,d\,f^2+8\,a^5\,d^3\,f^2\right)-2\,a^{11}\,d^3\,f^2+2\,b^{11}\,c^3\,f^2-6\,a\,b^{10}\,c^2\,d\,f^2+6\,a^{10}\,b\,c\,d^2\,f^2}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{8\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{8\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}}{\frac{32\,\left(5\,a^3\,b^6\,d^{10}-9\,a^2\,b^7\,c\,d^9+4\,a\,b^8\,c^2\,d^8+a\,b^8\,d^{10}-b^9\,c\,d^9\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{8\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{8\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)}{f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{1}{c-d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{f\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)\,8{}\mathrm{i}}{f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)\,8{}\mathrm{i}}{f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}}{\frac{32\,\left(5\,a^3\,b^6\,d^{10}-9\,a^2\,b^7\,c\,d^9+4\,a\,b^8\,c^2\,d^8+a\,b^8\,d^{10}-b^9\,c\,d^9\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}-\frac{\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)\,8{}\mathrm{i}}{f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}-\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-27\,a^6\,b^5\,d^{10}+44\,a^5\,b^6\,c\,d^9-18\,a^4\,b^7\,c^2\,d^8+11\,a^4\,b^7\,d^{10}-24\,a^3\,b^8\,c\,d^9+12\,a^2\,b^9\,c^2\,d^8+7\,a^2\,b^9\,d^{10}-4\,a\,b^{10}\,c\,d^9-2\,b^{11}\,c^2\,d^8+b^{11}\,d^{10}\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}+\frac{\left(\frac{16\,\left(50\,a^8\,b^5\,d^{11}\,f^2+80\,a^7\,b^6\,c\,d^{10}\,f^2-216\,a^6\,b^7\,c^2\,d^9\,f^2-120\,a^6\,b^7\,d^{11}\,f^2+96\,a^5\,b^8\,c^3\,d^8\,f^2+288\,a^5\,b^8\,c\,d^{10}\,f^2-232\,a^4\,b^9\,c^2\,d^9\,f^2-196\,a^4\,b^9\,d^{11}\,f^2+64\,a^3\,b^{10}\,c^3\,d^8\,f^2+208\,a^3\,b^{10}\,c\,d^{10}\,f^2-8\,a^2\,b^{11}\,c^2\,d^9\,f^2-24\,a^2\,b^{11}\,d^{11}\,f^2-32\,a\,b^{12}\,c^3\,d^8\,f^2+8\,b^{13}\,c^2\,d^9\,f^2+2\,b^{13}\,d^{11}\,f^2\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\left(\frac{16\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-4\,a^{13}\,b^2\,d^{11}\,f^2+12\,a^{12}\,b^3\,c\,d^{10}\,f^2-12\,a^{11}\,b^4\,c^2\,d^9\,f^2-12\,a^{11}\,b^4\,d^{11}\,f^2+4\,a^{10}\,b^5\,c^3\,d^8\,f^2-80\,a^{10}\,b^5\,c\,d^{10}\,f^2+156\,a^9\,b^6\,c^2\,d^9\,f^2+256\,a^9\,b^6\,d^{11}\,f^2-68\,a^8\,b^7\,c^3\,d^8\,f^2-500\,a^8\,b^7\,c\,d^{10}\,f^2+232\,a^7\,b^8\,c^2\,d^9\,f^2+552\,a^7\,b^8\,d^{11}\,f^2+8\,a^6\,b^9\,c^3\,d^8\,f^2-640\,a^6\,b^9\,c\,d^{10}\,f^2-104\,a^5\,b^{10}\,c^2\,d^9\,f^2+316\,a^5\,b^{10}\,d^{11}\,f^2+216\,a^4\,b^{11}\,c^3\,d^8\,f^2-156\,a^4\,b^{11}\,c\,d^{10}\,f^2-220\,a^3\,b^{12}\,c^2\,d^9\,f^2+36\,a^3\,b^{12}\,d^{11}\,f^2+116\,a^2\,b^{13}\,c^3\,d^8\,f^2+80\,a^2\,b^{13}\,c\,d^{10}\,f^2-52\,a\,b^{14}\,c^2\,d^9\,f^2+8\,a\,b^{14}\,d^{11}\,f^2-20\,b^{15}\,c^3\,d^8\,f^2+4\,b^{15}\,c\,d^{10}\,f^2\right)}{a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4}-\frac{\left(\frac{16\,\left(-8\,a^{15}\,b^2\,d^{12}\,f^4-8\,a^{14}\,b^3\,c\,d^{11}\,f^4+72\,a^{13}\,b^4\,c^2\,d^{10}\,f^4+16\,a^{13}\,b^4\,d^{12}\,f^4-88\,a^{12}\,b^5\,c^3\,d^9\,f^4-144\,a^{12}\,b^5\,c\,d^{11}\,f^4+32\,a^{11}\,b^6\,c^4\,d^8\,f^4+416\,a^{11}\,b^6\,c^2\,d^{10}\,f^4+216\,a^{11}\,b^6\,d^{12}\,f^4-448\,a^{10}\,b^7\,c^3\,d^9\,f^4-616\,a^{10}\,b^7\,c\,d^{11}\,f^4+160\,a^9\,b^8\,c^4\,d^8\,f^4+1000\,a^9\,b^8\,c^2\,d^{10}\,f^4+560\,a^9\,b^8\,d^{12}\,f^4-920\,a^8\,b^9\,c^3\,d^9\,f^4-1200\,a^8\,b^9\,c\,d^{11}\,f^4+320\,a^7\,b^{10}\,c^4\,d^8\,f^4+1280\,a^7\,b^{10}\,c^2\,d^{10}\,f^4+680\,a^7\,b^{10}\,d^{12}\,f^4-960\,a^6\,b^{11}\,c^3\,d^9\,f^4-1240\,a^6\,b^{11}\,c\,d^{11}\,f^4+320\,a^5\,b^{12}\,c^4\,d^8\,f^4+920\,a^5\,b^{12}\,c^2\,d^{10}\,f^4+432\,a^5\,b^{12}\,d^{12}\,f^4-520\,a^4\,b^{13}\,c^3\,d^9\,f^4-688\,a^4\,b^{13}\,c\,d^{11}\,f^4+160\,a^3\,b^{14}\,c^4\,d^8\,f^4+352\,a^3\,b^{14}\,c^2\,d^{10}\,f^4+136\,a^3\,b^{14}\,d^{12}\,f^4-128\,a^2\,b^{15}\,c^3\,d^9\,f^4-184\,a^2\,b^{15}\,c\,d^{11}\,f^4+32\,a\,b^{16}\,c^4\,d^8\,f^4+56\,a\,b^{16}\,c^2\,d^{10}\,f^4+16\,a\,b^{16}\,d^{12}\,f^4-8\,b^{17}\,c^3\,d^9\,f^4-16\,b^{17}\,c\,d^{11}\,f^4\right)}{a^{10}\,d^2\,f^5-2\,a^9\,b\,c\,d\,f^5+a^8\,b^2\,c^2\,f^5+4\,a^8\,b^2\,d^2\,f^5-8\,a^7\,b^3\,c\,d\,f^5+4\,a^6\,b^4\,c^2\,f^5+6\,a^6\,b^4\,d^2\,f^5-12\,a^5\,b^5\,c\,d\,f^5+6\,a^4\,b^6\,c^2\,f^5+4\,a^4\,b^6\,d^2\,f^5-8\,a^3\,b^7\,c\,d\,f^5+4\,a^2\,b^8\,c^2\,f^5+a^2\,b^8\,d^2\,f^5-2\,a\,b^9\,c\,d\,f^5+b^{10}\,c^2\,f^5}+\frac{\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^{17}\,b^2\,c\,d^{11}\,f^4-48\,a^{16}\,b^3\,c^2\,d^{10}\,f^4-32\,a^{16}\,b^3\,d^{12}\,f^4+48\,a^{15}\,b^4\,c^3\,d^9\,f^4+176\,a^{15}\,b^4\,c\,d^{11}\,f^4-16\,a^{14}\,b^5\,c^4\,d^8\,f^4-304\,a^{14}\,b^5\,c^2\,d^{10}\,f^4-160\,a^{14}\,b^5\,d^{12}\,f^4+208\,a^{13}\,b^6\,c^3\,d^9\,f^4+656\,a^{13}\,b^6\,c\,d^{11}\,f^4-48\,a^{12}\,b^7\,c^4\,d^8\,f^4-784\,a^{12}\,b^7\,c^2\,d^{10}\,f^4-288\,a^{12}\,b^7\,d^{12}\,f^4+240\,a^{11}\,b^8\,c^3\,d^9\,f^4+1136\,a^{11}\,b^8\,c\,d^{11}\,f^4+48\,a^{10}\,b^9\,c^4\,d^8\,f^4-1008\,a^{10}\,b^9\,c^2\,d^{10}\,f^4-160\,a^{10}\,b^9\,d^{12}\,f^4-240\,a^9\,b^{10}\,c^3\,d^9\,f^4+880\,a^9\,b^{10}\,c\,d^{11}\,f^4+400\,a^8\,b^{11}\,c^4\,d^8\,f^4-560\,a^8\,b^{11}\,c^2\,d^{10}\,f^4+160\,a^8\,b^{11}\,d^{12}\,f^4-880\,a^7\,b^{12}\,c^3\,d^9\,f^4+16\,a^7\,b^{12}\,c\,d^{11}\,f^4+720\,a^6\,b^{13}\,c^4\,d^8\,f^4+112\,a^6\,b^{13}\,c^2\,d^{10}\,f^4+288\,a^6\,b^{13}\,d^{12}\,f^4-912\,a^5\,b^{14}\,c^3\,d^9\,f^4-464\,a^5\,b^{14}\,c\,d^{11}\,f^4+624\,a^4\,b^{15}\,c^4\,d^8\,f^4+336\,a^4\,b^{15}\,c^2\,d^{10}\,f^4+160\,a^4\,b^{15}\,d^{12}\,f^4-432\,a^3\,b^{16}\,c^3\,d^9\,f^4-304\,a^3\,b^{16}\,c\,d^{11}\,f^4+272\,a^2\,b^{17}\,c^4\,d^8\,f^4+176\,a^2\,b^{17}\,c^2\,d^{10}\,f^4+32\,a^2\,b^{17}\,d^{12}\,f^4-80\,a\,b^{18}\,c^3\,d^9\,f^4-64\,a\,b^{18}\,c\,d^{11}\,f^4+48\,b^{19}\,c^4\,d^8\,f^4+32\,b^{19}\,c^2\,d^{10}\,f^4\right)\,8{}\mathrm{i}}{f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)\,\left(a^{10}\,d^2\,f^4-2\,a^9\,b\,c\,d\,f^4+a^8\,b^2\,c^2\,f^4+4\,a^8\,b^2\,d^2\,f^4-8\,a^7\,b^3\,c\,d\,f^4+4\,a^6\,b^4\,c^2\,f^4+6\,a^6\,b^4\,d^2\,f^4-12\,a^5\,b^5\,c\,d\,f^4+6\,a^4\,b^6\,c^2\,f^4+4\,a^4\,b^6\,d^2\,f^4-8\,a^3\,b^7\,c\,d\,f^4+4\,a^2\,b^8\,c^2\,f^4+a^2\,b^8\,d^2\,f^4-2\,a\,b^9\,c\,d\,f^4+b^{10}\,c^2\,f^4\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}\,1{}\mathrm{i}}{2\,f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}}\right)\,\sqrt{\frac{1}{c+d\,1{}\mathrm{i}}}}{f\,\left(a^2+a\,b\,2{}\mathrm{i}-b^2\right)}+\frac{b^2\,d\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{\left(b\,f\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)+a\,d\,f-b\,c\,f\right)\,\left(d\,a^3-c\,a^2\,b+d\,a\,b^2-c\,b^3\right)}","Not used",1,"(atan(((((((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (16*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*1i)/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (((((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (16*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*1i)/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))/((((((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (16*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) + (16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (32*(a*b^8*d^10 - b^9*c*d^9 + 5*a^3*b^6*d^10 + 4*a*b^8*c^2*d^8 - 9*a^2*b^7*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (16*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/((b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2))/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2)))*(-(b^7*d^2 + 16*a^2*b^5*c^2 + 10*a^2*b^5*d^2 + 25*a^4*b^3*d^2 - 8*a*b^6*c*d - 40*a^3*b^4*c*d)*(a^11*d^3*f^2 - b^11*c^3*f^2 - 4*a^2*b^9*c^3*f^2 - 6*a^4*b^7*c^3*f^2 - 4*a^6*b^5*c^3*f^2 - a^8*b^3*c^3*f^2 + a^3*b^8*d^3*f^2 + 4*a^5*b^6*d^3*f^2 + 6*a^7*b^4*d^3*f^2 + 4*a^9*b^2*d^3*f^2 + 3*a*b^10*c^2*d*f^2 - 3*a^10*b*c*d^2*f^2 - 3*a^2*b^9*c*d^2*f^2 + 12*a^3*b^8*c^2*d*f^2 - 12*a^4*b^7*c*d^2*f^2 + 18*a^5*b^6*c^2*d*f^2 - 18*a^6*b^5*c*d^2*f^2 + 12*a^7*b^4*c^2*d*f^2 - 12*a^8*b^3*c*d^2*f^2 + 3*a^9*b^2*c^2*d*f^2))^(1/2)*2i)/(b^9*(8*a^2*c^3*f^2 + 6*a^2*c*d^2*f^2) + b^3*(2*a^8*c^3*f^2 + 24*a^8*c*d^2*f^2) + b^7*(12*a^4*c^3*f^2 + 24*a^4*c*d^2*f^2) + b^5*(8*a^6*c^3*f^2 + 36*a^6*c*d^2*f^2) - b^2*(8*a^9*d^3*f^2 + 6*a^9*c^2*d*f^2) - b^8*(2*a^3*d^3*f^2 + 24*a^3*c^2*d*f^2) - b^4*(12*a^7*d^3*f^2 + 24*a^7*c^2*d*f^2) - b^6*(8*a^5*d^3*f^2 + 36*a^5*c^2*d*f^2) - 2*a^11*d^3*f^2 + 2*b^11*c^3*f^2 - 6*a*b^10*c^2*d*f^2 + 6*a^10*b*c*d^2*f^2) - (atan(((((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (8*(1/(c - d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/(f*(2*a*b + a^2*1i - b^2*1i)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2)*1i)/(2*f*(2*a*b + a^2*1i - b^2*1i)) + (((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (8*(1/(c - d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/(f*(2*a*b + a^2*1i - b^2*1i)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2)*1i)/(2*f*(2*a*b + a^2*1i - b^2*1i)))/((32*(a*b^8*d^10 - b^9*c*d^9 + 5*a^3*b^6*d^10 + 4*a*b^8*c^2*d^8 - 9*a^2*b^7*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (8*(1/(c - d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/(f*(2*a*b + a^2*1i - b^2*1i)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)) - (((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (8*(1/(c - d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4))/(f*(2*a*b + a^2*1i - b^2*1i)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i)))*(1/(c - d*1i))^(1/2))/(2*f*(2*a*b + a^2*1i - b^2*1i))))*(1/(c - d*1i))^(1/2)*1i)/(f*(2*a*b + a^2*1i - b^2*1i)) - (atan(((((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((1/(c + d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4)*8i)/(f*(a*b*2i + a^2 - b^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2))/(2*f*(a*b*2i + a^2 - b^2)) + (((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((1/(c + d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4)*8i)/(f*(a*b*2i + a^2 - b^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2))/(2*f*(a*b*2i + a^2 - b^2)))/((32*(a*b^8*d^10 - b^9*c*d^9 + 5*a^3*b^6*d^10 + 4*a*b^8*c^2*d^8 - 9*a^2*b^7*c*d^9))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) - ((1/(c + d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4)*8i)/(f*(a*b*2i + a^2 - b^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)) - (((16*(c + d*tan(e + f*x))^(1/2)*(b^11*d^10 + 7*a^2*b^9*d^10 + 11*a^4*b^7*d^10 - 27*a^6*b^5*d^10 - 2*b^11*c^2*d^8 - 24*a^3*b^8*c*d^9 + 44*a^5*b^6*c*d^9 + 12*a^2*b^9*c^2*d^8 - 18*a^4*b^7*c^2*d^8 - 4*a*b^10*c*d^9))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) + (((16*(2*b^13*d^11*f^2 - 24*a^2*b^11*d^11*f^2 - 196*a^4*b^9*d^11*f^2 - 120*a^6*b^7*d^11*f^2 + 50*a^8*b^5*d^11*f^2 + 8*b^13*c^2*d^9*f^2 - 8*a^2*b^11*c^2*d^9*f^2 + 64*a^3*b^10*c^3*d^8*f^2 - 232*a^4*b^9*c^2*d^9*f^2 + 96*a^5*b^8*c^3*d^8*f^2 - 216*a^6*b^7*c^2*d^9*f^2 - 32*a*b^12*c^3*d^8*f^2 + 208*a^3*b^10*c*d^10*f^2 + 288*a^5*b^8*c*d^10*f^2 + 80*a^7*b^6*c*d^10*f^2))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(8*a*b^14*d^11*f^2 + 4*b^15*c*d^10*f^2 + 36*a^3*b^12*d^11*f^2 + 316*a^5*b^10*d^11*f^2 + 552*a^7*b^8*d^11*f^2 + 256*a^9*b^6*d^11*f^2 - 12*a^11*b^4*d^11*f^2 - 4*a^13*b^2*d^11*f^2 - 20*b^15*c^3*d^8*f^2 + 116*a^2*b^13*c^3*d^8*f^2 - 220*a^3*b^12*c^2*d^9*f^2 + 216*a^4*b^11*c^3*d^8*f^2 - 104*a^5*b^10*c^2*d^9*f^2 + 8*a^6*b^9*c^3*d^8*f^2 + 232*a^7*b^8*c^2*d^9*f^2 - 68*a^8*b^7*c^3*d^8*f^2 + 156*a^9*b^6*c^2*d^9*f^2 + 4*a^10*b^5*c^3*d^8*f^2 - 12*a^11*b^4*c^2*d^9*f^2 - 52*a*b^14*c^2*d^9*f^2 + 80*a^2*b^13*c*d^10*f^2 - 156*a^4*b^11*c*d^10*f^2 - 640*a^6*b^9*c*d^10*f^2 - 500*a^8*b^7*c*d^10*f^2 - 80*a^10*b^5*c*d^10*f^2 + 12*a^12*b^3*c*d^10*f^2))/(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4) - (((16*(16*a*b^16*d^12*f^4 - 16*b^17*c*d^11*f^4 + 136*a^3*b^14*d^12*f^4 + 432*a^5*b^12*d^12*f^4 + 680*a^7*b^10*d^12*f^4 + 560*a^9*b^8*d^12*f^4 + 216*a^11*b^6*d^12*f^4 + 16*a^13*b^4*d^12*f^4 - 8*a^15*b^2*d^12*f^4 - 8*b^17*c^3*d^9*f^4 - 128*a^2*b^15*c^3*d^9*f^4 + 352*a^3*b^14*c^2*d^10*f^4 + 160*a^3*b^14*c^4*d^8*f^4 - 520*a^4*b^13*c^3*d^9*f^4 + 920*a^5*b^12*c^2*d^10*f^4 + 320*a^5*b^12*c^4*d^8*f^4 - 960*a^6*b^11*c^3*d^9*f^4 + 1280*a^7*b^10*c^2*d^10*f^4 + 320*a^7*b^10*c^4*d^8*f^4 - 920*a^8*b^9*c^3*d^9*f^4 + 1000*a^9*b^8*c^2*d^10*f^4 + 160*a^9*b^8*c^4*d^8*f^4 - 448*a^10*b^7*c^3*d^9*f^4 + 416*a^11*b^6*c^2*d^10*f^4 + 32*a^11*b^6*c^4*d^8*f^4 - 88*a^12*b^5*c^3*d^9*f^4 + 72*a^13*b^4*c^2*d^10*f^4 + 56*a*b^16*c^2*d^10*f^4 + 32*a*b^16*c^4*d^8*f^4 - 184*a^2*b^15*c*d^11*f^4 - 688*a^4*b^13*c*d^11*f^4 - 1240*a^6*b^11*c*d^11*f^4 - 1200*a^8*b^9*c*d^11*f^4 - 616*a^10*b^7*c*d^11*f^4 - 144*a^12*b^5*c*d^11*f^4 - 8*a^14*b^3*c*d^11*f^4))/(a^10*d^2*f^5 + b^10*c^2*f^5 + 4*a^2*b^8*c^2*f^5 + 6*a^4*b^6*c^2*f^5 + 4*a^6*b^4*c^2*f^5 + a^8*b^2*c^2*f^5 + a^2*b^8*d^2*f^5 + 4*a^4*b^6*d^2*f^5 + 6*a^6*b^4*d^2*f^5 + 4*a^8*b^2*d^2*f^5 - 2*a*b^9*c*d*f^5 - 2*a^9*b*c*d*f^5 - 8*a^3*b^7*c*d*f^5 - 12*a^5*b^5*c*d*f^5 - 8*a^7*b^3*c*d*f^5) + ((1/(c + d*1i))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(32*a^2*b^17*d^12*f^4 + 160*a^4*b^15*d^12*f^4 + 288*a^6*b^13*d^12*f^4 + 160*a^8*b^11*d^12*f^4 - 160*a^10*b^9*d^12*f^4 - 288*a^12*b^7*d^12*f^4 - 160*a^14*b^5*d^12*f^4 - 32*a^16*b^3*d^12*f^4 + 32*b^19*c^2*d^10*f^4 + 48*b^19*c^4*d^8*f^4 + 176*a^2*b^17*c^2*d^10*f^4 + 272*a^2*b^17*c^4*d^8*f^4 - 432*a^3*b^16*c^3*d^9*f^4 + 336*a^4*b^15*c^2*d^10*f^4 + 624*a^4*b^15*c^4*d^8*f^4 - 912*a^5*b^14*c^3*d^9*f^4 + 112*a^6*b^13*c^2*d^10*f^4 + 720*a^6*b^13*c^4*d^8*f^4 - 880*a^7*b^12*c^3*d^9*f^4 - 560*a^8*b^11*c^2*d^10*f^4 + 400*a^8*b^11*c^4*d^8*f^4 - 240*a^9*b^10*c^3*d^9*f^4 - 1008*a^10*b^9*c^2*d^10*f^4 + 48*a^10*b^9*c^4*d^8*f^4 + 240*a^11*b^8*c^3*d^9*f^4 - 784*a^12*b^7*c^2*d^10*f^4 - 48*a^12*b^7*c^4*d^8*f^4 + 208*a^13*b^6*c^3*d^9*f^4 - 304*a^14*b^5*c^2*d^10*f^4 - 16*a^14*b^5*c^4*d^8*f^4 + 48*a^15*b^4*c^3*d^9*f^4 - 48*a^16*b^3*c^2*d^10*f^4 - 64*a*b^18*c*d^11*f^4 - 80*a*b^18*c^3*d^9*f^4 - 304*a^3*b^16*c*d^11*f^4 - 464*a^5*b^14*c*d^11*f^4 + 16*a^7*b^12*c*d^11*f^4 + 880*a^9*b^10*c*d^11*f^4 + 1136*a^11*b^8*c*d^11*f^4 + 656*a^13*b^6*c*d^11*f^4 + 176*a^15*b^4*c*d^11*f^4 + 16*a^17*b^2*c*d^11*f^4)*8i)/(f*(a*b*2i + a^2 - b^2)*(a^10*d^2*f^4 + b^10*c^2*f^4 + 4*a^2*b^8*c^2*f^4 + 6*a^4*b^6*c^2*f^4 + 4*a^6*b^4*c^2*f^4 + a^8*b^2*c^2*f^4 + a^2*b^8*d^2*f^4 + 4*a^4*b^6*d^2*f^4 + 6*a^6*b^4*d^2*f^4 + 4*a^8*b^2*d^2*f^4 - 2*a*b^9*c*d*f^4 - 2*a^9*b*c*d*f^4 - 8*a^3*b^7*c*d*f^4 - 12*a^5*b^5*c*d*f^4 - 8*a^7*b^3*c*d*f^4)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2)))*(1/(c + d*1i))^(1/2)*1i)/(2*f*(a*b*2i + a^2 - b^2))))*(1/(c + d*1i))^(1/2))/(f*(a*b*2i + a^2 - b^2)) + (b^2*d*(c + d*tan(e + f*x))^(1/2))/((b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f)*(a^3*d - b^3*c - a^2*b*c + a*b^2*d))","B"
1253,1,26741,317,23.381691,"\text{Not used}","int((a + b*tan(e + f*x))^4/(c + d*tan(e + f*x))^(3/2),x)","\frac{2\,b^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,d^3\,f}-\left(\frac{8\,b^4\,c-8\,a\,b^3\,d}{d^3\,f}-\frac{4\,b^4\,c}{d^3\,f}\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}-\frac{2\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{d^3\,f\,\left(c^2+d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}-\mathrm{atan}\left(-\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(128\,a^3\,b\,d^{12}\,f^4-128\,a\,b^3\,d^{12}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-128\,a\,b^3\,d^{12}\,f^4+128\,a^3\,b\,d^{12}\,f^4+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(128\,a^3\,b\,d^{12}\,f^4-128\,a\,b^3\,d^{12}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-128\,a\,b^3\,d^{12}\,f^4+128\,a^3\,b\,d^{12}\,f^4+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-16\,a^{12}\,d^9\,f^2-16\,b^{12}\,d^9\,f^2+32\,a^2\,b^{10}\,d^9\,f^2+272\,a^4\,b^8\,d^9\,f^2+448\,a^6\,b^6\,d^9\,f^2+272\,a^8\,b^4\,d^9\,f^2+32\,a^{10}\,b^2\,d^9\,f^2-48\,a^{12}\,c^2\,d^7\,f^2-48\,a^{12}\,c^4\,d^5\,f^2-16\,a^{12}\,c^6\,d^3\,f^2-48\,b^{12}\,c^2\,d^7\,f^2-48\,b^{12}\,c^4\,d^5\,f^2-16\,b^{12}\,c^6\,d^3\,f^2+96\,a^2\,b^{10}\,c^2\,d^7\,f^2+96\,a^2\,b^{10}\,c^4\,d^5\,f^2+32\,a^2\,b^{10}\,c^6\,d^3\,f^2-576\,a^3\,b^9\,c^3\,d^6\,f^2-576\,a^3\,b^9\,c^5\,d^4\,f^2-192\,a^3\,b^9\,c^7\,d^2\,f^2+816\,a^4\,b^8\,c^2\,d^7\,f^2+816\,a^4\,b^8\,c^4\,d^5\,f^2+272\,a^4\,b^8\,c^6\,d^3\,f^2-384\,a^5\,b^7\,c^3\,d^6\,f^2-384\,a^5\,b^7\,c^5\,d^4\,f^2-128\,a^5\,b^7\,c^7\,d^2\,f^2+1344\,a^6\,b^6\,c^2\,d^7\,f^2+1344\,a^6\,b^6\,c^4\,d^5\,f^2+448\,a^6\,b^6\,c^6\,d^3\,f^2+384\,a^7\,b^5\,c^3\,d^6\,f^2+384\,a^7\,b^5\,c^5\,d^4\,f^2+128\,a^7\,b^5\,c^7\,d^2\,f^2+816\,a^8\,b^4\,c^2\,d^7\,f^2+816\,a^8\,b^4\,c^4\,d^5\,f^2+272\,a^8\,b^4\,c^6\,d^3\,f^2+576\,a^9\,b^3\,c^3\,d^6\,f^2+576\,a^9\,b^3\,c^5\,d^4\,f^2+192\,a^9\,b^3\,c^7\,d^2\,f^2+96\,a^{10}\,b^2\,c^2\,d^7\,f^2+96\,a^{10}\,b^2\,c^4\,d^5\,f^2+32\,a^{10}\,b^2\,c^6\,d^3\,f^2-64\,a\,b^{11}\,c\,d^8\,f^2+64\,a^{11}\,b\,c\,d^8\,f^2-192\,a\,b^{11}\,c^3\,d^6\,f^2-192\,a\,b^{11}\,c^5\,d^4\,f^2-64\,a\,b^{11}\,c^7\,d^2\,f^2-192\,a^3\,b^9\,c\,d^8\,f^2-128\,a^5\,b^7\,c\,d^8\,f^2+128\,a^7\,b^5\,c\,d^8\,f^2+192\,a^9\,b^3\,c\,d^8\,f^2+192\,a^{11}\,b\,c^3\,d^6\,f^2+192\,a^{11}\,b\,c^5\,d^4\,f^2+64\,a^{11}\,b\,c^7\,d^2\,f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^3\,f^2-4\,b^8\,c^3\,f^2-32\,a\,b^7\,d^3\,f^2+32\,a^7\,b\,d^3\,f^2+12\,a^8\,c\,d^2\,f^2+12\,b^8\,c\,d^2\,f^2+112\,a^2\,b^6\,c^3\,f^2-280\,a^4\,b^4\,c^3\,f^2+112\,a^6\,b^2\,c^3\,f^2+224\,a^3\,b^5\,d^3\,f^2-224\,a^5\,b^3\,d^3\,f^2+96\,a\,b^7\,c^2\,d\,f^2-96\,a^7\,b\,c^2\,d\,f^2-336\,a^2\,b^6\,c\,d^2\,f^2-672\,a^3\,b^5\,c^2\,d\,f^2+840\,a^4\,b^4\,c\,d^2\,f^2+672\,a^5\,b^3\,c^2\,d\,f^2-336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(128\,a^3\,b\,d^{12}\,f^4-128\,a\,b^3\,d^{12}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-128\,a\,b^3\,d^{12}\,f^4+128\,a^3\,b\,d^{12}\,f^4+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(128\,a^3\,b\,d^{12}\,f^4-128\,a\,b^3\,d^{12}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^8\,d^2\,f^3-32\,a^8\,c^6\,d^4\,f^3+32\,a^8\,c^2\,d^8\,f^3+16\,a^8\,d^{10}\,f^3-256\,a^7\,b\,c^7\,d^3\,f^3-768\,a^7\,b\,c^5\,d^5\,f^3-768\,a^7\,b\,c^3\,d^7\,f^3-256\,a^7\,b\,c\,d^9\,f^3+448\,a^6\,b^2\,c^8\,d^2\,f^3+896\,a^6\,b^2\,c^6\,d^4\,f^3-896\,a^6\,b^2\,c^2\,d^8\,f^3-448\,a^6\,b^2\,d^{10}\,f^3+1792\,a^5\,b^3\,c^7\,d^3\,f^3+5376\,a^5\,b^3\,c^5\,d^5\,f^3+5376\,a^5\,b^3\,c^3\,d^7\,f^3+1792\,a^5\,b^3\,c\,d^9\,f^3-1120\,a^4\,b^4\,c^8\,d^2\,f^3-2240\,a^4\,b^4\,c^6\,d^4\,f^3+2240\,a^4\,b^4\,c^2\,d^8\,f^3+1120\,a^4\,b^4\,d^{10}\,f^3-1792\,a^3\,b^5\,c^7\,d^3\,f^3-5376\,a^3\,b^5\,c^5\,d^5\,f^3-5376\,a^3\,b^5\,c^3\,d^7\,f^3-1792\,a^3\,b^5\,c\,d^9\,f^3+448\,a^2\,b^6\,c^8\,d^2\,f^3+896\,a^2\,b^6\,c^6\,d^4\,f^3-896\,a^2\,b^6\,c^2\,d^8\,f^3-448\,a^2\,b^6\,d^{10}\,f^3+256\,a\,b^7\,c^7\,d^3\,f^3+768\,a\,b^7\,c^5\,d^5\,f^3+768\,a\,b^7\,c^3\,d^7\,f^3+256\,a\,b^7\,c\,d^9\,f^3-16\,b^8\,c^8\,d^2\,f^3-32\,b^8\,c^6\,d^4\,f^3+32\,b^8\,c^2\,d^8\,f^3+16\,b^8\,d^{10}\,f^3\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-128\,a\,b^3\,d^{12}\,f^4+128\,a^3\,b\,d^{12}\,f^4+64\,a^4\,c\,d^{11}\,f^4+64\,b^4\,c\,d^{11}\,f^4+256\,a^4\,c^3\,d^9\,f^4+384\,a^4\,c^5\,d^7\,f^4+256\,a^4\,c^7\,d^5\,f^4+64\,a^4\,c^9\,d^3\,f^4+256\,b^4\,c^3\,d^9\,f^4+384\,b^4\,c^5\,d^7\,f^4+256\,b^4\,c^7\,d^5\,f^4+64\,b^4\,c^9\,d^3\,f^4-1536\,a^2\,b^2\,c^3\,d^9\,f^4-2304\,a^2\,b^2\,c^5\,d^7\,f^4-1536\,a^2\,b^2\,c^7\,d^5\,f^4-384\,a^2\,b^2\,c^9\,d^3\,f^4-384\,a\,b^3\,c^2\,d^{10}\,f^4-256\,a\,b^3\,c^4\,d^8\,f^4+256\,a\,b^3\,c^6\,d^6\,f^4+384\,a\,b^3\,c^8\,d^4\,f^4+128\,a\,b^3\,c^{10}\,d^2\,f^4-384\,a^2\,b^2\,c\,d^{11}\,f^4+384\,a^3\,b\,c^2\,d^{10}\,f^4+256\,a^3\,b\,c^4\,d^8\,f^4-256\,a^3\,b\,c^6\,d^6\,f^4-384\,a^3\,b\,c^8\,d^4\,f^4-128\,a^3\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-16\,a^{12}\,d^9\,f^2-16\,b^{12}\,d^9\,f^2+32\,a^2\,b^{10}\,d^9\,f^2+272\,a^4\,b^8\,d^9\,f^2+448\,a^6\,b^6\,d^9\,f^2+272\,a^8\,b^4\,d^9\,f^2+32\,a^{10}\,b^2\,d^9\,f^2-48\,a^{12}\,c^2\,d^7\,f^2-48\,a^{12}\,c^4\,d^5\,f^2-16\,a^{12}\,c^6\,d^3\,f^2-48\,b^{12}\,c^2\,d^7\,f^2-48\,b^{12}\,c^4\,d^5\,f^2-16\,b^{12}\,c^6\,d^3\,f^2+96\,a^2\,b^{10}\,c^2\,d^7\,f^2+96\,a^2\,b^{10}\,c^4\,d^5\,f^2+32\,a^2\,b^{10}\,c^6\,d^3\,f^2-576\,a^3\,b^9\,c^3\,d^6\,f^2-576\,a^3\,b^9\,c^5\,d^4\,f^2-192\,a^3\,b^9\,c^7\,d^2\,f^2+816\,a^4\,b^8\,c^2\,d^7\,f^2+816\,a^4\,b^8\,c^4\,d^5\,f^2+272\,a^4\,b^8\,c^6\,d^3\,f^2-384\,a^5\,b^7\,c^3\,d^6\,f^2-384\,a^5\,b^7\,c^5\,d^4\,f^2-128\,a^5\,b^7\,c^7\,d^2\,f^2+1344\,a^6\,b^6\,c^2\,d^7\,f^2+1344\,a^6\,b^6\,c^4\,d^5\,f^2+448\,a^6\,b^6\,c^6\,d^3\,f^2+384\,a^7\,b^5\,c^3\,d^6\,f^2+384\,a^7\,b^5\,c^5\,d^4\,f^2+128\,a^7\,b^5\,c^7\,d^2\,f^2+816\,a^8\,b^4\,c^2\,d^7\,f^2+816\,a^8\,b^4\,c^4\,d^5\,f^2+272\,a^8\,b^4\,c^6\,d^3\,f^2+576\,a^9\,b^3\,c^3\,d^6\,f^2+576\,a^9\,b^3\,c^5\,d^4\,f^2+192\,a^9\,b^3\,c^7\,d^2\,f^2+96\,a^{10}\,b^2\,c^2\,d^7\,f^2+96\,a^{10}\,b^2\,c^4\,d^5\,f^2+32\,a^{10}\,b^2\,c^6\,d^3\,f^2-64\,a\,b^{11}\,c\,d^8\,f^2+64\,a^{11}\,b\,c\,d^8\,f^2-192\,a\,b^{11}\,c^3\,d^6\,f^2-192\,a\,b^{11}\,c^5\,d^4\,f^2-64\,a\,b^{11}\,c^7\,d^2\,f^2-192\,a^3\,b^9\,c\,d^8\,f^2-128\,a^5\,b^7\,c\,d^8\,f^2+128\,a^7\,b^5\,c\,d^8\,f^2+192\,a^9\,b^3\,c\,d^8\,f^2+192\,a^{11}\,b\,c^3\,d^6\,f^2+192\,a^{11}\,b\,c^5\,d^4\,f^2+64\,a^{11}\,b\,c^7\,d^2\,f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^3\,f^2-24\,a^8\,c\,d^2\,f^2+192\,a^7\,b\,c^2\,d\,f^2-64\,a^7\,b\,d^3\,f^2-224\,a^6\,b^2\,c^3\,f^2+672\,a^6\,b^2\,c\,d^2\,f^2-1344\,a^5\,b^3\,c^2\,d\,f^2+448\,a^5\,b^3\,d^3\,f^2+560\,a^4\,b^4\,c^3\,f^2-1680\,a^4\,b^4\,c\,d^2\,f^2+1344\,a^3\,b^5\,c^2\,d\,f^2-448\,a^3\,b^5\,d^3\,f^2-224\,a^2\,b^6\,c^3\,f^2+672\,a^2\,b^6\,c\,d^2\,f^2-192\,a\,b^7\,c^2\,d\,f^2+64\,a\,b^7\,d^3\,f^2+8\,b^8\,c^3\,f^2-24\,b^8\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^3\,f^2+4\,b^8\,c^3\,f^2+32\,a\,b^7\,d^3\,f^2-32\,a^7\,b\,d^3\,f^2-12\,a^8\,c\,d^2\,f^2-12\,b^8\,c\,d^2\,f^2-112\,a^2\,b^6\,c^3\,f^2+280\,a^4\,b^4\,c^3\,f^2-112\,a^6\,b^2\,c^3\,f^2-224\,a^3\,b^5\,d^3\,f^2+224\,a^5\,b^3\,d^3\,f^2-96\,a\,b^7\,c^2\,d\,f^2+96\,a^7\,b\,c^2\,d\,f^2+336\,a^2\,b^6\,c\,d^2\,f^2+672\,a^3\,b^5\,c^2\,d\,f^2-840\,a^4\,b^4\,c\,d^2\,f^2-672\,a^5\,b^3\,c^2\,d\,f^2+336\,a^6\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,2{}\mathrm{i}","Not used",1,"(2*b^4*(c + d*tan(e + f*x))^(3/2))/(3*d^3*f) - atan(-(((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) + (-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(128*a^3*b*d^12*f^4 - 128*a*b^3*d^12*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i + ((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) - (-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 128*a*b^3*d^12*f^4 + 128*a^3*b*d^12*f^4 + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i)/(((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) + (-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(128*a^3*b*d^12*f^4 - 128*a*b^3*d^12*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) - (-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 128*a*b^3*d^12*f^4 + 128*a^3*b*d^12*f^4 + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - 16*a^12*d^9*f^2 - 16*b^12*d^9*f^2 + 32*a^2*b^10*d^9*f^2 + 272*a^4*b^8*d^9*f^2 + 448*a^6*b^6*d^9*f^2 + 272*a^8*b^4*d^9*f^2 + 32*a^10*b^2*d^9*f^2 - 48*a^12*c^2*d^7*f^2 - 48*a^12*c^4*d^5*f^2 - 16*a^12*c^6*d^3*f^2 - 48*b^12*c^2*d^7*f^2 - 48*b^12*c^4*d^5*f^2 - 16*b^12*c^6*d^3*f^2 + 96*a^2*b^10*c^2*d^7*f^2 + 96*a^2*b^10*c^4*d^5*f^2 + 32*a^2*b^10*c^6*d^3*f^2 - 576*a^3*b^9*c^3*d^6*f^2 - 576*a^3*b^9*c^5*d^4*f^2 - 192*a^3*b^9*c^7*d^2*f^2 + 816*a^4*b^8*c^2*d^7*f^2 + 816*a^4*b^8*c^4*d^5*f^2 + 272*a^4*b^8*c^6*d^3*f^2 - 384*a^5*b^7*c^3*d^6*f^2 - 384*a^5*b^7*c^5*d^4*f^2 - 128*a^5*b^7*c^7*d^2*f^2 + 1344*a^6*b^6*c^2*d^7*f^2 + 1344*a^6*b^6*c^4*d^5*f^2 + 448*a^6*b^6*c^6*d^3*f^2 + 384*a^7*b^5*c^3*d^6*f^2 + 384*a^7*b^5*c^5*d^4*f^2 + 128*a^7*b^5*c^7*d^2*f^2 + 816*a^8*b^4*c^2*d^7*f^2 + 816*a^8*b^4*c^4*d^5*f^2 + 272*a^8*b^4*c^6*d^3*f^2 + 576*a^9*b^3*c^3*d^6*f^2 + 576*a^9*b^3*c^5*d^4*f^2 + 192*a^9*b^3*c^7*d^2*f^2 + 96*a^10*b^2*c^2*d^7*f^2 + 96*a^10*b^2*c^4*d^5*f^2 + 32*a^10*b^2*c^6*d^3*f^2 - 64*a*b^11*c*d^8*f^2 + 64*a^11*b*c*d^8*f^2 - 192*a*b^11*c^3*d^6*f^2 - 192*a*b^11*c^5*d^4*f^2 - 64*a*b^11*c^7*d^2*f^2 - 192*a^3*b^9*c*d^8*f^2 - 128*a^5*b^7*c*d^8*f^2 + 128*a^7*b^5*c*d^8*f^2 + 192*a^9*b^3*c*d^8*f^2 + 192*a^11*b*c^3*d^6*f^2 + 192*a^11*b*c^5*d^4*f^2 + 64*a^11*b*c^7*d^2*f^2))*(-(((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^3*f^2 + 4*b^8*c^3*f^2 + 32*a*b^7*d^3*f^2 - 32*a^7*b*d^3*f^2 - 12*a^8*c*d^2*f^2 - 12*b^8*c*d^2*f^2 - 112*a^2*b^6*c^3*f^2 + 280*a^4*b^4*c^3*f^2 - 112*a^6*b^2*c^3*f^2 - 224*a^3*b^5*d^3*f^2 + 224*a^5*b^3*d^3*f^2 - 96*a*b^7*c^2*d*f^2 + 96*a^7*b*c^2*d*f^2 + 336*a^2*b^6*c*d^2*f^2 + 672*a^3*b^5*c^2*d*f^2 - 840*a^4*b^4*c*d^2*f^2 - 672*a^5*b^3*c^2*d*f^2 + 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*2i - ((8*b^4*c - 8*a*b^3*d)/(d^3*f) - (4*b^4*c)/(d^3*f))*(c + d*tan(e + f*x))^(1/2) - atan(-(((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) + ((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(128*a^3*b*d^12*f^4 - 128*a*b^3*d^12*f^4 - (c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i + ((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) - ((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 128*a*b^3*d^12*f^4 + 128*a^3*b*d^12*f^4 + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i)/(((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) + ((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(128*a^3*b*d^12*f^4 - 128*a*b^3*d^12*f^4 - (c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(16*a^8*d^10*f^3 + 16*b^8*d^10*f^3 - 448*a^2*b^6*d^10*f^3 + 1120*a^4*b^4*d^10*f^3 - 448*a^6*b^2*d^10*f^3 + 32*a^8*c^2*d^8*f^3 - 32*a^8*c^6*d^4*f^3 - 16*a^8*c^8*d^2*f^3 + 32*b^8*c^2*d^8*f^3 - 32*b^8*c^6*d^4*f^3 - 16*b^8*c^8*d^2*f^3 - 896*a^2*b^6*c^2*d^8*f^3 + 896*a^2*b^6*c^6*d^4*f^3 + 448*a^2*b^6*c^8*d^2*f^3 - 5376*a^3*b^5*c^3*d^7*f^3 - 5376*a^3*b^5*c^5*d^5*f^3 - 1792*a^3*b^5*c^7*d^3*f^3 + 2240*a^4*b^4*c^2*d^8*f^3 - 2240*a^4*b^4*c^6*d^4*f^3 - 1120*a^4*b^4*c^8*d^2*f^3 + 5376*a^5*b^3*c^3*d^7*f^3 + 5376*a^5*b^3*c^5*d^5*f^3 + 1792*a^5*b^3*c^7*d^3*f^3 - 896*a^6*b^2*c^2*d^8*f^3 + 896*a^6*b^2*c^6*d^4*f^3 + 448*a^6*b^2*c^8*d^2*f^3 + 256*a*b^7*c*d^9*f^3 - 256*a^7*b*c*d^9*f^3 + 768*a*b^7*c^3*d^7*f^3 + 768*a*b^7*c^5*d^5*f^3 + 256*a*b^7*c^7*d^3*f^3 - 1792*a^3*b^5*c*d^9*f^3 + 1792*a^5*b^3*c*d^9*f^3 - 768*a^7*b*c^3*d^7*f^3 - 768*a^7*b*c^5*d^5*f^3 - 256*a^7*b*c^7*d^3*f^3) - ((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 128*a*b^3*d^12*f^4 + 128*a^3*b*d^12*f^4 + 64*a^4*c*d^11*f^4 + 64*b^4*c*d^11*f^4 + 256*a^4*c^3*d^9*f^4 + 384*a^4*c^5*d^7*f^4 + 256*a^4*c^7*d^5*f^4 + 64*a^4*c^9*d^3*f^4 + 256*b^4*c^3*d^9*f^4 + 384*b^4*c^5*d^7*f^4 + 256*b^4*c^7*d^5*f^4 + 64*b^4*c^9*d^3*f^4 - 1536*a^2*b^2*c^3*d^9*f^4 - 2304*a^2*b^2*c^5*d^7*f^4 - 1536*a^2*b^2*c^7*d^5*f^4 - 384*a^2*b^2*c^9*d^3*f^4 - 384*a*b^3*c^2*d^10*f^4 - 256*a*b^3*c^4*d^8*f^4 + 256*a*b^3*c^6*d^6*f^4 + 384*a*b^3*c^8*d^4*f^4 + 128*a*b^3*c^10*d^2*f^4 - 384*a^2*b^2*c*d^11*f^4 + 384*a^3*b*c^2*d^10*f^4 + 256*a^3*b*c^4*d^8*f^4 - 256*a^3*b*c^6*d^6*f^4 - 384*a^3*b*c^8*d^4*f^4 - 128*a^3*b*c^10*d^2*f^4))*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - 16*a^12*d^9*f^2 - 16*b^12*d^9*f^2 + 32*a^2*b^10*d^9*f^2 + 272*a^4*b^8*d^9*f^2 + 448*a^6*b^6*d^9*f^2 + 272*a^8*b^4*d^9*f^2 + 32*a^10*b^2*d^9*f^2 - 48*a^12*c^2*d^7*f^2 - 48*a^12*c^4*d^5*f^2 - 16*a^12*c^6*d^3*f^2 - 48*b^12*c^2*d^7*f^2 - 48*b^12*c^4*d^5*f^2 - 16*b^12*c^6*d^3*f^2 + 96*a^2*b^10*c^2*d^7*f^2 + 96*a^2*b^10*c^4*d^5*f^2 + 32*a^2*b^10*c^6*d^3*f^2 - 576*a^3*b^9*c^3*d^6*f^2 - 576*a^3*b^9*c^5*d^4*f^2 - 192*a^3*b^9*c^7*d^2*f^2 + 816*a^4*b^8*c^2*d^7*f^2 + 816*a^4*b^8*c^4*d^5*f^2 + 272*a^4*b^8*c^6*d^3*f^2 - 384*a^5*b^7*c^3*d^6*f^2 - 384*a^5*b^7*c^5*d^4*f^2 - 128*a^5*b^7*c^7*d^2*f^2 + 1344*a^6*b^6*c^2*d^7*f^2 + 1344*a^6*b^6*c^4*d^5*f^2 + 448*a^6*b^6*c^6*d^3*f^2 + 384*a^7*b^5*c^3*d^6*f^2 + 384*a^7*b^5*c^5*d^4*f^2 + 128*a^7*b^5*c^7*d^2*f^2 + 816*a^8*b^4*c^2*d^7*f^2 + 816*a^8*b^4*c^4*d^5*f^2 + 272*a^8*b^4*c^6*d^3*f^2 + 576*a^9*b^3*c^3*d^6*f^2 + 576*a^9*b^3*c^5*d^4*f^2 + 192*a^9*b^3*c^7*d^2*f^2 + 96*a^10*b^2*c^2*d^7*f^2 + 96*a^10*b^2*c^4*d^5*f^2 + 32*a^10*b^2*c^6*d^3*f^2 - 64*a*b^11*c*d^8*f^2 + 64*a^11*b*c*d^8*f^2 - 192*a*b^11*c^3*d^6*f^2 - 192*a*b^11*c^5*d^4*f^2 - 64*a*b^11*c^7*d^2*f^2 - 192*a^3*b^9*c*d^8*f^2 - 128*a^5*b^7*c*d^8*f^2 + 128*a^7*b^5*c*d^8*f^2 + 192*a^9*b^3*c*d^8*f^2 + 192*a^11*b*c^3*d^6*f^2 + 192*a^11*b*c^5*d^4*f^2 + 64*a^11*b*c^7*d^2*f^2))*((((8*a^8*c^3*f^2 + 8*b^8*c^3*f^2 + 64*a*b^7*d^3*f^2 - 64*a^7*b*d^3*f^2 - 24*a^8*c*d^2*f^2 - 24*b^8*c*d^2*f^2 - 224*a^2*b^6*c^3*f^2 + 560*a^4*b^4*c^3*f^2 - 224*a^6*b^2*c^3*f^2 - 448*a^3*b^5*d^3*f^2 + 448*a^5*b^3*d^3*f^2 - 192*a*b^7*c^2*d*f^2 + 192*a^7*b*c^2*d*f^2 + 672*a^2*b^6*c*d^2*f^2 + 1344*a^3*b^5*c^2*d*f^2 - 1680*a^4*b^4*c*d^2*f^2 - 1344*a^5*b^3*c^2*d*f^2 + 672*a^6*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^3*f^2 - 4*b^8*c^3*f^2 - 32*a*b^7*d^3*f^2 + 32*a^7*b*d^3*f^2 + 12*a^8*c*d^2*f^2 + 12*b^8*c*d^2*f^2 + 112*a^2*b^6*c^3*f^2 - 280*a^4*b^4*c^3*f^2 + 112*a^6*b^2*c^3*f^2 + 224*a^3*b^5*d^3*f^2 - 224*a^5*b^3*d^3*f^2 + 96*a*b^7*c^2*d*f^2 - 96*a^7*b*c^2*d*f^2 - 336*a^2*b^6*c*d^2*f^2 - 672*a^3*b^5*c^2*d*f^2 + 840*a^4*b^4*c*d^2*f^2 + 672*a^5*b^3*c^2*d*f^2 - 336*a^6*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*2i - (2*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(d^3*f*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/2))","B"
1254,1,20864,216,13.180372,"\text{Not used}","int((a + b*tan(e + f*x))^3/(c + d*tan(e + f*x))^(3/2),x)","\frac{2\,b^3\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{d^2\,f}-\frac{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{d^2\,f\,\left(c^2+d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-32\,b^3\,d^{12}\,f^4+96\,a^2\,b\,d^{12}\,f^4+64\,a^3\,c\,d^{11}\,f^4+256\,a^3\,c^3\,d^9\,f^4+384\,a^3\,c^5\,d^7\,f^4+256\,a^3\,c^7\,d^5\,f^4+64\,a^3\,c^9\,d^3\,f^4-96\,b^3\,c^2\,d^{10}\,f^4-64\,b^3\,c^4\,d^8\,f^4+64\,b^3\,c^6\,d^6\,f^4+96\,b^3\,c^8\,d^4\,f^4+32\,b^3\,c^{10}\,d^2\,f^4-192\,a\,b^2\,c\,d^{11}\,f^4-768\,a\,b^2\,c^3\,d^9\,f^4-1152\,a\,b^2\,c^5\,d^7\,f^4-768\,a\,b^2\,c^7\,d^5\,f^4-192\,a\,b^2\,c^9\,d^3\,f^4+288\,a^2\,b\,c^2\,d^{10}\,f^4+192\,a^2\,b\,c^4\,d^8\,f^4-192\,a^2\,b\,c^6\,d^6\,f^4-288\,a^2\,b\,c^8\,d^4\,f^4-96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(32\,b^3\,d^{12}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-96\,a^2\,b\,d^{12}\,f^4-64\,a^3\,c\,d^{11}\,f^4-256\,a^3\,c^3\,d^9\,f^4-384\,a^3\,c^5\,d^7\,f^4-256\,a^3\,c^7\,d^5\,f^4-64\,a^3\,c^9\,d^3\,f^4+96\,b^3\,c^2\,d^{10}\,f^4+64\,b^3\,c^4\,d^8\,f^4-64\,b^3\,c^6\,d^6\,f^4-96\,b^3\,c^8\,d^4\,f^4-32\,b^3\,c^{10}\,d^2\,f^4+192\,a\,b^2\,c\,d^{11}\,f^4+768\,a\,b^2\,c^3\,d^9\,f^4+1152\,a\,b^2\,c^5\,d^7\,f^4+768\,a\,b^2\,c^7\,d^5\,f^4+192\,a\,b^2\,c^9\,d^3\,f^4-288\,a^2\,b\,c^2\,d^{10}\,f^4-192\,a^2\,b\,c^4\,d^8\,f^4+192\,a^2\,b\,c^6\,d^6\,f^4+288\,a^2\,b\,c^8\,d^4\,f^4+96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-32\,b^3\,d^{12}\,f^4+96\,a^2\,b\,d^{12}\,f^4+64\,a^3\,c\,d^{11}\,f^4+256\,a^3\,c^3\,d^9\,f^4+384\,a^3\,c^5\,d^7\,f^4+256\,a^3\,c^7\,d^5\,f^4+64\,a^3\,c^9\,d^3\,f^4-96\,b^3\,c^2\,d^{10}\,f^4-64\,b^3\,c^4\,d^8\,f^4+64\,b^3\,c^6\,d^6\,f^4+96\,b^3\,c^8\,d^4\,f^4+32\,b^3\,c^{10}\,d^2\,f^4-192\,a\,b^2\,c\,d^{11}\,f^4-768\,a\,b^2\,c^3\,d^9\,f^4-1152\,a\,b^2\,c^5\,d^7\,f^4-768\,a\,b^2\,c^7\,d^5\,f^4-192\,a\,b^2\,c^9\,d^3\,f^4+288\,a^2\,b\,c^2\,d^{10}\,f^4+192\,a^2\,b\,c^4\,d^8\,f^4-192\,a^2\,b\,c^6\,d^6\,f^4-288\,a^2\,b\,c^8\,d^4\,f^4-96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(32\,b^3\,d^{12}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-96\,a^2\,b\,d^{12}\,f^4-64\,a^3\,c\,d^{11}\,f^4-256\,a^3\,c^3\,d^9\,f^4-384\,a^3\,c^5\,d^7\,f^4-256\,a^3\,c^7\,d^5\,f^4-64\,a^3\,c^9\,d^3\,f^4+96\,b^3\,c^2\,d^{10}\,f^4+64\,b^3\,c^4\,d^8\,f^4-64\,b^3\,c^6\,d^6\,f^4-96\,b^3\,c^8\,d^4\,f^4-32\,b^3\,c^{10}\,d^2\,f^4+192\,a\,b^2\,c\,d^{11}\,f^4+768\,a\,b^2\,c^3\,d^9\,f^4+1152\,a\,b^2\,c^5\,d^7\,f^4+768\,a\,b^2\,c^7\,d^5\,f^4+192\,a\,b^2\,c^9\,d^3\,f^4-288\,a^2\,b\,c^2\,d^{10}\,f^4-192\,a^2\,b\,c^4\,d^8\,f^4+192\,a^2\,b\,c^6\,d^6\,f^4+288\,a^2\,b\,c^8\,d^4\,f^4+96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-16\,a^9\,d^9\,f^2+48\,a\,b^8\,d^9\,f^2-16\,b^9\,c\,d^8\,f^2+128\,a^3\,b^6\,d^9\,f^2+96\,a^5\,b^4\,d^9\,f^2-48\,a^9\,c^2\,d^7\,f^2-48\,a^9\,c^4\,d^5\,f^2-16\,a^9\,c^6\,d^3\,f^2-48\,b^9\,c^3\,d^6\,f^2-48\,b^9\,c^5\,d^4\,f^2-16\,b^9\,c^7\,d^2\,f^2+384\,a^3\,b^6\,c^2\,d^7\,f^2+384\,a^3\,b^6\,c^4\,d^5\,f^2+128\,a^3\,b^6\,c^6\,d^3\,f^2+288\,a^4\,b^5\,c^3\,d^6\,f^2+288\,a^4\,b^5\,c^5\,d^4\,f^2+96\,a^4\,b^5\,c^7\,d^2\,f^2+288\,a^5\,b^4\,c^2\,d^7\,f^2+288\,a^5\,b^4\,c^4\,d^5\,f^2+96\,a^5\,b^4\,c^6\,d^3\,f^2+384\,a^6\,b^3\,c^3\,d^6\,f^2+384\,a^6\,b^3\,c^5\,d^4\,f^2+128\,a^6\,b^3\,c^7\,d^2\,f^2+48\,a^8\,b\,c\,d^8\,f^2+144\,a\,b^8\,c^2\,d^7\,f^2+144\,a\,b^8\,c^4\,d^5\,f^2+48\,a\,b^8\,c^6\,d^3\,f^2+96\,a^4\,b^5\,c\,d^8\,f^2+128\,a^6\,b^3\,c\,d^8\,f^2+144\,a^8\,b\,c^3\,d^6\,f^2+144\,a^8\,b\,c^5\,d^4\,f^2+48\,a^8\,b\,c^7\,d^2\,f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^3\,f^2+4\,b^6\,c^3\,f^2+24\,a\,b^5\,d^3\,f^2+24\,a^5\,b\,d^3\,f^2+12\,a^6\,c\,d^2\,f^2-12\,b^6\,c\,d^2\,f^2-60\,a^2\,b^4\,c^3\,f^2+60\,a^4\,b^2\,c^3\,f^2-80\,a^3\,b^3\,d^3\,f^2-72\,a\,b^5\,c^2\,d\,f^2-72\,a^5\,b\,c^2\,d\,f^2+180\,a^2\,b^4\,c\,d^2\,f^2+240\,a^3\,b^3\,c^2\,d\,f^2-180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-32\,b^3\,d^{12}\,f^4+96\,a^2\,b\,d^{12}\,f^4+64\,a^3\,c\,d^{11}\,f^4+256\,a^3\,c^3\,d^9\,f^4+384\,a^3\,c^5\,d^7\,f^4+256\,a^3\,c^7\,d^5\,f^4+64\,a^3\,c^9\,d^3\,f^4-96\,b^3\,c^2\,d^{10}\,f^4-64\,b^3\,c^4\,d^8\,f^4+64\,b^3\,c^6\,d^6\,f^4+96\,b^3\,c^8\,d^4\,f^4+32\,b^3\,c^{10}\,d^2\,f^4-192\,a\,b^2\,c\,d^{11}\,f^4-768\,a\,b^2\,c^3\,d^9\,f^4-1152\,a\,b^2\,c^5\,d^7\,f^4-768\,a\,b^2\,c^7\,d^5\,f^4-192\,a\,b^2\,c^9\,d^3\,f^4+288\,a^2\,b\,c^2\,d^{10}\,f^4+192\,a^2\,b\,c^4\,d^8\,f^4-192\,a^2\,b\,c^6\,d^6\,f^4-288\,a^2\,b\,c^8\,d^4\,f^4-96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(32\,b^3\,d^{12}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-96\,a^2\,b\,d^{12}\,f^4-64\,a^3\,c\,d^{11}\,f^4-256\,a^3\,c^3\,d^9\,f^4-384\,a^3\,c^5\,d^7\,f^4-256\,a^3\,c^7\,d^5\,f^4-64\,a^3\,c^9\,d^3\,f^4+96\,b^3\,c^2\,d^{10}\,f^4+64\,b^3\,c^4\,d^8\,f^4-64\,b^3\,c^6\,d^6\,f^4-96\,b^3\,c^8\,d^4\,f^4-32\,b^3\,c^{10}\,d^2\,f^4+192\,a\,b^2\,c\,d^{11}\,f^4+768\,a\,b^2\,c^3\,d^9\,f^4+1152\,a\,b^2\,c^5\,d^7\,f^4+768\,a\,b^2\,c^7\,d^5\,f^4+192\,a\,b^2\,c^9\,d^3\,f^4-288\,a^2\,b\,c^2\,d^{10}\,f^4-192\,a^2\,b\,c^4\,d^8\,f^4+192\,a^2\,b\,c^6\,d^6\,f^4+288\,a^2\,b\,c^8\,d^4\,f^4+96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-32\,b^3\,d^{12}\,f^4+96\,a^2\,b\,d^{12}\,f^4+64\,a^3\,c\,d^{11}\,f^4+256\,a^3\,c^3\,d^9\,f^4+384\,a^3\,c^5\,d^7\,f^4+256\,a^3\,c^7\,d^5\,f^4+64\,a^3\,c^9\,d^3\,f^4-96\,b^3\,c^2\,d^{10}\,f^4-64\,b^3\,c^4\,d^8\,f^4+64\,b^3\,c^6\,d^6\,f^4+96\,b^3\,c^8\,d^4\,f^4+32\,b^3\,c^{10}\,d^2\,f^4-192\,a\,b^2\,c\,d^{11}\,f^4-768\,a\,b^2\,c^3\,d^9\,f^4-1152\,a\,b^2\,c^5\,d^7\,f^4-768\,a\,b^2\,c^7\,d^5\,f^4-192\,a\,b^2\,c^9\,d^3\,f^4+288\,a^2\,b\,c^2\,d^{10}\,f^4+192\,a^2\,b\,c^4\,d^8\,f^4-192\,a^2\,b\,c^6\,d^6\,f^4-288\,a^2\,b\,c^8\,d^4\,f^4-96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(32\,b^3\,d^{12}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-96\,a^2\,b\,d^{12}\,f^4-64\,a^3\,c\,d^{11}\,f^4-256\,a^3\,c^3\,d^9\,f^4-384\,a^3\,c^5\,d^7\,f^4-256\,a^3\,c^7\,d^5\,f^4-64\,a^3\,c^9\,d^3\,f^4+96\,b^3\,c^2\,d^{10}\,f^4+64\,b^3\,c^4\,d^8\,f^4-64\,b^3\,c^6\,d^6\,f^4-96\,b^3\,c^8\,d^4\,f^4-32\,b^3\,c^{10}\,d^2\,f^4+192\,a\,b^2\,c\,d^{11}\,f^4+768\,a\,b^2\,c^3\,d^9\,f^4+1152\,a\,b^2\,c^5\,d^7\,f^4+768\,a\,b^2\,c^7\,d^5\,f^4+192\,a\,b^2\,c^9\,d^3\,f^4-288\,a^2\,b\,c^2\,d^{10}\,f^4-192\,a^2\,b\,c^4\,d^8\,f^4+192\,a^2\,b\,c^6\,d^6\,f^4+288\,a^2\,b\,c^8\,d^4\,f^4+96\,a^2\,b\,c^{10}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^8\,d^2\,f^3+32\,a^6\,c^6\,d^4\,f^3-32\,a^6\,c^2\,d^8\,f^3-16\,a^6\,d^{10}\,f^3+192\,a^5\,b\,c^7\,d^3\,f^3+576\,a^5\,b\,c^5\,d^5\,f^3+576\,a^5\,b\,c^3\,d^7\,f^3+192\,a^5\,b\,c\,d^9\,f^3-240\,a^4\,b^2\,c^8\,d^2\,f^3-480\,a^4\,b^2\,c^6\,d^4\,f^3+480\,a^4\,b^2\,c^2\,d^8\,f^3+240\,a^4\,b^2\,d^{10}\,f^3-640\,a^3\,b^3\,c^7\,d^3\,f^3-1920\,a^3\,b^3\,c^5\,d^5\,f^3-1920\,a^3\,b^3\,c^3\,d^7\,f^3-640\,a^3\,b^3\,c\,d^9\,f^3+240\,a^2\,b^4\,c^8\,d^2\,f^3+480\,a^2\,b^4\,c^6\,d^4\,f^3-480\,a^2\,b^4\,c^2\,d^8\,f^3-240\,a^2\,b^4\,d^{10}\,f^3+192\,a\,b^5\,c^7\,d^3\,f^3+576\,a\,b^5\,c^5\,d^5\,f^3+576\,a\,b^5\,c^3\,d^7\,f^3+192\,a\,b^5\,c\,d^9\,f^3-16\,b^6\,c^8\,d^2\,f^3-32\,b^6\,c^6\,d^4\,f^3+32\,b^6\,c^2\,d^8\,f^3+16\,b^6\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}-16\,a^9\,d^9\,f^2+48\,a\,b^8\,d^9\,f^2-16\,b^9\,c\,d^8\,f^2+128\,a^3\,b^6\,d^9\,f^2+96\,a^5\,b^4\,d^9\,f^2-48\,a^9\,c^2\,d^7\,f^2-48\,a^9\,c^4\,d^5\,f^2-16\,a^9\,c^6\,d^3\,f^2-48\,b^9\,c^3\,d^6\,f^2-48\,b^9\,c^5\,d^4\,f^2-16\,b^9\,c^7\,d^2\,f^2+384\,a^3\,b^6\,c^2\,d^7\,f^2+384\,a^3\,b^6\,c^4\,d^5\,f^2+128\,a^3\,b^6\,c^6\,d^3\,f^2+288\,a^4\,b^5\,c^3\,d^6\,f^2+288\,a^4\,b^5\,c^5\,d^4\,f^2+96\,a^4\,b^5\,c^7\,d^2\,f^2+288\,a^5\,b^4\,c^2\,d^7\,f^2+288\,a^5\,b^4\,c^4\,d^5\,f^2+96\,a^5\,b^4\,c^6\,d^3\,f^2+384\,a^6\,b^3\,c^3\,d^6\,f^2+384\,a^6\,b^3\,c^5\,d^4\,f^2+128\,a^6\,b^3\,c^7\,d^2\,f^2+48\,a^8\,b\,c\,d^8\,f^2+144\,a\,b^8\,c^2\,d^7\,f^2+144\,a\,b^8\,c^4\,d^5\,f^2+48\,a\,b^8\,c^6\,d^3\,f^2+96\,a^4\,b^5\,c\,d^8\,f^2+128\,a^6\,b^3\,c\,d^8\,f^2+144\,a^8\,b\,c^3\,d^6\,f^2+144\,a^8\,b\,c^5\,d^4\,f^2+48\,a^8\,b\,c^7\,d^2\,f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^3\,f^2-24\,a^6\,c\,d^2\,f^2+144\,a^5\,b\,c^2\,d\,f^2-48\,a^5\,b\,d^3\,f^2-120\,a^4\,b^2\,c^3\,f^2+360\,a^4\,b^2\,c\,d^2\,f^2-480\,a^3\,b^3\,c^2\,d\,f^2+160\,a^3\,b^3\,d^3\,f^2+120\,a^2\,b^4\,c^3\,f^2-360\,a^2\,b^4\,c\,d^2\,f^2+144\,a\,b^5\,c^2\,d\,f^2-48\,a\,b^5\,d^3\,f^2-8\,b^6\,c^3\,f^2+24\,b^6\,c\,d^2\,f^2\right)}^2}{4}-\left(16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^3\,f^2-4\,b^6\,c^3\,f^2-24\,a\,b^5\,d^3\,f^2-24\,a^5\,b\,d^3\,f^2-12\,a^6\,c\,d^2\,f^2+12\,b^6\,c\,d^2\,f^2+60\,a^2\,b^4\,c^3\,f^2-60\,a^4\,b^2\,c^3\,f^2+80\,a^3\,b^3\,d^3\,f^2+72\,a\,b^5\,c^2\,d\,f^2+72\,a^5\,b\,c^2\,d\,f^2-180\,a^2\,b^4\,c\,d^2\,f^2-240\,a^3\,b^3\,c^2\,d\,f^2+180\,a^4\,b^2\,c\,d^2\,f^2}{16\,\left(c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4\right)}}\,2{}\mathrm{i}","Not used",1,"(2*b^3*(c + d*tan(e + f*x))^(1/2))/(d^2*f) - atan((((-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 32*b^3*d^12*f^4 + 96*a^2*b*d^12*f^4 + 64*a^3*c*d^11*f^4 + 256*a^3*c^3*d^9*f^4 + 384*a^3*c^5*d^7*f^4 + 256*a^3*c^7*d^5*f^4 + 64*a^3*c^9*d^3*f^4 - 96*b^3*c^2*d^10*f^4 - 64*b^3*c^4*d^8*f^4 + 64*b^3*c^6*d^6*f^4 + 96*b^3*c^8*d^4*f^4 + 32*b^3*c^10*d^2*f^4 - 192*a*b^2*c*d^11*f^4 - 768*a*b^2*c^3*d^9*f^4 - 1152*a*b^2*c^5*d^7*f^4 - 768*a*b^2*c^7*d^5*f^4 - 192*a*b^2*c^9*d^3*f^4 + 288*a^2*b*c^2*d^10*f^4 + 192*a^2*b*c^4*d^8*f^4 - 192*a^2*b*c^6*d^6*f^4 - 288*a^2*b*c^8*d^4*f^4 - 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i + ((-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(32*b^3*d^12*f^4 + (c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 96*a^2*b*d^12*f^4 - 64*a^3*c*d^11*f^4 - 256*a^3*c^3*d^9*f^4 - 384*a^3*c^5*d^7*f^4 - 256*a^3*c^7*d^5*f^4 - 64*a^3*c^9*d^3*f^4 + 96*b^3*c^2*d^10*f^4 + 64*b^3*c^4*d^8*f^4 - 64*b^3*c^6*d^6*f^4 - 96*b^3*c^8*d^4*f^4 - 32*b^3*c^10*d^2*f^4 + 192*a*b^2*c*d^11*f^4 + 768*a*b^2*c^3*d^9*f^4 + 1152*a*b^2*c^5*d^7*f^4 + 768*a*b^2*c^7*d^5*f^4 + 192*a*b^2*c^9*d^3*f^4 - 288*a^2*b*c^2*d^10*f^4 - 192*a^2*b*c^4*d^8*f^4 + 192*a^2*b*c^6*d^6*f^4 + 288*a^2*b*c^8*d^4*f^4 + 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i)/(((-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 32*b^3*d^12*f^4 + 96*a^2*b*d^12*f^4 + 64*a^3*c*d^11*f^4 + 256*a^3*c^3*d^9*f^4 + 384*a^3*c^5*d^7*f^4 + 256*a^3*c^7*d^5*f^4 + 64*a^3*c^9*d^3*f^4 - 96*b^3*c^2*d^10*f^4 - 64*b^3*c^4*d^8*f^4 + 64*b^3*c^6*d^6*f^4 + 96*b^3*c^8*d^4*f^4 + 32*b^3*c^10*d^2*f^4 - 192*a*b^2*c*d^11*f^4 - 768*a*b^2*c^3*d^9*f^4 - 1152*a*b^2*c^5*d^7*f^4 - 768*a*b^2*c^7*d^5*f^4 - 192*a*b^2*c^9*d^3*f^4 + 288*a^2*b*c^2*d^10*f^4 + 192*a^2*b*c^4*d^8*f^4 - 192*a^2*b*c^6*d^6*f^4 - 288*a^2*b*c^8*d^4*f^4 - 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - ((-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(32*b^3*d^12*f^4 + (c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 96*a^2*b*d^12*f^4 - 64*a^3*c*d^11*f^4 - 256*a^3*c^3*d^9*f^4 - 384*a^3*c^5*d^7*f^4 - 256*a^3*c^7*d^5*f^4 - 64*a^3*c^9*d^3*f^4 + 96*b^3*c^2*d^10*f^4 + 64*b^3*c^4*d^8*f^4 - 64*b^3*c^6*d^6*f^4 - 96*b^3*c^8*d^4*f^4 - 32*b^3*c^10*d^2*f^4 + 192*a*b^2*c*d^11*f^4 + 768*a*b^2*c^3*d^9*f^4 + 1152*a*b^2*c^5*d^7*f^4 + 768*a*b^2*c^7*d^5*f^4 + 192*a*b^2*c^9*d^3*f^4 - 288*a^2*b*c^2*d^10*f^4 - 192*a^2*b*c^4*d^8*f^4 + 192*a^2*b*c^6*d^6*f^4 + 288*a^2*b*c^8*d^4*f^4 + 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - 16*a^9*d^9*f^2 + 48*a*b^8*d^9*f^2 - 16*b^9*c*d^8*f^2 + 128*a^3*b^6*d^9*f^2 + 96*a^5*b^4*d^9*f^2 - 48*a^9*c^2*d^7*f^2 - 48*a^9*c^4*d^5*f^2 - 16*a^9*c^6*d^3*f^2 - 48*b^9*c^3*d^6*f^2 - 48*b^9*c^5*d^4*f^2 - 16*b^9*c^7*d^2*f^2 + 384*a^3*b^6*c^2*d^7*f^2 + 384*a^3*b^6*c^4*d^5*f^2 + 128*a^3*b^6*c^6*d^3*f^2 + 288*a^4*b^5*c^3*d^6*f^2 + 288*a^4*b^5*c^5*d^4*f^2 + 96*a^4*b^5*c^7*d^2*f^2 + 288*a^5*b^4*c^2*d^7*f^2 + 288*a^5*b^4*c^4*d^5*f^2 + 96*a^5*b^4*c^6*d^3*f^2 + 384*a^6*b^3*c^3*d^6*f^2 + 384*a^6*b^3*c^5*d^4*f^2 + 128*a^6*b^3*c^7*d^2*f^2 + 48*a^8*b*c*d^8*f^2 + 144*a*b^8*c^2*d^7*f^2 + 144*a*b^8*c^4*d^5*f^2 + 48*a*b^8*c^6*d^3*f^2 + 96*a^4*b^5*c*d^8*f^2 + 128*a^6*b^3*c*d^8*f^2 + 144*a^8*b*c^3*d^6*f^2 + 144*a^8*b*c^5*d^4*f^2 + 48*a^8*b*c^7*d^2*f^2))*(-(((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^3*f^2 - 4*b^6*c^3*f^2 - 24*a*b^5*d^3*f^2 - 24*a^5*b*d^3*f^2 - 12*a^6*c*d^2*f^2 + 12*b^6*c*d^2*f^2 + 60*a^2*b^4*c^3*f^2 - 60*a^4*b^2*c^3*f^2 + 80*a^3*b^3*d^3*f^2 + 72*a*b^5*c^2*d*f^2 + 72*a^5*b*c^2*d*f^2 - 180*a^2*b^4*c*d^2*f^2 - 240*a^3*b^3*c^2*d*f^2 + 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*2i - atan(((((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 32*b^3*d^12*f^4 + 96*a^2*b*d^12*f^4 + 64*a^3*c*d^11*f^4 + 256*a^3*c^3*d^9*f^4 + 384*a^3*c^5*d^7*f^4 + 256*a^3*c^7*d^5*f^4 + 64*a^3*c^9*d^3*f^4 - 96*b^3*c^2*d^10*f^4 - 64*b^3*c^4*d^8*f^4 + 64*b^3*c^6*d^6*f^4 + 96*b^3*c^8*d^4*f^4 + 32*b^3*c^10*d^2*f^4 - 192*a*b^2*c*d^11*f^4 - 768*a*b^2*c^3*d^9*f^4 - 1152*a*b^2*c^5*d^7*f^4 - 768*a*b^2*c^7*d^5*f^4 - 192*a*b^2*c^9*d^3*f^4 + 288*a^2*b*c^2*d^10*f^4 + 192*a^2*b*c^4*d^8*f^4 - 192*a^2*b*c^6*d^6*f^4 - 288*a^2*b*c^8*d^4*f^4 - 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i + (((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(32*b^3*d^12*f^4 + (c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 96*a^2*b*d^12*f^4 - 64*a^3*c*d^11*f^4 - 256*a^3*c^3*d^9*f^4 - 384*a^3*c^5*d^7*f^4 - 256*a^3*c^7*d^5*f^4 - 64*a^3*c^9*d^3*f^4 + 96*b^3*c^2*d^10*f^4 + 64*b^3*c^4*d^8*f^4 - 64*b^3*c^6*d^6*f^4 - 96*b^3*c^8*d^4*f^4 - 32*b^3*c^10*d^2*f^4 + 192*a*b^2*c*d^11*f^4 + 768*a*b^2*c^3*d^9*f^4 + 1152*a*b^2*c^5*d^7*f^4 + 768*a*b^2*c^7*d^5*f^4 + 192*a*b^2*c^9*d^3*f^4 - 288*a^2*b*c^2*d^10*f^4 - 192*a^2*b*c^4*d^8*f^4 + 192*a^2*b*c^6*d^6*f^4 + 288*a^2*b*c^8*d^4*f^4 + 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*1i)/((((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 32*b^3*d^12*f^4 + 96*a^2*b*d^12*f^4 + 64*a^3*c*d^11*f^4 + 256*a^3*c^3*d^9*f^4 + 384*a^3*c^5*d^7*f^4 + 256*a^3*c^7*d^5*f^4 + 64*a^3*c^9*d^3*f^4 - 96*b^3*c^2*d^10*f^4 - 64*b^3*c^4*d^8*f^4 + 64*b^3*c^6*d^6*f^4 + 96*b^3*c^8*d^4*f^4 + 32*b^3*c^10*d^2*f^4 - 192*a*b^2*c*d^11*f^4 - 768*a*b^2*c^3*d^9*f^4 - 1152*a*b^2*c^5*d^7*f^4 - 768*a*b^2*c^7*d^5*f^4 - 192*a*b^2*c^9*d^3*f^4 + 288*a^2*b*c^2*d^10*f^4 + 192*a^2*b*c^4*d^8*f^4 - 192*a^2*b*c^6*d^6*f^4 - 288*a^2*b*c^8*d^4*f^4 - 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - (((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(32*b^3*d^12*f^4 + (c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 96*a^2*b*d^12*f^4 - 64*a^3*c*d^11*f^4 - 256*a^3*c^3*d^9*f^4 - 384*a^3*c^5*d^7*f^4 - 256*a^3*c^7*d^5*f^4 - 64*a^3*c^9*d^3*f^4 + 96*b^3*c^2*d^10*f^4 + 64*b^3*c^4*d^8*f^4 - 64*b^3*c^6*d^6*f^4 - 96*b^3*c^8*d^4*f^4 - 32*b^3*c^10*d^2*f^4 + 192*a*b^2*c*d^11*f^4 + 768*a*b^2*c^3*d^9*f^4 + 1152*a*b^2*c^5*d^7*f^4 + 768*a*b^2*c^7*d^5*f^4 + 192*a*b^2*c^9*d^3*f^4 - 288*a^2*b*c^2*d^10*f^4 - 192*a^2*b*c^4*d^8*f^4 + 192*a^2*b*c^6*d^6*f^4 + 288*a^2*b*c^8*d^4*f^4 + 96*a^2*b*c^10*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*b^6*d^10*f^3 - 16*a^6*d^10*f^3 - 240*a^2*b^4*d^10*f^3 + 240*a^4*b^2*d^10*f^3 - 32*a^6*c^2*d^8*f^3 + 32*a^6*c^6*d^4*f^3 + 16*a^6*c^8*d^2*f^3 + 32*b^6*c^2*d^8*f^3 - 32*b^6*c^6*d^4*f^3 - 16*b^6*c^8*d^2*f^3 - 480*a^2*b^4*c^2*d^8*f^3 + 480*a^2*b^4*c^6*d^4*f^3 + 240*a^2*b^4*c^8*d^2*f^3 - 1920*a^3*b^3*c^3*d^7*f^3 - 1920*a^3*b^3*c^5*d^5*f^3 - 640*a^3*b^3*c^7*d^3*f^3 + 480*a^4*b^2*c^2*d^8*f^3 - 480*a^4*b^2*c^6*d^4*f^3 - 240*a^4*b^2*c^8*d^2*f^3 + 192*a*b^5*c*d^9*f^3 + 192*a^5*b*c*d^9*f^3 + 576*a*b^5*c^3*d^7*f^3 + 576*a*b^5*c^5*d^5*f^3 + 192*a*b^5*c^7*d^3*f^3 - 640*a^3*b^3*c*d^9*f^3 + 576*a^5*b*c^3*d^7*f^3 + 576*a^5*b*c^5*d^5*f^3 + 192*a^5*b*c^7*d^3*f^3))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2) - 16*a^9*d^9*f^2 + 48*a*b^8*d^9*f^2 - 16*b^9*c*d^8*f^2 + 128*a^3*b^6*d^9*f^2 + 96*a^5*b^4*d^9*f^2 - 48*a^9*c^2*d^7*f^2 - 48*a^9*c^4*d^5*f^2 - 16*a^9*c^6*d^3*f^2 - 48*b^9*c^3*d^6*f^2 - 48*b^9*c^5*d^4*f^2 - 16*b^9*c^7*d^2*f^2 + 384*a^3*b^6*c^2*d^7*f^2 + 384*a^3*b^6*c^4*d^5*f^2 + 128*a^3*b^6*c^6*d^3*f^2 + 288*a^4*b^5*c^3*d^6*f^2 + 288*a^4*b^5*c^5*d^4*f^2 + 96*a^4*b^5*c^7*d^2*f^2 + 288*a^5*b^4*c^2*d^7*f^2 + 288*a^5*b^4*c^4*d^5*f^2 + 96*a^5*b^4*c^6*d^3*f^2 + 384*a^6*b^3*c^3*d^6*f^2 + 384*a^6*b^3*c^5*d^4*f^2 + 128*a^6*b^3*c^7*d^2*f^2 + 48*a^8*b*c*d^8*f^2 + 144*a*b^8*c^2*d^7*f^2 + 144*a*b^8*c^4*d^5*f^2 + 48*a*b^8*c^6*d^3*f^2 + 96*a^4*b^5*c*d^8*f^2 + 128*a^6*b^3*c*d^8*f^2 + 144*a^8*b*c^3*d^6*f^2 + 144*a^8*b*c^5*d^4*f^2 + 48*a^8*b*c^7*d^2*f^2))*((((8*a^6*c^3*f^2 - 8*b^6*c^3*f^2 - 48*a*b^5*d^3*f^2 - 48*a^5*b*d^3*f^2 - 24*a^6*c*d^2*f^2 + 24*b^6*c*d^2*f^2 + 120*a^2*b^4*c^3*f^2 - 120*a^4*b^2*c^3*f^2 + 160*a^3*b^3*d^3*f^2 + 144*a*b^5*c^2*d*f^2 + 144*a^5*b*c^2*d*f^2 - 360*a^2*b^4*c*d^2*f^2 - 480*a^3*b^3*c^2*d*f^2 + 360*a^4*b^2*c*d^2*f^2)^2/4 - (16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^3*f^2 + 4*b^6*c^3*f^2 + 24*a*b^5*d^3*f^2 + 24*a^5*b*d^3*f^2 + 12*a^6*c*d^2*f^2 - 12*b^6*c*d^2*f^2 - 60*a^2*b^4*c^3*f^2 + 60*a^4*b^2*c^3*f^2 - 80*a^3*b^3*d^3*f^2 - 72*a*b^5*c^2*d*f^2 - 72*a^5*b*c^2*d*f^2 + 180*a^2*b^4*c*d^2*f^2 + 240*a^3*b^3*c^2*d*f^2 - 180*a^4*b^2*c*d^2*f^2)/(16*(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4)))^(1/2)*2i - (2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(d^2*f*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/2))","B"
1255,1,7613,150,12.223907,"\text{Not used}","int((a + b*tan(e + f*x))^2/(c + d*tan(e + f*x))^(3/2),x)","-\frac{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{d\,f\,\left(c^2+d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}+\mathrm{atan}\left(\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)-\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-64\,a^2\,c\,d^{11}\,f^4+64\,b^2\,c\,d^{11}\,f^4-256\,a^2\,c^3\,d^9\,f^4-384\,a^2\,c^5\,d^7\,f^4-256\,a^2\,c^7\,d^5\,f^4-64\,a^2\,c^9\,d^3\,f^4+256\,b^2\,c^3\,d^9\,f^4+384\,b^2\,c^5\,d^7\,f^4+256\,b^2\,c^7\,d^5\,f^4+64\,b^2\,c^9\,d^3\,f^4-64\,a\,b\,d^{12}\,f^4-192\,a\,b\,c^2\,d^{10}\,f^4-128\,a\,b\,c^4\,d^8\,f^4+128\,a\,b\,c^6\,d^6\,f^4+192\,a\,b\,c^8\,d^4\,f^4+64\,a\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,1{}\mathrm{i}+\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)-\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^2\,c\,d^{11}\,f^4-64\,b^2\,c\,d^{11}\,f^4+256\,a^2\,c^3\,d^9\,f^4+384\,a^2\,c^5\,d^7\,f^4+256\,a^2\,c^7\,d^5\,f^4+64\,a^2\,c^9\,d^3\,f^4-256\,b^2\,c^3\,d^9\,f^4-384\,b^2\,c^5\,d^7\,f^4-256\,b^2\,c^7\,d^5\,f^4-64\,b^2\,c^9\,d^3\,f^4+64\,a\,b\,d^{12}\,f^4+192\,a\,b\,c^2\,d^{10}\,f^4+128\,a\,b\,c^4\,d^8\,f^4-128\,a\,b\,c^6\,d^6\,f^4-192\,a\,b\,c^8\,d^4\,f^4-64\,a\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,1{}\mathrm{i}}{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)-\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-64\,a^2\,c\,d^{11}\,f^4+64\,b^2\,c\,d^{11}\,f^4-256\,a^2\,c^3\,d^9\,f^4-384\,a^2\,c^5\,d^7\,f^4-256\,a^2\,c^7\,d^5\,f^4-64\,a^2\,c^9\,d^3\,f^4+256\,b^2\,c^3\,d^9\,f^4+384\,b^2\,c^5\,d^7\,f^4+256\,b^2\,c^7\,d^5\,f^4+64\,b^2\,c^9\,d^3\,f^4-64\,a\,b\,d^{12}\,f^4-192\,a\,b\,c^2\,d^{10}\,f^4-128\,a\,b\,c^4\,d^8\,f^4+128\,a\,b\,c^6\,d^6\,f^4+192\,a\,b\,c^8\,d^4\,f^4+64\,a\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}-\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)-\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^2\,c\,d^{11}\,f^4-64\,b^2\,c\,d^{11}\,f^4+256\,a^2\,c^3\,d^9\,f^4+384\,a^2\,c^5\,d^7\,f^4+256\,a^2\,c^7\,d^5\,f^4+64\,a^2\,c^9\,d^3\,f^4-256\,b^2\,c^3\,d^9\,f^4-384\,b^2\,c^5\,d^7\,f^4-256\,b^2\,c^7\,d^5\,f^4-64\,b^2\,c^9\,d^3\,f^4+64\,a\,b\,d^{12}\,f^4+192\,a\,b\,c^2\,d^{10}\,f^4+128\,a\,b\,c^4\,d^8\,f^4-128\,a\,b\,c^6\,d^6\,f^4-192\,a\,b\,c^8\,d^4\,f^4-64\,a\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}-16\,a^6\,d^9\,f^2+16\,b^6\,d^9\,f^2+16\,a^2\,b^4\,d^9\,f^2-16\,a^4\,b^2\,d^9\,f^2-48\,a^6\,c^2\,d^7\,f^2-48\,a^6\,c^4\,d^5\,f^2-16\,a^6\,c^6\,d^3\,f^2+48\,b^6\,c^2\,d^7\,f^2+48\,b^6\,c^4\,d^5\,f^2+16\,b^6\,c^6\,d^3\,f^2+48\,a^2\,b^4\,c^2\,d^7\,f^2+48\,a^2\,b^4\,c^4\,d^5\,f^2+16\,a^2\,b^4\,c^6\,d^3\,f^2+192\,a^3\,b^3\,c^3\,d^6\,f^2+192\,a^3\,b^3\,c^5\,d^4\,f^2+64\,a^3\,b^3\,c^7\,d^2\,f^2-48\,a^4\,b^2\,c^2\,d^7\,f^2-48\,a^4\,b^2\,c^4\,d^5\,f^2-16\,a^4\,b^2\,c^6\,d^3\,f^2+32\,a\,b^5\,c\,d^8\,f^2+32\,a^5\,b\,c\,d^8\,f^2+96\,a\,b^5\,c^3\,d^6\,f^2+96\,a\,b^5\,c^5\,d^4\,f^2+32\,a\,b^5\,c^7\,d^2\,f^2+64\,a^3\,b^3\,c\,d^8\,f^2+96\,a^5\,b\,c^3\,d^6\,f^2+96\,a^5\,b\,c^5\,d^4\,f^2+32\,a^5\,b\,c^7\,d^2\,f^2}\right)\,\sqrt{-\frac{a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}}{4\,\left(c^3\,f^2\,1{}\mathrm{i}-3\,c^2\,d\,f^2-c\,d^2\,f^2\,3{}\mathrm{i}+d^3\,f^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(-\frac{\left(\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-64\,a^2\,c\,d^{11}\,f^4+64\,b^2\,c\,d^{11}\,f^4-256\,a^2\,c^3\,d^9\,f^4-384\,a^2\,c^5\,d^7\,f^4-256\,a^2\,c^7\,d^5\,f^4-64\,a^2\,c^9\,d^3\,f^4+256\,b^2\,c^3\,d^9\,f^4+384\,b^2\,c^5\,d^7\,f^4+256\,b^2\,c^7\,d^5\,f^4+64\,b^2\,c^9\,d^3\,f^4-64\,a\,b\,d^{12}\,f^4-192\,a\,b\,c^2\,d^{10}\,f^4-128\,a\,b\,c^4\,d^8\,f^4+128\,a\,b\,c^6\,d^6\,f^4+192\,a\,b\,c^8\,d^4\,f^4+64\,a\,b\,c^{10}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^2\,c\,d^{11}\,f^4-64\,b^2\,c\,d^{11}\,f^4+256\,a^2\,c^3\,d^9\,f^4+384\,a^2\,c^5\,d^7\,f^4+256\,a^2\,c^7\,d^5\,f^4+64\,a^2\,c^9\,d^3\,f^4-256\,b^2\,c^3\,d^9\,f^4-384\,b^2\,c^5\,d^7\,f^4-256\,b^2\,c^7\,d^5\,f^4-64\,b^2\,c^9\,d^3\,f^4+64\,a\,b\,d^{12}\,f^4+192\,a\,b\,c^2\,d^{10}\,f^4+128\,a\,b\,c^4\,d^8\,f^4-128\,a\,b\,c^6\,d^6\,f^4-192\,a\,b\,c^8\,d^4\,f^4-64\,a\,b\,c^{10}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{16\,b^6\,d^9\,f^2+\left(\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+64\,a^2\,c\,d^{11}\,f^4-64\,b^2\,c\,d^{11}\,f^4+256\,a^2\,c^3\,d^9\,f^4+384\,a^2\,c^5\,d^7\,f^4+256\,a^2\,c^7\,d^5\,f^4+64\,a^2\,c^9\,d^3\,f^4-256\,b^2\,c^3\,d^9\,f^4-384\,b^2\,c^5\,d^7\,f^4-256\,b^2\,c^7\,d^5\,f^4-64\,b^2\,c^9\,d^3\,f^4+64\,a\,b\,d^{12}\,f^4+192\,a\,b\,c^2\,d^{10}\,f^4+128\,a\,b\,c^4\,d^8\,f^4-128\,a\,b\,c^6\,d^6\,f^4-192\,a\,b\,c^8\,d^4\,f^4-64\,a\,b\,c^{10}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}-16\,a^6\,d^9\,f^2-\left(\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-64\,a^2\,c\,d^{11}\,f^4+64\,b^2\,c\,d^{11}\,f^4-256\,a^2\,c^3\,d^9\,f^4-384\,a^2\,c^5\,d^7\,f^4-256\,a^2\,c^7\,d^5\,f^4-64\,a^2\,c^9\,d^3\,f^4+256\,b^2\,c^3\,d^9\,f^4+384\,b^2\,c^5\,d^7\,f^4+256\,b^2\,c^7\,d^5\,f^4+64\,b^2\,c^9\,d^3\,f^4-64\,a\,b\,d^{12}\,f^4-192\,a\,b\,c^2\,d^{10}\,f^4-128\,a\,b\,c^4\,d^8\,f^4+128\,a\,b\,c^6\,d^6\,f^4+192\,a\,b\,c^8\,d^4\,f^4+64\,a\,b\,c^{10}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^8\,d^2\,f^3-32\,a^4\,c^6\,d^4\,f^3+32\,a^4\,c^2\,d^8\,f^3+16\,a^4\,d^{10}\,f^3-128\,a^3\,b\,c^7\,d^3\,f^3-384\,a^3\,b\,c^5\,d^5\,f^3-384\,a^3\,b\,c^3\,d^7\,f^3-128\,a^3\,b\,c\,d^9\,f^3+96\,a^2\,b^2\,c^8\,d^2\,f^3+192\,a^2\,b^2\,c^6\,d^4\,f^3-192\,a^2\,b^2\,c^2\,d^8\,f^3-96\,a^2\,b^2\,d^{10}\,f^3+128\,a\,b^3\,c^7\,d^3\,f^3+384\,a\,b^3\,c^5\,d^5\,f^3+384\,a\,b^3\,c^3\,d^7\,f^3+128\,a\,b^3\,c\,d^9\,f^3-16\,b^4\,c^8\,d^2\,f^3-32\,b^4\,c^6\,d^4\,f^3+32\,b^4\,c^2\,d^8\,f^3+16\,b^4\,d^{10}\,f^3\right)\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}+16\,a^2\,b^4\,d^9\,f^2-16\,a^4\,b^2\,d^9\,f^2-48\,a^6\,c^2\,d^7\,f^2-48\,a^6\,c^4\,d^5\,f^2-16\,a^6\,c^6\,d^3\,f^2+48\,b^6\,c^2\,d^7\,f^2+48\,b^6\,c^4\,d^5\,f^2+16\,b^6\,c^6\,d^3\,f^2+48\,a^2\,b^4\,c^2\,d^7\,f^2+48\,a^2\,b^4\,c^4\,d^5\,f^2+16\,a^2\,b^4\,c^6\,d^3\,f^2+192\,a^3\,b^3\,c^3\,d^6\,f^2+192\,a^3\,b^3\,c^5\,d^4\,f^2+64\,a^3\,b^3\,c^7\,d^2\,f^2-48\,a^4\,b^2\,c^2\,d^7\,f^2-48\,a^4\,b^2\,c^4\,d^5\,f^2-16\,a^4\,b^2\,c^6\,d^3\,f^2+32\,a\,b^5\,c\,d^8\,f^2+32\,a^5\,b\,c\,d^8\,f^2+96\,a\,b^5\,c^3\,d^6\,f^2+96\,a\,b^5\,c^5\,d^4\,f^2+32\,a\,b^5\,c^7\,d^2\,f^2+64\,a^3\,b^3\,c\,d^8\,f^2+96\,a^5\,b\,c^3\,d^6\,f^2+96\,a^5\,b\,c^5\,d^4\,f^2+32\,a^5\,b\,c^7\,d^2\,f^2}\right)\,\sqrt{-\frac{a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4}{4\,\left(c^3\,f^2-c^2\,d\,f^2\,3{}\mathrm{i}-3\,c\,d^2\,f^2+d^3\,f^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}","Not used",1,"atan((((c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3) - (-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 64*a^2*c*d^11*f^4 + 64*b^2*c*d^11*f^4 - 256*a^2*c^3*d^9*f^4 - 384*a^2*c^5*d^7*f^4 - 256*a^2*c^7*d^5*f^4 - 64*a^2*c^9*d^3*f^4 + 256*b^2*c^3*d^9*f^4 + 384*b^2*c^5*d^7*f^4 + 256*b^2*c^7*d^5*f^4 + 64*b^2*c^9*d^3*f^4 - 64*a*b*d^12*f^4 - 192*a*b*c^2*d^10*f^4 - 128*a*b*c^4*d^8*f^4 + 128*a*b*c^6*d^6*f^4 + 192*a*b*c^8*d^4*f^4 + 64*a*b*c^10*d^2*f^4))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*1i + ((c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3) - (-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^2*c*d^11*f^4 - 64*b^2*c*d^11*f^4 + 256*a^2*c^3*d^9*f^4 + 384*a^2*c^5*d^7*f^4 + 256*a^2*c^7*d^5*f^4 + 64*a^2*c^9*d^3*f^4 - 256*b^2*c^3*d^9*f^4 - 384*b^2*c^5*d^7*f^4 - 256*b^2*c^7*d^5*f^4 - 64*b^2*c^9*d^3*f^4 + 64*a*b*d^12*f^4 + 192*a*b*c^2*d^10*f^4 + 128*a*b*c^4*d^8*f^4 - 128*a*b*c^6*d^6*f^4 - 192*a*b*c^8*d^4*f^4 - 64*a*b*c^10*d^2*f^4))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*1i)/(((c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3) - (-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 64*a^2*c*d^11*f^4 + 64*b^2*c*d^11*f^4 - 256*a^2*c^3*d^9*f^4 - 384*a^2*c^5*d^7*f^4 - 256*a^2*c^7*d^5*f^4 - 64*a^2*c^9*d^3*f^4 + 256*b^2*c^3*d^9*f^4 + 384*b^2*c^5*d^7*f^4 + 256*b^2*c^7*d^5*f^4 + 64*b^2*c^9*d^3*f^4 - 64*a*b*d^12*f^4 - 192*a*b*c^2*d^10*f^4 - 128*a*b*c^4*d^8*f^4 + 128*a*b*c^6*d^6*f^4 + 192*a*b*c^8*d^4*f^4 + 64*a*b*c^10*d^2*f^4))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3) - (-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^2*c*d^11*f^4 - 64*b^2*c*d^11*f^4 + 256*a^2*c^3*d^9*f^4 + 384*a^2*c^5*d^7*f^4 + 256*a^2*c^7*d^5*f^4 + 64*a^2*c^9*d^3*f^4 - 256*b^2*c^3*d^9*f^4 - 384*b^2*c^5*d^7*f^4 - 256*b^2*c^7*d^5*f^4 - 64*b^2*c^9*d^3*f^4 + 64*a*b*d^12*f^4 + 192*a*b*c^2*d^10*f^4 + 128*a*b*c^4*d^8*f^4 - 128*a*b*c^6*d^6*f^4 - 192*a*b*c^8*d^4*f^4 - 64*a*b*c^10*d^2*f^4))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2) - 16*a^6*d^9*f^2 + 16*b^6*d^9*f^2 + 16*a^2*b^4*d^9*f^2 - 16*a^4*b^2*d^9*f^2 - 48*a^6*c^2*d^7*f^2 - 48*a^6*c^4*d^5*f^2 - 16*a^6*c^6*d^3*f^2 + 48*b^6*c^2*d^7*f^2 + 48*b^6*c^4*d^5*f^2 + 16*b^6*c^6*d^3*f^2 + 48*a^2*b^4*c^2*d^7*f^2 + 48*a^2*b^4*c^4*d^5*f^2 + 16*a^2*b^4*c^6*d^3*f^2 + 192*a^3*b^3*c^3*d^6*f^2 + 192*a^3*b^3*c^5*d^4*f^2 + 64*a^3*b^3*c^7*d^2*f^2 - 48*a^4*b^2*c^2*d^7*f^2 - 48*a^4*b^2*c^4*d^5*f^2 - 16*a^4*b^2*c^6*d^3*f^2 + 32*a*b^5*c*d^8*f^2 + 32*a^5*b*c*d^8*f^2 + 96*a*b^5*c^3*d^6*f^2 + 96*a*b^5*c^5*d^4*f^2 + 32*a*b^5*c^7*d^2*f^2 + 64*a^3*b^3*c*d^8*f^2 + 96*a^5*b*c^3*d^6*f^2 + 96*a^5*b*c^5*d^4*f^2 + 32*a^5*b*c^7*d^2*f^2))*(-(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)/(4*(c^3*f^2*1i + d^3*f^2 - c*d^2*f^2*3i - 3*c^2*d*f^2)))^(1/2)*2i + atan(-(((-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 64*a^2*c*d^11*f^4 + 64*b^2*c*d^11*f^4 - 256*a^2*c^3*d^9*f^4 - 384*a^2*c^5*d^7*f^4 - 256*a^2*c^7*d^5*f^4 - 64*a^2*c^9*d^3*f^4 + 256*b^2*c^3*d^9*f^4 + 384*b^2*c^5*d^7*f^4 + 256*b^2*c^7*d^5*f^4 + 64*b^2*c^9*d^3*f^4 - 64*a*b*d^12*f^4 - 192*a*b*c^2*d^10*f^4 - 128*a*b*c^4*d^8*f^4 + 128*a*b*c^6*d^6*f^4 + 192*a*b*c^8*d^4*f^4 + 64*a*b*c^10*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*1i + ((-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^2*c*d^11*f^4 - 64*b^2*c*d^11*f^4 + 256*a^2*c^3*d^9*f^4 + 384*a^2*c^5*d^7*f^4 + 256*a^2*c^7*d^5*f^4 + 64*a^2*c^9*d^3*f^4 - 256*b^2*c^3*d^9*f^4 - 384*b^2*c^5*d^7*f^4 - 256*b^2*c^7*d^5*f^4 - 64*b^2*c^9*d^3*f^4 + 64*a*b*d^12*f^4 + 192*a*b*c^2*d^10*f^4 + 128*a*b*c^4*d^8*f^4 - 128*a*b*c^6*d^6*f^4 - 192*a*b*c^8*d^4*f^4 - 64*a*b*c^10*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*1i)/(((-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 64*a^2*c*d^11*f^4 - 64*b^2*c*d^11*f^4 + 256*a^2*c^3*d^9*f^4 + 384*a^2*c^5*d^7*f^4 + 256*a^2*c^7*d^5*f^4 + 64*a^2*c^9*d^3*f^4 - 256*b^2*c^3*d^9*f^4 - 384*b^2*c^5*d^7*f^4 - 256*b^2*c^7*d^5*f^4 - 64*b^2*c^9*d^3*f^4 + 64*a*b*d^12*f^4 + 192*a*b*c^2*d^10*f^4 + 128*a*b*c^4*d^8*f^4 - 128*a*b*c^6*d^6*f^4 - 192*a*b*c^8*d^4*f^4 - 64*a*b*c^10*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2) - ((-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 64*a^2*c*d^11*f^4 + 64*b^2*c*d^11*f^4 - 256*a^2*c^3*d^9*f^4 - 384*a^2*c^5*d^7*f^4 - 256*a^2*c^7*d^5*f^4 - 64*a^2*c^9*d^3*f^4 + 256*b^2*c^3*d^9*f^4 + 384*b^2*c^5*d^7*f^4 + 256*b^2*c^7*d^5*f^4 + 64*b^2*c^9*d^3*f^4 - 64*a*b*d^12*f^4 - 192*a*b*c^2*d^10*f^4 - 128*a*b*c^4*d^8*f^4 + 128*a*b*c^6*d^6*f^4 + 192*a*b*c^8*d^4*f^4 + 64*a*b*c^10*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(16*a^4*d^10*f^3 + 16*b^4*d^10*f^3 - 96*a^2*b^2*d^10*f^3 + 32*a^4*c^2*d^8*f^3 - 32*a^4*c^6*d^4*f^3 - 16*a^4*c^8*d^2*f^3 + 32*b^4*c^2*d^8*f^3 - 32*b^4*c^6*d^4*f^3 - 16*b^4*c^8*d^2*f^3 - 192*a^2*b^2*c^2*d^8*f^3 + 192*a^2*b^2*c^6*d^4*f^3 + 96*a^2*b^2*c^8*d^2*f^3 + 128*a*b^3*c*d^9*f^3 - 128*a^3*b*c*d^9*f^3 + 384*a*b^3*c^3*d^7*f^3 + 384*a*b^3*c^5*d^5*f^3 + 128*a*b^3*c^7*d^3*f^3 - 384*a^3*b*c^3*d^7*f^3 - 384*a^3*b*c^5*d^5*f^3 - 128*a^3*b*c^7*d^3*f^3))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2) - 16*a^6*d^9*f^2 + 16*b^6*d^9*f^2 + 16*a^2*b^4*d^9*f^2 - 16*a^4*b^2*d^9*f^2 - 48*a^6*c^2*d^7*f^2 - 48*a^6*c^4*d^5*f^2 - 16*a^6*c^6*d^3*f^2 + 48*b^6*c^2*d^7*f^2 + 48*b^6*c^4*d^5*f^2 + 16*b^6*c^6*d^3*f^2 + 48*a^2*b^4*c^2*d^7*f^2 + 48*a^2*b^4*c^4*d^5*f^2 + 16*a^2*b^4*c^6*d^3*f^2 + 192*a^3*b^3*c^3*d^6*f^2 + 192*a^3*b^3*c^5*d^4*f^2 + 64*a^3*b^3*c^7*d^2*f^2 - 48*a^4*b^2*c^2*d^7*f^2 - 48*a^4*b^2*c^4*d^5*f^2 - 16*a^4*b^2*c^6*d^3*f^2 + 32*a*b^5*c*d^8*f^2 + 32*a^5*b*c*d^8*f^2 + 96*a*b^5*c^3*d^6*f^2 + 96*a*b^5*c^5*d^4*f^2 + 32*a*b^5*c^7*d^2*f^2 + 64*a^3*b^3*c*d^8*f^2 + 96*a^5*b*c^3*d^6*f^2 + 96*a^5*b*c^5*d^4*f^2 + 32*a^5*b*c^7*d^2*f^2))*(-(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)/(4*(c^3*f^2 + d^3*f^2*1i - 3*c*d^2*f^2 - c^2*d*f^2*3i)))^(1/2)*2i - (2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(d*f*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/2))","B"
1256,1,5737,138,11.430444,"\text{Not used}","int((a + b*tan(e + f*x))/(c + d*tan(e + f*x))^(3/2),x)","\frac{\ln\left(-\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^8\,d^2\,f^3-32\,b^2\,c^6\,d^4\,f^3+32\,b^2\,c^2\,d^8\,f^3+16\,b^2\,d^{10}\,f^3\right)+\frac{\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(32\,b\,d^{12}\,f^4+\frac{\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)}{4}+96\,b\,c^2\,d^{10}\,f^4+64\,b\,c^4\,d^8\,f^4-64\,b\,c^6\,d^6\,f^4-96\,b\,c^8\,d^4\,f^4-32\,b\,c^{10}\,d^2\,f^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}-8\,b^3\,c\,d^8\,f^2-24\,b^3\,c^3\,d^6\,f^2-24\,b^3\,c^5\,d^4\,f^2-8\,b^3\,c^7\,d^2\,f^2\right)\,\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}+\frac{\ln\left(-\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^8\,d^2\,f^3-32\,b^2\,c^6\,d^4\,f^3+32\,b^2\,c^2\,d^8\,f^3+16\,b^2\,d^{10}\,f^3\right)+\frac{\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(32\,b\,d^{12}\,f^4+\frac{\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)}{4}+96\,b\,c^2\,d^{10}\,f^4+64\,b\,c^4\,d^8\,f^4-64\,b\,c^6\,d^6\,f^4-96\,b\,c^8\,d^4\,f^4-32\,b\,c^{10}\,d^2\,f^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}-8\,b^3\,c\,d^8\,f^2-24\,b^3\,c^3\,d^6\,f^2-24\,b^3\,c^5\,d^4\,f^2-8\,b^3\,c^7\,d^2\,f^2\right)\,\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}-\ln\left(\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^8\,d^2\,f^3-32\,b^2\,c^6\,d^4\,f^3+32\,b^2\,c^2\,d^8\,f^3+16\,b^2\,d^{10}\,f^3\right)+\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-32\,b\,d^{12}\,f^4-96\,b\,c^2\,d^{10}\,f^4-64\,b\,c^4\,d^8\,f^4+64\,b\,c^6\,d^6\,f^4+96\,b\,c^8\,d^4\,f^4+32\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-8\,b^3\,c\,d^8\,f^2-24\,b^3\,c^3\,d^6\,f^2-24\,b^3\,c^5\,d^4\,f^2-8\,b^3\,c^7\,d^2\,f^2\right)\,\sqrt{\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}+4\,b^2\,c^3\,f^2-12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-\ln\left(\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^8\,d^2\,f^3-32\,b^2\,c^6\,d^4\,f^3+32\,b^2\,c^2\,d^8\,f^3+16\,b^2\,d^{10}\,f^3\right)+\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)-32\,b\,d^{12}\,f^4-96\,b\,c^2\,d^{10}\,f^4-64\,b\,c^4\,d^8\,f^4+64\,b\,c^6\,d^6\,f^4+96\,b\,c^8\,d^4\,f^4+32\,b\,c^{10}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-8\,b^3\,c\,d^8\,f^2-24\,b^3\,c^3\,d^6\,f^2-24\,b^3\,c^5\,d^4\,f^2-8\,b^3\,c^7\,d^2\,f^2\right)\,\sqrt{-\frac{\sqrt{-144\,b^4\,c^4\,d^2\,f^4+96\,b^4\,c^2\,d^4\,f^4-16\,b^4\,d^6\,f^4}-4\,b^2\,c^3\,f^2+12\,b^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}+\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)-\frac{\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)}{4}+256\,a\,c^3\,d^9\,f^4+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)}{4}\right)}{4}+8\,a^3\,d^9\,f^2+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)-\frac{\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)}{4}+256\,a\,c^3\,d^9\,f^4+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)}{4}\right)}{4}+8\,a^3\,d^9\,f^2+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{c^6\,f^4+3\,c^4\,d^2\,f^4+3\,c^2\,d^4\,f^4+d^6\,f^4}}}{4}-\ln\left(8\,a^3\,d^9\,f^2-\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)+\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(256\,a\,c^3\,d^9\,f^4-\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)\right)+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}-4\,a^2\,c^3\,f^2+12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-\ln\left(8\,a^3\,d^9\,f^2-\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^8\,d^2\,f^3-32\,a^2\,c^6\,d^4\,f^3+32\,a^2\,c^2\,d^8\,f^3+16\,a^2\,d^{10}\,f^3\right)+\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\left(256\,a\,c^3\,d^9\,f^4-\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{11}\,d^2\,f^5+320\,c^9\,d^4\,f^5+640\,c^7\,d^6\,f^5+640\,c^5\,d^8\,f^5+320\,c^3\,d^{10}\,f^5+64\,c\,d^{12}\,f^5\right)+384\,a\,c^5\,d^7\,f^4+256\,a\,c^7\,d^5\,f^4+64\,a\,c^9\,d^3\,f^4+64\,a\,c\,d^{11}\,f^4\right)\right)+24\,a^3\,c^2\,d^7\,f^2+24\,a^3\,c^4\,d^5\,f^2+8\,a^3\,c^6\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,c^4\,d^2\,f^4+96\,a^4\,c^2\,d^4\,f^4-16\,a^4\,d^6\,f^4}+4\,a^2\,c^3\,f^2-12\,a^2\,c\,d^2\,f^2}{16\,c^6\,f^4+48\,c^4\,d^2\,f^4+48\,c^2\,d^4\,f^4+16\,d^6\,f^4}}-\frac{2\,a\,d}{f\,\left(c^2+d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}+\frac{2\,b\,c}{f\,\left(c^2+d^2\right)\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}","Not used",1,"(log(- (((c + d*tan(e + f*x))^(1/2)*(16*b^2*d^10*f^3 + 32*b^2*c^2*d^8*f^3 - 32*b^2*c^6*d^4*f^3 - 16*b^2*c^8*d^2*f^3) + ((((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(32*b*d^12*f^4 + ((((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5))/4 + 96*b*c^2*d^10*f^4 + 64*b*c^4*d^8*f^4 - 64*b*c^6*d^6*f^4 - 96*b*c^8*d^4*f^4 - 32*b*c^10*d^2*f^4))/4)*(((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 - 8*b^3*c*d^8*f^2 - 24*b^3*c^3*d^6*f^2 - 24*b^3*c^5*d^4*f^2 - 8*b^3*c^7*d^2*f^2)*(((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 + (log(- (((c + d*tan(e + f*x))^(1/2)*(16*b^2*d^10*f^3 + 32*b^2*c^2*d^8*f^3 - 32*b^2*c^6*d^4*f^3 - 16*b^2*c^8*d^2*f^3) + ((-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(32*b*d^12*f^4 + ((-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5))/4 + 96*b*c^2*d^10*f^4 + 64*b*c^4*d^8*f^4 - 64*b*c^6*d^6*f^4 - 96*b*c^8*d^4*f^4 - 32*b*c^10*d^2*f^4))/4)*(-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 - 8*b^3*c*d^8*f^2 - 24*b^3*c^3*d^6*f^2 - 24*b^3*c^5*d^4*f^2 - 8*b^3*c^7*d^2*f^2)*(-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 - log(((c + d*tan(e + f*x))^(1/2)*(16*b^2*d^10*f^3 + 32*b^2*c^2*d^8*f^3 - 32*b^2*c^6*d^4*f^3 - 16*b^2*c^8*d^2*f^3) + (((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*((((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 32*b*d^12*f^4 - 96*b*c^2*d^10*f^4 - 64*b*c^4*d^8*f^4 + 64*b*c^6*d^6*f^4 + 96*b*c^8*d^4*f^4 + 32*b*c^10*d^2*f^4))*(((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) - 8*b^3*c*d^8*f^2 - 24*b^3*c^3*d^6*f^2 - 24*b^3*c^5*d^4*f^2 - 8*b^3*c^7*d^2*f^2)*(((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) + 4*b^2*c^3*f^2 - 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) - log(((c + d*tan(e + f*x))^(1/2)*(16*b^2*d^10*f^3 + 32*b^2*c^2*d^8*f^3 - 32*b^2*c^6*d^4*f^3 - 16*b^2*c^8*d^2*f^3) + (-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*((-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) - 32*b*d^12*f^4 - 96*b*c^2*d^10*f^4 - 64*b*c^4*d^8*f^4 + 64*b*c^6*d^6*f^4 + 96*b*c^8*d^4*f^4 + 32*b*c^10*d^2*f^4))*(-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) - 8*b^3*c*d^8*f^2 - 24*b^3*c^3*d^6*f^2 - 24*b^3*c^5*d^4*f^2 - 8*b^3*c^7*d^2*f^2)*(-((96*b^4*c^2*d^4*f^4 - 16*b^4*d^6*f^4 - 144*b^4*c^4*d^2*f^4)^(1/2) - 4*b^2*c^3*f^2 + 12*b^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) + (log(((((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) - ((((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(((((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5))/4 + 256*a*c^3*d^9*f^4 + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4))/4))/4 + 8*a^3*d^9*f^2 + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 + (log(((-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) - ((-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(((-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5))/4 + 256*a*c^3*d^9*f^4 + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4))/4))/4 + 8*a^3*d^9*f^2 + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(c^6*f^4 + d^6*f^4 + 3*c^2*d^4*f^4 + 3*c^4*d^2*f^4))^(1/2))/4 - log(8*a^3*d^9*f^2 - (((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) + (((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(256*a*c^3*d^9*f^4 - (((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4)) + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) - 4*a^2*c^3*f^2 + 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) - log(8*a^3*d^9*f^2 - (-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(16*a^2*d^10*f^3 + 32*a^2*c^2*d^8*f^3 - 32*a^2*c^6*d^4*f^3 - 16*a^2*c^8*d^2*f^3) + (-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(256*a*c^3*d^9*f^4 - (-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^12*f^5 + 320*c^3*d^10*f^5 + 640*c^5*d^8*f^5 + 640*c^7*d^6*f^5 + 320*c^9*d^4*f^5 + 64*c^11*d^2*f^5) + 384*a*c^5*d^7*f^4 + 256*a*c^7*d^5*f^4 + 64*a*c^9*d^3*f^4 + 64*a*c*d^11*f^4)) + 24*a^3*c^2*d^7*f^2 + 24*a^3*c^4*d^5*f^2 + 8*a^3*c^6*d^3*f^2)*(-((96*a^4*c^2*d^4*f^4 - 16*a^4*d^6*f^4 - 144*a^4*c^4*d^2*f^4)^(1/2) + 4*a^2*c^3*f^2 - 12*a^2*c*d^2*f^2)/(16*c^6*f^4 + 16*d^6*f^4 + 48*c^2*d^4*f^4 + 48*c^4*d^2*f^4))^(1/2) - (2*a*d)/(f*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/2)) + (2*b*c)/(f*(c^2 + d^2)*(c + d*tan(e + f*x))^(1/2))","B"
1257,1,115510,211,20.908074,"\text{Not used}","int(1/((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^(3/2)),x)","\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)}{2}+512\,a^8\,b^9\,d^{36}\,f^8+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)}{2}+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)\right)}{2}+128\,a^7\,b^8\,d^{33}\,f^6-32\,a^{11}\,b^4\,d^{33}\,f^6-32\,a^{13}\,b^2\,d^{33}\,f^6-128\,b^{15}\,c^7\,d^{26}\,f^6-128\,b^{15}\,c^9\,d^{24}\,f^6+2592\,b^{15}\,c^{11}\,d^{22}\,f^6+10976\,b^{15}\,c^{13}\,d^{20}\,f^6+20384\,b^{15}\,c^{15}\,d^{18}\,f^6+20832\,b^{15}\,c^{17}\,d^{16}\,f^6+11872\,b^{15}\,c^{19}\,d^{14}\,f^6+3232\,b^{15}\,c^{21}\,d^{12}\,f^6+96\,b^{15}\,c^{23}\,d^{10}\,f^6-96\,b^{15}\,c^{25}\,d^8\,f^6-2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6-6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6+34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6+187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6+400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6+476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6+338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6+142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6+31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6+2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6+32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6+4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6+15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6-30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6-263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6-652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6-882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6-723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6-363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6-104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6-14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6-352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6-4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6-22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6-7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6+201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6+673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6+1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6+1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6+623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6+213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6+36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6+1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6+2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6+20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6+38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6-83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6-510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6-1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6-1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6-799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6-319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6-66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6-5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6-11648\,a^6\,b^9\,c^3\,d^{30}\,f^6-31808\,a^6\,b^9\,c^5\,d^{28}\,f^6+38784\,a^6\,b^9\,c^7\,d^{26}\,f^6+371840\,a^6\,b^9\,c^9\,d^{24}\,f^6+877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6+1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6+848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6+388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6+98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6+10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6+3712\,a^7\,b^8\,c^2\,d^{31}\,f^6+8384\,a^7\,b^8\,c^4\,d^{29}\,f^6-49280\,a^7\,b^8\,c^6\,d^{27}\,f^6-294784\,a^7\,b^8\,c^8\,d^{25}\,f^6-699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6-947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6-791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6-405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6-117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6-14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6+2208\,a^8\,b^7\,c^3\,d^{30}\,f^6+44576\,a^8\,b^7\,c^5\,d^{28}\,f^6+207200\,a^8\,b^7\,c^7\,d^{26}\,f^6+495264\,a^8\,b^7\,c^9\,d^{24}\,f^6+709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6+635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6+350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6+109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6+14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6-1760\,a^9\,b^6\,c^2\,d^{31}\,f^6-22880\,a^9\,b^6\,c^4\,d^{29}\,f^6-110880\,a^9\,b^6\,c^6\,d^{27}\,f^6-283360\,a^9\,b^6\,c^8\,d^{25}\,f^6-431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6-406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6-234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6-75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6-10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6+7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6+44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6+123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6+197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6+192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6+113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6+37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6+5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6-1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6-12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6-38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6-62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6-62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6-37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6-12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6-1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6+2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6+7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6+12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6+12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6+7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6+2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6+352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6-224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6-672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6-1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6-1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6-672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6-224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6-32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6+896\,a\,b^{14}\,c^6\,d^{27}\,f^6+1408\,a\,b^{14}\,c^8\,d^{25}\,f^6-15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6-70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6-138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6-150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6-94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6-32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6-4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6+32\,a\,b^{14}\,c^{24}\,d^9\,f^6-896\,a^6\,b^9\,c\,d^{32}\,f^6-512\,a^8\,b^7\,c\,d^{32}\,f^6+352\,a^{10}\,b^5\,c\,d^{32}\,f^6+352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)}{2}+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}}{2}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)}{2}+512\,a^8\,b^9\,d^{36}\,f^8+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)}{2}+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)\right)}{2}+128\,a^7\,b^8\,d^{33}\,f^6-32\,a^{11}\,b^4\,d^{33}\,f^6-32\,a^{13}\,b^2\,d^{33}\,f^6-128\,b^{15}\,c^7\,d^{26}\,f^6-128\,b^{15}\,c^9\,d^{24}\,f^6+2592\,b^{15}\,c^{11}\,d^{22}\,f^6+10976\,b^{15}\,c^{13}\,d^{20}\,f^6+20384\,b^{15}\,c^{15}\,d^{18}\,f^6+20832\,b^{15}\,c^{17}\,d^{16}\,f^6+11872\,b^{15}\,c^{19}\,d^{14}\,f^6+3232\,b^{15}\,c^{21}\,d^{12}\,f^6+96\,b^{15}\,c^{23}\,d^{10}\,f^6-96\,b^{15}\,c^{25}\,d^8\,f^6-2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6-6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6+34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6+187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6+400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6+476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6+338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6+142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6+31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6+2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6+32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6+4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6+15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6-30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6-263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6-652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6-882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6-723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6-363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6-104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6-14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6-352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6-4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6-22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6-7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6+201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6+673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6+1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6+1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6+623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6+213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6+36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6+1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6+2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6+20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6+38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6-83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6-510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6-1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6-1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6-799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6-319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6-66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6-5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6-11648\,a^6\,b^9\,c^3\,d^{30}\,f^6-31808\,a^6\,b^9\,c^5\,d^{28}\,f^6+38784\,a^6\,b^9\,c^7\,d^{26}\,f^6+371840\,a^6\,b^9\,c^9\,d^{24}\,f^6+877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6+1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6+848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6+388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6+98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6+10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6+3712\,a^7\,b^8\,c^2\,d^{31}\,f^6+8384\,a^7\,b^8\,c^4\,d^{29}\,f^6-49280\,a^7\,b^8\,c^6\,d^{27}\,f^6-294784\,a^7\,b^8\,c^8\,d^{25}\,f^6-699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6-947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6-791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6-405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6-117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6-14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6+2208\,a^8\,b^7\,c^3\,d^{30}\,f^6+44576\,a^8\,b^7\,c^5\,d^{28}\,f^6+207200\,a^8\,b^7\,c^7\,d^{26}\,f^6+495264\,a^8\,b^7\,c^9\,d^{24}\,f^6+709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6+635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6+350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6+109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6+14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6-1760\,a^9\,b^6\,c^2\,d^{31}\,f^6-22880\,a^9\,b^6\,c^4\,d^{29}\,f^6-110880\,a^9\,b^6\,c^6\,d^{27}\,f^6-283360\,a^9\,b^6\,c^8\,d^{25}\,f^6-431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6-406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6-234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6-75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6-10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6+7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6+44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6+123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6+197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6+192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6+113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6+37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6+5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6-1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6-12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6-38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6-62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6-62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6-37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6-12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6-1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6+2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6+7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6+12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6+12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6+7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6+2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6+352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6-224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6-672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6-1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6-1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6-672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6-224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6-32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6+896\,a\,b^{14}\,c^6\,d^{27}\,f^6+1408\,a\,b^{14}\,c^8\,d^{25}\,f^6-15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6-70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6-138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6-150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6-94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6-32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6-4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6+32\,a\,b^{14}\,c^{24}\,d^9\,f^6-896\,a^6\,b^9\,c\,d^{32}\,f^6-512\,a^8\,b^7\,c\,d^{32}\,f^6+352\,a^{10}\,b^5\,c\,d^{32}\,f^6+352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)}{2}+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{a^4\,c^6\,f^4+3\,a^4\,c^4\,d^2\,f^4+3\,a^4\,c^2\,d^4\,f^4+a^4\,d^6\,f^4+2\,a^2\,b^2\,c^6\,f^4+6\,a^2\,b^2\,c^4\,d^2\,f^4+6\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+b^4\,c^6\,f^4+3\,b^4\,c^4\,d^2\,f^4+3\,b^4\,c^2\,d^4\,f^4+b^4\,d^6\,f^4}}}{2}-\ln\left(\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\left(\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\left(\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\left(512\,a^8\,b^9\,d^{36}\,f^8-\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)\right)+128\,a^7\,b^8\,d^{33}\,f^6-32\,a^{11}\,b^4\,d^{33}\,f^6-32\,a^{13}\,b^2\,d^{33}\,f^6-128\,b^{15}\,c^7\,d^{26}\,f^6-128\,b^{15}\,c^9\,d^{24}\,f^6+2592\,b^{15}\,c^{11}\,d^{22}\,f^6+10976\,b^{15}\,c^{13}\,d^{20}\,f^6+20384\,b^{15}\,c^{15}\,d^{18}\,f^6+20832\,b^{15}\,c^{17}\,d^{16}\,f^6+11872\,b^{15}\,c^{19}\,d^{14}\,f^6+3232\,b^{15}\,c^{21}\,d^{12}\,f^6+96\,b^{15}\,c^{23}\,d^{10}\,f^6-96\,b^{15}\,c^{25}\,d^8\,f^6-2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6-6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6+34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6+187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6+400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6+476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6+338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6+142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6+31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6+2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6+32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6+4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6+15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6-30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6-263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6-652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6-882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6-723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6-363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6-104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6-14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6-352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6-4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6-22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6-7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6+201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6+673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6+1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6+1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6+623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6+213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6+36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6+1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6+2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6+20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6+38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6-83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6-510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6-1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6-1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6-799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6-319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6-66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6-5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6-11648\,a^6\,b^9\,c^3\,d^{30}\,f^6-31808\,a^6\,b^9\,c^5\,d^{28}\,f^6+38784\,a^6\,b^9\,c^7\,d^{26}\,f^6+371840\,a^6\,b^9\,c^9\,d^{24}\,f^6+877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6+1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6+848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6+388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6+98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6+10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6+3712\,a^7\,b^8\,c^2\,d^{31}\,f^6+8384\,a^7\,b^8\,c^4\,d^{29}\,f^6-49280\,a^7\,b^8\,c^6\,d^{27}\,f^6-294784\,a^7\,b^8\,c^8\,d^{25}\,f^6-699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6-947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6-791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6-405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6-117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6-14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6+2208\,a^8\,b^7\,c^3\,d^{30}\,f^6+44576\,a^8\,b^7\,c^5\,d^{28}\,f^6+207200\,a^8\,b^7\,c^7\,d^{26}\,f^6+495264\,a^8\,b^7\,c^9\,d^{24}\,f^6+709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6+635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6+350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6+109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6+14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6-1760\,a^9\,b^6\,c^2\,d^{31}\,f^6-22880\,a^9\,b^6\,c^4\,d^{29}\,f^6-110880\,a^9\,b^6\,c^6\,d^{27}\,f^6-283360\,a^9\,b^6\,c^8\,d^{25}\,f^6-431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6-406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6-234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6-75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6-10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6+7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6+44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6+123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6+197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6+192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6+113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6+37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6+5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6-1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6-12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6-38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6-62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6-62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6-37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6-12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6-1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6+2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6+7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6+12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6+12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6+7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6+2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6+352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6-224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6-672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6-1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6-1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6-672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6-224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6-32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6+896\,a\,b^{14}\,c^6\,d^{27}\,f^6+1408\,a\,b^{14}\,c^8\,d^{25}\,f^6-15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6-70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6-138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6-150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6-94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6-32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6-4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6+32\,a\,b^{14}\,c^{24}\,d^9\,f^6-896\,a^6\,b^9\,c\,d^{32}\,f^6-512\,a^8\,b^7\,c\,d^{32}\,f^6+352\,a^{10}\,b^5\,c\,d^{32}\,f^6+352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}-a^2\,c^3\,f^2+b^2\,c^3\,f^2+3\,a^2\,c\,d^2\,f^2-3\,b^2\,c\,d^2\,f^2-2\,a\,b\,d^3\,f^2+6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}-\ln\left(\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\left(\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\left(\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\left(512\,a^8\,b^9\,d^{36}\,f^8-\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)\right)+128\,a^7\,b^8\,d^{33}\,f^6-32\,a^{11}\,b^4\,d^{33}\,f^6-32\,a^{13}\,b^2\,d^{33}\,f^6-128\,b^{15}\,c^7\,d^{26}\,f^6-128\,b^{15}\,c^9\,d^{24}\,f^6+2592\,b^{15}\,c^{11}\,d^{22}\,f^6+10976\,b^{15}\,c^{13}\,d^{20}\,f^6+20384\,b^{15}\,c^{15}\,d^{18}\,f^6+20832\,b^{15}\,c^{17}\,d^{16}\,f^6+11872\,b^{15}\,c^{19}\,d^{14}\,f^6+3232\,b^{15}\,c^{21}\,d^{12}\,f^6+96\,b^{15}\,c^{23}\,d^{10}\,f^6-96\,b^{15}\,c^{25}\,d^8\,f^6-2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6-6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6+34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6+187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6+400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6+476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6+338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6+142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6+31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6+2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6+32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6+4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6+15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6-30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6-263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6-652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6-882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6-723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6-363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6-104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6-14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6-352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6-4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6-22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6-7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6+201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6+673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6+1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6+1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6+623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6+213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6+36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6+1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6+2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6+20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6+38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6-83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6-510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6-1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6-1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6-799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6-319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6-66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6-5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6-11648\,a^6\,b^9\,c^3\,d^{30}\,f^6-31808\,a^6\,b^9\,c^5\,d^{28}\,f^6+38784\,a^6\,b^9\,c^7\,d^{26}\,f^6+371840\,a^6\,b^9\,c^9\,d^{24}\,f^6+877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6+1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6+848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6+388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6+98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6+10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6+3712\,a^7\,b^8\,c^2\,d^{31}\,f^6+8384\,a^7\,b^8\,c^4\,d^{29}\,f^6-49280\,a^7\,b^8\,c^6\,d^{27}\,f^6-294784\,a^7\,b^8\,c^8\,d^{25}\,f^6-699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6-947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6-791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6-405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6-117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6-14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6+2208\,a^8\,b^7\,c^3\,d^{30}\,f^6+44576\,a^8\,b^7\,c^5\,d^{28}\,f^6+207200\,a^8\,b^7\,c^7\,d^{26}\,f^6+495264\,a^8\,b^7\,c^9\,d^{24}\,f^6+709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6+635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6+350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6+109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6+14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6-1760\,a^9\,b^6\,c^2\,d^{31}\,f^6-22880\,a^9\,b^6\,c^4\,d^{29}\,f^6-110880\,a^9\,b^6\,c^6\,d^{27}\,f^6-283360\,a^9\,b^6\,c^8\,d^{25}\,f^6-431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6-406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6-234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6-75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6-10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6+7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6+44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6+123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6+197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6+192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6+113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6+37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6+5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6-1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6-12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6-38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6-62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6-62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6-37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6-12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6-1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6+2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6+7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6+12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6+12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6+7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6+2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6+352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6-224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6-672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6-1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6-1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6-672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6-224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6-32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6+896\,a\,b^{14}\,c^6\,d^{27}\,f^6+1408\,a\,b^{14}\,c^8\,d^{25}\,f^6-15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6-70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6-138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6-150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6-94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6-32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6-4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6+32\,a\,b^{14}\,c^{24}\,d^9\,f^6-896\,a^6\,b^9\,c\,d^{32}\,f^6-512\,a^8\,b^7\,c\,d^{32}\,f^6+352\,a^{10}\,b^5\,c\,d^{32}\,f^6+352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,c^4\,d^2\,f^4+6\,a^4\,c^2\,d^4\,f^4-a^4\,d^6\,f^4-12\,a^3\,b\,c^5\,d\,f^4+40\,a^3\,b\,c^3\,d^3\,f^4-12\,a^3\,b\,c\,d^5\,f^4-4\,a^2\,b^2\,c^6\,f^4+42\,a^2\,b^2\,c^4\,d^2\,f^4-48\,a^2\,b^2\,c^2\,d^4\,f^4+2\,a^2\,b^2\,d^6\,f^4+12\,a\,b^3\,c^5\,d\,f^4-40\,a\,b^3\,c^3\,d^3\,f^4+12\,a\,b^3\,c\,d^5\,f^4-9\,b^4\,c^4\,d^2\,f^4+6\,b^4\,c^2\,d^4\,f^4-b^4\,d^6\,f^4}+a^2\,c^3\,f^2-b^2\,c^3\,f^2-3\,a^2\,c\,d^2\,f^2+3\,b^2\,c\,d^2\,f^2+2\,a\,b\,d^3\,f^2-6\,a\,b\,c^2\,d\,f^2}{4\,a^4\,c^6\,f^4+12\,a^4\,c^4\,d^2\,f^4+12\,a^4\,c^2\,d^4\,f^4+4\,a^4\,d^6\,f^4+8\,a^2\,b^2\,c^6\,f^4+24\,a^2\,b^2\,c^4\,d^2\,f^4+24\,a^2\,b^2\,c^2\,d^4\,f^4+8\,a^2\,b^2\,d^6\,f^4+4\,b^4\,c^6\,f^4+12\,b^4\,c^4\,d^2\,f^4+12\,b^4\,c^2\,d^4\,f^4+4\,b^4\,d^6\,f^4}}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(512\,a^8\,b^9\,d^{36}\,f^8+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}+128\,a^7\,b^8\,d^{33}\,f^6-32\,a^{11}\,b^4\,d^{33}\,f^6-32\,a^{13}\,b^2\,d^{33}\,f^6-128\,b^{15}\,c^7\,d^{26}\,f^6-128\,b^{15}\,c^9\,d^{24}\,f^6+2592\,b^{15}\,c^{11}\,d^{22}\,f^6+10976\,b^{15}\,c^{13}\,d^{20}\,f^6+20384\,b^{15}\,c^{15}\,d^{18}\,f^6+20832\,b^{15}\,c^{17}\,d^{16}\,f^6+11872\,b^{15}\,c^{19}\,d^{14}\,f^6+3232\,b^{15}\,c^{21}\,d^{12}\,f^6+96\,b^{15}\,c^{23}\,d^{10}\,f^6-96\,b^{15}\,c^{25}\,d^8\,f^6-2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6-6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6+34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6+187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6+400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6+476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6+338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6+142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6+31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6+2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6+32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6+4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6+15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6-30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6-263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6-652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6-882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6-723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6-363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6-104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6-14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6-352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6-4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6-22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6-7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6+201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6+673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6+1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6+1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6+623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6+213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6+36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6+1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6+2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6+20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6+38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6-83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6-510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6-1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6-1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6-799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6-319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6-66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6-5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6-11648\,a^6\,b^9\,c^3\,d^{30}\,f^6-31808\,a^6\,b^9\,c^5\,d^{28}\,f^6+38784\,a^6\,b^9\,c^7\,d^{26}\,f^6+371840\,a^6\,b^9\,c^9\,d^{24}\,f^6+877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6+1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6+848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6+388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6+98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6+10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6+3712\,a^7\,b^8\,c^2\,d^{31}\,f^6+8384\,a^7\,b^8\,c^4\,d^{29}\,f^6-49280\,a^7\,b^8\,c^6\,d^{27}\,f^6-294784\,a^7\,b^8\,c^8\,d^{25}\,f^6-699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6-947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6-791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6-405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6-117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6-14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6+2208\,a^8\,b^7\,c^3\,d^{30}\,f^6+44576\,a^8\,b^7\,c^5\,d^{28}\,f^6+207200\,a^8\,b^7\,c^7\,d^{26}\,f^6+495264\,a^8\,b^7\,c^9\,d^{24}\,f^6+709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6+635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6+350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6+109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6+14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6-1760\,a^9\,b^6\,c^2\,d^{31}\,f^6-22880\,a^9\,b^6\,c^4\,d^{29}\,f^6-110880\,a^9\,b^6\,c^6\,d^{27}\,f^6-283360\,a^9\,b^6\,c^8\,d^{25}\,f^6-431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6-406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6-234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6-75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6-10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6+7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6+44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6+123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6+197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6+192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6+113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6+37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6+5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6-1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6-12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6-38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6-62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6-62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6-37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6-12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6-1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6+2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6+7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6+12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6+12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6+7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6+2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6+352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6-224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6-672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6-1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6-1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6-672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6-224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6-32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6+896\,a\,b^{14}\,c^6\,d^{27}\,f^6+1408\,a\,b^{14}\,c^8\,d^{25}\,f^6-15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6-70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6-138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6-150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6-94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6-32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6-4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6+32\,a\,b^{14}\,c^{24}\,d^9\,f^6-896\,a^6\,b^9\,c\,d^{32}\,f^6-512\,a^8\,b^7\,c\,d^{32}\,f^6+352\,a^{10}\,b^5\,c\,d^{32}\,f^6+352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)\,1{}\mathrm{i}}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(512\,a^8\,b^9\,d^{36}\,f^8+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}-128\,a^7\,b^8\,d^{33}\,f^6+32\,a^{11}\,b^4\,d^{33}\,f^6+32\,a^{13}\,b^2\,d^{33}\,f^6+128\,b^{15}\,c^7\,d^{26}\,f^6+128\,b^{15}\,c^9\,d^{24}\,f^6-2592\,b^{15}\,c^{11}\,d^{22}\,f^6-10976\,b^{15}\,c^{13}\,d^{20}\,f^6-20384\,b^{15}\,c^{15}\,d^{18}\,f^6-20832\,b^{15}\,c^{17}\,d^{16}\,f^6-11872\,b^{15}\,c^{19}\,d^{14}\,f^6-3232\,b^{15}\,c^{21}\,d^{12}\,f^6-96\,b^{15}\,c^{23}\,d^{10}\,f^6+96\,b^{15}\,c^{25}\,d^8\,f^6+2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6+6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6-34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6-187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6-400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6-476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6-338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6-142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6-31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6-2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6-32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6-4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6-15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6+30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6+263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6+652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6+882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6+723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6+363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6+104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6+14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6+352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6+4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6+22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6+7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6-201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6-673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6-1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6-1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6-623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6-213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6-36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6-1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6-2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6-20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6-38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6+83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6+510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6+1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6+1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6+799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6+319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6+66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6+5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6+11648\,a^6\,b^9\,c^3\,d^{30}\,f^6+31808\,a^6\,b^9\,c^5\,d^{28}\,f^6-38784\,a^6\,b^9\,c^7\,d^{26}\,f^6-371840\,a^6\,b^9\,c^9\,d^{24}\,f^6-877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6-1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6-848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6-388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6-98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6-10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6-3712\,a^7\,b^8\,c^2\,d^{31}\,f^6-8384\,a^7\,b^8\,c^4\,d^{29}\,f^6+49280\,a^7\,b^8\,c^6\,d^{27}\,f^6+294784\,a^7\,b^8\,c^8\,d^{25}\,f^6+699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6+947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6+791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6+405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6+117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6+14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6-2208\,a^8\,b^7\,c^3\,d^{30}\,f^6-44576\,a^8\,b^7\,c^5\,d^{28}\,f^6-207200\,a^8\,b^7\,c^7\,d^{26}\,f^6-495264\,a^8\,b^7\,c^9\,d^{24}\,f^6-709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6-635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6-350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6-109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6-14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6+1760\,a^9\,b^6\,c^2\,d^{31}\,f^6+22880\,a^9\,b^6\,c^4\,d^{29}\,f^6+110880\,a^9\,b^6\,c^6\,d^{27}\,f^6+283360\,a^9\,b^6\,c^8\,d^{25}\,f^6+431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6+406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6+234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6+75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6+10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6-7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6-44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6-123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6-197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6-192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6-113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6-37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6-5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6+1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6+12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6+38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6+62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6+62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6+37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6+12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6+1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6-2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6-7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6-12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6-12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6-7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6-2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6-352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6+224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6+672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6+1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6+1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6+672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6+224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6+32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6-896\,a\,b^{14}\,c^6\,d^{27}\,f^6-1408\,a\,b^{14}\,c^8\,d^{25}\,f^6+15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6+70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6+138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6+150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6+94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6+32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6+4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6-32\,a\,b^{14}\,c^{24}\,d^9\,f^6+896\,a^6\,b^9\,c\,d^{32}\,f^6+512\,a^8\,b^7\,c\,d^{32}\,f^6-352\,a^{10}\,b^5\,c\,d^{32}\,f^6-352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)\,1{}\mathrm{i}}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}}{\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(512\,a^8\,b^9\,d^{36}\,f^8+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}+128\,a^7\,b^8\,d^{33}\,f^6-32\,a^{11}\,b^4\,d^{33}\,f^6-32\,a^{13}\,b^2\,d^{33}\,f^6-128\,b^{15}\,c^7\,d^{26}\,f^6-128\,b^{15}\,c^9\,d^{24}\,f^6+2592\,b^{15}\,c^{11}\,d^{22}\,f^6+10976\,b^{15}\,c^{13}\,d^{20}\,f^6+20384\,b^{15}\,c^{15}\,d^{18}\,f^6+20832\,b^{15}\,c^{17}\,d^{16}\,f^6+11872\,b^{15}\,c^{19}\,d^{14}\,f^6+3232\,b^{15}\,c^{21}\,d^{12}\,f^6+96\,b^{15}\,c^{23}\,d^{10}\,f^6-96\,b^{15}\,c^{25}\,d^8\,f^6-2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6-6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6+34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6+187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6+400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6+476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6+338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6+142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6+31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6+2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6+32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6+4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6+15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6-30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6-263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6-652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6-882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6-723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6-363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6-104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6-14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6-352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6-4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6-22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6-7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6+201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6+673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6+1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6+1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6+623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6+213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6+36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6+1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6+2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6+20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6+38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6-83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6-510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6-1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6-1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6-799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6-319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6-66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6-5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6-11648\,a^6\,b^9\,c^3\,d^{30}\,f^6-31808\,a^6\,b^9\,c^5\,d^{28}\,f^6+38784\,a^6\,b^9\,c^7\,d^{26}\,f^6+371840\,a^6\,b^9\,c^9\,d^{24}\,f^6+877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6+1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6+848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6+388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6+98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6+10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6+3712\,a^7\,b^8\,c^2\,d^{31}\,f^6+8384\,a^7\,b^8\,c^4\,d^{29}\,f^6-49280\,a^7\,b^8\,c^6\,d^{27}\,f^6-294784\,a^7\,b^8\,c^8\,d^{25}\,f^6-699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6-947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6-791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6-405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6-117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6-14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6+2208\,a^8\,b^7\,c^3\,d^{30}\,f^6+44576\,a^8\,b^7\,c^5\,d^{28}\,f^6+207200\,a^8\,b^7\,c^7\,d^{26}\,f^6+495264\,a^8\,b^7\,c^9\,d^{24}\,f^6+709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6+635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6+350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6+109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6+14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6-1760\,a^9\,b^6\,c^2\,d^{31}\,f^6-22880\,a^9\,b^6\,c^4\,d^{29}\,f^6-110880\,a^9\,b^6\,c^6\,d^{27}\,f^6-283360\,a^9\,b^6\,c^8\,d^{25}\,f^6-431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6-406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6-234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6-75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6-10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6+7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6+44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6+123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6+197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6+192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6+113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6+37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6+5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6-1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6-12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6-38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6-62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6-62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6-37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6-12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6-1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6+2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6+7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6+12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6+12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6+7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6+2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6+352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6-224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6-672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6-1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6-1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6-672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6-224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6-32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6+896\,a\,b^{14}\,c^6\,d^{27}\,f^6+1408\,a\,b^{14}\,c^8\,d^{25}\,f^6-15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6-70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6-138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6-150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6-94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6-32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6-4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6+32\,a\,b^{14}\,c^{24}\,d^9\,f^6-896\,a^6\,b^9\,c\,d^{32}\,f^6-512\,a^8\,b^7\,c\,d^{32}\,f^6+352\,a^{10}\,b^5\,c\,d^{32}\,f^6+352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(32\,a^9\,b^5\,c^{14}\,d^{17}\,f^5+224\,a^9\,b^5\,c^{12}\,d^{19}\,f^5+672\,a^9\,b^5\,c^{10}\,d^{21}\,f^5+1120\,a^9\,b^5\,c^8\,d^{23}\,f^5+1120\,a^9\,b^5\,c^6\,d^{25}\,f^5+672\,a^9\,b^5\,c^4\,d^{27}\,f^5+224\,a^9\,b^5\,c^2\,d^{29}\,f^5+32\,a^9\,b^5\,d^{31}\,f^5-288\,a^8\,b^6\,c^{15}\,d^{16}\,f^5-2016\,a^8\,b^6\,c^{13}\,d^{18}\,f^5-6048\,a^8\,b^6\,c^{11}\,d^{20}\,f^5-10080\,a^8\,b^6\,c^9\,d^{22}\,f^5-10080\,a^8\,b^6\,c^7\,d^{24}\,f^5-6048\,a^8\,b^6\,c^5\,d^{26}\,f^5-2016\,a^8\,b^6\,c^3\,d^{28}\,f^5-288\,a^8\,b^6\,c\,d^{30}\,f^5+1216\,a^7\,b^7\,c^{16}\,d^{15}\,f^5+8448\,a^7\,b^7\,c^{14}\,d^{17}\,f^5+25088\,a^7\,b^7\,c^{12}\,d^{19}\,f^5+41216\,a^7\,b^7\,c^{10}\,d^{21}\,f^5+40320\,a^7\,b^7\,c^8\,d^{23}\,f^5+23296\,a^7\,b^7\,c^6\,d^{25}\,f^5+7168\,a^7\,b^7\,c^4\,d^{27}\,f^5+768\,a^7\,b^7\,c^2\,d^{29}\,f^5-64\,a^7\,b^7\,d^{31}\,f^5-3136\,a^6\,b^8\,c^{17}\,d^{14}\,f^5-21504\,a^6\,b^8\,c^{15}\,d^{16}\,f^5-62720\,a^6\,b^8\,c^{13}\,d^{18}\,f^5-100352\,a^6\,b^8\,c^{11}\,d^{20}\,f^5-94080\,a^6\,b^8\,c^9\,d^{22}\,f^5-50176\,a^6\,b^8\,c^7\,d^{24}\,f^5-12544\,a^6\,b^8\,c^5\,d^{26}\,f^5+448\,a^6\,b^8\,c\,d^{30}\,f^5+5376\,a^5\,b^9\,c^{18}\,d^{13}\,f^5+36288\,a^5\,b^9\,c^{16}\,d^{15}\,f^5+103488\,a^5\,b^9\,c^{14}\,d^{17}\,f^5+159936\,a^5\,b^9\,c^{12}\,d^{19}\,f^5+141120\,a^5\,b^9\,c^{10}\,d^{21}\,f^5+65856\,a^5\,b^9\,c^8\,d^{23}\,f^5+9408\,a^5\,b^9\,c^6\,d^{25}\,f^5-4032\,a^5\,b^9\,c^4\,d^{27}\,f^5-1344\,a^5\,b^9\,c^2\,d^{29}\,f^5-6272\,a^4\,b^{10}\,c^{19}\,d^{12}\,f^5-41664\,a^4\,b^{10}\,c^{17}\,d^{14}\,f^5-116032\,a^4\,b^{10}\,c^{15}\,d^{16}\,f^5-172480\,a^4\,b^{10}\,c^{13}\,d^{18}\,f^5-141120\,a^4\,b^{10}\,c^{11}\,d^{20}\,f^5-53312\,a^4\,b^{10}\,c^9\,d^{22}\,f^5+3136\,a^4\,b^{10}\,c^7\,d^{24}\,f^5+9408\,a^4\,b^{10}\,c^5\,d^{26}\,f^5+2240\,a^4\,b^{10}\,c^3\,d^{28}\,f^5+4928\,a^3\,b^{11}\,c^{20}\,d^{11}\,f^5+32256\,a^3\,b^{11}\,c^{18}\,d^{13}\,f^5+87808\,a^3\,b^{11}\,c^{16}\,d^{15}\,f^5+125440\,a^3\,b^{11}\,c^{14}\,d^{17}\,f^5+94080\,a^3\,b^{11}\,c^{12}\,d^{19}\,f^5+25088\,a^3\,b^{11}\,c^{10}\,d^{21}\,f^5-12544\,a^3\,b^{11}\,c^8\,d^{23}\,f^5-10752\,a^3\,b^{11}\,c^6\,d^{25}\,f^5-2240\,a^3\,b^{11}\,c^4\,d^{27}\,f^5-2496\,a^2\,b^{12}\,c^{21}\,d^{10}\,f^5-16128\,a^2\,b^{12}\,c^{19}\,d^{12}\,f^5-43008\,a^2\,b^{12}\,c^{17}\,d^{14}\,f^5-59136\,a^2\,b^{12}\,c^{15}\,d^{16}\,f^5-40320\,a^2\,b^{12}\,c^{13}\,d^{18}\,f^5-5376\,a^2\,b^{12}\,c^{11}\,d^{20}\,f^5+10752\,a^2\,b^{12}\,c^9\,d^{22}\,f^5+6912\,a^2\,b^{12}\,c^7\,d^{24}\,f^5+1344\,a^2\,b^{12}\,c^5\,d^{26}\,f^5+736\,a\,b^{13}\,c^{22}\,d^9\,f^5+4704\,a\,b^{13}\,c^{20}\,d^{11}\,f^5+12320\,a\,b^{13}\,c^{18}\,d^{13}\,f^5+16352\,a\,b^{13}\,c^{16}\,d^{15}\,f^5+10080\,a\,b^{13}\,c^{14}\,d^{17}\,f^5-224\,a\,b^{13}\,c^{12}\,d^{19}\,f^5-4256\,a\,b^{13}\,c^{10}\,d^{21}\,f^5-2400\,a\,b^{13}\,c^8\,d^{23}\,f^5-448\,a\,b^{13}\,c^6\,d^{25}\,f^5-96\,b^{14}\,c^{23}\,d^8\,f^5-608\,b^{14}\,c^{21}\,d^{10}\,f^5-1568\,b^{14}\,c^{19}\,d^{12}\,f^5-2016\,b^{14}\,c^{17}\,d^{14}\,f^5-1120\,b^{14}\,c^{15}\,d^{16}\,f^5+224\,b^{14}\,c^{13}\,d^{18}\,f^5+672\,b^{14}\,c^{11}\,d^{20}\,f^5+352\,b^{14}\,c^9\,d^{22}\,f^5+64\,b^{14}\,c^7\,d^{24}\,f^5\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,a^{14}\,b^2\,c^{16}\,d^{18}\,f^7+384\,a^{14}\,b^2\,c^{14}\,d^{20}\,f^7+896\,a^{14}\,b^2\,c^{12}\,d^{22}\,f^7+896\,a^{14}\,b^2\,c^{10}\,d^{24}\,f^7-896\,a^{14}\,b^2\,c^6\,d^{28}\,f^7-896\,a^{14}\,b^2\,c^4\,d^{30}\,f^7-384\,a^{14}\,b^2\,c^2\,d^{32}\,f^7-64\,a^{14}\,b^2\,d^{34}\,f^7-640\,a^{13}\,b^3\,c^{17}\,d^{17}\,f^7-3840\,a^{13}\,b^3\,c^{15}\,d^{19}\,f^7-8960\,a^{13}\,b^3\,c^{13}\,d^{21}\,f^7-8960\,a^{13}\,b^3\,c^{11}\,d^{23}\,f^7+8960\,a^{13}\,b^3\,c^7\,d^{27}\,f^7+8960\,a^{13}\,b^3\,c^5\,d^{29}\,f^7+3840\,a^{13}\,b^3\,c^3\,d^{31}\,f^7+640\,a^{13}\,b^3\,c\,d^{33}\,f^7+2880\,a^{12}\,b^4\,c^{18}\,d^{16}\,f^7+17408\,a^{12}\,b^4\,c^{16}\,d^{18}\,f^7+41088\,a^{12}\,b^4\,c^{14}\,d^{20}\,f^7+42112\,a^{12}\,b^4\,c^{12}\,d^{22}\,f^7+1792\,a^{12}\,b^4\,c^{10}\,d^{24}\,f^7-40320\,a^{12}\,b^4\,c^8\,d^{26}\,f^7-42112\,a^{12}\,b^4\,c^6\,d^{28}\,f^7-19072\,a^{12}\,b^4\,c^4\,d^{30}\,f^7-3648\,a^{12}\,b^4\,c^2\,d^{32}\,f^7-128\,a^{12}\,b^4\,d^{34}\,f^7-7680\,a^{11}\,b^5\,c^{19}\,d^{15}\,f^7-47104\,a^{11}\,b^5\,c^{17}\,d^{17}\,f^7-114176\,a^{11}\,b^5\,c^{15}\,d^{19}\,f^7-125440\,a^{11}\,b^5\,c^{13}\,d^{21}\,f^7-25088\,a^{11}\,b^5\,c^{11}\,d^{23}\,f^7+89600\,a^{11}\,b^5\,c^9\,d^{25}\,f^7+103936\,a^{11}\,b^5\,c^7\,d^{27}\,f^7+49664\,a^{11}\,b^5\,c^5\,d^{29}\,f^7+10240\,a^{11}\,b^5\,c^3\,d^{31}\,f^7+512\,a^{11}\,b^5\,c\,d^{33}\,f^7+13440\,a^{10}\,b^6\,c^{20}\,d^{14}\,f^7+84096\,a^{10}\,b^6\,c^{18}\,d^{16}\,f^7+212032\,a^{10}\,b^6\,c^{16}\,d^{18}\,f^7+258944\,a^{10}\,b^6\,c^{14}\,d^{20}\,f^7+117376\,a^{10}\,b^6\,c^{12}\,d^{22}\,f^7-68992\,a^{10}\,b^6\,c^{10}\,d^{24}\,f^7-111104\,a^{10}\,b^6\,c^8\,d^{26}\,f^7-47488\,a^{10}\,b^6\,c^6\,d^{28}\,f^7-2816\,a^{10}\,b^6\,c^4\,d^{30}\,f^7+2816\,a^{10}\,b^6\,c^2\,d^{32}\,f^7+448\,a^{10}\,b^6\,d^{34}\,f^7-16128\,a^9\,b^7\,c^{21}\,d^{13}\,f^7-102656\,a^9\,b^7\,c^{19}\,d^{15}\,f^7-265856\,a^9\,b^7\,c^{17}\,d^{17}\,f^7-344320\,a^9\,b^7\,c^{15}\,d^{19}\,f^7-202496\,a^9\,b^7\,c^{13}\,d^{21}\,f^7-1792\,a^9\,b^7\,c^{11}\,d^{23}\,f^7+39424\,a^9\,b^7\,c^9\,d^{25}\,f^7-23296\,a^9\,b^7\,c^7\,d^{27}\,f^7-43520\,a^9\,b^7\,c^5\,d^{29}\,f^7-19456\,a^9\,b^7\,c^3\,d^{31}\,f^7-2944\,a^9\,b^7\,c\,d^{33}\,f^7+13440\,a^8\,b^8\,c^{22}\,d^{12}\,f^7+84224\,a^8\,b^8\,c^{20}\,d^{14}\,f^7+196672\,a^8\,b^8\,c^{18}\,d^{16}\,f^7+153216\,a^8\,b^8\,c^{16}\,d^{18}\,f^7-182400\,a^8\,b^8\,c^{14}\,d^{20}\,f^7-524160\,a^8\,b^8\,c^{12}\,d^{22}\,f^7-499968\,a^8\,b^8\,c^{10}\,d^{24}\,f^7-217728\,a^8\,b^8\,c^8\,d^{26}\,f^7-21504\,a^8\,b^8\,c^6\,d^{28}\,f^7+13440\,a^8\,b^8\,c^4\,d^{30}\,f^7+2240\,a^8\,b^8\,c^2\,d^{32}\,f^7-512\,a^8\,b^8\,d^{34}\,f^7-7680\,a^7\,b^9\,c^{23}\,d^{11}\,f^7-40704\,a^7\,b^9\,c^{21}\,d^{13}\,f^7-8192\,a^7\,b^9\,c^{19}\,d^{15}\,f^7+441600\,a^7\,b^9\,c^{17}\,d^{17}\,f^7+1517568\,a^7\,b^9\,c^{15}\,d^{19}\,f^7+2569728\,a^7\,b^9\,c^{13}\,d^{21}\,f^7+2601984\,a^7\,b^9\,c^{11}\,d^{23}\,f^7+1648128\,a^7\,b^9\,c^9\,d^{25}\,f^7+652800\,a^7\,b^9\,c^7\,d^{27}\,f^7+162048\,a^7\,b^9\,c^5\,d^{29}\,f^7+27648\,a^7\,b^9\,c^3\,d^{31}\,f^7+3328\,a^7\,b^9\,c\,d^{33}\,f^7+2880\,a^6\,b^{10}\,c^{24}\,d^{10}\,f^7+2944\,a^6\,b^{10}\,c^{22}\,d^{12}\,f^7-175616\,a^6\,b^{10}\,c^{20}\,d^{14}\,f^7-1110144\,a^6\,b^{10}\,c^{18}\,d^{16}\,f^7-3220224\,a^6\,b^{10}\,c^{16}\,d^{18}\,f^7-5496960\,a^6\,b^{10}\,c^{14}\,d^{20}\,f^7-5986176\,a^6\,b^{10}\,c^{12}\,d^{22}\,f^7-4269696\,a^6\,b^{10}\,c^{10}\,d^{24}\,f^7-1986624\,a^6\,b^{10}\,c^8\,d^{26}\,f^7-585984\,a^6\,b^{10}\,c^6\,d^{28}\,f^7-103040\,a^6\,b^{10}\,c^4\,d^{30}\,f^7-8960\,a^6\,b^{10}\,c^2\,d^{32}\,f^7-640\,a^5\,b^{11}\,c^{25}\,d^9\,f^7+11264\,a^5\,b^{11}\,c^{23}\,d^{11}\,f^7+223232\,a^5\,b^{11}\,c^{21}\,d^{13}\,f^7+1275904\,a^5\,b^{11}\,c^{19}\,d^{15}\,f^7+3773952\,a^5\,b^{11}\,c^{17}\,d^{17}\,f^7+6782720\,a^5\,b^{11}\,c^{15}\,d^{19}\,f^7+7900928\,a^5\,b^{11}\,c^{13}\,d^{21}\,f^7+6089472\,a^5\,b^{11}\,c^{11}\,d^{23}\,f^7+3071104\,a^5\,b^{11}\,c^9\,d^{25}\,f^7+966912\,a^5\,b^{11}\,c^7\,d^{27}\,f^7+170240\,a^5\,b^{11}\,c^5\,d^{29}\,f^7+12544\,a^5\,b^{11}\,c^3\,d^{31}\,f^7+64\,a^4\,b^{12}\,c^{26}\,d^8\,f^7-8448\,a^4\,b^{12}\,c^{24}\,d^{10}\,f^7-142080\,a^4\,b^{12}\,c^{22}\,d^{12}\,f^7-843136\,a^4\,b^{12}\,c^{20}\,d^{14}\,f^7-2655744\,a^4\,b^{12}\,c^{18}\,d^{16}\,f^7-5113472\,a^4\,b^{12}\,c^{16}\,d^{18}\,f^7-6382208\,a^4\,b^{12}\,c^{14}\,d^{20}\,f^7-5247360\,a^4\,b^{12}\,c^{12}\,d^{22}\,f^7-2790976\,a^4\,b^{12}\,c^{10}\,d^{24}\,f^7-902784\,a^4\,b^{12}\,c^8\,d^{26}\,f^7-153216\,a^4\,b^{12}\,c^6\,d^{28}\,f^7-8960\,a^4\,b^{12}\,c^4\,d^{30}\,f^7+2816\,a^3\,b^{13}\,c^{25}\,d^9\,f^7+45568\,a^3\,b^{13}\,c^{23}\,d^{11}\,f^7+299264\,a^3\,b^{13}\,c^{21}\,d^{13}\,f^7+1057280\,a^3\,b^{13}\,c^{19}\,d^{15}\,f^7+2257920\,a^3\,b^{13}\,c^{17}\,d^{17}\,f^7+3071488\,a^3\,b^{13}\,c^{15}\,d^{19}\,f^7+2695168\,a^3\,b^{13}\,c^{13}\,d^{21}\,f^7+1488384\,a^3\,b^{13}\,c^{11}\,d^{23}\,f^7+477440\,a^3\,b^{13}\,c^9\,d^{25}\,f^7+71680\,a^3\,b^{13}\,c^7\,d^{27}\,f^7+1792\,a^3\,b^{13}\,c^5\,d^{29}\,f^7-384\,a^2\,b^{14}\,c^{26}\,d^8\,f^7-2496\,a^2\,b^{14}\,c^{24}\,d^{10}\,f^7-29312\,a^2\,b^{14}\,c^{22}\,d^{12}\,f^7-165760\,a^2\,b^{14}\,c^{20}\,d^{14}\,f^7-468608\,a^2\,b^{14}\,c^{18}\,d^{16}\,f^7-754432\,a^2\,b^{14}\,c^{16}\,d^{18}\,f^7-726656\,a^2\,b^{14}\,c^{14}\,d^{20}\,f^7-410752\,a^2\,b^{14}\,c^{12}\,d^{22}\,f^7-120320\,a^2\,b^{14}\,c^{10}\,d^{24}\,f^7-10048\,a^2\,b^{14}\,c^8\,d^{26}\,f^7+1792\,a^2\,b^{14}\,c^6\,d^{28}\,f^7-2688\,a\,b^{15}\,c^{25}\,d^9\,f^7-14336\,a\,b^{15}\,c^{23}\,d^{11}\,f^7-26368\,a\,b^{15}\,c^{21}\,d^{13}\,f^7-8960\,a\,b^{15}\,c^{19}\,d^{15}\,f^7+35840\,a\,b^{15}\,c^{17}\,d^{17}\,f^7+55552\,a\,b^{15}\,c^{15}\,d^{19}\,f^7+30464\,a\,b^{15}\,c^{13}\,d^{21}\,f^7+1792\,a\,b^{15}\,c^{11}\,d^{23}\,f^7-4480\,a\,b^{15}\,c^9\,d^{25}\,f^7-1280\,a\,b^{15}\,c^7\,d^{27}\,f^7+576\,b^{16}\,c^{26}\,d^8\,f^7+3712\,b^{16}\,c^{24}\,d^{10}\,f^7+10112\,b^{16}\,c^{22}\,d^{12}\,f^7+15232\,b^{16}\,c^{20}\,d^{14}\,f^7+14336\,b^{16}\,c^{18}\,d^{16}\,f^7+9856\,b^{16}\,c^{16}\,d^{18}\,f^7+6272\,b^{16}\,c^{14}\,d^{20}\,f^7+3712\,b^{16}\,c^{12}\,d^{22}\,f^7+1472\,b^{16}\,c^{10}\,d^{24}\,f^7+256\,b^{16}\,c^8\,d^{26}\,f^7\right)-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(512\,a^8\,b^9\,d^{36}\,f^8+640\,a^{10}\,b^7\,d^{36}\,f^8-256\,a^{12}\,b^5\,d^{36}\,f^8-384\,a^{14}\,b^3\,d^{36}\,f^8+512\,b^{17}\,c^8\,d^{28}\,f^8+5248\,b^{17}\,c^{10}\,d^{26}\,f^8+23936\,b^{17}\,c^{12}\,d^{24}\,f^8+64000\,b^{17}\,c^{14}\,d^{22}\,f^8+111104\,b^{17}\,c^{16}\,d^{20}\,f^8+130816\,b^{17}\,c^{18}\,d^{18}\,f^8+105728\,b^{17}\,c^{20}\,d^{16}\,f^8+57856\,b^{17}\,c^{22}\,d^{14}\,f^8+20480\,b^{17}\,c^{24}\,d^{12}\,f^8+4224\,b^{17}\,c^{26}\,d^{10}\,f^8+384\,b^{17}\,c^{28}\,d^8\,f^8-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(256\,a^{16}\,b^2\,c^{19}\,d^{18}\,f^9+2304\,a^{16}\,b^2\,c^{17}\,d^{20}\,f^9+9216\,a^{16}\,b^2\,c^{15}\,d^{22}\,f^9+21504\,a^{16}\,b^2\,c^{13}\,d^{24}\,f^9+32256\,a^{16}\,b^2\,c^{11}\,d^{26}\,f^9+32256\,a^{16}\,b^2\,c^9\,d^{28}\,f^9+21504\,a^{16}\,b^2\,c^7\,d^{30}\,f^9+9216\,a^{16}\,b^2\,c^5\,d^{32}\,f^9+2304\,a^{16}\,b^2\,c^3\,d^{34}\,f^9+256\,a^{16}\,b^2\,c\,d^{36}\,f^9-2560\,a^{15}\,b^3\,c^{20}\,d^{17}\,f^9-23552\,a^{15}\,b^3\,c^{18}\,d^{19}\,f^9-96768\,a^{15}\,b^3\,c^{16}\,d^{21}\,f^9-233472\,a^{15}\,b^3\,c^{14}\,d^{23}\,f^9-365568\,a^{15}\,b^3\,c^{12}\,d^{25}\,f^9-387072\,a^{15}\,b^3\,c^{10}\,d^{27}\,f^9-279552\,a^{15}\,b^3\,c^8\,d^{29}\,f^9-135168\,a^{15}\,b^3\,c^6\,d^{31}\,f^9-41472\,a^{15}\,b^3\,c^4\,d^{33}\,f^9-7168\,a^{15}\,b^3\,c^2\,d^{35}\,f^9-512\,a^{15}\,b^3\,d^{37}\,f^9+11520\,a^{14}\,b^4\,c^{21}\,d^{16}\,f^9+109056\,a^{14}\,b^4\,c^{19}\,d^{18}\,f^9+463104\,a^{14}\,b^4\,c^{17}\,d^{20}\,f^9+1161216\,a^{14}\,b^4\,c^{15}\,d^{22}\,f^9+1903104\,a^{14}\,b^4\,c^{13}\,d^{24}\,f^9+2128896\,a^{14}\,b^4\,c^{11}\,d^{26}\,f^9+1645056\,a^{14}\,b^4\,c^9\,d^{28}\,f^9+866304\,a^{14}\,b^4\,c^7\,d^{30}\,f^9+297216\,a^{14}\,b^4\,c^5\,d^{32}\,f^9+59904\,a^{14}\,b^4\,c^3\,d^{34}\,f^9+5376\,a^{14}\,b^4\,c\,d^{36}\,f^9-30720\,a^{13}\,b^5\,c^{22}\,d^{15}\,f^9-301568\,a^{13}\,b^5\,c^{20}\,d^{17}\,f^9-1332224\,a^{13}\,b^5\,c^{18}\,d^{19}\,f^9-3488256\,a^{13}\,b^5\,c^{16}\,d^{21}\,f^9-5996544\,a^{13}\,b^5\,c^{14}\,d^{23}\,f^9-7074816\,a^{13}\,b^5\,c^{12}\,d^{25}\,f^9-5806080\,a^{13}\,b^5\,c^{10}\,d^{27}\,f^9-3277824\,a^{13}\,b^5\,c^8\,d^{29}\,f^9-1222656\,a^{13}\,b^5\,c^6\,d^{31}\,f^9-274944\,a^{13}\,b^5\,c^4\,d^{33}\,f^9-29696\,a^{13}\,b^5\,c^2\,d^{35}\,f^9-512\,a^{13}\,b^5\,d^{37}\,f^9+53760\,a^{12}\,b^6\,c^{23}\,d^{14}\,f^9+552192\,a^{12}\,b^6\,c^{21}\,d^{16}\,f^9+2555904\,a^{12}\,b^6\,c^{19}\,d^{18}\,f^9+7024896\,a^{12}\,b^6\,c^{17}\,d^{20}\,f^9+12708864\,a^{12}\,b^6\,c^{15}\,d^{22}\,f^9+15837696\,a^{12}\,b^6\,c^{13}\,d^{24}\,f^9+13805568\,a^{12}\,b^6\,c^{11}\,d^{26}\,f^9+8354304\,a^{12}\,b^6\,c^9\,d^{28}\,f^9+3396096\,a^{12}\,b^6\,c^7\,d^{30}\,f^9+862464\,a^{12}\,b^6\,c^5\,d^{32}\,f^9+116736\,a^{12}\,b^6\,c^3\,d^{34}\,f^9+5376\,a^{12}\,b^6\,c\,d^{36}\,f^9-64512\,a^{11}\,b^7\,c^{24}\,d^{13}\,f^9-700416\,a^{11}\,b^7\,c^{22}\,d^{15}\,f^9-3424768\,a^{11}\,b^7\,c^{20}\,d^{17}\,f^9-9948160\,a^{11}\,b^7\,c^{18}\,d^{19}\,f^9-19054080\,a^{11}\,b^7\,c^{16}\,d^{21}\,f^9-25227264\,a^{11}\,b^7\,c^{14}\,d^{23}\,f^9-23503872\,a^{11}\,b^7\,c^{12}\,d^{25}\,f^9-15353856\,a^{11}\,b^7\,c^{10}\,d^{27}\,f^9-6850560\,a^{11}\,b^7\,c^8\,d^{29}\,f^9-1966080\,a^{11}\,b^7\,c^6\,d^{31}\,f^9-317952\,a^{11}\,b^7\,c^4\,d^{33}\,f^9-19456\,a^{11}\,b^7\,c^2\,d^{35}\,f^9+512\,a^{11}\,b^7\,d^{37}\,f^9+53760\,a^{10}\,b^8\,c^{25}\,d^{12}\,f^9+623616\,a^{10}\,b^8\,c^{23}\,d^{14}\,f^9+3252480\,a^{10}\,b^8\,c^{21}\,d^{16}\,f^9+10075648\,a^{10}\,b^8\,c^{19}\,d^{18}\,f^9+20604672\,a^{10}\,b^8\,c^{17}\,d^{20}\,f^9+29196288\,a^{10}\,b^8\,c^{15}\,d^{22}\,f^9+29213184\,a^{10}\,b^8\,c^{13}\,d^{24}\,f^9+20579328\,a^{10}\,b^8\,c^{11}\,d^{26}\,f^9+9934848\,a^{10}\,b^8\,c^9\,d^{28}\,f^9+3075072\,a^{10}\,b^8\,c^7\,d^{30}\,f^9+515328\,a^{10}\,b^8\,c^5\,d^{32}\,f^9+19968\,a^{10}\,b^8\,c^3\,d^{34}\,f^9-4352\,a^{10}\,b^8\,c\,d^{36}\,f^9-30720\,a^9\,b^9\,c^{26}\,d^{11}\,f^9-384000\,a^9\,b^9\,c^{24}\,d^{13}\,f^9-2156544\,a^9\,b^9\,c^{22}\,d^{15}\,f^9-7180800\,a^9\,b^9\,c^{20}\,d^{17}\,f^9-15735808\,a^9\,b^9\,c^{18}\,d^{19}\,f^9-23772672\,a^9\,b^9\,c^{16}\,d^{21}\,f^9-25141248\,a^9\,b^9\,c^{14}\,d^{23}\,f^9-18416640\,a^9\,b^9\,c^{12}\,d^{25}\,f^9-8921088\,a^9\,b^9\,c^{10}\,d^{27}\,f^9-2500608\,a^9\,b^9\,c^8\,d^{29}\,f^9-202752\,a^9\,b^9\,c^6\,d^{31}\,f^9+87552\,a^9\,b^9\,c^4\,d^{33}\,f^9+21504\,a^9\,b^9\,c^2\,d^{35}\,f^9+512\,a^9\,b^9\,d^{37}\,f^9+11520\,a^8\,b^{10}\,c^{27}\,d^{10}\,f^9+154368\,a^8\,b^{10}\,c^{25}\,d^{12}\,f^9+924672\,a^8\,b^{10}\,c^{23}\,d^{14}\,f^9+3235584\,a^8\,b^{10}\,c^{21}\,d^{16}\,f^9+7273728\,a^8\,b^{10}\,c^{19}\,d^{18}\,f^9+10847232\,a^8\,b^{10}\,c^{17}\,d^{20}\,f^9+10543104\,a^8\,b^{10}\,c^{15}\,d^{22}\,f^9+5930496\,a^8\,b^{10}\,c^{13}\,d^{24}\,f^9+734976\,a^8\,b^{10}\,c^{11}\,d^{26}\,f^9-1596672\,a^8\,b^{10}\,c^9\,d^{28}\,f^9-1317888\,a^8\,b^{10}\,c^7\,d^{30}\,f^9-478464\,a^8\,b^{10}\,c^5\,d^{32}\,f^9-82176\,a^8\,b^{10}\,c^3\,d^{34}\,f^9-4608\,a^8\,b^{10}\,c\,d^{36}\,f^9-2560\,a^7\,b^{11}\,c^{28}\,d^9\,f^9-33792\,a^7\,b^{11}\,c^{26}\,d^{11}\,f^9-167424\,a^7\,b^{11}\,c^{24}\,d^{13}\,f^9-337920\,a^7\,b^{11}\,c^{22}\,d^{15}\,f^9+202752\,a^7\,b^{11}\,c^{20}\,d^{17}\,f^9+2838528\,a^7\,b^{11}\,c^{18}\,d^{19}\,f^9+7738368\,a^7\,b^{11}\,c^{16}\,d^{21}\,f^9+12165120\,a^7\,b^{11}\,c^{14}\,d^{23}\,f^9+12621312\,a^7\,b^{11}\,c^{12}\,d^{25}\,f^9+8932352\,a^7\,b^{11}\,c^{10}\,d^{27}\,f^9+4274688\,a^7\,b^{11}\,c^8\,d^{29}\,f^9+1320960\,a^7\,b^{11}\,c^6\,d^{31}\,f^9+236544\,a^7\,b^{11}\,c^4\,d^{33}\,f^9+18432\,a^7\,b^{11}\,c^2\,d^{35}\,f^9+256\,a^6\,b^{12}\,c^{29}\,d^8\,f^9+512\,a^6\,b^{12}\,c^{27}\,d^{10}\,f^9-85248\,a^6\,b^{12}\,c^{25}\,d^{12}\,f^9-844800\,a^6\,b^{12}\,c^{23}\,d^{14}\,f^9-3852288\,a^6\,b^{12}\,c^{21}\,d^{16}\,f^9-10644480\,a^6\,b^{12}\,c^{19}\,d^{18}\,f^9-19751424\,a^6\,b^{12}\,c^{17}\,d^{20}\,f^9-25817088\,a^6\,b^{12}\,c^{15}\,d^{22}\,f^9-24254208\,a^6\,b^{12}\,c^{13}\,d^{24}\,f^9-16383488\,a^6\,b^{12}\,c^{11}\,d^{26}\,f^9-7803136\,a^6\,b^{12}\,c^9\,d^{28}\,f^9-2497536\,a^6\,b^{12}\,c^7\,d^{30}\,f^9-483840\,a^6\,b^{12}\,c^5\,d^{32}\,f^9-43008\,a^6\,b^{12}\,c^3\,d^{34}\,f^9+1536\,a^5\,b^{13}\,c^{28}\,d^9\,f^9+89088\,a^5\,b^{13}\,c^{26}\,d^{11}\,f^9+840192\,a^5\,b^{13}\,c^{24}\,d^{13}\,f^9+3870720\,a^5\,b^{13}\,c^{22}\,d^{15}\,f^9+10967040\,a^5\,b^{13}\,c^{20}\,d^{17}\,f^9+21030912\,a^5\,b^{13}\,c^{18}\,d^{19}\,f^9+28578816\,a^5\,b^{13}\,c^{16}\,d^{21}\,f^9+28053504\,a^5\,b^{13}\,c^{14}\,d^{23}\,f^9+19883520\,a^5\,b^{13}\,c^{12}\,d^{25}\,f^9+9968640\,a^5\,b^{13}\,c^{10}\,d^{27}\,f^9+3365376\,a^5\,b^{13}\,c^8\,d^{29}\,f^9+688128\,a^5\,b^{13}\,c^6\,d^{31}\,f^9+64512\,a^5\,b^{13}\,c^4\,d^{33}\,f^9-256\,a^4\,b^{14}\,c^{29}\,d^8\,f^9-40960\,a^4\,b^{14}\,c^{27}\,d^{10}\,f^9-450816\,a^4\,b^{14}\,c^{25}\,d^{12}\,f^9-2320896\,a^4\,b^{14}\,c^{23}\,d^{14}\,f^9-7233024\,a^4\,b^{14}\,c^{21}\,d^{16}\,f^9-15095808\,a^4\,b^{14}\,c^{19}\,d^{18}\,f^9-22116864\,a^4\,b^{14}\,c^{17}\,d^{20}\,f^9-23190528\,a^4\,b^{14}\,c^{15}\,d^{22}\,f^9-17392896\,a^4\,b^{14}\,c^{13}\,d^{24}\,f^9-9140224\,a^4\,b^{14}\,c^{11}\,d^{26}\,f^9-3204352\,a^4\,b^{14}\,c^9\,d^{28}\,f^9-674304\,a^4\,b^{14}\,c^7\,d^{30}\,f^9-64512\,a^4\,b^{14}\,c^5\,d^{32}\,f^9+10752\,a^3\,b^{15}\,c^{28}\,d^9\,f^9+156672\,a^3\,b^{15}\,c^{26}\,d^{11}\,f^9+969216\,a^3\,b^{15}\,c^{24}\,d^{13}\,f^9+3446784\,a^3\,b^{15}\,c^{22}\,d^{15}\,f^9+7934976\,a^3\,b^{15}\,c^{20}\,d^{17}\,f^9+12515328\,a^3\,b^{15}\,c^{18}\,d^{19}\,f^9+13870080\,a^3\,b^{15}\,c^{16}\,d^{21}\,f^9+10838016\,a^3\,b^{15}\,c^{14}\,d^{23}\,f^9+5865984\,a^3\,b^{15}\,c^{12}\,d^{25}\,f^9+2098176\,a^3\,b^{15}\,c^{10}\,d^{27}\,f^9+446976\,a^3\,b^{15}\,c^8\,d^{29}\,f^9+43008\,a^3\,b^{15}\,c^6\,d^{31}\,f^9-1280\,a^2\,b^{16}\,c^{29}\,d^8\,f^9-37376\,a^2\,b^{16}\,c^{27}\,d^{10}\,f^9-297216\,a^2\,b^{16}\,c^{25}\,d^{12}\,f^9-1204224\,a^2\,b^{16}\,c^{23}\,d^{14}\,f^9-2996736\,a^2\,b^{16}\,c^{21}\,d^{16}\,f^9-4967424\,a^2\,b^{16}\,c^{19}\,d^{18}\,f^9-5687808\,a^2\,b^{16}\,c^{17}\,d^{20}\,f^9-4540416\,a^2\,b^{16}\,c^{15}\,d^{22}\,f^9-2490624\,a^2\,b^{16}\,c^{13}\,d^{24}\,f^9-897536\,a^2\,b^{16}\,c^{11}\,d^{26}\,f^9-191744\,a^2\,b^{16}\,c^9\,d^{28}\,f^9-18432\,a^2\,b^{16}\,c^7\,d^{30}\,f^9+6656\,a\,b^{17}\,c^{28}\,d^9\,f^9+64512\,a\,b^{17}\,c^{26}\,d^{11}\,f^9+281088\,a\,b^{17}\,c^{24}\,d^{13}\,f^9+724992\,a\,b^{17}\,c^{22}\,d^{15}\,f^9+1225728\,a\,b^{17}\,c^{20}\,d^{17}\,f^9+1419264\,a\,b^{17}\,c^{18}\,d^{19}\,f^9+1139712\,a\,b^{17}\,c^{16}\,d^{21}\,f^9+626688\,a\,b^{17}\,c^{14}\,d^{23}\,f^9+225792\,a\,b^{17}\,c^{12}\,d^{25}\,f^9+48128\,a\,b^{17}\,c^{10}\,d^{27}\,f^9+4608\,a\,b^{17}\,c^8\,d^{29}\,f^9-768\,b^{18}\,c^{29}\,d^8\,f^9-7424\,b^{18}\,c^{27}\,d^{10}\,f^9-32256\,b^{18}\,c^{25}\,d^{12}\,f^9-82944\,b^{18}\,c^{23}\,d^{14}\,f^9-139776\,b^{18}\,c^{21}\,d^{16}\,f^9-161280\,b^{18}\,c^{19}\,d^{18}\,f^9-129024\,b^{18}\,c^{17}\,d^{20}\,f^9-70656\,b^{18}\,c^{15}\,d^{22}\,f^9-25344\,b^{18}\,c^{13}\,d^{24}\,f^9-5376\,b^{18}\,c^{11}\,d^{26}\,f^9-512\,b^{18}\,c^9\,d^{28}\,f^9\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}+14336\,a^2\,b^{15}\,c^6\,d^{30}\,f^8+149632\,a^2\,b^{15}\,c^8\,d^{28}\,f^8+697984\,a^2\,b^{15}\,c^{10}\,d^{26}\,f^8+1918208\,a^2\,b^{15}\,c^{12}\,d^{24}\,f^8+3443200\,a^2\,b^{15}\,c^{14}\,d^{22}\,f^8+4223744\,a^2\,b^{15}\,c^{16}\,d^{20}\,f^8+3592960\,a^2\,b^{15}\,c^{18}\,d^{18}\,f^8+2100224\,a^2\,b^{15}\,c^{20}\,d^{16}\,f^8+813568\,a^2\,b^{15}\,c^{22}\,d^{14}\,f^8+192640\,a^2\,b^{15}\,c^{24}\,d^{12}\,f^8+23168\,a^2\,b^{15}\,c^{26}\,d^{10}\,f^8+768\,a^2\,b^{15}\,c^{28}\,d^8\,f^8-28672\,a^3\,b^{14}\,c^5\,d^{31}\,f^8-306176\,a^3\,b^{14}\,c^7\,d^{29}\,f^8-1470720\,a^3\,b^{14}\,c^9\,d^{27}\,f^8-4191232\,a^3\,b^{14}\,c^{11}\,d^{25}\,f^8-7863296\,a^3\,b^{14}\,c^{13}\,d^{23}\,f^8-10178560\,a^3\,b^{14}\,c^{15}\,d^{21}\,f^8-9250304\,a^3\,b^{14}\,c^{17}\,d^{19}\,f^8-5877760\,a^3\,b^{14}\,c^{19}\,d^{17}\,f^8-2542592\,a^3\,b^{14}\,c^{21}\,d^{15}\,f^8-705536\,a^3\,b^{14}\,c^{23}\,d^{13}\,f^8-110848\,a^3\,b^{14}\,c^{25}\,d^{11}\,f^8-7168\,a^3\,b^{14}\,c^{27}\,d^9\,f^8+35840\,a^4\,b^{13}\,c^4\,d^{32}\,f^8+399616\,a^4\,b^{13}\,c^6\,d^{30}\,f^8+2024960\,a^4\,b^{13}\,c^8\,d^{28}\,f^8+6144896\,a^4\,b^{13}\,c^{10}\,d^{26}\,f^8+12387712\,a^4\,b^{13}\,c^{12}\,d^{24}\,f^8+17392640\,a^4\,b^{13}\,c^{14}\,d^{22}\,f^8+17328640\,a^4\,b^{13}\,c^{16}\,d^{20}\,f^8+12233984\,a^4\,b^{13}\,c^{18}\,d^{18}\,f^8+5990656\,a^4\,b^{13}\,c^{20}\,d^{16}\,f^8+1937152\,a^4\,b^{13}\,c^{22}\,d^{14}\,f^8+373760\,a^4\,b^{13}\,c^{24}\,d^{12}\,f^8+33664\,a^4\,b^{13}\,c^{26}\,d^{10}\,f^8+384\,a^4\,b^{13}\,c^{28}\,d^8\,f^8-28672\,a^5\,b^{12}\,c^3\,d^{33}\,f^8-347648\,a^5\,b^{12}\,c^5\,d^{31}\,f^8-1933312\,a^5\,b^{12}\,c^7\,d^{29}\,f^8-6470400\,a^5\,b^{12}\,c^9\,d^{27}\,f^8-14423552\,a^5\,b^{12}\,c^{11}\,d^{25}\,f^8-22435840\,a^5\,b^{12}\,c^{13}\,d^{23}\,f^8-24829952\,a^5\,b^{12}\,c^{15}\,d^{21}\,f^8-19565056\,a^5\,b^{12}\,c^{17}\,d^{19}\,f^8-10787840\,a^5\,b^{12}\,c^{19}\,d^{17}\,f^8-3994112\,a^5\,b^{12}\,c^{21}\,d^{15}\,f^8-913408\,a^5\,b^{12}\,c^{23}\,d^{13}\,f^8-107264\,a^5\,b^{12}\,c^{25}\,d^{11}\,f^8-3584\,a^5\,b^{12}\,c^{27}\,d^9\,f^8+14336\,a^6\,b^{11}\,c^2\,d^{34}\,f^8+206080\,a^6\,b^{11}\,c^4\,d^{32}\,f^8+1331456\,a^6\,b^{11}\,c^6\,d^{30}\,f^8+5086848\,a^6\,b^{11}\,c^8\,d^{28}\,f^8+12775808\,a^6\,b^{11}\,c^{10}\,d^{26}\,f^8+22202368\,a^6\,b^{11}\,c^{12}\,d^{24}\,f^8+27345920\,a^6\,b^{11}\,c^{14}\,d^{22}\,f^8+24000256\,a^6\,b^{11}\,c^{16}\,d^{20}\,f^8+14835968\,a^6\,b^{11}\,c^{18}\,d^{18}\,f^8+6252288\,a^6\,b^{11}\,c^{20}\,d^{16}\,f^8+1681152\,a^6\,b^{11}\,c^{22}\,d^{14}\,f^8+251520\,a^6\,b^{11}\,c^{24}\,d^{12}\,f^8+14720\,a^6\,b^{11}\,c^{26}\,d^{10}\,f^8-84992\,a^7\,b^{10}\,c^3\,d^{33}\,f^8-675328\,a^7\,b^{10}\,c^5\,d^{31}\,f^8-2989056\,a^7\,b^{10}\,c^7\,d^{29}\,f^8-8482560\,a^7\,b^{10}\,c^9\,d^{27}\,f^8-16490496\,a^7\,b^{10}\,c^{11}\,d^{25}\,f^8-22665216\,a^7\,b^{10}\,c^{13}\,d^{23}\,f^8-22253568\,a^7\,b^{10}\,c^{15}\,d^{21}\,f^8-15499776\,a^7\,b^{10}\,c^{17}\,d^{19}\,f^8-7459840\,a^7\,b^{10}\,c^{19}\,d^{17}\,f^8-2347520\,a^7\,b^{10}\,c^{21}\,d^{15}\,f^8-431104\,a^7\,b^{10}\,c^{23}\,d^{13}\,f^8-34560\,a^7\,b^{10}\,c^{25}\,d^{11}\,f^8+25216\,a^8\,b^9\,c^2\,d^{34}\,f^8+245120\,a^8\,b^9\,c^4\,d^{32}\,f^8+1231104\,a^8\,b^9\,c^6\,d^{30}\,f^8+3931392\,a^8\,b^9\,c^8\,d^{28}\,f^8+8630016\,a^8\,b^9\,c^{10}\,d^{26}\,f^8+13445376\,a^8\,b^9\,c^{12}\,d^{24}\,f^8+15006720\,a^8\,b^9\,c^{14}\,d^{22}\,f^8+11917824\,a^8\,b^9\,c^{16}\,d^{20}\,f^8+6572672\,a^8\,b^9\,c^{18}\,d^{18}\,f^8+2391424\,a^8\,b^9\,c^{20}\,d^{16}\,f^8+515840\,a^8\,b^9\,c^{22}\,d^{14}\,f^8+49920\,a^8\,b^9\,c^{24}\,d^{12}\,f^8-53760\,a^9\,b^8\,c^3\,d^{33}\,f^8-282112\,a^9\,b^8\,c^5\,d^{31}\,f^8-1009664\,a^9\,b^8\,c^7\,d^{29}\,f^8-2598400\,a^9\,b^8\,c^9\,d^{27}\,f^8-4809728\,a^9\,b^8\,c^{11}\,d^{25}\,f^8-6350848\,a^9\,b^8\,c^{13}\,d^{23}\,f^8-5906432\,a^9\,b^8\,c^{15}\,d^{21}\,f^8-3775744\,a^9\,b^8\,c^{17}\,d^{19}\,f^8-1579520\,a^9\,b^8\,c^{19}\,d^{17}\,f^8-389632\,a^9\,b^8\,c^{21}\,d^{15}\,f^8-43008\,a^9\,b^8\,c^{23}\,d^{13}\,f^8+2176\,a^{10}\,b^7\,c^2\,d^{34}\,f^8-12800\,a^{10}\,b^7\,c^4\,d^{32}\,f^8-87808\,a^{10}\,b^7\,c^6\,d^{30}\,f^8-191744\,a^{10}\,b^7\,c^8\,d^{28}\,f^8-120064\,a^{10}\,b^7\,c^{10}\,d^{26}\,f^8+254464\,a^{10}\,b^7\,c^{12}\,d^{24}\,f^8+650240\,a^{10}\,b^7\,c^{14}\,d^{22}\,f^8+679552\,a^{10}\,b^7\,c^{16}\,d^{20}\,f^8+391296\,a^{10}\,b^7\,c^{18}\,d^{18}\,f^8+121856\,a^{10}\,b^7\,c^{20}\,d^{16}\,f^8+16128\,a^{10}\,b^7\,c^{22}\,d^{14}\,f^8+34816\,a^{11}\,b^6\,c^3\,d^{33}\,f^8+221696\,a^{11}\,b^6\,c^5\,d^{31}\,f^8+735232\,a^{11}\,b^6\,c^7\,d^{29}\,f^8+1487360\,a^{11}\,b^6\,c^9\,d^{27}\,f^8+1964032\,a^{11}\,b^6\,c^{11}\,d^{25}\,f^8+1734656\,a^{11}\,b^6\,c^{13}\,d^{23}\,f^8+1017856\,a^{11}\,b^6\,c^{15}\,d^{21}\,f^8+380672\,a^{11}\,b^6\,c^{17}\,d^{19}\,f^8+81920\,a^{11}\,b^6\,c^{19}\,d^{17}\,f^8+7680\,a^{11}\,b^6\,c^{21}\,d^{15}\,f^8-13952\,a^{12}\,b^5\,c^2\,d^{34}\,f^8-115840\,a^{12}\,b^5\,c^4\,d^{32}\,f^8-455168\,a^{12}\,b^5\,c^6\,d^{30}\,f^8-1060864\,a^{12}\,b^5\,c^8\,d^{28}\,f^8-1600256\,a^{12}\,b^5\,c^{10}\,d^{26}\,f^8-1614592\,a^{12}\,b^5\,c^{12}\,d^{24}\,f^8-1088000\,a^{12}\,b^5\,c^{14}\,d^{22}\,f^8-471808\,a^{12}\,b^5\,c^{16}\,d^{20}\,f^8-119424\,a^{12}\,b^5\,c^{18}\,d^{18}\,f^8-13440\,a^{12}\,b^5\,c^{20}\,d^{16}\,f^8+34304\,a^{13}\,b^4\,c^3\,d^{33}\,f^8+154624\,a^{13}\,b^4\,c^5\,d^{31}\,f^8+401408\,a^{13}\,b^4\,c^7\,d^{29}\,f^8+663040\,a^{13}\,b^4\,c^9\,d^{27}\,f^8+723968\,a^{13}\,b^4\,c^{11}\,d^{25}\,f^8+523264\,a^{13}\,b^4\,c^{13}\,d^{23}\,f^8+241664\,a^{13}\,b^4\,c^{15}\,d^{21}\,f^8+64768\,a^{13}\,b^4\,c^{17}\,d^{19}\,f^8+7680\,a^{13}\,b^4\,c^{19}\,d^{17}\,f^8-5248\,a^{14}\,b^3\,c^2\,d^{34}\,f^8-28160\,a^{14}\,b^3\,c^4\,d^{32}\,f^8-82432\,a^{14}\,b^3\,c^6\,d^{30}\,f^8-148736\,a^{14}\,b^3\,c^8\,d^{28}\,f^8-173824\,a^{14}\,b^3\,c^{10}\,d^{26}\,f^8-132608\,a^{14}\,b^3\,c^{12}\,d^{24}\,f^8-64000\,a^{14}\,b^3\,c^{14}\,d^{22}\,f^8-17792\,a^{14}\,b^3\,c^{16}\,d^{20}\,f^8-2176\,a^{14}\,b^3\,c^{18}\,d^{18}\,f^8+2048\,a^{15}\,b^2\,c^3\,d^{33}\,f^8+7168\,a^{15}\,b^2\,c^5\,d^{31}\,f^8+14336\,a^{15}\,b^2\,c^7\,d^{29}\,f^8+17920\,a^{15}\,b^2\,c^9\,d^{27}\,f^8+14336\,a^{15}\,b^2\,c^{11}\,d^{25}\,f^8+7168\,a^{15}\,b^2\,c^{13}\,d^{23}\,f^8+2048\,a^{15}\,b^2\,c^{15}\,d^{21}\,f^8+256\,a^{15}\,b^2\,c^{17}\,d^{19}\,f^8-4096\,a\,b^{16}\,c^7\,d^{29}\,f^8-42240\,a\,b^{16}\,c^9\,d^{27}\,f^8-194048\,a\,b^{16}\,c^{11}\,d^{25}\,f^8-523264\,a\,b^{16}\,c^{13}\,d^{23}\,f^8-917504\,a\,b^{16}\,c^{15}\,d^{21}\,f^8-1093120\,a\,b^{16}\,c^{17}\,d^{19}\,f^8-896000\,a\,b^{16}\,c^{19}\,d^{17}\,f^8-498688\,a\,b^{16}\,c^{21}\,d^{15}\,f^8-180224\,a\,b^{16}\,c^{23}\,d^{13}\,f^8-38144\,a\,b^{16}\,c^{25}\,d^{11}\,f^8-3584\,a\,b^{16}\,c^{27}\,d^9\,f^8-4096\,a^7\,b^{10}\,c\,d^{35}\,f^8-5376\,a^9\,b^8\,c\,d^{35}\,f^8+1792\,a^{11}\,b^6\,c\,d^{35}\,f^8+3328\,a^{13}\,b^4\,c\,d^{35}\,f^8+256\,a^{15}\,b^2\,c\,d^{35}\,f^8\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}-128\,a^7\,b^8\,d^{33}\,f^6+32\,a^{11}\,b^4\,d^{33}\,f^6+32\,a^{13}\,b^2\,d^{33}\,f^6+128\,b^{15}\,c^7\,d^{26}\,f^6+128\,b^{15}\,c^9\,d^{24}\,f^6-2592\,b^{15}\,c^{11}\,d^{22}\,f^6-10976\,b^{15}\,c^{13}\,d^{20}\,f^6-20384\,b^{15}\,c^{15}\,d^{18}\,f^6-20832\,b^{15}\,c^{17}\,d^{16}\,f^6-11872\,b^{15}\,c^{19}\,d^{14}\,f^6-3232\,b^{15}\,c^{21}\,d^{12}\,f^6-96\,b^{15}\,c^{23}\,d^{10}\,f^6+96\,b^{15}\,c^{25}\,d^8\,f^6+2688\,a^2\,b^{13}\,c^5\,d^{28}\,f^6+6272\,a^2\,b^{13}\,c^7\,d^{26}\,f^6-34016\,a^2\,b^{13}\,c^9\,d^{24}\,f^6-187968\,a^2\,b^{13}\,c^{11}\,d^{22}\,f^6-400960\,a^2\,b^{13}\,c^{13}\,d^{20}\,f^6-476224\,a^2\,b^{13}\,c^{15}\,d^{18}\,f^6-338688\,a^2\,b^{13}\,c^{17}\,d^{16}\,f^6-142016\,a^2\,b^{13}\,c^{19}\,d^{14}\,f^6-31808\,a^2\,b^{13}\,c^{21}\,d^{12}\,f^6-2880\,a^2\,b^{13}\,c^{23}\,d^{10}\,f^6-32\,a^2\,b^{13}\,c^{25}\,d^8\,f^6-4480\,a^3\,b^{12}\,c^4\,d^{29}\,f^6-15232\,a^3\,b^{12}\,c^6\,d^{27}\,f^6+30368\,a^3\,b^{12}\,c^8\,d^{25}\,f^6+263104\,a^3\,b^{12}\,c^{10}\,d^{23}\,f^6+652736\,a^3\,b^{12}\,c^{12}\,d^{21}\,f^6+882112\,a^3\,b^{12}\,c^{14}\,d^{19}\,f^6+723968\,a^3\,b^{12}\,c^{16}\,d^{17}\,f^6+363328\,a^3\,b^{12}\,c^{18}\,d^{15}\,f^6+104384\,a^3\,b^{12}\,c^{20}\,d^{13}\,f^6+14016\,a^3\,b^{12}\,c^{22}\,d^{11}\,f^6+352\,a^3\,b^{12}\,c^{24}\,d^9\,f^6+4480\,a^4\,b^{11}\,c^3\,d^{30}\,f^6+22400\,a^4\,b^{11}\,c^5\,d^{28}\,f^6+7360\,a^4\,b^{11}\,c^7\,d^{26}\,f^6-201120\,a^4\,b^{11}\,c^9\,d^{24}\,f^6-673120\,a^4\,b^{11}\,c^{11}\,d^{22}\,f^6-1096480\,a^4\,b^{11}\,c^{13}\,d^{20}\,f^6-1058400\,a^4\,b^{11}\,c^{15}\,d^{18}\,f^6-623840\,a^4\,b^{11}\,c^{17}\,d^{16}\,f^6-213920\,a^4\,b^{11}\,c^{19}\,d^{14}\,f^6-36320\,a^4\,b^{11}\,c^{21}\,d^{12}\,f^6-1760\,a^4\,b^{11}\,c^{23}\,d^{10}\,f^6-2688\,a^5\,b^{10}\,c^2\,d^{31}\,f^6-20608\,a^5\,b^{10}\,c^4\,d^{29}\,f^6-38976\,a^5\,b^{10}\,c^6\,d^{27}\,f^6+83680\,a^5\,b^{10}\,c^8\,d^{25}\,f^6+510496\,a^5\,b^{10}\,c^{10}\,d^{23}\,f^6+1042272\,a^5\,b^{10}\,c^{12}\,d^{21}\,f^6+1178912\,a^5\,b^{10}\,c^{14}\,d^{19}\,f^6+799904\,a^5\,b^{10}\,c^{16}\,d^{17}\,f^6+319200\,a^5\,b^{10}\,c^{18}\,d^{15}\,f^6+66976\,a^5\,b^{10}\,c^{20}\,d^{13}\,f^6+5280\,a^5\,b^{10}\,c^{22}\,d^{11}\,f^6+11648\,a^6\,b^9\,c^3\,d^{30}\,f^6+31808\,a^6\,b^9\,c^5\,d^{28}\,f^6-38784\,a^6\,b^9\,c^7\,d^{26}\,f^6-371840\,a^6\,b^9\,c^9\,d^{24}\,f^6-877184\,a^6\,b^9\,c^{11}\,d^{22}\,f^6-1112832\,a^6\,b^9\,c^{13}\,d^{20}\,f^6-848512\,a^6\,b^9\,c^{15}\,d^{18}\,f^6-388864\,a^6\,b^9\,c^{17}\,d^{16}\,f^6-98560\,a^6\,b^9\,c^{19}\,d^{14}\,f^6-10560\,a^6\,b^9\,c^{21}\,d^{12}\,f^6-3712\,a^7\,b^8\,c^2\,d^{31}\,f^6-8384\,a^7\,b^8\,c^4\,d^{29}\,f^6+49280\,a^7\,b^8\,c^6\,d^{27}\,f^6+294784\,a^7\,b^8\,c^8\,d^{25}\,f^6+699776\,a^7\,b^8\,c^{10}\,d^{23}\,f^6+947968\,a^7\,b^8\,c^{12}\,d^{21}\,f^6+791936\,a^7\,b^8\,c^{14}\,d^{19}\,f^6+405760\,a^7\,b^8\,c^{16}\,d^{17}\,f^6+117504\,a^7\,b^8\,c^{18}\,d^{15}\,f^6+14784\,a^7\,b^8\,c^{20}\,d^{13}\,f^6-2208\,a^8\,b^7\,c^3\,d^{30}\,f^6-44576\,a^8\,b^7\,c^5\,d^{28}\,f^6-207200\,a^8\,b^7\,c^7\,d^{26}\,f^6-495264\,a^8\,b^7\,c^9\,d^{24}\,f^6-709408\,a^8\,b^7\,c^{11}\,d^{22}\,f^6-635488\,a^8\,b^7\,c^{13}\,d^{20}\,f^6-350496\,a^8\,b^7\,c^{15}\,d^{18}\,f^6-109280\,a^8\,b^7\,c^{17}\,d^{16}\,f^6-14784\,a^8\,b^7\,c^{19}\,d^{14}\,f^6+1760\,a^9\,b^6\,c^2\,d^{31}\,f^6+22880\,a^9\,b^6\,c^4\,d^{29}\,f^6+110880\,a^9\,b^6\,c^6\,d^{27}\,f^6+283360\,a^9\,b^6\,c^8\,d^{25}\,f^6+431200\,a^9\,b^6\,c^{10}\,d^{23}\,f^6+406560\,a^9\,b^6\,c^{12}\,d^{21}\,f^6+234080\,a^9\,b^6\,c^{14}\,d^{19}\,f^6+75680\,a^9\,b^6\,c^{16}\,d^{17}\,f^6+10560\,a^9\,b^6\,c^{18}\,d^{15}\,f^6-7744\,a^{10}\,b^5\,c^3\,d^{30}\,f^6-44352\,a^{10}\,b^5\,c^5\,d^{28}\,f^6-123200\,a^{10}\,b^5\,c^7\,d^{26}\,f^6-197120\,a^{10}\,b^5\,c^9\,d^{24}\,f^6-192192\,a^{10}\,b^5\,c^{11}\,d^{22}\,f^6-113344\,a^{10}\,b^5\,c^{13}\,d^{20}\,f^6-37312\,a^{10}\,b^5\,c^{15}\,d^{18}\,f^6-5280\,a^{10}\,b^5\,c^{17}\,d^{16}\,f^6+1984\,a^{11}\,b^4\,c^2\,d^{31}\,f^6+12992\,a^{11}\,b^4\,c^4\,d^{29}\,f^6+38080\,a^{11}\,b^4\,c^6\,d^{27}\,f^6+62720\,a^{11}\,b^4\,c^8\,d^{25}\,f^6+62272\,a^{11}\,b^4\,c^{10}\,d^{23}\,f^6+37184\,a^{11}\,b^4\,c^{12}\,d^{21}\,f^6+12352\,a^{11}\,b^4\,c^{14}\,d^{19}\,f^6+1760\,a^{11}\,b^4\,c^{16}\,d^{17}\,f^6-2464\,a^{12}\,b^3\,c^3\,d^{30}\,f^6-7392\,a^{12}\,b^3\,c^5\,d^{28}\,f^6-12320\,a^{12}\,b^3\,c^7\,d^{26}\,f^6-12320\,a^{12}\,b^3\,c^9\,d^{24}\,f^6-7392\,a^{12}\,b^3\,c^{11}\,d^{22}\,f^6-2464\,a^{12}\,b^3\,c^{13}\,d^{20}\,f^6-352\,a^{12}\,b^3\,c^{15}\,d^{18}\,f^6+224\,a^{13}\,b^2\,c^2\,d^{31}\,f^6+672\,a^{13}\,b^2\,c^4\,d^{29}\,f^6+1120\,a^{13}\,b^2\,c^6\,d^{27}\,f^6+1120\,a^{13}\,b^2\,c^8\,d^{25}\,f^6+672\,a^{13}\,b^2\,c^{10}\,d^{23}\,f^6+224\,a^{13}\,b^2\,c^{12}\,d^{21}\,f^6+32\,a^{13}\,b^2\,c^{14}\,d^{19}\,f^6-896\,a\,b^{14}\,c^6\,d^{27}\,f^6-1408\,a\,b^{14}\,c^8\,d^{25}\,f^6+15200\,a\,b^{14}\,c^{10}\,d^{23}\,f^6+70560\,a\,b^{14}\,c^{12}\,d^{21}\,f^6+138208\,a\,b^{14}\,c^{14}\,d^{19}\,f^6+150304\,a\,b^{14}\,c^{16}\,d^{17}\,f^6+94752\,a\,b^{14}\,c^{18}\,d^{15}\,f^6+32480\,a\,b^{14}\,c^{20}\,d^{13}\,f^6+4640\,a\,b^{14}\,c^{22}\,d^{11}\,f^6-32\,a\,b^{14}\,c^{24}\,d^9\,f^6+896\,a^6\,b^9\,c\,d^{32}\,f^6+512\,a^8\,b^7\,c\,d^{32}\,f^6-352\,a^{10}\,b^5\,c\,d^{32}\,f^6-352\,a^{12}\,b^3\,c\,d^{32}\,f^6\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}\right)}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,2{}\mathrm{i}}{f\,a^5\,d^3-3\,f\,a^4\,b\,c\,d^2+3\,f\,a^3\,b^2\,c^2\,d+f\,a^3\,b^2\,d^3-f\,a^2\,b^3\,c^3-3\,f\,a^2\,b^3\,c\,d^2+3\,f\,a\,b^4\,c^2\,d-f\,b^5\,c^3}-\frac{2\,d^2}{f\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-b\,c^3+a\,c^2\,d-b\,c\,d^2+a\,d^3\right)}","Not used",1,"(log(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/2 + 512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/2 + (c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7)))/2 + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/2 + (c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2))/2 + (log(((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/2 + 512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/2 + (c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7)))/2 + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/2 + (c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(a^4*c^6*f^4 + a^4*d^6*f^4 + b^4*c^6*f^4 + b^4*d^6*f^4 + 2*a^2*b^2*c^6*f^4 + 2*a^2*b^2*d^6*f^4 + 3*a^4*c^2*d^4*f^4 + 3*a^4*c^4*d^2*f^4 + 3*b^4*c^2*d^4*f^4 + 3*b^4*c^4*d^2*f^4 + 6*a^2*b^2*c^2*d^4*f^4 + 6*a^2*b^2*c^4*d^2*f^4))^(1/2))/2 - log((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*((((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*(512*a^8*b^9*d^36*f^8 - (((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9) + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8) - (c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7)) + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6) - (c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) - a^2*c^3*f^2 + b^2*c^3*f^2 + 3*a^2*c*d^2*f^2 - 3*b^2*c*d^2*f^2 - 2*a*b*d^3*f^2 + 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2) - log((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*((-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*(512*a^8*b^9*d^36*f^8 - (-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9) + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8) - (c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7)) + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6) - (c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5))*(-((2*a^2*b^2*d^6*f^4 - b^4*d^6*f^4 - 4*a^2*b^2*c^6*f^4 - a^4*d^6*f^4 + 6*a^4*c^2*d^4*f^4 - 9*a^4*c^4*d^2*f^4 + 6*b^4*c^2*d^4*f^4 - 9*b^4*c^4*d^2*f^4 - 48*a^2*b^2*c^2*d^4*f^4 + 42*a^2*b^2*c^4*d^2*f^4 + 12*a*b^3*c*d^5*f^4 + 12*a*b^3*c^5*d*f^4 - 12*a^3*b*c*d^5*f^4 - 12*a^3*b*c^5*d*f^4 - 40*a*b^3*c^3*d^3*f^4 + 40*a^3*b*c^3*d^3*f^4)^(1/2) + a^2*c^3*f^2 - b^2*c^3*f^2 - 3*a^2*c*d^2*f^2 + 3*b^2*c*d^2*f^2 + 2*a*b*d^3*f^2 - 6*a*b*c^2*d*f^2)/(4*a^4*c^6*f^4 + 4*a^4*d^6*f^4 + 4*b^4*c^6*f^4 + 4*b^4*d^6*f^4 + 8*a^2*b^2*c^6*f^4 + 8*a^2*b^2*d^6*f^4 + 12*a^4*c^2*d^4*f^4 + 12*a^4*c^4*d^2*f^4 + 12*b^4*c^2*d^4*f^4 + 12*b^4*c^4*d^2*f^4 + 24*a^2*b^2*c^2*d^4*f^4 + 24*a^2*b^2*c^4*d^2*f^4))^(1/2) - (atan((((-b^5*(a*d - b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5) + ((-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7) + ((-b^5*(a*d - b*c)^3)^(1/2)*(512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + ((-b^5*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a*d - b*c)^3)^(1/2))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*1i)/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + ((-b^5*(a*d - b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5) + ((-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7) - ((-b^5*(a*d - b*c)^3)^(1/2)*(512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 - ((-b^5*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a*d - b*c)^3)^(1/2))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) - 128*a^7*b^8*d^33*f^6 + 32*a^11*b^4*d^33*f^6 + 32*a^13*b^2*d^33*f^6 + 128*b^15*c^7*d^26*f^6 + 128*b^15*c^9*d^24*f^6 - 2592*b^15*c^11*d^22*f^6 - 10976*b^15*c^13*d^20*f^6 - 20384*b^15*c^15*d^18*f^6 - 20832*b^15*c^17*d^16*f^6 - 11872*b^15*c^19*d^14*f^6 - 3232*b^15*c^21*d^12*f^6 - 96*b^15*c^23*d^10*f^6 + 96*b^15*c^25*d^8*f^6 + 2688*a^2*b^13*c^5*d^28*f^6 + 6272*a^2*b^13*c^7*d^26*f^6 - 34016*a^2*b^13*c^9*d^24*f^6 - 187968*a^2*b^13*c^11*d^22*f^6 - 400960*a^2*b^13*c^13*d^20*f^6 - 476224*a^2*b^13*c^15*d^18*f^6 - 338688*a^2*b^13*c^17*d^16*f^6 - 142016*a^2*b^13*c^19*d^14*f^6 - 31808*a^2*b^13*c^21*d^12*f^6 - 2880*a^2*b^13*c^23*d^10*f^6 - 32*a^2*b^13*c^25*d^8*f^6 - 4480*a^3*b^12*c^4*d^29*f^6 - 15232*a^3*b^12*c^6*d^27*f^6 + 30368*a^3*b^12*c^8*d^25*f^6 + 263104*a^3*b^12*c^10*d^23*f^6 + 652736*a^3*b^12*c^12*d^21*f^6 + 882112*a^3*b^12*c^14*d^19*f^6 + 723968*a^3*b^12*c^16*d^17*f^6 + 363328*a^3*b^12*c^18*d^15*f^6 + 104384*a^3*b^12*c^20*d^13*f^6 + 14016*a^3*b^12*c^22*d^11*f^6 + 352*a^3*b^12*c^24*d^9*f^6 + 4480*a^4*b^11*c^3*d^30*f^6 + 22400*a^4*b^11*c^5*d^28*f^6 + 7360*a^4*b^11*c^7*d^26*f^6 - 201120*a^4*b^11*c^9*d^24*f^6 - 673120*a^4*b^11*c^11*d^22*f^6 - 1096480*a^4*b^11*c^13*d^20*f^6 - 1058400*a^4*b^11*c^15*d^18*f^6 - 623840*a^4*b^11*c^17*d^16*f^6 - 213920*a^4*b^11*c^19*d^14*f^6 - 36320*a^4*b^11*c^21*d^12*f^6 - 1760*a^4*b^11*c^23*d^10*f^6 - 2688*a^5*b^10*c^2*d^31*f^6 - 20608*a^5*b^10*c^4*d^29*f^6 - 38976*a^5*b^10*c^6*d^27*f^6 + 83680*a^5*b^10*c^8*d^25*f^6 + 510496*a^5*b^10*c^10*d^23*f^6 + 1042272*a^5*b^10*c^12*d^21*f^6 + 1178912*a^5*b^10*c^14*d^19*f^6 + 799904*a^5*b^10*c^16*d^17*f^6 + 319200*a^5*b^10*c^18*d^15*f^6 + 66976*a^5*b^10*c^20*d^13*f^6 + 5280*a^5*b^10*c^22*d^11*f^6 + 11648*a^6*b^9*c^3*d^30*f^6 + 31808*a^6*b^9*c^5*d^28*f^6 - 38784*a^6*b^9*c^7*d^26*f^6 - 371840*a^6*b^9*c^9*d^24*f^6 - 877184*a^6*b^9*c^11*d^22*f^6 - 1112832*a^6*b^9*c^13*d^20*f^6 - 848512*a^6*b^9*c^15*d^18*f^6 - 388864*a^6*b^9*c^17*d^16*f^6 - 98560*a^6*b^9*c^19*d^14*f^6 - 10560*a^6*b^9*c^21*d^12*f^6 - 3712*a^7*b^8*c^2*d^31*f^6 - 8384*a^7*b^8*c^4*d^29*f^6 + 49280*a^7*b^8*c^6*d^27*f^6 + 294784*a^7*b^8*c^8*d^25*f^6 + 699776*a^7*b^8*c^10*d^23*f^6 + 947968*a^7*b^8*c^12*d^21*f^6 + 791936*a^7*b^8*c^14*d^19*f^6 + 405760*a^7*b^8*c^16*d^17*f^6 + 117504*a^7*b^8*c^18*d^15*f^6 + 14784*a^7*b^8*c^20*d^13*f^6 - 2208*a^8*b^7*c^3*d^30*f^6 - 44576*a^8*b^7*c^5*d^28*f^6 - 207200*a^8*b^7*c^7*d^26*f^6 - 495264*a^8*b^7*c^9*d^24*f^6 - 709408*a^8*b^7*c^11*d^22*f^6 - 635488*a^8*b^7*c^13*d^20*f^6 - 350496*a^8*b^7*c^15*d^18*f^6 - 109280*a^8*b^7*c^17*d^16*f^6 - 14784*a^8*b^7*c^19*d^14*f^6 + 1760*a^9*b^6*c^2*d^31*f^6 + 22880*a^9*b^6*c^4*d^29*f^6 + 110880*a^9*b^6*c^6*d^27*f^6 + 283360*a^9*b^6*c^8*d^25*f^6 + 431200*a^9*b^6*c^10*d^23*f^6 + 406560*a^9*b^6*c^12*d^21*f^6 + 234080*a^9*b^6*c^14*d^19*f^6 + 75680*a^9*b^6*c^16*d^17*f^6 + 10560*a^9*b^6*c^18*d^15*f^6 - 7744*a^10*b^5*c^3*d^30*f^6 - 44352*a^10*b^5*c^5*d^28*f^6 - 123200*a^10*b^5*c^7*d^26*f^6 - 197120*a^10*b^5*c^9*d^24*f^6 - 192192*a^10*b^5*c^11*d^22*f^6 - 113344*a^10*b^5*c^13*d^20*f^6 - 37312*a^10*b^5*c^15*d^18*f^6 - 5280*a^10*b^5*c^17*d^16*f^6 + 1984*a^11*b^4*c^2*d^31*f^6 + 12992*a^11*b^4*c^4*d^29*f^6 + 38080*a^11*b^4*c^6*d^27*f^6 + 62720*a^11*b^4*c^8*d^25*f^6 + 62272*a^11*b^4*c^10*d^23*f^6 + 37184*a^11*b^4*c^12*d^21*f^6 + 12352*a^11*b^4*c^14*d^19*f^6 + 1760*a^11*b^4*c^16*d^17*f^6 - 2464*a^12*b^3*c^3*d^30*f^6 - 7392*a^12*b^3*c^5*d^28*f^6 - 12320*a^12*b^3*c^7*d^26*f^6 - 12320*a^12*b^3*c^9*d^24*f^6 - 7392*a^12*b^3*c^11*d^22*f^6 - 2464*a^12*b^3*c^13*d^20*f^6 - 352*a^12*b^3*c^15*d^18*f^6 + 224*a^13*b^2*c^2*d^31*f^6 + 672*a^13*b^2*c^4*d^29*f^6 + 1120*a^13*b^2*c^6*d^27*f^6 + 1120*a^13*b^2*c^8*d^25*f^6 + 672*a^13*b^2*c^10*d^23*f^6 + 224*a^13*b^2*c^12*d^21*f^6 + 32*a^13*b^2*c^14*d^19*f^6 - 896*a*b^14*c^6*d^27*f^6 - 1408*a*b^14*c^8*d^25*f^6 + 15200*a*b^14*c^10*d^23*f^6 + 70560*a*b^14*c^12*d^21*f^6 + 138208*a*b^14*c^14*d^19*f^6 + 150304*a*b^14*c^16*d^17*f^6 + 94752*a*b^14*c^18*d^15*f^6 + 32480*a*b^14*c^20*d^13*f^6 + 4640*a*b^14*c^22*d^11*f^6 - 32*a*b^14*c^24*d^9*f^6 + 896*a^6*b^9*c*d^32*f^6 + 512*a^8*b^7*c*d^32*f^6 - 352*a^10*b^5*c*d^32*f^6 - 352*a^12*b^3*c*d^32*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*1i)/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))/(((-b^5*(a*d - b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5) + ((-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7) + ((-b^5*(a*d - b*c)^3)^(1/2)*(512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 + ((-b^5*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a*d - b*c)^3)^(1/2))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 128*a^7*b^8*d^33*f^6 - 32*a^11*b^4*d^33*f^6 - 32*a^13*b^2*d^33*f^6 - 128*b^15*c^7*d^26*f^6 - 128*b^15*c^9*d^24*f^6 + 2592*b^15*c^11*d^22*f^6 + 10976*b^15*c^13*d^20*f^6 + 20384*b^15*c^15*d^18*f^6 + 20832*b^15*c^17*d^16*f^6 + 11872*b^15*c^19*d^14*f^6 + 3232*b^15*c^21*d^12*f^6 + 96*b^15*c^23*d^10*f^6 - 96*b^15*c^25*d^8*f^6 - 2688*a^2*b^13*c^5*d^28*f^6 - 6272*a^2*b^13*c^7*d^26*f^6 + 34016*a^2*b^13*c^9*d^24*f^6 + 187968*a^2*b^13*c^11*d^22*f^6 + 400960*a^2*b^13*c^13*d^20*f^6 + 476224*a^2*b^13*c^15*d^18*f^6 + 338688*a^2*b^13*c^17*d^16*f^6 + 142016*a^2*b^13*c^19*d^14*f^6 + 31808*a^2*b^13*c^21*d^12*f^6 + 2880*a^2*b^13*c^23*d^10*f^6 + 32*a^2*b^13*c^25*d^8*f^6 + 4480*a^3*b^12*c^4*d^29*f^6 + 15232*a^3*b^12*c^6*d^27*f^6 - 30368*a^3*b^12*c^8*d^25*f^6 - 263104*a^3*b^12*c^10*d^23*f^6 - 652736*a^3*b^12*c^12*d^21*f^6 - 882112*a^3*b^12*c^14*d^19*f^6 - 723968*a^3*b^12*c^16*d^17*f^6 - 363328*a^3*b^12*c^18*d^15*f^6 - 104384*a^3*b^12*c^20*d^13*f^6 - 14016*a^3*b^12*c^22*d^11*f^6 - 352*a^3*b^12*c^24*d^9*f^6 - 4480*a^4*b^11*c^3*d^30*f^6 - 22400*a^4*b^11*c^5*d^28*f^6 - 7360*a^4*b^11*c^7*d^26*f^6 + 201120*a^4*b^11*c^9*d^24*f^6 + 673120*a^4*b^11*c^11*d^22*f^6 + 1096480*a^4*b^11*c^13*d^20*f^6 + 1058400*a^4*b^11*c^15*d^18*f^6 + 623840*a^4*b^11*c^17*d^16*f^6 + 213920*a^4*b^11*c^19*d^14*f^6 + 36320*a^4*b^11*c^21*d^12*f^6 + 1760*a^4*b^11*c^23*d^10*f^6 + 2688*a^5*b^10*c^2*d^31*f^6 + 20608*a^5*b^10*c^4*d^29*f^6 + 38976*a^5*b^10*c^6*d^27*f^6 - 83680*a^5*b^10*c^8*d^25*f^6 - 510496*a^5*b^10*c^10*d^23*f^6 - 1042272*a^5*b^10*c^12*d^21*f^6 - 1178912*a^5*b^10*c^14*d^19*f^6 - 799904*a^5*b^10*c^16*d^17*f^6 - 319200*a^5*b^10*c^18*d^15*f^6 - 66976*a^5*b^10*c^20*d^13*f^6 - 5280*a^5*b^10*c^22*d^11*f^6 - 11648*a^6*b^9*c^3*d^30*f^6 - 31808*a^6*b^9*c^5*d^28*f^6 + 38784*a^6*b^9*c^7*d^26*f^6 + 371840*a^6*b^9*c^9*d^24*f^6 + 877184*a^6*b^9*c^11*d^22*f^6 + 1112832*a^6*b^9*c^13*d^20*f^6 + 848512*a^6*b^9*c^15*d^18*f^6 + 388864*a^6*b^9*c^17*d^16*f^6 + 98560*a^6*b^9*c^19*d^14*f^6 + 10560*a^6*b^9*c^21*d^12*f^6 + 3712*a^7*b^8*c^2*d^31*f^6 + 8384*a^7*b^8*c^4*d^29*f^6 - 49280*a^7*b^8*c^6*d^27*f^6 - 294784*a^7*b^8*c^8*d^25*f^6 - 699776*a^7*b^8*c^10*d^23*f^6 - 947968*a^7*b^8*c^12*d^21*f^6 - 791936*a^7*b^8*c^14*d^19*f^6 - 405760*a^7*b^8*c^16*d^17*f^6 - 117504*a^7*b^8*c^18*d^15*f^6 - 14784*a^7*b^8*c^20*d^13*f^6 + 2208*a^8*b^7*c^3*d^30*f^6 + 44576*a^8*b^7*c^5*d^28*f^6 + 207200*a^8*b^7*c^7*d^26*f^6 + 495264*a^8*b^7*c^9*d^24*f^6 + 709408*a^8*b^7*c^11*d^22*f^6 + 635488*a^8*b^7*c^13*d^20*f^6 + 350496*a^8*b^7*c^15*d^18*f^6 + 109280*a^8*b^7*c^17*d^16*f^6 + 14784*a^8*b^7*c^19*d^14*f^6 - 1760*a^9*b^6*c^2*d^31*f^6 - 22880*a^9*b^6*c^4*d^29*f^6 - 110880*a^9*b^6*c^6*d^27*f^6 - 283360*a^9*b^6*c^8*d^25*f^6 - 431200*a^9*b^6*c^10*d^23*f^6 - 406560*a^9*b^6*c^12*d^21*f^6 - 234080*a^9*b^6*c^14*d^19*f^6 - 75680*a^9*b^6*c^16*d^17*f^6 - 10560*a^9*b^6*c^18*d^15*f^6 + 7744*a^10*b^5*c^3*d^30*f^6 + 44352*a^10*b^5*c^5*d^28*f^6 + 123200*a^10*b^5*c^7*d^26*f^6 + 197120*a^10*b^5*c^9*d^24*f^6 + 192192*a^10*b^5*c^11*d^22*f^6 + 113344*a^10*b^5*c^13*d^20*f^6 + 37312*a^10*b^5*c^15*d^18*f^6 + 5280*a^10*b^5*c^17*d^16*f^6 - 1984*a^11*b^4*c^2*d^31*f^6 - 12992*a^11*b^4*c^4*d^29*f^6 - 38080*a^11*b^4*c^6*d^27*f^6 - 62720*a^11*b^4*c^8*d^25*f^6 - 62272*a^11*b^4*c^10*d^23*f^6 - 37184*a^11*b^4*c^12*d^21*f^6 - 12352*a^11*b^4*c^14*d^19*f^6 - 1760*a^11*b^4*c^16*d^17*f^6 + 2464*a^12*b^3*c^3*d^30*f^6 + 7392*a^12*b^3*c^5*d^28*f^6 + 12320*a^12*b^3*c^7*d^26*f^6 + 12320*a^12*b^3*c^9*d^24*f^6 + 7392*a^12*b^3*c^11*d^22*f^6 + 2464*a^12*b^3*c^13*d^20*f^6 + 352*a^12*b^3*c^15*d^18*f^6 - 224*a^13*b^2*c^2*d^31*f^6 - 672*a^13*b^2*c^4*d^29*f^6 - 1120*a^13*b^2*c^6*d^27*f^6 - 1120*a^13*b^2*c^8*d^25*f^6 - 672*a^13*b^2*c^10*d^23*f^6 - 224*a^13*b^2*c^12*d^21*f^6 - 32*a^13*b^2*c^14*d^19*f^6 + 896*a*b^14*c^6*d^27*f^6 + 1408*a*b^14*c^8*d^25*f^6 - 15200*a*b^14*c^10*d^23*f^6 - 70560*a*b^14*c^12*d^21*f^6 - 138208*a*b^14*c^14*d^19*f^6 - 150304*a*b^14*c^16*d^17*f^6 - 94752*a*b^14*c^18*d^15*f^6 - 32480*a*b^14*c^20*d^13*f^6 - 4640*a*b^14*c^22*d^11*f^6 + 32*a*b^14*c^24*d^9*f^6 - 896*a^6*b^9*c*d^32*f^6 - 512*a^8*b^7*c*d^32*f^6 + 352*a^10*b^5*c*d^32*f^6 + 352*a^12*b^3*c*d^32*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f)))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) - ((-b^5*(a*d - b*c)^3)^(1/2)*((c + d*tan(e + f*x))^(1/2)*(32*a^9*b^5*d^31*f^5 - 64*a^7*b^7*d^31*f^5 + 64*b^14*c^7*d^24*f^5 + 352*b^14*c^9*d^22*f^5 + 672*b^14*c^11*d^20*f^5 + 224*b^14*c^13*d^18*f^5 - 1120*b^14*c^15*d^16*f^5 - 2016*b^14*c^17*d^14*f^5 - 1568*b^14*c^19*d^12*f^5 - 608*b^14*c^21*d^10*f^5 - 96*b^14*c^23*d^8*f^5 + 1344*a^2*b^12*c^5*d^26*f^5 + 6912*a^2*b^12*c^7*d^24*f^5 + 10752*a^2*b^12*c^9*d^22*f^5 - 5376*a^2*b^12*c^11*d^20*f^5 - 40320*a^2*b^12*c^13*d^18*f^5 - 59136*a^2*b^12*c^15*d^16*f^5 - 43008*a^2*b^12*c^17*d^14*f^5 - 16128*a^2*b^12*c^19*d^12*f^5 - 2496*a^2*b^12*c^21*d^10*f^5 - 2240*a^3*b^11*c^4*d^27*f^5 - 10752*a^3*b^11*c^6*d^25*f^5 - 12544*a^3*b^11*c^8*d^23*f^5 + 25088*a^3*b^11*c^10*d^21*f^5 + 94080*a^3*b^11*c^12*d^19*f^5 + 125440*a^3*b^11*c^14*d^17*f^5 + 87808*a^3*b^11*c^16*d^15*f^5 + 32256*a^3*b^11*c^18*d^13*f^5 + 4928*a^3*b^11*c^20*d^11*f^5 + 2240*a^4*b^10*c^3*d^28*f^5 + 9408*a^4*b^10*c^5*d^26*f^5 + 3136*a^4*b^10*c^7*d^24*f^5 - 53312*a^4*b^10*c^9*d^22*f^5 - 141120*a^4*b^10*c^11*d^20*f^5 - 172480*a^4*b^10*c^13*d^18*f^5 - 116032*a^4*b^10*c^15*d^16*f^5 - 41664*a^4*b^10*c^17*d^14*f^5 - 6272*a^4*b^10*c^19*d^12*f^5 - 1344*a^5*b^9*c^2*d^29*f^5 - 4032*a^5*b^9*c^4*d^27*f^5 + 9408*a^5*b^9*c^6*d^25*f^5 + 65856*a^5*b^9*c^8*d^23*f^5 + 141120*a^5*b^9*c^10*d^21*f^5 + 159936*a^5*b^9*c^12*d^19*f^5 + 103488*a^5*b^9*c^14*d^17*f^5 + 36288*a^5*b^9*c^16*d^15*f^5 + 5376*a^5*b^9*c^18*d^13*f^5 - 12544*a^6*b^8*c^5*d^26*f^5 - 50176*a^6*b^8*c^7*d^24*f^5 - 94080*a^6*b^8*c^9*d^22*f^5 - 100352*a^6*b^8*c^11*d^20*f^5 - 62720*a^6*b^8*c^13*d^18*f^5 - 21504*a^6*b^8*c^15*d^16*f^5 - 3136*a^6*b^8*c^17*d^14*f^5 + 768*a^7*b^7*c^2*d^29*f^5 + 7168*a^7*b^7*c^4*d^27*f^5 + 23296*a^7*b^7*c^6*d^25*f^5 + 40320*a^7*b^7*c^8*d^23*f^5 + 41216*a^7*b^7*c^10*d^21*f^5 + 25088*a^7*b^7*c^12*d^19*f^5 + 8448*a^7*b^7*c^14*d^17*f^5 + 1216*a^7*b^7*c^16*d^15*f^5 - 2016*a^8*b^6*c^3*d^28*f^5 - 6048*a^8*b^6*c^5*d^26*f^5 - 10080*a^8*b^6*c^7*d^24*f^5 - 10080*a^8*b^6*c^9*d^22*f^5 - 6048*a^8*b^6*c^11*d^20*f^5 - 2016*a^8*b^6*c^13*d^18*f^5 - 288*a^8*b^6*c^15*d^16*f^5 + 224*a^9*b^5*c^2*d^29*f^5 + 672*a^9*b^5*c^4*d^27*f^5 + 1120*a^9*b^5*c^6*d^25*f^5 + 1120*a^9*b^5*c^8*d^23*f^5 + 672*a^9*b^5*c^10*d^21*f^5 + 224*a^9*b^5*c^12*d^19*f^5 + 32*a^9*b^5*c^14*d^17*f^5 - 448*a*b^13*c^6*d^25*f^5 - 2400*a*b^13*c^8*d^23*f^5 - 4256*a*b^13*c^10*d^21*f^5 - 224*a*b^13*c^12*d^19*f^5 + 10080*a*b^13*c^14*d^17*f^5 + 16352*a*b^13*c^16*d^15*f^5 + 12320*a*b^13*c^18*d^13*f^5 + 4704*a*b^13*c^20*d^11*f^5 + 736*a*b^13*c^22*d^9*f^5 + 448*a^6*b^8*c*d^30*f^5 - 288*a^8*b^6*c*d^30*f^5) + ((-b^5*(a*d - b*c)^3)^(1/2)*((((c + d*tan(e + f*x))^(1/2)*(448*a^10*b^6*d^34*f^7 - 512*a^8*b^8*d^34*f^7 - 128*a^12*b^4*d^34*f^7 - 64*a^14*b^2*d^34*f^7 + 256*b^16*c^8*d^26*f^7 + 1472*b^16*c^10*d^24*f^7 + 3712*b^16*c^12*d^22*f^7 + 6272*b^16*c^14*d^20*f^7 + 9856*b^16*c^16*d^18*f^7 + 14336*b^16*c^18*d^16*f^7 + 15232*b^16*c^20*d^14*f^7 + 10112*b^16*c^22*d^12*f^7 + 3712*b^16*c^24*d^10*f^7 + 576*b^16*c^26*d^8*f^7 + 1792*a^2*b^14*c^6*d^28*f^7 - 10048*a^2*b^14*c^8*d^26*f^7 - 120320*a^2*b^14*c^10*d^24*f^7 - 410752*a^2*b^14*c^12*d^22*f^7 - 726656*a^2*b^14*c^14*d^20*f^7 - 754432*a^2*b^14*c^16*d^18*f^7 - 468608*a^2*b^14*c^18*d^16*f^7 - 165760*a^2*b^14*c^20*d^14*f^7 - 29312*a^2*b^14*c^22*d^12*f^7 - 2496*a^2*b^14*c^24*d^10*f^7 - 384*a^2*b^14*c^26*d^8*f^7 + 1792*a^3*b^13*c^5*d^29*f^7 + 71680*a^3*b^13*c^7*d^27*f^7 + 477440*a^3*b^13*c^9*d^25*f^7 + 1488384*a^3*b^13*c^11*d^23*f^7 + 2695168*a^3*b^13*c^13*d^21*f^7 + 3071488*a^3*b^13*c^15*d^19*f^7 + 2257920*a^3*b^13*c^17*d^17*f^7 + 1057280*a^3*b^13*c^19*d^15*f^7 + 299264*a^3*b^13*c^21*d^13*f^7 + 45568*a^3*b^13*c^23*d^11*f^7 + 2816*a^3*b^13*c^25*d^9*f^7 - 8960*a^4*b^12*c^4*d^30*f^7 - 153216*a^4*b^12*c^6*d^28*f^7 - 902784*a^4*b^12*c^8*d^26*f^7 - 2790976*a^4*b^12*c^10*d^24*f^7 - 5247360*a^4*b^12*c^12*d^22*f^7 - 6382208*a^4*b^12*c^14*d^20*f^7 - 5113472*a^4*b^12*c^16*d^18*f^7 - 2655744*a^4*b^12*c^18*d^16*f^7 - 843136*a^4*b^12*c^20*d^14*f^7 - 142080*a^4*b^12*c^22*d^12*f^7 - 8448*a^4*b^12*c^24*d^10*f^7 + 64*a^4*b^12*c^26*d^8*f^7 + 12544*a^5*b^11*c^3*d^31*f^7 + 170240*a^5*b^11*c^5*d^29*f^7 + 966912*a^5*b^11*c^7*d^27*f^7 + 3071104*a^5*b^11*c^9*d^25*f^7 + 6089472*a^5*b^11*c^11*d^23*f^7 + 7900928*a^5*b^11*c^13*d^21*f^7 + 6782720*a^5*b^11*c^15*d^19*f^7 + 3773952*a^5*b^11*c^17*d^17*f^7 + 1275904*a^5*b^11*c^19*d^15*f^7 + 223232*a^5*b^11*c^21*d^13*f^7 + 11264*a^5*b^11*c^23*d^11*f^7 - 640*a^5*b^11*c^25*d^9*f^7 - 8960*a^6*b^10*c^2*d^32*f^7 - 103040*a^6*b^10*c^4*d^30*f^7 - 585984*a^6*b^10*c^6*d^28*f^7 - 1986624*a^6*b^10*c^8*d^26*f^7 - 4269696*a^6*b^10*c^10*d^24*f^7 - 5986176*a^6*b^10*c^12*d^22*f^7 - 5496960*a^6*b^10*c^14*d^20*f^7 - 3220224*a^6*b^10*c^16*d^18*f^7 - 1110144*a^6*b^10*c^18*d^16*f^7 - 175616*a^6*b^10*c^20*d^14*f^7 + 2944*a^6*b^10*c^22*d^12*f^7 + 2880*a^6*b^10*c^24*d^10*f^7 + 27648*a^7*b^9*c^3*d^31*f^7 + 162048*a^7*b^9*c^5*d^29*f^7 + 652800*a^7*b^9*c^7*d^27*f^7 + 1648128*a^7*b^9*c^9*d^25*f^7 + 2601984*a^7*b^9*c^11*d^23*f^7 + 2569728*a^7*b^9*c^13*d^21*f^7 + 1517568*a^7*b^9*c^15*d^19*f^7 + 441600*a^7*b^9*c^17*d^17*f^7 - 8192*a^7*b^9*c^19*d^15*f^7 - 40704*a^7*b^9*c^21*d^13*f^7 - 7680*a^7*b^9*c^23*d^11*f^7 + 2240*a^8*b^8*c^2*d^32*f^7 + 13440*a^8*b^8*c^4*d^30*f^7 - 21504*a^8*b^8*c^6*d^28*f^7 - 217728*a^8*b^8*c^8*d^26*f^7 - 499968*a^8*b^8*c^10*d^24*f^7 - 524160*a^8*b^8*c^12*d^22*f^7 - 182400*a^8*b^8*c^14*d^20*f^7 + 153216*a^8*b^8*c^16*d^18*f^7 + 196672*a^8*b^8*c^18*d^16*f^7 + 84224*a^8*b^8*c^20*d^14*f^7 + 13440*a^8*b^8*c^22*d^12*f^7 - 19456*a^9*b^7*c^3*d^31*f^7 - 43520*a^9*b^7*c^5*d^29*f^7 - 23296*a^9*b^7*c^7*d^27*f^7 + 39424*a^9*b^7*c^9*d^25*f^7 - 1792*a^9*b^7*c^11*d^23*f^7 - 202496*a^9*b^7*c^13*d^21*f^7 - 344320*a^9*b^7*c^15*d^19*f^7 - 265856*a^9*b^7*c^17*d^17*f^7 - 102656*a^9*b^7*c^19*d^15*f^7 - 16128*a^9*b^7*c^21*d^13*f^7 + 2816*a^10*b^6*c^2*d^32*f^7 - 2816*a^10*b^6*c^4*d^30*f^7 - 47488*a^10*b^6*c^6*d^28*f^7 - 111104*a^10*b^6*c^8*d^26*f^7 - 68992*a^10*b^6*c^10*d^24*f^7 + 117376*a^10*b^6*c^12*d^22*f^7 + 258944*a^10*b^6*c^14*d^20*f^7 + 212032*a^10*b^6*c^16*d^18*f^7 + 84096*a^10*b^6*c^18*d^16*f^7 + 13440*a^10*b^6*c^20*d^14*f^7 + 10240*a^11*b^5*c^3*d^31*f^7 + 49664*a^11*b^5*c^5*d^29*f^7 + 103936*a^11*b^5*c^7*d^27*f^7 + 89600*a^11*b^5*c^9*d^25*f^7 - 25088*a^11*b^5*c^11*d^23*f^7 - 125440*a^11*b^5*c^13*d^21*f^7 - 114176*a^11*b^5*c^15*d^19*f^7 - 47104*a^11*b^5*c^17*d^17*f^7 - 7680*a^11*b^5*c^19*d^15*f^7 - 3648*a^12*b^4*c^2*d^32*f^7 - 19072*a^12*b^4*c^4*d^30*f^7 - 42112*a^12*b^4*c^6*d^28*f^7 - 40320*a^12*b^4*c^8*d^26*f^7 + 1792*a^12*b^4*c^10*d^24*f^7 + 42112*a^12*b^4*c^12*d^22*f^7 + 41088*a^12*b^4*c^14*d^20*f^7 + 17408*a^12*b^4*c^16*d^18*f^7 + 2880*a^12*b^4*c^18*d^16*f^7 + 3840*a^13*b^3*c^3*d^31*f^7 + 8960*a^13*b^3*c^5*d^29*f^7 + 8960*a^13*b^3*c^7*d^27*f^7 - 8960*a^13*b^3*c^11*d^23*f^7 - 8960*a^13*b^3*c^13*d^21*f^7 - 3840*a^13*b^3*c^15*d^19*f^7 - 640*a^13*b^3*c^17*d^17*f^7 - 384*a^14*b^2*c^2*d^32*f^7 - 896*a^14*b^2*c^4*d^30*f^7 - 896*a^14*b^2*c^6*d^28*f^7 + 896*a^14*b^2*c^10*d^24*f^7 + 896*a^14*b^2*c^12*d^22*f^7 + 384*a^14*b^2*c^14*d^20*f^7 + 64*a^14*b^2*c^16*d^18*f^7 - 1280*a*b^15*c^7*d^27*f^7 - 4480*a*b^15*c^9*d^25*f^7 + 1792*a*b^15*c^11*d^23*f^7 + 30464*a*b^15*c^13*d^21*f^7 + 55552*a*b^15*c^15*d^19*f^7 + 35840*a*b^15*c^17*d^17*f^7 - 8960*a*b^15*c^19*d^15*f^7 - 26368*a*b^15*c^21*d^13*f^7 - 14336*a*b^15*c^23*d^11*f^7 - 2688*a*b^15*c^25*d^9*f^7 + 3328*a^7*b^9*c*d^33*f^7 - 2944*a^9*b^7*c*d^33*f^7 + 512*a^11*b^5*c*d^33*f^7 + 640*a^13*b^3*c*d^33*f^7) - ((-b^5*(a*d - b*c)^3)^(1/2)*(512*a^8*b^9*d^36*f^8 + 640*a^10*b^7*d^36*f^8 - 256*a^12*b^5*d^36*f^8 - 384*a^14*b^3*d^36*f^8 + 512*b^17*c^8*d^28*f^8 + 5248*b^17*c^10*d^26*f^8 + 23936*b^17*c^12*d^24*f^8 + 64000*b^17*c^14*d^22*f^8 + 111104*b^17*c^16*d^20*f^8 + 130816*b^17*c^18*d^18*f^8 + 105728*b^17*c^20*d^16*f^8 + 57856*b^17*c^22*d^14*f^8 + 20480*b^17*c^24*d^12*f^8 + 4224*b^17*c^26*d^10*f^8 + 384*b^17*c^28*d^8*f^8 - ((-b^5*(a*d - b*c)^3)^(1/2)*(c + d*tan(e + f*x))^(1/2)*(512*a^9*b^9*d^37*f^9 + 512*a^11*b^7*d^37*f^9 - 512*a^13*b^5*d^37*f^9 - 512*a^15*b^3*d^37*f^9 - 512*b^18*c^9*d^28*f^9 - 5376*b^18*c^11*d^26*f^9 - 25344*b^18*c^13*d^24*f^9 - 70656*b^18*c^15*d^22*f^9 - 129024*b^18*c^17*d^20*f^9 - 161280*b^18*c^19*d^18*f^9 - 139776*b^18*c^21*d^16*f^9 - 82944*b^18*c^23*d^14*f^9 - 32256*b^18*c^25*d^12*f^9 - 7424*b^18*c^27*d^10*f^9 - 768*b^18*c^29*d^8*f^9 - 18432*a^2*b^16*c^7*d^30*f^9 - 191744*a^2*b^16*c^9*d^28*f^9 - 897536*a^2*b^16*c^11*d^26*f^9 - 2490624*a^2*b^16*c^13*d^24*f^9 - 4540416*a^2*b^16*c^15*d^22*f^9 - 5687808*a^2*b^16*c^17*d^20*f^9 - 4967424*a^2*b^16*c^19*d^18*f^9 - 2996736*a^2*b^16*c^21*d^16*f^9 - 1204224*a^2*b^16*c^23*d^14*f^9 - 297216*a^2*b^16*c^25*d^12*f^9 - 37376*a^2*b^16*c^27*d^10*f^9 - 1280*a^2*b^16*c^29*d^8*f^9 + 43008*a^3*b^15*c^6*d^31*f^9 + 446976*a^3*b^15*c^8*d^29*f^9 + 2098176*a^3*b^15*c^10*d^27*f^9 + 5865984*a^3*b^15*c^12*d^25*f^9 + 10838016*a^3*b^15*c^14*d^23*f^9 + 13870080*a^3*b^15*c^16*d^21*f^9 + 12515328*a^3*b^15*c^18*d^19*f^9 + 7934976*a^3*b^15*c^20*d^17*f^9 + 3446784*a^3*b^15*c^22*d^15*f^9 + 969216*a^3*b^15*c^24*d^13*f^9 + 156672*a^3*b^15*c^26*d^11*f^9 + 10752*a^3*b^15*c^28*d^9*f^9 - 64512*a^4*b^14*c^5*d^32*f^9 - 674304*a^4*b^14*c^7*d^30*f^9 - 3204352*a^4*b^14*c^9*d^28*f^9 - 9140224*a^4*b^14*c^11*d^26*f^9 - 17392896*a^4*b^14*c^13*d^24*f^9 - 23190528*a^4*b^14*c^15*d^22*f^9 - 22116864*a^4*b^14*c^17*d^20*f^9 - 15095808*a^4*b^14*c^19*d^18*f^9 - 7233024*a^4*b^14*c^21*d^16*f^9 - 2320896*a^4*b^14*c^23*d^14*f^9 - 450816*a^4*b^14*c^25*d^12*f^9 - 40960*a^4*b^14*c^27*d^10*f^9 - 256*a^4*b^14*c^29*d^8*f^9 + 64512*a^5*b^13*c^4*d^33*f^9 + 688128*a^5*b^13*c^6*d^31*f^9 + 3365376*a^5*b^13*c^8*d^29*f^9 + 9968640*a^5*b^13*c^10*d^27*f^9 + 19883520*a^5*b^13*c^12*d^25*f^9 + 28053504*a^5*b^13*c^14*d^23*f^9 + 28578816*a^5*b^13*c^16*d^21*f^9 + 21030912*a^5*b^13*c^18*d^19*f^9 + 10967040*a^5*b^13*c^20*d^17*f^9 + 3870720*a^5*b^13*c^22*d^15*f^9 + 840192*a^5*b^13*c^24*d^13*f^9 + 89088*a^5*b^13*c^26*d^11*f^9 + 1536*a^5*b^13*c^28*d^9*f^9 - 43008*a^6*b^12*c^3*d^34*f^9 - 483840*a^6*b^12*c^5*d^32*f^9 - 2497536*a^6*b^12*c^7*d^30*f^9 - 7803136*a^6*b^12*c^9*d^28*f^9 - 16383488*a^6*b^12*c^11*d^26*f^9 - 24254208*a^6*b^12*c^13*d^24*f^9 - 25817088*a^6*b^12*c^15*d^22*f^9 - 19751424*a^6*b^12*c^17*d^20*f^9 - 10644480*a^6*b^12*c^19*d^18*f^9 - 3852288*a^6*b^12*c^21*d^16*f^9 - 844800*a^6*b^12*c^23*d^14*f^9 - 85248*a^6*b^12*c^25*d^12*f^9 + 512*a^6*b^12*c^27*d^10*f^9 + 256*a^6*b^12*c^29*d^8*f^9 + 18432*a^7*b^11*c^2*d^35*f^9 + 236544*a^7*b^11*c^4*d^33*f^9 + 1320960*a^7*b^11*c^6*d^31*f^9 + 4274688*a^7*b^11*c^8*d^29*f^9 + 8932352*a^7*b^11*c^10*d^27*f^9 + 12621312*a^7*b^11*c^12*d^25*f^9 + 12165120*a^7*b^11*c^14*d^23*f^9 + 7738368*a^7*b^11*c^16*d^21*f^9 + 2838528*a^7*b^11*c^18*d^19*f^9 + 202752*a^7*b^11*c^20*d^17*f^9 - 337920*a^7*b^11*c^22*d^15*f^9 - 167424*a^7*b^11*c^24*d^13*f^9 - 33792*a^7*b^11*c^26*d^11*f^9 - 2560*a^7*b^11*c^28*d^9*f^9 - 82176*a^8*b^10*c^3*d^34*f^9 - 478464*a^8*b^10*c^5*d^32*f^9 - 1317888*a^8*b^10*c^7*d^30*f^9 - 1596672*a^8*b^10*c^9*d^28*f^9 + 734976*a^8*b^10*c^11*d^26*f^9 + 5930496*a^8*b^10*c^13*d^24*f^9 + 10543104*a^8*b^10*c^15*d^22*f^9 + 10847232*a^8*b^10*c^17*d^20*f^9 + 7273728*a^8*b^10*c^19*d^18*f^9 + 3235584*a^8*b^10*c^21*d^16*f^9 + 924672*a^8*b^10*c^23*d^14*f^9 + 154368*a^8*b^10*c^25*d^12*f^9 + 11520*a^8*b^10*c^27*d^10*f^9 + 21504*a^9*b^9*c^2*d^35*f^9 + 87552*a^9*b^9*c^4*d^33*f^9 - 202752*a^9*b^9*c^6*d^31*f^9 - 2500608*a^9*b^9*c^8*d^29*f^9 - 8921088*a^9*b^9*c^10*d^27*f^9 - 18416640*a^9*b^9*c^12*d^25*f^9 - 25141248*a^9*b^9*c^14*d^23*f^9 - 23772672*a^9*b^9*c^16*d^21*f^9 - 15735808*a^9*b^9*c^18*d^19*f^9 - 7180800*a^9*b^9*c^20*d^17*f^9 - 2156544*a^9*b^9*c^22*d^15*f^9 - 384000*a^9*b^9*c^24*d^13*f^9 - 30720*a^9*b^9*c^26*d^11*f^9 + 19968*a^10*b^8*c^3*d^34*f^9 + 515328*a^10*b^8*c^5*d^32*f^9 + 3075072*a^10*b^8*c^7*d^30*f^9 + 9934848*a^10*b^8*c^9*d^28*f^9 + 20579328*a^10*b^8*c^11*d^26*f^9 + 29213184*a^10*b^8*c^13*d^24*f^9 + 29196288*a^10*b^8*c^15*d^22*f^9 + 20604672*a^10*b^8*c^17*d^20*f^9 + 10075648*a^10*b^8*c^19*d^18*f^9 + 3252480*a^10*b^8*c^21*d^16*f^9 + 623616*a^10*b^8*c^23*d^14*f^9 + 53760*a^10*b^8*c^25*d^12*f^9 - 19456*a^11*b^7*c^2*d^35*f^9 - 317952*a^11*b^7*c^4*d^33*f^9 - 1966080*a^11*b^7*c^6*d^31*f^9 - 6850560*a^11*b^7*c^8*d^29*f^9 - 15353856*a^11*b^7*c^10*d^27*f^9 - 23503872*a^11*b^7*c^12*d^25*f^9 - 25227264*a^11*b^7*c^14*d^23*f^9 - 19054080*a^11*b^7*c^16*d^21*f^9 - 9948160*a^11*b^7*c^18*d^19*f^9 - 3424768*a^11*b^7*c^20*d^17*f^9 - 700416*a^11*b^7*c^22*d^15*f^9 - 64512*a^11*b^7*c^24*d^13*f^9 + 116736*a^12*b^6*c^3*d^34*f^9 + 862464*a^12*b^6*c^5*d^32*f^9 + 3396096*a^12*b^6*c^7*d^30*f^9 + 8354304*a^12*b^6*c^9*d^28*f^9 + 13805568*a^12*b^6*c^11*d^26*f^9 + 15837696*a^12*b^6*c^13*d^24*f^9 + 12708864*a^12*b^6*c^15*d^22*f^9 + 7024896*a^12*b^6*c^17*d^20*f^9 + 2555904*a^12*b^6*c^19*d^18*f^9 + 552192*a^12*b^6*c^21*d^16*f^9 + 53760*a^12*b^6*c^23*d^14*f^9 - 29696*a^13*b^5*c^2*d^35*f^9 - 274944*a^13*b^5*c^4*d^33*f^9 - 1222656*a^13*b^5*c^6*d^31*f^9 - 3277824*a^13*b^5*c^8*d^29*f^9 - 5806080*a^13*b^5*c^10*d^27*f^9 - 7074816*a^13*b^5*c^12*d^25*f^9 - 5996544*a^13*b^5*c^14*d^23*f^9 - 3488256*a^13*b^5*c^16*d^21*f^9 - 1332224*a^13*b^5*c^18*d^19*f^9 - 301568*a^13*b^5*c^20*d^17*f^9 - 30720*a^13*b^5*c^22*d^15*f^9 + 59904*a^14*b^4*c^3*d^34*f^9 + 297216*a^14*b^4*c^5*d^32*f^9 + 866304*a^14*b^4*c^7*d^30*f^9 + 1645056*a^14*b^4*c^9*d^28*f^9 + 2128896*a^14*b^4*c^11*d^26*f^9 + 1903104*a^14*b^4*c^13*d^24*f^9 + 1161216*a^14*b^4*c^15*d^22*f^9 + 463104*a^14*b^4*c^17*d^20*f^9 + 109056*a^14*b^4*c^19*d^18*f^9 + 11520*a^14*b^4*c^21*d^16*f^9 - 7168*a^15*b^3*c^2*d^35*f^9 - 41472*a^15*b^3*c^4*d^33*f^9 - 135168*a^15*b^3*c^6*d^31*f^9 - 279552*a^15*b^3*c^8*d^29*f^9 - 387072*a^15*b^3*c^10*d^27*f^9 - 365568*a^15*b^3*c^12*d^25*f^9 - 233472*a^15*b^3*c^14*d^23*f^9 - 96768*a^15*b^3*c^16*d^21*f^9 - 23552*a^15*b^3*c^18*d^19*f^9 - 2560*a^15*b^3*c^20*d^17*f^9 + 2304*a^16*b^2*c^3*d^34*f^9 + 9216*a^16*b^2*c^5*d^32*f^9 + 21504*a^16*b^2*c^7*d^30*f^9 + 32256*a^16*b^2*c^9*d^28*f^9 + 32256*a^16*b^2*c^11*d^26*f^9 + 21504*a^16*b^2*c^13*d^24*f^9 + 9216*a^16*b^2*c^15*d^22*f^9 + 2304*a^16*b^2*c^17*d^20*f^9 + 256*a^16*b^2*c^19*d^18*f^9 + 4608*a*b^17*c^8*d^29*f^9 + 48128*a*b^17*c^10*d^27*f^9 + 225792*a*b^17*c^12*d^25*f^9 + 626688*a*b^17*c^14*d^23*f^9 + 1139712*a*b^17*c^16*d^21*f^9 + 1419264*a*b^17*c^18*d^19*f^9 + 1225728*a*b^17*c^20*d^17*f^9 + 724992*a*b^17*c^22*d^15*f^9 + 281088*a*b^17*c^24*d^13*f^9 + 64512*a*b^17*c^26*d^11*f^9 + 6656*a*b^17*c^28*d^9*f^9 - 4608*a^8*b^10*c*d^36*f^9 - 4352*a^10*b^8*c*d^36*f^9 + 5376*a^12*b^6*c*d^36*f^9 + 5376*a^14*b^4*c*d^36*f^9 + 256*a^16*b^2*c*d^36*f^9))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) + 14336*a^2*b^15*c^6*d^30*f^8 + 149632*a^2*b^15*c^8*d^28*f^8 + 697984*a^2*b^15*c^10*d^26*f^8 + 1918208*a^2*b^15*c^12*d^24*f^8 + 3443200*a^2*b^15*c^14*d^22*f^8 + 4223744*a^2*b^15*c^16*d^20*f^8 + 3592960*a^2*b^15*c^18*d^18*f^8 + 2100224*a^2*b^15*c^20*d^16*f^8 + 813568*a^2*b^15*c^22*d^14*f^8 + 192640*a^2*b^15*c^24*d^12*f^8 + 23168*a^2*b^15*c^26*d^10*f^8 + 768*a^2*b^15*c^28*d^8*f^8 - 28672*a^3*b^14*c^5*d^31*f^8 - 306176*a^3*b^14*c^7*d^29*f^8 - 1470720*a^3*b^14*c^9*d^27*f^8 - 4191232*a^3*b^14*c^11*d^25*f^8 - 7863296*a^3*b^14*c^13*d^23*f^8 - 10178560*a^3*b^14*c^15*d^21*f^8 - 9250304*a^3*b^14*c^17*d^19*f^8 - 5877760*a^3*b^14*c^19*d^17*f^8 - 2542592*a^3*b^14*c^21*d^15*f^8 - 705536*a^3*b^14*c^23*d^13*f^8 - 110848*a^3*b^14*c^25*d^11*f^8 - 7168*a^3*b^14*c^27*d^9*f^8 + 35840*a^4*b^13*c^4*d^32*f^8 + 399616*a^4*b^13*c^6*d^30*f^8 + 2024960*a^4*b^13*c^8*d^28*f^8 + 6144896*a^4*b^13*c^10*d^26*f^8 + 12387712*a^4*b^13*c^12*d^24*f^8 + 17392640*a^4*b^13*c^14*d^22*f^8 + 17328640*a^4*b^13*c^16*d^20*f^8 + 12233984*a^4*b^13*c^18*d^18*f^8 + 5990656*a^4*b^13*c^20*d^16*f^8 + 1937152*a^4*b^13*c^22*d^14*f^8 + 373760*a^4*b^13*c^24*d^12*f^8 + 33664*a^4*b^13*c^26*d^10*f^8 + 384*a^4*b^13*c^28*d^8*f^8 - 28672*a^5*b^12*c^3*d^33*f^8 - 347648*a^5*b^12*c^5*d^31*f^8 - 1933312*a^5*b^12*c^7*d^29*f^8 - 6470400*a^5*b^12*c^9*d^27*f^8 - 14423552*a^5*b^12*c^11*d^25*f^8 - 22435840*a^5*b^12*c^13*d^23*f^8 - 24829952*a^5*b^12*c^15*d^21*f^8 - 19565056*a^5*b^12*c^17*d^19*f^8 - 10787840*a^5*b^12*c^19*d^17*f^8 - 3994112*a^5*b^12*c^21*d^15*f^8 - 913408*a^5*b^12*c^23*d^13*f^8 - 107264*a^5*b^12*c^25*d^11*f^8 - 3584*a^5*b^12*c^27*d^9*f^8 + 14336*a^6*b^11*c^2*d^34*f^8 + 206080*a^6*b^11*c^4*d^32*f^8 + 1331456*a^6*b^11*c^6*d^30*f^8 + 5086848*a^6*b^11*c^8*d^28*f^8 + 12775808*a^6*b^11*c^10*d^26*f^8 + 22202368*a^6*b^11*c^12*d^24*f^8 + 27345920*a^6*b^11*c^14*d^22*f^8 + 24000256*a^6*b^11*c^16*d^20*f^8 + 14835968*a^6*b^11*c^18*d^18*f^8 + 6252288*a^6*b^11*c^20*d^16*f^8 + 1681152*a^6*b^11*c^22*d^14*f^8 + 251520*a^6*b^11*c^24*d^12*f^8 + 14720*a^6*b^11*c^26*d^10*f^8 - 84992*a^7*b^10*c^3*d^33*f^8 - 675328*a^7*b^10*c^5*d^31*f^8 - 2989056*a^7*b^10*c^7*d^29*f^8 - 8482560*a^7*b^10*c^9*d^27*f^8 - 16490496*a^7*b^10*c^11*d^25*f^8 - 22665216*a^7*b^10*c^13*d^23*f^8 - 22253568*a^7*b^10*c^15*d^21*f^8 - 15499776*a^7*b^10*c^17*d^19*f^8 - 7459840*a^7*b^10*c^19*d^17*f^8 - 2347520*a^7*b^10*c^21*d^15*f^8 - 431104*a^7*b^10*c^23*d^13*f^8 - 34560*a^7*b^10*c^25*d^11*f^8 + 25216*a^8*b^9*c^2*d^34*f^8 + 245120*a^8*b^9*c^4*d^32*f^8 + 1231104*a^8*b^9*c^6*d^30*f^8 + 3931392*a^8*b^9*c^8*d^28*f^8 + 8630016*a^8*b^9*c^10*d^26*f^8 + 13445376*a^8*b^9*c^12*d^24*f^8 + 15006720*a^8*b^9*c^14*d^22*f^8 + 11917824*a^8*b^9*c^16*d^20*f^8 + 6572672*a^8*b^9*c^18*d^18*f^8 + 2391424*a^8*b^9*c^20*d^16*f^8 + 515840*a^8*b^9*c^22*d^14*f^8 + 49920*a^8*b^9*c^24*d^12*f^8 - 53760*a^9*b^8*c^3*d^33*f^8 - 282112*a^9*b^8*c^5*d^31*f^8 - 1009664*a^9*b^8*c^7*d^29*f^8 - 2598400*a^9*b^8*c^9*d^27*f^8 - 4809728*a^9*b^8*c^11*d^25*f^8 - 6350848*a^9*b^8*c^13*d^23*f^8 - 5906432*a^9*b^8*c^15*d^21*f^8 - 3775744*a^9*b^8*c^17*d^19*f^8 - 1579520*a^9*b^8*c^19*d^17*f^8 - 389632*a^9*b^8*c^21*d^15*f^8 - 43008*a^9*b^8*c^23*d^13*f^8 + 2176*a^10*b^7*c^2*d^34*f^8 - 12800*a^10*b^7*c^4*d^32*f^8 - 87808*a^10*b^7*c^6*d^30*f^8 - 191744*a^10*b^7*c^8*d^28*f^8 - 120064*a^10*b^7*c^10*d^26*f^8 + 254464*a^10*b^7*c^12*d^24*f^8 + 650240*a^10*b^7*c^14*d^22*f^8 + 679552*a^10*b^7*c^16*d^20*f^8 + 391296*a^10*b^7*c^18*d^18*f^8 + 121856*a^10*b^7*c^20*d^16*f^8 + 16128*a^10*b^7*c^22*d^14*f^8 + 34816*a^11*b^6*c^3*d^33*f^8 + 221696*a^11*b^6*c^5*d^31*f^8 + 735232*a^11*b^6*c^7*d^29*f^8 + 1487360*a^11*b^6*c^9*d^27*f^8 + 1964032*a^11*b^6*c^11*d^25*f^8 + 1734656*a^11*b^6*c^13*d^23*f^8 + 1017856*a^11*b^6*c^15*d^21*f^8 + 380672*a^11*b^6*c^17*d^19*f^8 + 81920*a^11*b^6*c^19*d^17*f^8 + 7680*a^11*b^6*c^21*d^15*f^8 - 13952*a^12*b^5*c^2*d^34*f^8 - 115840*a^12*b^5*c^4*d^32*f^8 - 455168*a^12*b^5*c^6*d^30*f^8 - 1060864*a^12*b^5*c^8*d^28*f^8 - 1600256*a^12*b^5*c^10*d^26*f^8 - 1614592*a^12*b^5*c^12*d^24*f^8 - 1088000*a^12*b^5*c^14*d^22*f^8 - 471808*a^12*b^5*c^16*d^20*f^8 - 119424*a^12*b^5*c^18*d^18*f^8 - 13440*a^12*b^5*c^20*d^16*f^8 + 34304*a^13*b^4*c^3*d^33*f^8 + 154624*a^13*b^4*c^5*d^31*f^8 + 401408*a^13*b^4*c^7*d^29*f^8 + 663040*a^13*b^4*c^9*d^27*f^8 + 723968*a^13*b^4*c^11*d^25*f^8 + 523264*a^13*b^4*c^13*d^23*f^8 + 241664*a^13*b^4*c^15*d^21*f^8 + 64768*a^13*b^4*c^17*d^19*f^8 + 7680*a^13*b^4*c^19*d^17*f^8 - 5248*a^14*b^3*c^2*d^34*f^8 - 28160*a^14*b^3*c^4*d^32*f^8 - 82432*a^14*b^3*c^6*d^30*f^8 - 148736*a^14*b^3*c^8*d^28*f^8 - 173824*a^14*b^3*c^10*d^26*f^8 - 132608*a^14*b^3*c^12*d^24*f^8 - 64000*a^14*b^3*c^14*d^22*f^8 - 17792*a^14*b^3*c^16*d^20*f^8 - 2176*a^14*b^3*c^18*d^18*f^8 + 2048*a^15*b^2*c^3*d^33*f^8 + 7168*a^15*b^2*c^5*d^31*f^8 + 14336*a^15*b^2*c^7*d^29*f^8 + 17920*a^15*b^2*c^9*d^27*f^8 + 14336*a^15*b^2*c^11*d^25*f^8 + 7168*a^15*b^2*c^13*d^23*f^8 + 2048*a^15*b^2*c^15*d^21*f^8 + 256*a^15*b^2*c^17*d^19*f^8 - 4096*a*b^16*c^7*d^29*f^8 - 42240*a*b^16*c^9*d^27*f^8 - 194048*a*b^16*c^11*d^25*f^8 - 523264*a*b^16*c^13*d^23*f^8 - 917504*a*b^16*c^15*d^21*f^8 - 1093120*a*b^16*c^17*d^19*f^8 - 896000*a*b^16*c^19*d^17*f^8 - 498688*a*b^16*c^21*d^15*f^8 - 180224*a*b^16*c^23*d^13*f^8 - 38144*a*b^16*c^25*d^11*f^8 - 3584*a*b^16*c^27*d^9*f^8 - 4096*a^7*b^10*c*d^35*f^8 - 5376*a^9*b^8*c*d^35*f^8 + 1792*a^11*b^6*c*d^35*f^8 + 3328*a^13*b^4*c*d^35*f^8 + 256*a^15*b^2*c*d^35*f^8))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f))*(-b^5*(a*d - b*c)^3)^(1/2))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) - 128*a^7*b^8*d^33*f^6 + 32*a^11*b^4*d^33*f^6 + 32*a^13*b^2*d^33*f^6 + 128*b^15*c^7*d^26*f^6 + 128*b^15*c^9*d^24*f^6 - 2592*b^15*c^11*d^22*f^6 - 10976*b^15*c^13*d^20*f^6 - 20384*b^15*c^15*d^18*f^6 - 20832*b^15*c^17*d^16*f^6 - 11872*b^15*c^19*d^14*f^6 - 3232*b^15*c^21*d^12*f^6 - 96*b^15*c^23*d^10*f^6 + 96*b^15*c^25*d^8*f^6 + 2688*a^2*b^13*c^5*d^28*f^6 + 6272*a^2*b^13*c^7*d^26*f^6 - 34016*a^2*b^13*c^9*d^24*f^6 - 187968*a^2*b^13*c^11*d^22*f^6 - 400960*a^2*b^13*c^13*d^20*f^6 - 476224*a^2*b^13*c^15*d^18*f^6 - 338688*a^2*b^13*c^17*d^16*f^6 - 142016*a^2*b^13*c^19*d^14*f^6 - 31808*a^2*b^13*c^21*d^12*f^6 - 2880*a^2*b^13*c^23*d^10*f^6 - 32*a^2*b^13*c^25*d^8*f^6 - 4480*a^3*b^12*c^4*d^29*f^6 - 15232*a^3*b^12*c^6*d^27*f^6 + 30368*a^3*b^12*c^8*d^25*f^6 + 263104*a^3*b^12*c^10*d^23*f^6 + 652736*a^3*b^12*c^12*d^21*f^6 + 882112*a^3*b^12*c^14*d^19*f^6 + 723968*a^3*b^12*c^16*d^17*f^6 + 363328*a^3*b^12*c^18*d^15*f^6 + 104384*a^3*b^12*c^20*d^13*f^6 + 14016*a^3*b^12*c^22*d^11*f^6 + 352*a^3*b^12*c^24*d^9*f^6 + 4480*a^4*b^11*c^3*d^30*f^6 + 22400*a^4*b^11*c^5*d^28*f^6 + 7360*a^4*b^11*c^7*d^26*f^6 - 201120*a^4*b^11*c^9*d^24*f^6 - 673120*a^4*b^11*c^11*d^22*f^6 - 1096480*a^4*b^11*c^13*d^20*f^6 - 1058400*a^4*b^11*c^15*d^18*f^6 - 623840*a^4*b^11*c^17*d^16*f^6 - 213920*a^4*b^11*c^19*d^14*f^6 - 36320*a^4*b^11*c^21*d^12*f^6 - 1760*a^4*b^11*c^23*d^10*f^6 - 2688*a^5*b^10*c^2*d^31*f^6 - 20608*a^5*b^10*c^4*d^29*f^6 - 38976*a^5*b^10*c^6*d^27*f^6 + 83680*a^5*b^10*c^8*d^25*f^6 + 510496*a^5*b^10*c^10*d^23*f^6 + 1042272*a^5*b^10*c^12*d^21*f^6 + 1178912*a^5*b^10*c^14*d^19*f^6 + 799904*a^5*b^10*c^16*d^17*f^6 + 319200*a^5*b^10*c^18*d^15*f^6 + 66976*a^5*b^10*c^20*d^13*f^6 + 5280*a^5*b^10*c^22*d^11*f^6 + 11648*a^6*b^9*c^3*d^30*f^6 + 31808*a^6*b^9*c^5*d^28*f^6 - 38784*a^6*b^9*c^7*d^26*f^6 - 371840*a^6*b^9*c^9*d^24*f^6 - 877184*a^6*b^9*c^11*d^22*f^6 - 1112832*a^6*b^9*c^13*d^20*f^6 - 848512*a^6*b^9*c^15*d^18*f^6 - 388864*a^6*b^9*c^17*d^16*f^6 - 98560*a^6*b^9*c^19*d^14*f^6 - 10560*a^6*b^9*c^21*d^12*f^6 - 3712*a^7*b^8*c^2*d^31*f^6 - 8384*a^7*b^8*c^4*d^29*f^6 + 49280*a^7*b^8*c^6*d^27*f^6 + 294784*a^7*b^8*c^8*d^25*f^6 + 699776*a^7*b^8*c^10*d^23*f^6 + 947968*a^7*b^8*c^12*d^21*f^6 + 791936*a^7*b^8*c^14*d^19*f^6 + 405760*a^7*b^8*c^16*d^17*f^6 + 117504*a^7*b^8*c^18*d^15*f^6 + 14784*a^7*b^8*c^20*d^13*f^6 - 2208*a^8*b^7*c^3*d^30*f^6 - 44576*a^8*b^7*c^5*d^28*f^6 - 207200*a^8*b^7*c^7*d^26*f^6 - 495264*a^8*b^7*c^9*d^24*f^6 - 709408*a^8*b^7*c^11*d^22*f^6 - 635488*a^8*b^7*c^13*d^20*f^6 - 350496*a^8*b^7*c^15*d^18*f^6 - 109280*a^8*b^7*c^17*d^16*f^6 - 14784*a^8*b^7*c^19*d^14*f^6 + 1760*a^9*b^6*c^2*d^31*f^6 + 22880*a^9*b^6*c^4*d^29*f^6 + 110880*a^9*b^6*c^6*d^27*f^6 + 283360*a^9*b^6*c^8*d^25*f^6 + 431200*a^9*b^6*c^10*d^23*f^6 + 406560*a^9*b^6*c^12*d^21*f^6 + 234080*a^9*b^6*c^14*d^19*f^6 + 75680*a^9*b^6*c^16*d^17*f^6 + 10560*a^9*b^6*c^18*d^15*f^6 - 7744*a^10*b^5*c^3*d^30*f^6 - 44352*a^10*b^5*c^5*d^28*f^6 - 123200*a^10*b^5*c^7*d^26*f^6 - 197120*a^10*b^5*c^9*d^24*f^6 - 192192*a^10*b^5*c^11*d^22*f^6 - 113344*a^10*b^5*c^13*d^20*f^6 - 37312*a^10*b^5*c^15*d^18*f^6 - 5280*a^10*b^5*c^17*d^16*f^6 + 1984*a^11*b^4*c^2*d^31*f^6 + 12992*a^11*b^4*c^4*d^29*f^6 + 38080*a^11*b^4*c^6*d^27*f^6 + 62720*a^11*b^4*c^8*d^25*f^6 + 62272*a^11*b^4*c^10*d^23*f^6 + 37184*a^11*b^4*c^12*d^21*f^6 + 12352*a^11*b^4*c^14*d^19*f^6 + 1760*a^11*b^4*c^16*d^17*f^6 - 2464*a^12*b^3*c^3*d^30*f^6 - 7392*a^12*b^3*c^5*d^28*f^6 - 12320*a^12*b^3*c^7*d^26*f^6 - 12320*a^12*b^3*c^9*d^24*f^6 - 7392*a^12*b^3*c^11*d^22*f^6 - 2464*a^12*b^3*c^13*d^20*f^6 - 352*a^12*b^3*c^15*d^18*f^6 + 224*a^13*b^2*c^2*d^31*f^6 + 672*a^13*b^2*c^4*d^29*f^6 + 1120*a^13*b^2*c^6*d^27*f^6 + 1120*a^13*b^2*c^8*d^25*f^6 + 672*a^13*b^2*c^10*d^23*f^6 + 224*a^13*b^2*c^12*d^21*f^6 + 32*a^13*b^2*c^14*d^19*f^6 - 896*a*b^14*c^6*d^27*f^6 - 1408*a*b^14*c^8*d^25*f^6 + 15200*a*b^14*c^10*d^23*f^6 + 70560*a*b^14*c^12*d^21*f^6 + 138208*a*b^14*c^14*d^19*f^6 + 150304*a*b^14*c^16*d^17*f^6 + 94752*a*b^14*c^18*d^15*f^6 + 32480*a*b^14*c^20*d^13*f^6 + 4640*a*b^14*c^22*d^11*f^6 - 32*a*b^14*c^24*d^9*f^6 + 896*a^6*b^9*c*d^32*f^6 + 512*a^8*b^7*c*d^32*f^6 - 352*a^10*b^5*c*d^32*f^6 - 352*a^12*b^3*c*d^32*f^6))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f)))/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f)))*(-b^5*(a*d - b*c)^3)^(1/2)*2i)/(a^5*d^3*f - b^5*c^3*f - a^2*b^3*c^3*f + a^3*b^2*d^3*f + 3*a*b^4*c^2*d*f - 3*a^4*b*c*d^2*f - 3*a^2*b^3*c*d^2*f + 3*a^3*b^2*c^2*d*f) - (2*d^2)/(f*(c + d*tan(e + f*x))^(1/2)*(a*d^3 - b*c^3 + a*c^2*d - b*c*d^2))","B"
1258,-1,-1,314,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^(3/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1259,1,43980,290,35.672996,"\text{Not used}","int((a + b*tan(e + f*x))^4/(c + d*tan(e + f*x))^(5/2),x)","-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4+192\,a^2\,b^2\,d^{21}\,f^4-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(192\,a^2\,b^2\,d^{21}\,f^4-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4+192\,a^2\,b^2\,d^{21}\,f^4-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}+\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(192\,a^2\,b^2\,d^{21}\,f^4-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}+64\,a\,b^{11}\,d^{16}\,f^2-64\,a^{11}\,b\,d^{16}\,f^2-32\,a^{12}\,c\,d^{15}\,f^2-32\,b^{12}\,c\,d^{15}\,f^2+192\,a^3\,b^9\,d^{16}\,f^2+128\,a^5\,b^7\,d^{16}\,f^2-128\,a^7\,b^5\,d^{16}\,f^2-192\,a^9\,b^3\,d^{16}\,f^2-192\,a^{12}\,c^3\,d^{13}\,f^2-480\,a^{12}\,c^5\,d^{11}\,f^2-640\,a^{12}\,c^7\,d^9\,f^2-480\,a^{12}\,c^9\,d^7\,f^2-192\,a^{12}\,c^{11}\,d^5\,f^2-32\,a^{12}\,c^{13}\,d^3\,f^2-192\,b^{12}\,c^3\,d^{13}\,f^2-480\,b^{12}\,c^5\,d^{11}\,f^2-640\,b^{12}\,c^7\,d^9\,f^2-480\,b^{12}\,c^9\,d^7\,f^2-192\,b^{12}\,c^{11}\,d^5\,f^2-32\,b^{12}\,c^{13}\,d^3\,f^2+384\,a^2\,b^{10}\,c^3\,d^{13}\,f^2+960\,a^2\,b^{10}\,c^5\,d^{11}\,f^2+1280\,a^2\,b^{10}\,c^7\,d^9\,f^2+960\,a^2\,b^{10}\,c^9\,d^7\,f^2+384\,a^2\,b^{10}\,c^{11}\,d^5\,f^2+64\,a^2\,b^{10}\,c^{13}\,d^3\,f^2+960\,a^3\,b^9\,c^2\,d^{14}\,f^2+1728\,a^3\,b^9\,c^4\,d^{12}\,f^2+960\,a^3\,b^9\,c^6\,d^{10}\,f^2-960\,a^3\,b^9\,c^8\,d^8\,f^2-1728\,a^3\,b^9\,c^{10}\,d^6\,f^2-960\,a^3\,b^9\,c^{12}\,d^4\,f^2-192\,a^3\,b^9\,c^{14}\,d^2\,f^2+3264\,a^4\,b^8\,c^3\,d^{13}\,f^2+8160\,a^4\,b^8\,c^5\,d^{11}\,f^2+10880\,a^4\,b^8\,c^7\,d^9\,f^2+8160\,a^4\,b^8\,c^9\,d^7\,f^2+3264\,a^4\,b^8\,c^{11}\,d^5\,f^2+544\,a^4\,b^8\,c^{13}\,d^3\,f^2+640\,a^5\,b^7\,c^2\,d^{14}\,f^2+1152\,a^5\,b^7\,c^4\,d^{12}\,f^2+640\,a^5\,b^7\,c^6\,d^{10}\,f^2-640\,a^5\,b^7\,c^8\,d^8\,f^2-1152\,a^5\,b^7\,c^{10}\,d^6\,f^2-640\,a^5\,b^7\,c^{12}\,d^4\,f^2-128\,a^5\,b^7\,c^{14}\,d^2\,f^2+5376\,a^6\,b^6\,c^3\,d^{13}\,f^2+13440\,a^6\,b^6\,c^5\,d^{11}\,f^2+17920\,a^6\,b^6\,c^7\,d^9\,f^2+13440\,a^6\,b^6\,c^9\,d^7\,f^2+5376\,a^6\,b^6\,c^{11}\,d^5\,f^2+896\,a^6\,b^6\,c^{13}\,d^3\,f^2-640\,a^7\,b^5\,c^2\,d^{14}\,f^2-1152\,a^7\,b^5\,c^4\,d^{12}\,f^2-640\,a^7\,b^5\,c^6\,d^{10}\,f^2+640\,a^7\,b^5\,c^8\,d^8\,f^2+1152\,a^7\,b^5\,c^{10}\,d^6\,f^2+640\,a^7\,b^5\,c^{12}\,d^4\,f^2+128\,a^7\,b^5\,c^{14}\,d^2\,f^2+3264\,a^8\,b^4\,c^3\,d^{13}\,f^2+8160\,a^8\,b^4\,c^5\,d^{11}\,f^2+10880\,a^8\,b^4\,c^7\,d^9\,f^2+8160\,a^8\,b^4\,c^9\,d^7\,f^2+3264\,a^8\,b^4\,c^{11}\,d^5\,f^2+544\,a^8\,b^4\,c^{13}\,d^3\,f^2-960\,a^9\,b^3\,c^2\,d^{14}\,f^2-1728\,a^9\,b^3\,c^4\,d^{12}\,f^2-960\,a^9\,b^3\,c^6\,d^{10}\,f^2+960\,a^9\,b^3\,c^8\,d^8\,f^2+1728\,a^9\,b^3\,c^{10}\,d^6\,f^2+960\,a^9\,b^3\,c^{12}\,d^4\,f^2+192\,a^9\,b^3\,c^{14}\,d^2\,f^2+384\,a^{10}\,b^2\,c^3\,d^{13}\,f^2+960\,a^{10}\,b^2\,c^5\,d^{11}\,f^2+1280\,a^{10}\,b^2\,c^7\,d^9\,f^2+960\,a^{10}\,b^2\,c^9\,d^7\,f^2+384\,a^{10}\,b^2\,c^{11}\,d^5\,f^2+64\,a^{10}\,b^2\,c^{13}\,d^3\,f^2+320\,a\,b^{11}\,c^2\,d^{14}\,f^2+576\,a\,b^{11}\,c^4\,d^{12}\,f^2+320\,a\,b^{11}\,c^6\,d^{10}\,f^2-320\,a\,b^{11}\,c^8\,d^8\,f^2-576\,a\,b^{11}\,c^{10}\,d^6\,f^2-320\,a\,b^{11}\,c^{12}\,d^4\,f^2-64\,a\,b^{11}\,c^{14}\,d^2\,f^2+64\,a^2\,b^{10}\,c\,d^{15}\,f^2+544\,a^4\,b^8\,c\,d^{15}\,f^2+896\,a^6\,b^6\,c\,d^{15}\,f^2+544\,a^8\,b^4\,c\,d^{15}\,f^2+64\,a^{10}\,b^2\,c\,d^{15}\,f^2-320\,a^{11}\,b\,c^2\,d^{14}\,f^2-576\,a^{11}\,b\,c^4\,d^{12}\,f^2-320\,a^{11}\,b\,c^6\,d^{10}\,f^2+320\,a^{11}\,b\,c^8\,d^8\,f^2+576\,a^{11}\,b\,c^{10}\,d^6\,f^2+320\,a^{11}\,b\,c^{12}\,d^4\,f^2+64\,a^{11}\,b\,c^{14}\,d^2\,f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}-4\,a^8\,c^5\,f^2-4\,b^8\,c^5\,f^2+32\,a\,b^7\,d^5\,f^2-32\,a^7\,b\,d^5\,f^2-20\,a^8\,c\,d^4\,f^2-20\,b^8\,c\,d^4\,f^2+112\,a^2\,b^6\,c^5\,f^2-280\,a^4\,b^4\,c^5\,f^2+112\,a^6\,b^2\,c^5\,f^2-224\,a^3\,b^5\,d^5\,f^2+224\,a^5\,b^3\,d^5\,f^2+40\,a^8\,c^3\,d^2\,f^2+40\,b^8\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c^3\,d^2\,f^2+2240\,a^3\,b^5\,c^2\,d^3\,f^2+2800\,a^4\,b^4\,c^3\,d^2\,f^2-2240\,a^5\,b^3\,c^2\,d^3\,f^2-1120\,a^6\,b^2\,c^3\,d^2\,f^2+160\,a\,b^7\,c^4\,d\,f^2-160\,a^7\,b\,c^4\,d\,f^2-320\,a\,b^7\,c^2\,d^3\,f^2+560\,a^2\,b^6\,c\,d^4\,f^2-1120\,a^3\,b^5\,c^4\,d\,f^2-1400\,a^4\,b^4\,c\,d^4\,f^2+1120\,a^5\,b^3\,c^4\,d\,f^2+560\,a^6\,b^2\,c\,d^4\,f^2+320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4+192\,a^2\,b^2\,d^{21}\,f^4-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(192\,a^2\,b^2\,d^{21}\,f^4-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4+192\,a^2\,b^2\,d^{21}\,f^4-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}+\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(192\,a^2\,b^2\,d^{21}\,f^4-32\,a^4\,d^{21}\,f^4-32\,b^4\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^4\,c^2\,d^{19}\,f^4-128\,a^4\,c^4\,d^{17}\,f^4+896\,a^4\,c^6\,d^{15}\,f^4+3136\,a^4\,c^8\,d^{13}\,f^4+4928\,a^4\,c^{10}\,d^{11}\,f^4+4480\,a^4\,c^{12}\,d^9\,f^4+2432\,a^4\,c^{14}\,d^7\,f^4+736\,a^4\,c^{16}\,d^5\,f^4+96\,a^4\,c^{18}\,d^3\,f^4-160\,b^4\,c^2\,d^{19}\,f^4-128\,b^4\,c^4\,d^{17}\,f^4+896\,b^4\,c^6\,d^{15}\,f^4+3136\,b^4\,c^8\,d^{13}\,f^4+4928\,b^4\,c^{10}\,d^{11}\,f^4+4480\,b^4\,c^{12}\,d^9\,f^4+2432\,b^4\,c^{14}\,d^7\,f^4+736\,b^4\,c^{16}\,d^5\,f^4+96\,b^4\,c^{18}\,d^3\,f^4+960\,a^2\,b^2\,c^2\,d^{19}\,f^4+768\,a^2\,b^2\,c^4\,d^{17}\,f^4-5376\,a^2\,b^2\,c^6\,d^{15}\,f^4-18816\,a^2\,b^2\,c^8\,d^{13}\,f^4-29568\,a^2\,b^2\,c^{10}\,d^{11}\,f^4-26880\,a^2\,b^2\,c^{12}\,d^9\,f^4-14592\,a^2\,b^2\,c^{14}\,d^7\,f^4-4416\,a^2\,b^2\,c^{16}\,d^5\,f^4-576\,a^2\,b^2\,c^{18}\,d^3\,f^4-384\,a\,b^3\,c\,d^{20}\,f^4+384\,a^3\,b\,c\,d^{20}\,f^4-2944\,a\,b^3\,c^3\,d^{18}\,f^4-9728\,a\,b^3\,c^5\,d^{16}\,f^4-17920\,a\,b^3\,c^7\,d^{14}\,f^4-19712\,a\,b^3\,c^9\,d^{12}\,f^4-12544\,a\,b^3\,c^{11}\,d^{10}\,f^4-3584\,a\,b^3\,c^{13}\,d^8\,f^4+512\,a\,b^3\,c^{15}\,d^6\,f^4+640\,a\,b^3\,c^{17}\,d^4\,f^4+128\,a\,b^3\,c^{19}\,d^2\,f^4+2944\,a^3\,b\,c^3\,d^{18}\,f^4+9728\,a^3\,b\,c^5\,d^{16}\,f^4+17920\,a^3\,b\,c^7\,d^{14}\,f^4+19712\,a^3\,b\,c^9\,d^{12}\,f^4+12544\,a^3\,b\,c^{11}\,d^{10}\,f^4+3584\,a^3\,b\,c^{13}\,d^8\,f^4-512\,a^3\,b\,c^{15}\,d^6\,f^4-640\,a^3\,b\,c^{17}\,d^4\,f^4-128\,a^3\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^8\,c^{16}\,d^2\,f^3+320\,a^8\,c^{12}\,d^6\,f^3+1024\,a^8\,c^{10}\,d^8\,f^3+1440\,a^8\,c^8\,d^{10}\,f^3+1024\,a^8\,c^6\,d^{12}\,f^3+320\,a^8\,c^4\,d^{14}\,f^3-16\,a^8\,d^{18}\,f^3-512\,a^7\,b\,c^{15}\,d^3\,f^3-2560\,a^7\,b\,c^{13}\,d^5\,f^3-4608\,a^7\,b\,c^{11}\,d^7\,f^3-2560\,a^7\,b\,c^9\,d^9\,f^3+2560\,a^7\,b\,c^7\,d^{11}\,f^3+4608\,a^7\,b\,c^5\,d^{13}\,f^3+2560\,a^7\,b\,c^3\,d^{15}\,f^3+512\,a^7\,b\,c\,d^{17}\,f^3+448\,a^6\,b^2\,c^{16}\,d^2\,f^3-8960\,a^6\,b^2\,c^{12}\,d^6\,f^3-28672\,a^6\,b^2\,c^{10}\,d^8\,f^3-40320\,a^6\,b^2\,c^8\,d^{10}\,f^3-28672\,a^6\,b^2\,c^6\,d^{12}\,f^3-8960\,a^6\,b^2\,c^4\,d^{14}\,f^3+448\,a^6\,b^2\,d^{18}\,f^3+3584\,a^5\,b^3\,c^{15}\,d^3\,f^3+17920\,a^5\,b^3\,c^{13}\,d^5\,f^3+32256\,a^5\,b^3\,c^{11}\,d^7\,f^3+17920\,a^5\,b^3\,c^9\,d^9\,f^3-17920\,a^5\,b^3\,c^7\,d^{11}\,f^3-32256\,a^5\,b^3\,c^5\,d^{13}\,f^3-17920\,a^5\,b^3\,c^3\,d^{15}\,f^3-3584\,a^5\,b^3\,c\,d^{17}\,f^3-1120\,a^4\,b^4\,c^{16}\,d^2\,f^3+22400\,a^4\,b^4\,c^{12}\,d^6\,f^3+71680\,a^4\,b^4\,c^{10}\,d^8\,f^3+100800\,a^4\,b^4\,c^8\,d^{10}\,f^3+71680\,a^4\,b^4\,c^6\,d^{12}\,f^3+22400\,a^4\,b^4\,c^4\,d^{14}\,f^3-1120\,a^4\,b^4\,d^{18}\,f^3-3584\,a^3\,b^5\,c^{15}\,d^3\,f^3-17920\,a^3\,b^5\,c^{13}\,d^5\,f^3-32256\,a^3\,b^5\,c^{11}\,d^7\,f^3-17920\,a^3\,b^5\,c^9\,d^9\,f^3+17920\,a^3\,b^5\,c^7\,d^{11}\,f^3+32256\,a^3\,b^5\,c^5\,d^{13}\,f^3+17920\,a^3\,b^5\,c^3\,d^{15}\,f^3+3584\,a^3\,b^5\,c\,d^{17}\,f^3+448\,a^2\,b^6\,c^{16}\,d^2\,f^3-8960\,a^2\,b^6\,c^{12}\,d^6\,f^3-28672\,a^2\,b^6\,c^{10}\,d^8\,f^3-40320\,a^2\,b^6\,c^8\,d^{10}\,f^3-28672\,a^2\,b^6\,c^6\,d^{12}\,f^3-8960\,a^2\,b^6\,c^4\,d^{14}\,f^3+448\,a^2\,b^6\,d^{18}\,f^3+512\,a\,b^7\,c^{15}\,d^3\,f^3+2560\,a\,b^7\,c^{13}\,d^5\,f^3+4608\,a\,b^7\,c^{11}\,d^7\,f^3+2560\,a\,b^7\,c^9\,d^9\,f^3-2560\,a\,b^7\,c^7\,d^{11}\,f^3-4608\,a\,b^7\,c^5\,d^{13}\,f^3-2560\,a\,b^7\,c^3\,d^{15}\,f^3-512\,a\,b^7\,c\,d^{17}\,f^3-16\,b^8\,c^{16}\,d^2\,f^3+320\,b^8\,c^{12}\,d^6\,f^3+1024\,b^8\,c^{10}\,d^8\,f^3+1440\,b^8\,c^8\,d^{10}\,f^3+1024\,b^8\,c^6\,d^{12}\,f^3+320\,b^8\,c^4\,d^{14}\,f^3-16\,b^8\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}+64\,a\,b^{11}\,d^{16}\,f^2-64\,a^{11}\,b\,d^{16}\,f^2-32\,a^{12}\,c\,d^{15}\,f^2-32\,b^{12}\,c\,d^{15}\,f^2+192\,a^3\,b^9\,d^{16}\,f^2+128\,a^5\,b^7\,d^{16}\,f^2-128\,a^7\,b^5\,d^{16}\,f^2-192\,a^9\,b^3\,d^{16}\,f^2-192\,a^{12}\,c^3\,d^{13}\,f^2-480\,a^{12}\,c^5\,d^{11}\,f^2-640\,a^{12}\,c^7\,d^9\,f^2-480\,a^{12}\,c^9\,d^7\,f^2-192\,a^{12}\,c^{11}\,d^5\,f^2-32\,a^{12}\,c^{13}\,d^3\,f^2-192\,b^{12}\,c^3\,d^{13}\,f^2-480\,b^{12}\,c^5\,d^{11}\,f^2-640\,b^{12}\,c^7\,d^9\,f^2-480\,b^{12}\,c^9\,d^7\,f^2-192\,b^{12}\,c^{11}\,d^5\,f^2-32\,b^{12}\,c^{13}\,d^3\,f^2+384\,a^2\,b^{10}\,c^3\,d^{13}\,f^2+960\,a^2\,b^{10}\,c^5\,d^{11}\,f^2+1280\,a^2\,b^{10}\,c^7\,d^9\,f^2+960\,a^2\,b^{10}\,c^9\,d^7\,f^2+384\,a^2\,b^{10}\,c^{11}\,d^5\,f^2+64\,a^2\,b^{10}\,c^{13}\,d^3\,f^2+960\,a^3\,b^9\,c^2\,d^{14}\,f^2+1728\,a^3\,b^9\,c^4\,d^{12}\,f^2+960\,a^3\,b^9\,c^6\,d^{10}\,f^2-960\,a^3\,b^9\,c^8\,d^8\,f^2-1728\,a^3\,b^9\,c^{10}\,d^6\,f^2-960\,a^3\,b^9\,c^{12}\,d^4\,f^2-192\,a^3\,b^9\,c^{14}\,d^2\,f^2+3264\,a^4\,b^8\,c^3\,d^{13}\,f^2+8160\,a^4\,b^8\,c^5\,d^{11}\,f^2+10880\,a^4\,b^8\,c^7\,d^9\,f^2+8160\,a^4\,b^8\,c^9\,d^7\,f^2+3264\,a^4\,b^8\,c^{11}\,d^5\,f^2+544\,a^4\,b^8\,c^{13}\,d^3\,f^2+640\,a^5\,b^7\,c^2\,d^{14}\,f^2+1152\,a^5\,b^7\,c^4\,d^{12}\,f^2+640\,a^5\,b^7\,c^6\,d^{10}\,f^2-640\,a^5\,b^7\,c^8\,d^8\,f^2-1152\,a^5\,b^7\,c^{10}\,d^6\,f^2-640\,a^5\,b^7\,c^{12}\,d^4\,f^2-128\,a^5\,b^7\,c^{14}\,d^2\,f^2+5376\,a^6\,b^6\,c^3\,d^{13}\,f^2+13440\,a^6\,b^6\,c^5\,d^{11}\,f^2+17920\,a^6\,b^6\,c^7\,d^9\,f^2+13440\,a^6\,b^6\,c^9\,d^7\,f^2+5376\,a^6\,b^6\,c^{11}\,d^5\,f^2+896\,a^6\,b^6\,c^{13}\,d^3\,f^2-640\,a^7\,b^5\,c^2\,d^{14}\,f^2-1152\,a^7\,b^5\,c^4\,d^{12}\,f^2-640\,a^7\,b^5\,c^6\,d^{10}\,f^2+640\,a^7\,b^5\,c^8\,d^8\,f^2+1152\,a^7\,b^5\,c^{10}\,d^6\,f^2+640\,a^7\,b^5\,c^{12}\,d^4\,f^2+128\,a^7\,b^5\,c^{14}\,d^2\,f^2+3264\,a^8\,b^4\,c^3\,d^{13}\,f^2+8160\,a^8\,b^4\,c^5\,d^{11}\,f^2+10880\,a^8\,b^4\,c^7\,d^9\,f^2+8160\,a^8\,b^4\,c^9\,d^7\,f^2+3264\,a^8\,b^4\,c^{11}\,d^5\,f^2+544\,a^8\,b^4\,c^{13}\,d^3\,f^2-960\,a^9\,b^3\,c^2\,d^{14}\,f^2-1728\,a^9\,b^3\,c^4\,d^{12}\,f^2-960\,a^9\,b^3\,c^6\,d^{10}\,f^2+960\,a^9\,b^3\,c^8\,d^8\,f^2+1728\,a^9\,b^3\,c^{10}\,d^6\,f^2+960\,a^9\,b^3\,c^{12}\,d^4\,f^2+192\,a^9\,b^3\,c^{14}\,d^2\,f^2+384\,a^{10}\,b^2\,c^3\,d^{13}\,f^2+960\,a^{10}\,b^2\,c^5\,d^{11}\,f^2+1280\,a^{10}\,b^2\,c^7\,d^9\,f^2+960\,a^{10}\,b^2\,c^9\,d^7\,f^2+384\,a^{10}\,b^2\,c^{11}\,d^5\,f^2+64\,a^{10}\,b^2\,c^{13}\,d^3\,f^2+320\,a\,b^{11}\,c^2\,d^{14}\,f^2+576\,a\,b^{11}\,c^4\,d^{12}\,f^2+320\,a\,b^{11}\,c^6\,d^{10}\,f^2-320\,a\,b^{11}\,c^8\,d^8\,f^2-576\,a\,b^{11}\,c^{10}\,d^6\,f^2-320\,a\,b^{11}\,c^{12}\,d^4\,f^2-64\,a\,b^{11}\,c^{14}\,d^2\,f^2+64\,a^2\,b^{10}\,c\,d^{15}\,f^2+544\,a^4\,b^8\,c\,d^{15}\,f^2+896\,a^6\,b^6\,c\,d^{15}\,f^2+544\,a^8\,b^4\,c\,d^{15}\,f^2+64\,a^{10}\,b^2\,c\,d^{15}\,f^2-320\,a^{11}\,b\,c^2\,d^{14}\,f^2-576\,a^{11}\,b\,c^4\,d^{12}\,f^2-320\,a^{11}\,b\,c^6\,d^{10}\,f^2+320\,a^{11}\,b\,c^8\,d^8\,f^2+576\,a^{11}\,b\,c^{10}\,d^6\,f^2+320\,a^{11}\,b\,c^{12}\,d^4\,f^2+64\,a^{11}\,b\,c^{14}\,d^2\,f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^8\,c^5\,f^2-80\,a^8\,c^3\,d^2\,f^2+40\,a^8\,c\,d^4\,f^2+320\,a^7\,b\,c^4\,d\,f^2-640\,a^7\,b\,c^2\,d^3\,f^2+64\,a^7\,b\,d^5\,f^2-224\,a^6\,b^2\,c^5\,f^2+2240\,a^6\,b^2\,c^3\,d^2\,f^2-1120\,a^6\,b^2\,c\,d^4\,f^2-2240\,a^5\,b^3\,c^4\,d\,f^2+4480\,a^5\,b^3\,c^2\,d^3\,f^2-448\,a^5\,b^3\,d^5\,f^2+560\,a^4\,b^4\,c^5\,f^2-5600\,a^4\,b^4\,c^3\,d^2\,f^2+2800\,a^4\,b^4\,c\,d^4\,f^2+2240\,a^3\,b^5\,c^4\,d\,f^2-4480\,a^3\,b^5\,c^2\,d^3\,f^2+448\,a^3\,b^5\,d^5\,f^2-224\,a^2\,b^6\,c^5\,f^2+2240\,a^2\,b^6\,c^3\,d^2\,f^2-1120\,a^2\,b^6\,c\,d^4\,f^2-320\,a\,b^7\,c^4\,d\,f^2+640\,a\,b^7\,c^2\,d^3\,f^2-64\,a\,b^7\,d^5\,f^2+8\,b^8\,c^5\,f^2-80\,b^8\,c^3\,d^2\,f^2+40\,b^8\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{16}+8\,a^{14}\,b^2+28\,a^{12}\,b^4+56\,a^{10}\,b^6+70\,a^8\,b^8+56\,a^6\,b^{10}+28\,a^4\,b^{12}+8\,a^2\,b^{14}+b^{16}\right)}+4\,a^8\,c^5\,f^2+4\,b^8\,c^5\,f^2-32\,a\,b^7\,d^5\,f^2+32\,a^7\,b\,d^5\,f^2+20\,a^8\,c\,d^4\,f^2+20\,b^8\,c\,d^4\,f^2-112\,a^2\,b^6\,c^5\,f^2+280\,a^4\,b^4\,c^5\,f^2-112\,a^6\,b^2\,c^5\,f^2+224\,a^3\,b^5\,d^5\,f^2-224\,a^5\,b^3\,d^5\,f^2-40\,a^8\,c^3\,d^2\,f^2-40\,b^8\,c^3\,d^2\,f^2+1120\,a^2\,b^6\,c^3\,d^2\,f^2-2240\,a^3\,b^5\,c^2\,d^3\,f^2-2800\,a^4\,b^4\,c^3\,d^2\,f^2+2240\,a^5\,b^3\,c^2\,d^3\,f^2+1120\,a^6\,b^2\,c^3\,d^2\,f^2-160\,a\,b^7\,c^4\,d\,f^2+160\,a^7\,b\,c^4\,d\,f^2+320\,a\,b^7\,c^2\,d^3\,f^2-560\,a^2\,b^6\,c\,d^4\,f^2+1120\,a^3\,b^5\,c^4\,d\,f^2+1400\,a^4\,b^4\,c\,d^4\,f^2-1120\,a^5\,b^3\,c^4\,d\,f^2-560\,a^6\,b^2\,c\,d^4\,f^2-320\,a^7\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,2{}\mathrm{i}+\frac{2\,b^4\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{d^3\,f}-\frac{\frac{2\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{3\,\left(c^2+d^2\right)}-\frac{4\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(-a^4\,c\,d^4+2\,a^3\,b\,c^2\,d^3-2\,a^3\,b\,d^5+6\,a^2\,b^2\,c\,d^4-2\,a\,b^3\,c^4\,d-6\,a\,b^3\,c^2\,d^3+b^4\,c^5+2\,b^4\,c^3\,d^2\right)}{{\left(c^2+d^2\right)}^2}}{d^3\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"(2*b^4*(c + d*tan(e + f*x))^(1/2))/(d^3*f) - atan((((-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 + 192*a^2*b^2*d^21*f^4 - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i - ((-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(192*a^2*b^2*d^21*f^4 - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/(((-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 + 192*a^2*b^2*d^21*f^4 - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) + ((-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(192*a^2*b^2*d^21*f^4 - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) + 64*a*b^11*d^16*f^2 - 64*a^11*b*d^16*f^2 - 32*a^12*c*d^15*f^2 - 32*b^12*c*d^15*f^2 + 192*a^3*b^9*d^16*f^2 + 128*a^5*b^7*d^16*f^2 - 128*a^7*b^5*d^16*f^2 - 192*a^9*b^3*d^16*f^2 - 192*a^12*c^3*d^13*f^2 - 480*a^12*c^5*d^11*f^2 - 640*a^12*c^7*d^9*f^2 - 480*a^12*c^9*d^7*f^2 - 192*a^12*c^11*d^5*f^2 - 32*a^12*c^13*d^3*f^2 - 192*b^12*c^3*d^13*f^2 - 480*b^12*c^5*d^11*f^2 - 640*b^12*c^7*d^9*f^2 - 480*b^12*c^9*d^7*f^2 - 192*b^12*c^11*d^5*f^2 - 32*b^12*c^13*d^3*f^2 + 384*a^2*b^10*c^3*d^13*f^2 + 960*a^2*b^10*c^5*d^11*f^2 + 1280*a^2*b^10*c^7*d^9*f^2 + 960*a^2*b^10*c^9*d^7*f^2 + 384*a^2*b^10*c^11*d^5*f^2 + 64*a^2*b^10*c^13*d^3*f^2 + 960*a^3*b^9*c^2*d^14*f^2 + 1728*a^3*b^9*c^4*d^12*f^2 + 960*a^3*b^9*c^6*d^10*f^2 - 960*a^3*b^9*c^8*d^8*f^2 - 1728*a^3*b^9*c^10*d^6*f^2 - 960*a^3*b^9*c^12*d^4*f^2 - 192*a^3*b^9*c^14*d^2*f^2 + 3264*a^4*b^8*c^3*d^13*f^2 + 8160*a^4*b^8*c^5*d^11*f^2 + 10880*a^4*b^8*c^7*d^9*f^2 + 8160*a^4*b^8*c^9*d^7*f^2 + 3264*a^4*b^8*c^11*d^5*f^2 + 544*a^4*b^8*c^13*d^3*f^2 + 640*a^5*b^7*c^2*d^14*f^2 + 1152*a^5*b^7*c^4*d^12*f^2 + 640*a^5*b^7*c^6*d^10*f^2 - 640*a^5*b^7*c^8*d^8*f^2 - 1152*a^5*b^7*c^10*d^6*f^2 - 640*a^5*b^7*c^12*d^4*f^2 - 128*a^5*b^7*c^14*d^2*f^2 + 5376*a^6*b^6*c^3*d^13*f^2 + 13440*a^6*b^6*c^5*d^11*f^2 + 17920*a^6*b^6*c^7*d^9*f^2 + 13440*a^6*b^6*c^9*d^7*f^2 + 5376*a^6*b^6*c^11*d^5*f^2 + 896*a^6*b^6*c^13*d^3*f^2 - 640*a^7*b^5*c^2*d^14*f^2 - 1152*a^7*b^5*c^4*d^12*f^2 - 640*a^7*b^5*c^6*d^10*f^2 + 640*a^7*b^5*c^8*d^8*f^2 + 1152*a^7*b^5*c^10*d^6*f^2 + 640*a^7*b^5*c^12*d^4*f^2 + 128*a^7*b^5*c^14*d^2*f^2 + 3264*a^8*b^4*c^3*d^13*f^2 + 8160*a^8*b^4*c^5*d^11*f^2 + 10880*a^8*b^4*c^7*d^9*f^2 + 8160*a^8*b^4*c^9*d^7*f^2 + 3264*a^8*b^4*c^11*d^5*f^2 + 544*a^8*b^4*c^13*d^3*f^2 - 960*a^9*b^3*c^2*d^14*f^2 - 1728*a^9*b^3*c^4*d^12*f^2 - 960*a^9*b^3*c^6*d^10*f^2 + 960*a^9*b^3*c^8*d^8*f^2 + 1728*a^9*b^3*c^10*d^6*f^2 + 960*a^9*b^3*c^12*d^4*f^2 + 192*a^9*b^3*c^14*d^2*f^2 + 384*a^10*b^2*c^3*d^13*f^2 + 960*a^10*b^2*c^5*d^11*f^2 + 1280*a^10*b^2*c^7*d^9*f^2 + 960*a^10*b^2*c^9*d^7*f^2 + 384*a^10*b^2*c^11*d^5*f^2 + 64*a^10*b^2*c^13*d^3*f^2 + 320*a*b^11*c^2*d^14*f^2 + 576*a*b^11*c^4*d^12*f^2 + 320*a*b^11*c^6*d^10*f^2 - 320*a*b^11*c^8*d^8*f^2 - 576*a*b^11*c^10*d^6*f^2 - 320*a*b^11*c^12*d^4*f^2 - 64*a*b^11*c^14*d^2*f^2 + 64*a^2*b^10*c*d^15*f^2 + 544*a^4*b^8*c*d^15*f^2 + 896*a^6*b^6*c*d^15*f^2 + 544*a^8*b^4*c*d^15*f^2 + 64*a^10*b^2*c*d^15*f^2 - 320*a^11*b*c^2*d^14*f^2 - 576*a^11*b*c^4*d^12*f^2 - 320*a^11*b*c^6*d^10*f^2 + 320*a^11*b*c^8*d^8*f^2 + 576*a^11*b*c^10*d^6*f^2 + 320*a^11*b*c^12*d^4*f^2 + 64*a^11*b*c^14*d^2*f^2))*(-(((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) + 4*a^8*c^5*f^2 + 4*b^8*c^5*f^2 - 32*a*b^7*d^5*f^2 + 32*a^7*b*d^5*f^2 + 20*a^8*c*d^4*f^2 + 20*b^8*c*d^4*f^2 - 112*a^2*b^6*c^5*f^2 + 280*a^4*b^4*c^5*f^2 - 112*a^6*b^2*c^5*f^2 + 224*a^3*b^5*d^5*f^2 - 224*a^5*b^3*d^5*f^2 - 40*a^8*c^3*d^2*f^2 - 40*b^8*c^3*d^2*f^2 + 1120*a^2*b^6*c^3*d^2*f^2 - 2240*a^3*b^5*c^2*d^3*f^2 - 2800*a^4*b^4*c^3*d^2*f^2 + 2240*a^5*b^3*c^2*d^3*f^2 + 1120*a^6*b^2*c^3*d^2*f^2 - 160*a*b^7*c^4*d*f^2 + 160*a^7*b*c^4*d*f^2 + 320*a*b^7*c^2*d^3*f^2 - 560*a^2*b^6*c*d^4*f^2 + 1120*a^3*b^5*c^4*d*f^2 + 1400*a^4*b^4*c*d^4*f^2 - 1120*a^5*b^3*c^4*d*f^2 - 560*a^6*b^2*c*d^4*f^2 - 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - atan(((((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 + 192*a^2*b^2*d^21*f^4 - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i - (((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(192*a^2*b^2*d^21*f^4 - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/((((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 + 192*a^2*b^2*d^21*f^4 - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) - (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) + (((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(192*a^2*b^2*d^21*f^4 - 32*a^4*d^21*f^4 - 32*b^4*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^4*c^2*d^19*f^4 - 128*a^4*c^4*d^17*f^4 + 896*a^4*c^6*d^15*f^4 + 3136*a^4*c^8*d^13*f^4 + 4928*a^4*c^10*d^11*f^4 + 4480*a^4*c^12*d^9*f^4 + 2432*a^4*c^14*d^7*f^4 + 736*a^4*c^16*d^5*f^4 + 96*a^4*c^18*d^3*f^4 - 160*b^4*c^2*d^19*f^4 - 128*b^4*c^4*d^17*f^4 + 896*b^4*c^6*d^15*f^4 + 3136*b^4*c^8*d^13*f^4 + 4928*b^4*c^10*d^11*f^4 + 4480*b^4*c^12*d^9*f^4 + 2432*b^4*c^14*d^7*f^4 + 736*b^4*c^16*d^5*f^4 + 96*b^4*c^18*d^3*f^4 + 960*a^2*b^2*c^2*d^19*f^4 + 768*a^2*b^2*c^4*d^17*f^4 - 5376*a^2*b^2*c^6*d^15*f^4 - 18816*a^2*b^2*c^8*d^13*f^4 - 29568*a^2*b^2*c^10*d^11*f^4 - 26880*a^2*b^2*c^12*d^9*f^4 - 14592*a^2*b^2*c^14*d^7*f^4 - 4416*a^2*b^2*c^16*d^5*f^4 - 576*a^2*b^2*c^18*d^3*f^4 - 384*a*b^3*c*d^20*f^4 + 384*a^3*b*c*d^20*f^4 - 2944*a*b^3*c^3*d^18*f^4 - 9728*a*b^3*c^5*d^16*f^4 - 17920*a*b^3*c^7*d^14*f^4 - 19712*a*b^3*c^9*d^12*f^4 - 12544*a*b^3*c^11*d^10*f^4 - 3584*a*b^3*c^13*d^8*f^4 + 512*a*b^3*c^15*d^6*f^4 + 640*a*b^3*c^17*d^4*f^4 + 128*a*b^3*c^19*d^2*f^4 + 2944*a^3*b*c^3*d^18*f^4 + 9728*a^3*b*c^5*d^16*f^4 + 17920*a^3*b*c^7*d^14*f^4 + 19712*a^3*b*c^9*d^12*f^4 + 12544*a^3*b*c^11*d^10*f^4 + 3584*a^3*b*c^13*d^8*f^4 - 512*a^3*b*c^15*d^6*f^4 - 640*a^3*b*c^17*d^4*f^4 - 128*a^3*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(448*a^2*b^6*d^18*f^3 - 16*b^8*d^18*f^3 - 16*a^8*d^18*f^3 - 1120*a^4*b^4*d^18*f^3 + 448*a^6*b^2*d^18*f^3 + 320*a^8*c^4*d^14*f^3 + 1024*a^8*c^6*d^12*f^3 + 1440*a^8*c^8*d^10*f^3 + 1024*a^8*c^10*d^8*f^3 + 320*a^8*c^12*d^6*f^3 - 16*a^8*c^16*d^2*f^3 + 320*b^8*c^4*d^14*f^3 + 1024*b^8*c^6*d^12*f^3 + 1440*b^8*c^8*d^10*f^3 + 1024*b^8*c^10*d^8*f^3 + 320*b^8*c^12*d^6*f^3 - 16*b^8*c^16*d^2*f^3 - 8960*a^2*b^6*c^4*d^14*f^3 - 28672*a^2*b^6*c^6*d^12*f^3 - 40320*a^2*b^6*c^8*d^10*f^3 - 28672*a^2*b^6*c^10*d^8*f^3 - 8960*a^2*b^6*c^12*d^6*f^3 + 448*a^2*b^6*c^16*d^2*f^3 + 17920*a^3*b^5*c^3*d^15*f^3 + 32256*a^3*b^5*c^5*d^13*f^3 + 17920*a^3*b^5*c^7*d^11*f^3 - 17920*a^3*b^5*c^9*d^9*f^3 - 32256*a^3*b^5*c^11*d^7*f^3 - 17920*a^3*b^5*c^13*d^5*f^3 - 3584*a^3*b^5*c^15*d^3*f^3 + 22400*a^4*b^4*c^4*d^14*f^3 + 71680*a^4*b^4*c^6*d^12*f^3 + 100800*a^4*b^4*c^8*d^10*f^3 + 71680*a^4*b^4*c^10*d^8*f^3 + 22400*a^4*b^4*c^12*d^6*f^3 - 1120*a^4*b^4*c^16*d^2*f^3 - 17920*a^5*b^3*c^3*d^15*f^3 - 32256*a^5*b^3*c^5*d^13*f^3 - 17920*a^5*b^3*c^7*d^11*f^3 + 17920*a^5*b^3*c^9*d^9*f^3 + 32256*a^5*b^3*c^11*d^7*f^3 + 17920*a^5*b^3*c^13*d^5*f^3 + 3584*a^5*b^3*c^15*d^3*f^3 - 8960*a^6*b^2*c^4*d^14*f^3 - 28672*a^6*b^2*c^6*d^12*f^3 - 40320*a^6*b^2*c^8*d^10*f^3 - 28672*a^6*b^2*c^10*d^8*f^3 - 8960*a^6*b^2*c^12*d^6*f^3 + 448*a^6*b^2*c^16*d^2*f^3 - 512*a*b^7*c*d^17*f^3 + 512*a^7*b*c*d^17*f^3 - 2560*a*b^7*c^3*d^15*f^3 - 4608*a*b^7*c^5*d^13*f^3 - 2560*a*b^7*c^7*d^11*f^3 + 2560*a*b^7*c^9*d^9*f^3 + 4608*a*b^7*c^11*d^7*f^3 + 2560*a*b^7*c^13*d^5*f^3 + 512*a*b^7*c^15*d^3*f^3 + 3584*a^3*b^5*c*d^17*f^3 - 3584*a^5*b^3*c*d^17*f^3 + 2560*a^7*b*c^3*d^15*f^3 + 4608*a^7*b*c^5*d^13*f^3 + 2560*a^7*b*c^7*d^11*f^3 - 2560*a^7*b*c^9*d^9*f^3 - 4608*a^7*b*c^11*d^7*f^3 - 2560*a^7*b*c^13*d^5*f^3 - 512*a^7*b*c^15*d^3*f^3))*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) + 64*a*b^11*d^16*f^2 - 64*a^11*b*d^16*f^2 - 32*a^12*c*d^15*f^2 - 32*b^12*c*d^15*f^2 + 192*a^3*b^9*d^16*f^2 + 128*a^5*b^7*d^16*f^2 - 128*a^7*b^5*d^16*f^2 - 192*a^9*b^3*d^16*f^2 - 192*a^12*c^3*d^13*f^2 - 480*a^12*c^5*d^11*f^2 - 640*a^12*c^7*d^9*f^2 - 480*a^12*c^9*d^7*f^2 - 192*a^12*c^11*d^5*f^2 - 32*a^12*c^13*d^3*f^2 - 192*b^12*c^3*d^13*f^2 - 480*b^12*c^5*d^11*f^2 - 640*b^12*c^7*d^9*f^2 - 480*b^12*c^9*d^7*f^2 - 192*b^12*c^11*d^5*f^2 - 32*b^12*c^13*d^3*f^2 + 384*a^2*b^10*c^3*d^13*f^2 + 960*a^2*b^10*c^5*d^11*f^2 + 1280*a^2*b^10*c^7*d^9*f^2 + 960*a^2*b^10*c^9*d^7*f^2 + 384*a^2*b^10*c^11*d^5*f^2 + 64*a^2*b^10*c^13*d^3*f^2 + 960*a^3*b^9*c^2*d^14*f^2 + 1728*a^3*b^9*c^4*d^12*f^2 + 960*a^3*b^9*c^6*d^10*f^2 - 960*a^3*b^9*c^8*d^8*f^2 - 1728*a^3*b^9*c^10*d^6*f^2 - 960*a^3*b^9*c^12*d^4*f^2 - 192*a^3*b^9*c^14*d^2*f^2 + 3264*a^4*b^8*c^3*d^13*f^2 + 8160*a^4*b^8*c^5*d^11*f^2 + 10880*a^4*b^8*c^7*d^9*f^2 + 8160*a^4*b^8*c^9*d^7*f^2 + 3264*a^4*b^8*c^11*d^5*f^2 + 544*a^4*b^8*c^13*d^3*f^2 + 640*a^5*b^7*c^2*d^14*f^2 + 1152*a^5*b^7*c^4*d^12*f^2 + 640*a^5*b^7*c^6*d^10*f^2 - 640*a^5*b^7*c^8*d^8*f^2 - 1152*a^5*b^7*c^10*d^6*f^2 - 640*a^5*b^7*c^12*d^4*f^2 - 128*a^5*b^7*c^14*d^2*f^2 + 5376*a^6*b^6*c^3*d^13*f^2 + 13440*a^6*b^6*c^5*d^11*f^2 + 17920*a^6*b^6*c^7*d^9*f^2 + 13440*a^6*b^6*c^9*d^7*f^2 + 5376*a^6*b^6*c^11*d^5*f^2 + 896*a^6*b^6*c^13*d^3*f^2 - 640*a^7*b^5*c^2*d^14*f^2 - 1152*a^7*b^5*c^4*d^12*f^2 - 640*a^7*b^5*c^6*d^10*f^2 + 640*a^7*b^5*c^8*d^8*f^2 + 1152*a^7*b^5*c^10*d^6*f^2 + 640*a^7*b^5*c^12*d^4*f^2 + 128*a^7*b^5*c^14*d^2*f^2 + 3264*a^8*b^4*c^3*d^13*f^2 + 8160*a^8*b^4*c^5*d^11*f^2 + 10880*a^8*b^4*c^7*d^9*f^2 + 8160*a^8*b^4*c^9*d^7*f^2 + 3264*a^8*b^4*c^11*d^5*f^2 + 544*a^8*b^4*c^13*d^3*f^2 - 960*a^9*b^3*c^2*d^14*f^2 - 1728*a^9*b^3*c^4*d^12*f^2 - 960*a^9*b^3*c^6*d^10*f^2 + 960*a^9*b^3*c^8*d^8*f^2 + 1728*a^9*b^3*c^10*d^6*f^2 + 960*a^9*b^3*c^12*d^4*f^2 + 192*a^9*b^3*c^14*d^2*f^2 + 384*a^10*b^2*c^3*d^13*f^2 + 960*a^10*b^2*c^5*d^11*f^2 + 1280*a^10*b^2*c^7*d^9*f^2 + 960*a^10*b^2*c^9*d^7*f^2 + 384*a^10*b^2*c^11*d^5*f^2 + 64*a^10*b^2*c^13*d^3*f^2 + 320*a*b^11*c^2*d^14*f^2 + 576*a*b^11*c^4*d^12*f^2 + 320*a*b^11*c^6*d^10*f^2 - 320*a*b^11*c^8*d^8*f^2 - 576*a*b^11*c^10*d^6*f^2 - 320*a*b^11*c^12*d^4*f^2 - 64*a*b^11*c^14*d^2*f^2 + 64*a^2*b^10*c*d^15*f^2 + 544*a^4*b^8*c*d^15*f^2 + 896*a^6*b^6*c*d^15*f^2 + 544*a^8*b^4*c*d^15*f^2 + 64*a^10*b^2*c*d^15*f^2 - 320*a^11*b*c^2*d^14*f^2 - 576*a^11*b*c^4*d^12*f^2 - 320*a^11*b*c^6*d^10*f^2 + 320*a^11*b*c^8*d^8*f^2 + 576*a^11*b*c^10*d^6*f^2 + 320*a^11*b*c^12*d^4*f^2 + 64*a^11*b*c^14*d^2*f^2))*((((8*a^8*c^5*f^2 + 8*b^8*c^5*f^2 - 64*a*b^7*d^5*f^2 + 64*a^7*b*d^5*f^2 + 40*a^8*c*d^4*f^2 + 40*b^8*c*d^4*f^2 - 224*a^2*b^6*c^5*f^2 + 560*a^4*b^4*c^5*f^2 - 224*a^6*b^2*c^5*f^2 + 448*a^3*b^5*d^5*f^2 - 448*a^5*b^3*d^5*f^2 - 80*a^8*c^3*d^2*f^2 - 80*b^8*c^3*d^2*f^2 + 2240*a^2*b^6*c^3*d^2*f^2 - 4480*a^3*b^5*c^2*d^3*f^2 - 5600*a^4*b^4*c^3*d^2*f^2 + 4480*a^5*b^3*c^2*d^3*f^2 + 2240*a^6*b^2*c^3*d^2*f^2 - 320*a*b^7*c^4*d*f^2 + 320*a^7*b*c^4*d*f^2 + 640*a*b^7*c^2*d^3*f^2 - 1120*a^2*b^6*c*d^4*f^2 + 2240*a^3*b^5*c^4*d*f^2 + 2800*a^4*b^4*c*d^4*f^2 - 2240*a^5*b^3*c^4*d*f^2 - 1120*a^6*b^2*c*d^4*f^2 - 640*a^7*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^16 + b^16 + 8*a^2*b^14 + 28*a^4*b^12 + 56*a^6*b^10 + 70*a^8*b^8 + 56*a^10*b^6 + 28*a^12*b^4 + 8*a^14*b^2))^(1/2) - 4*a^8*c^5*f^2 - 4*b^8*c^5*f^2 + 32*a*b^7*d^5*f^2 - 32*a^7*b*d^5*f^2 - 20*a^8*c*d^4*f^2 - 20*b^8*c*d^4*f^2 + 112*a^2*b^6*c^5*f^2 - 280*a^4*b^4*c^5*f^2 + 112*a^6*b^2*c^5*f^2 - 224*a^3*b^5*d^5*f^2 + 224*a^5*b^3*d^5*f^2 + 40*a^8*c^3*d^2*f^2 + 40*b^8*c^3*d^2*f^2 - 1120*a^2*b^6*c^3*d^2*f^2 + 2240*a^3*b^5*c^2*d^3*f^2 + 2800*a^4*b^4*c^3*d^2*f^2 - 2240*a^5*b^3*c^2*d^3*f^2 - 1120*a^6*b^2*c^3*d^2*f^2 + 160*a*b^7*c^4*d*f^2 - 160*a^7*b*c^4*d*f^2 - 320*a*b^7*c^2*d^3*f^2 + 560*a^2*b^6*c*d^4*f^2 - 1120*a^3*b^5*c^4*d*f^2 - 1400*a^4*b^4*c*d^4*f^2 + 1120*a^5*b^3*c^4*d*f^2 + 560*a^6*b^2*c*d^4*f^2 + 320*a^7*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - ((2*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(3*(c^2 + d^2)) - (4*(c + d*tan(e + f*x))*(b^4*c^5 - 2*a^3*b*d^5 - a^4*c*d^4 + 2*b^4*c^3*d^2 - 6*a*b^3*c^2*d^3 + 6*a^2*b^2*c*d^4 + 2*a^3*b*c^2*d^3 - 2*a*b^3*c^4*d))/(c^2 + d^2)^2)/(d^3*f*(c + d*tan(e + f*x))^(3/2))","B"
1260,1,34142,219,24.497200,"\text{Not used}","int((a + b*tan(e + f*x))^3/(c + d*tan(e + f*x))^(5/2),x)","-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^3\,d^{21}\,f^4+96\,a\,b^2\,d^{21}\,f^4-96\,b^3\,c\,d^{20}\,f^4-160\,a^3\,c^2\,d^{19}\,f^4-128\,a^3\,c^4\,d^{17}\,f^4+896\,a^3\,c^6\,d^{15}\,f^4+3136\,a^3\,c^8\,d^{13}\,f^4+4928\,a^3\,c^{10}\,d^{11}\,f^4+4480\,a^3\,c^{12}\,d^9\,f^4+2432\,a^3\,c^{14}\,d^7\,f^4+736\,a^3\,c^{16}\,d^5\,f^4+96\,a^3\,c^{18}\,d^3\,f^4-736\,b^3\,c^3\,d^{18}\,f^4-2432\,b^3\,c^5\,d^{16}\,f^4-4480\,b^3\,c^7\,d^{14}\,f^4-4928\,b^3\,c^9\,d^{12}\,f^4-3136\,b^3\,c^{11}\,d^{10}\,f^4-896\,b^3\,c^{13}\,d^8\,f^4+128\,b^3\,c^{15}\,d^6\,f^4+160\,b^3\,c^{17}\,d^4\,f^4+32\,b^3\,c^{19}\,d^2\,f^4+288\,a^2\,b\,c\,d^{20}\,f^4+480\,a\,b^2\,c^2\,d^{19}\,f^4+384\,a\,b^2\,c^4\,d^{17}\,f^4-2688\,a\,b^2\,c^6\,d^{15}\,f^4-9408\,a\,b^2\,c^8\,d^{13}\,f^4-14784\,a\,b^2\,c^{10}\,d^{11}\,f^4-13440\,a\,b^2\,c^{12}\,d^9\,f^4-7296\,a\,b^2\,c^{14}\,d^7\,f^4-2208\,a\,b^2\,c^{16}\,d^5\,f^4-288\,a\,b^2\,c^{18}\,d^3\,f^4+2208\,a^2\,b\,c^3\,d^{18}\,f^4+7296\,a^2\,b\,c^5\,d^{16}\,f^4+13440\,a^2\,b\,c^7\,d^{14}\,f^4+14784\,a^2\,b\,c^9\,d^{12}\,f^4+9408\,a^2\,b\,c^{11}\,d^{10}\,f^4+2688\,a^2\,b\,c^{13}\,d^8\,f^4-384\,a^2\,b\,c^{15}\,d^6\,f^4-480\,a^2\,b\,c^{17}\,d^4\,f^4-96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,a^3\,d^{21}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-96\,a\,b^2\,d^{21}\,f^4+96\,b^3\,c\,d^{20}\,f^4+160\,a^3\,c^2\,d^{19}\,f^4+128\,a^3\,c^4\,d^{17}\,f^4-896\,a^3\,c^6\,d^{15}\,f^4-3136\,a^3\,c^8\,d^{13}\,f^4-4928\,a^3\,c^{10}\,d^{11}\,f^4-4480\,a^3\,c^{12}\,d^9\,f^4-2432\,a^3\,c^{14}\,d^7\,f^4-736\,a^3\,c^{16}\,d^5\,f^4-96\,a^3\,c^{18}\,d^3\,f^4+736\,b^3\,c^3\,d^{18}\,f^4+2432\,b^3\,c^5\,d^{16}\,f^4+4480\,b^3\,c^7\,d^{14}\,f^4+4928\,b^3\,c^9\,d^{12}\,f^4+3136\,b^3\,c^{11}\,d^{10}\,f^4+896\,b^3\,c^{13}\,d^8\,f^4-128\,b^3\,c^{15}\,d^6\,f^4-160\,b^3\,c^{17}\,d^4\,f^4-32\,b^3\,c^{19}\,d^2\,f^4-288\,a^2\,b\,c\,d^{20}\,f^4-480\,a\,b^2\,c^2\,d^{19}\,f^4-384\,a\,b^2\,c^4\,d^{17}\,f^4+2688\,a\,b^2\,c^6\,d^{15}\,f^4+9408\,a\,b^2\,c^8\,d^{13}\,f^4+14784\,a\,b^2\,c^{10}\,d^{11}\,f^4+13440\,a\,b^2\,c^{12}\,d^9\,f^4+7296\,a\,b^2\,c^{14}\,d^7\,f^4+2208\,a\,b^2\,c^{16}\,d^5\,f^4+288\,a\,b^2\,c^{18}\,d^3\,f^4-2208\,a^2\,b\,c^3\,d^{18}\,f^4-7296\,a^2\,b\,c^5\,d^{16}\,f^4-13440\,a^2\,b\,c^7\,d^{14}\,f^4-14784\,a^2\,b\,c^9\,d^{12}\,f^4-9408\,a^2\,b\,c^{11}\,d^{10}\,f^4-2688\,a^2\,b\,c^{13}\,d^8\,f^4+384\,a^2\,b\,c^{15}\,d^6\,f^4+480\,a^2\,b\,c^{17}\,d^4\,f^4+96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^3\,d^{21}\,f^4+96\,a\,b^2\,d^{21}\,f^4-96\,b^3\,c\,d^{20}\,f^4-160\,a^3\,c^2\,d^{19}\,f^4-128\,a^3\,c^4\,d^{17}\,f^4+896\,a^3\,c^6\,d^{15}\,f^4+3136\,a^3\,c^8\,d^{13}\,f^4+4928\,a^3\,c^{10}\,d^{11}\,f^4+4480\,a^3\,c^{12}\,d^9\,f^4+2432\,a^3\,c^{14}\,d^7\,f^4+736\,a^3\,c^{16}\,d^5\,f^4+96\,a^3\,c^{18}\,d^3\,f^4-736\,b^3\,c^3\,d^{18}\,f^4-2432\,b^3\,c^5\,d^{16}\,f^4-4480\,b^3\,c^7\,d^{14}\,f^4-4928\,b^3\,c^9\,d^{12}\,f^4-3136\,b^3\,c^{11}\,d^{10}\,f^4-896\,b^3\,c^{13}\,d^8\,f^4+128\,b^3\,c^{15}\,d^6\,f^4+160\,b^3\,c^{17}\,d^4\,f^4+32\,b^3\,c^{19}\,d^2\,f^4+288\,a^2\,b\,c\,d^{20}\,f^4+480\,a\,b^2\,c^2\,d^{19}\,f^4+384\,a\,b^2\,c^4\,d^{17}\,f^4-2688\,a\,b^2\,c^6\,d^{15}\,f^4-9408\,a\,b^2\,c^8\,d^{13}\,f^4-14784\,a\,b^2\,c^{10}\,d^{11}\,f^4-13440\,a\,b^2\,c^{12}\,d^9\,f^4-7296\,a\,b^2\,c^{14}\,d^7\,f^4-2208\,a\,b^2\,c^{16}\,d^5\,f^4-288\,a\,b^2\,c^{18}\,d^3\,f^4+2208\,a^2\,b\,c^3\,d^{18}\,f^4+7296\,a^2\,b\,c^5\,d^{16}\,f^4+13440\,a^2\,b\,c^7\,d^{14}\,f^4+14784\,a^2\,b\,c^9\,d^{12}\,f^4+9408\,a^2\,b\,c^{11}\,d^{10}\,f^4+2688\,a^2\,b\,c^{13}\,d^8\,f^4-384\,a^2\,b\,c^{15}\,d^6\,f^4-480\,a^2\,b\,c^{17}\,d^4\,f^4-96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,a^3\,d^{21}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-96\,a\,b^2\,d^{21}\,f^4+96\,b^3\,c\,d^{20}\,f^4+160\,a^3\,c^2\,d^{19}\,f^4+128\,a^3\,c^4\,d^{17}\,f^4-896\,a^3\,c^6\,d^{15}\,f^4-3136\,a^3\,c^8\,d^{13}\,f^4-4928\,a^3\,c^{10}\,d^{11}\,f^4-4480\,a^3\,c^{12}\,d^9\,f^4-2432\,a^3\,c^{14}\,d^7\,f^4-736\,a^3\,c^{16}\,d^5\,f^4-96\,a^3\,c^{18}\,d^3\,f^4+736\,b^3\,c^3\,d^{18}\,f^4+2432\,b^3\,c^5\,d^{16}\,f^4+4480\,b^3\,c^7\,d^{14}\,f^4+4928\,b^3\,c^9\,d^{12}\,f^4+3136\,b^3\,c^{11}\,d^{10}\,f^4+896\,b^3\,c^{13}\,d^8\,f^4-128\,b^3\,c^{15}\,d^6\,f^4-160\,b^3\,c^{17}\,d^4\,f^4-32\,b^3\,c^{19}\,d^2\,f^4-288\,a^2\,b\,c\,d^{20}\,f^4-480\,a\,b^2\,c^2\,d^{19}\,f^4-384\,a\,b^2\,c^4\,d^{17}\,f^4+2688\,a\,b^2\,c^6\,d^{15}\,f^4+9408\,a\,b^2\,c^8\,d^{13}\,f^4+14784\,a\,b^2\,c^{10}\,d^{11}\,f^4+13440\,a\,b^2\,c^{12}\,d^9\,f^4+7296\,a\,b^2\,c^{14}\,d^7\,f^4+2208\,a\,b^2\,c^{16}\,d^5\,f^4+288\,a\,b^2\,c^{18}\,d^3\,f^4-2208\,a^2\,b\,c^3\,d^{18}\,f^4-7296\,a^2\,b\,c^5\,d^{16}\,f^4-13440\,a^2\,b\,c^7\,d^{14}\,f^4-14784\,a^2\,b\,c^9\,d^{12}\,f^4-9408\,a^2\,b\,c^{11}\,d^{10}\,f^4-2688\,a^2\,b\,c^{13}\,d^8\,f^4+384\,a^2\,b\,c^{15}\,d^6\,f^4+480\,a^2\,b\,c^{17}\,d^4\,f^4+96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}+16\,b^9\,d^{16}\,f^2-48\,a^8\,b\,d^{16}\,f^2-32\,a^9\,c\,d^{15}\,f^2-96\,a^4\,b^5\,d^{16}\,f^2-128\,a^6\,b^3\,d^{16}\,f^2-192\,a^9\,c^3\,d^{13}\,f^2-480\,a^9\,c^5\,d^{11}\,f^2-640\,a^9\,c^7\,d^9\,f^2-480\,a^9\,c^9\,d^7\,f^2-192\,a^9\,c^{11}\,d^5\,f^2-32\,a^9\,c^{13}\,d^3\,f^2+80\,b^9\,c^2\,d^{14}\,f^2+144\,b^9\,c^4\,d^{12}\,f^2+80\,b^9\,c^6\,d^{10}\,f^2-80\,b^9\,c^8\,d^8\,f^2-144\,b^9\,c^{10}\,d^6\,f^2-80\,b^9\,c^{12}\,d^4\,f^2-16\,b^9\,c^{14}\,d^2\,f^2+1536\,a^3\,b^6\,c^3\,d^{13}\,f^2+3840\,a^3\,b^6\,c^5\,d^{11}\,f^2+5120\,a^3\,b^6\,c^7\,d^9\,f^2+3840\,a^3\,b^6\,c^9\,d^7\,f^2+1536\,a^3\,b^6\,c^{11}\,d^5\,f^2+256\,a^3\,b^6\,c^{13}\,d^3\,f^2-480\,a^4\,b^5\,c^2\,d^{14}\,f^2-864\,a^4\,b^5\,c^4\,d^{12}\,f^2-480\,a^4\,b^5\,c^6\,d^{10}\,f^2+480\,a^4\,b^5\,c^8\,d^8\,f^2+864\,a^4\,b^5\,c^{10}\,d^6\,f^2+480\,a^4\,b^5\,c^{12}\,d^4\,f^2+96\,a^4\,b^5\,c^{14}\,d^2\,f^2+1152\,a^5\,b^4\,c^3\,d^{13}\,f^2+2880\,a^5\,b^4\,c^5\,d^{11}\,f^2+3840\,a^5\,b^4\,c^7\,d^9\,f^2+2880\,a^5\,b^4\,c^9\,d^7\,f^2+1152\,a^5\,b^4\,c^{11}\,d^5\,f^2+192\,a^5\,b^4\,c^{13}\,d^3\,f^2-640\,a^6\,b^3\,c^2\,d^{14}\,f^2-1152\,a^6\,b^3\,c^4\,d^{12}\,f^2-640\,a^6\,b^3\,c^6\,d^{10}\,f^2+640\,a^6\,b^3\,c^8\,d^8\,f^2+1152\,a^6\,b^3\,c^{10}\,d^6\,f^2+640\,a^6\,b^3\,c^{12}\,d^4\,f^2+128\,a^6\,b^3\,c^{14}\,d^2\,f^2+96\,a\,b^8\,c\,d^{15}\,f^2+576\,a\,b^8\,c^3\,d^{13}\,f^2+1440\,a\,b^8\,c^5\,d^{11}\,f^2+1920\,a\,b^8\,c^7\,d^9\,f^2+1440\,a\,b^8\,c^9\,d^7\,f^2+576\,a\,b^8\,c^{11}\,d^5\,f^2+96\,a\,b^8\,c^{13}\,d^3\,f^2+256\,a^3\,b^6\,c\,d^{15}\,f^2+192\,a^5\,b^4\,c\,d^{15}\,f^2-240\,a^8\,b\,c^2\,d^{14}\,f^2-432\,a^8\,b\,c^4\,d^{12}\,f^2-240\,a^8\,b\,c^6\,d^{10}\,f^2+240\,a^8\,b\,c^8\,d^8\,f^2+432\,a^8\,b\,c^{10}\,d^6\,f^2+240\,a^8\,b\,c^{12}\,d^4\,f^2+48\,a^8\,b\,c^{14}\,d^2\,f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}-4\,a^6\,c^5\,f^2+4\,b^6\,c^5\,f^2-24\,a\,b^5\,d^5\,f^2-24\,a^5\,b\,d^5\,f^2-20\,a^6\,c\,d^4\,f^2+20\,b^6\,c\,d^4\,f^2-60\,a^2\,b^4\,c^5\,f^2+60\,a^4\,b^2\,c^5\,f^2+80\,a^3\,b^3\,d^5\,f^2+40\,a^6\,c^3\,d^2\,f^2-40\,b^6\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c^3\,d^2\,f^2-800\,a^3\,b^3\,c^2\,d^3\,f^2-600\,a^4\,b^2\,c^3\,d^2\,f^2-120\,a\,b^5\,c^4\,d\,f^2-120\,a^5\,b\,c^4\,d\,f^2+240\,a\,b^5\,c^2\,d^3\,f^2-300\,a^2\,b^4\,c\,d^4\,f^2+400\,a^3\,b^3\,c^4\,d\,f^2+300\,a^4\,b^2\,c\,d^4\,f^2+240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^3\,d^{21}\,f^4+96\,a\,b^2\,d^{21}\,f^4-96\,b^3\,c\,d^{20}\,f^4-160\,a^3\,c^2\,d^{19}\,f^4-128\,a^3\,c^4\,d^{17}\,f^4+896\,a^3\,c^6\,d^{15}\,f^4+3136\,a^3\,c^8\,d^{13}\,f^4+4928\,a^3\,c^{10}\,d^{11}\,f^4+4480\,a^3\,c^{12}\,d^9\,f^4+2432\,a^3\,c^{14}\,d^7\,f^4+736\,a^3\,c^{16}\,d^5\,f^4+96\,a^3\,c^{18}\,d^3\,f^4-736\,b^3\,c^3\,d^{18}\,f^4-2432\,b^3\,c^5\,d^{16}\,f^4-4480\,b^3\,c^7\,d^{14}\,f^4-4928\,b^3\,c^9\,d^{12}\,f^4-3136\,b^3\,c^{11}\,d^{10}\,f^4-896\,b^3\,c^{13}\,d^8\,f^4+128\,b^3\,c^{15}\,d^6\,f^4+160\,b^3\,c^{17}\,d^4\,f^4+32\,b^3\,c^{19}\,d^2\,f^4+288\,a^2\,b\,c\,d^{20}\,f^4+480\,a\,b^2\,c^2\,d^{19}\,f^4+384\,a\,b^2\,c^4\,d^{17}\,f^4-2688\,a\,b^2\,c^6\,d^{15}\,f^4-9408\,a\,b^2\,c^8\,d^{13}\,f^4-14784\,a\,b^2\,c^{10}\,d^{11}\,f^4-13440\,a\,b^2\,c^{12}\,d^9\,f^4-7296\,a\,b^2\,c^{14}\,d^7\,f^4-2208\,a\,b^2\,c^{16}\,d^5\,f^4-288\,a\,b^2\,c^{18}\,d^3\,f^4+2208\,a^2\,b\,c^3\,d^{18}\,f^4+7296\,a^2\,b\,c^5\,d^{16}\,f^4+13440\,a^2\,b\,c^7\,d^{14}\,f^4+14784\,a^2\,b\,c^9\,d^{12}\,f^4+9408\,a^2\,b\,c^{11}\,d^{10}\,f^4+2688\,a^2\,b\,c^{13}\,d^8\,f^4-384\,a^2\,b\,c^{15}\,d^6\,f^4-480\,a^2\,b\,c^{17}\,d^4\,f^4-96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,a^3\,d^{21}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-96\,a\,b^2\,d^{21}\,f^4+96\,b^3\,c\,d^{20}\,f^4+160\,a^3\,c^2\,d^{19}\,f^4+128\,a^3\,c^4\,d^{17}\,f^4-896\,a^3\,c^6\,d^{15}\,f^4-3136\,a^3\,c^8\,d^{13}\,f^4-4928\,a^3\,c^{10}\,d^{11}\,f^4-4480\,a^3\,c^{12}\,d^9\,f^4-2432\,a^3\,c^{14}\,d^7\,f^4-736\,a^3\,c^{16}\,d^5\,f^4-96\,a^3\,c^{18}\,d^3\,f^4+736\,b^3\,c^3\,d^{18}\,f^4+2432\,b^3\,c^5\,d^{16}\,f^4+4480\,b^3\,c^7\,d^{14}\,f^4+4928\,b^3\,c^9\,d^{12}\,f^4+3136\,b^3\,c^{11}\,d^{10}\,f^4+896\,b^3\,c^{13}\,d^8\,f^4-128\,b^3\,c^{15}\,d^6\,f^4-160\,b^3\,c^{17}\,d^4\,f^4-32\,b^3\,c^{19}\,d^2\,f^4-288\,a^2\,b\,c\,d^{20}\,f^4-480\,a\,b^2\,c^2\,d^{19}\,f^4-384\,a\,b^2\,c^4\,d^{17}\,f^4+2688\,a\,b^2\,c^6\,d^{15}\,f^4+9408\,a\,b^2\,c^8\,d^{13}\,f^4+14784\,a\,b^2\,c^{10}\,d^{11}\,f^4+13440\,a\,b^2\,c^{12}\,d^9\,f^4+7296\,a\,b^2\,c^{14}\,d^7\,f^4+2208\,a\,b^2\,c^{16}\,d^5\,f^4+288\,a\,b^2\,c^{18}\,d^3\,f^4-2208\,a^2\,b\,c^3\,d^{18}\,f^4-7296\,a^2\,b\,c^5\,d^{16}\,f^4-13440\,a^2\,b\,c^7\,d^{14}\,f^4-14784\,a^2\,b\,c^9\,d^{12}\,f^4-9408\,a^2\,b\,c^{11}\,d^{10}\,f^4-2688\,a^2\,b\,c^{13}\,d^8\,f^4+384\,a^2\,b\,c^{15}\,d^6\,f^4+480\,a^2\,b\,c^{17}\,d^4\,f^4+96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^3\,d^{21}\,f^4+96\,a\,b^2\,d^{21}\,f^4-96\,b^3\,c\,d^{20}\,f^4-160\,a^3\,c^2\,d^{19}\,f^4-128\,a^3\,c^4\,d^{17}\,f^4+896\,a^3\,c^6\,d^{15}\,f^4+3136\,a^3\,c^8\,d^{13}\,f^4+4928\,a^3\,c^{10}\,d^{11}\,f^4+4480\,a^3\,c^{12}\,d^9\,f^4+2432\,a^3\,c^{14}\,d^7\,f^4+736\,a^3\,c^{16}\,d^5\,f^4+96\,a^3\,c^{18}\,d^3\,f^4-736\,b^3\,c^3\,d^{18}\,f^4-2432\,b^3\,c^5\,d^{16}\,f^4-4480\,b^3\,c^7\,d^{14}\,f^4-4928\,b^3\,c^9\,d^{12}\,f^4-3136\,b^3\,c^{11}\,d^{10}\,f^4-896\,b^3\,c^{13}\,d^8\,f^4+128\,b^3\,c^{15}\,d^6\,f^4+160\,b^3\,c^{17}\,d^4\,f^4+32\,b^3\,c^{19}\,d^2\,f^4+288\,a^2\,b\,c\,d^{20}\,f^4+480\,a\,b^2\,c^2\,d^{19}\,f^4+384\,a\,b^2\,c^4\,d^{17}\,f^4-2688\,a\,b^2\,c^6\,d^{15}\,f^4-9408\,a\,b^2\,c^8\,d^{13}\,f^4-14784\,a\,b^2\,c^{10}\,d^{11}\,f^4-13440\,a\,b^2\,c^{12}\,d^9\,f^4-7296\,a\,b^2\,c^{14}\,d^7\,f^4-2208\,a\,b^2\,c^{16}\,d^5\,f^4-288\,a\,b^2\,c^{18}\,d^3\,f^4+2208\,a^2\,b\,c^3\,d^{18}\,f^4+7296\,a^2\,b\,c^5\,d^{16}\,f^4+13440\,a^2\,b\,c^7\,d^{14}\,f^4+14784\,a^2\,b\,c^9\,d^{12}\,f^4+9408\,a^2\,b\,c^{11}\,d^{10}\,f^4+2688\,a^2\,b\,c^{13}\,d^8\,f^4-384\,a^2\,b\,c^{15}\,d^6\,f^4-480\,a^2\,b\,c^{17}\,d^4\,f^4-96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,a^3\,d^{21}\,f^4+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-96\,a\,b^2\,d^{21}\,f^4+96\,b^3\,c\,d^{20}\,f^4+160\,a^3\,c^2\,d^{19}\,f^4+128\,a^3\,c^4\,d^{17}\,f^4-896\,a^3\,c^6\,d^{15}\,f^4-3136\,a^3\,c^8\,d^{13}\,f^4-4928\,a^3\,c^{10}\,d^{11}\,f^4-4480\,a^3\,c^{12}\,d^9\,f^4-2432\,a^3\,c^{14}\,d^7\,f^4-736\,a^3\,c^{16}\,d^5\,f^4-96\,a^3\,c^{18}\,d^3\,f^4+736\,b^3\,c^3\,d^{18}\,f^4+2432\,b^3\,c^5\,d^{16}\,f^4+4480\,b^3\,c^7\,d^{14}\,f^4+4928\,b^3\,c^9\,d^{12}\,f^4+3136\,b^3\,c^{11}\,d^{10}\,f^4+896\,b^3\,c^{13}\,d^8\,f^4-128\,b^3\,c^{15}\,d^6\,f^4-160\,b^3\,c^{17}\,d^4\,f^4-32\,b^3\,c^{19}\,d^2\,f^4-288\,a^2\,b\,c\,d^{20}\,f^4-480\,a\,b^2\,c^2\,d^{19}\,f^4-384\,a\,b^2\,c^4\,d^{17}\,f^4+2688\,a\,b^2\,c^6\,d^{15}\,f^4+9408\,a\,b^2\,c^8\,d^{13}\,f^4+14784\,a\,b^2\,c^{10}\,d^{11}\,f^4+13440\,a\,b^2\,c^{12}\,d^9\,f^4+7296\,a\,b^2\,c^{14}\,d^7\,f^4+2208\,a\,b^2\,c^{16}\,d^5\,f^4+288\,a\,b^2\,c^{18}\,d^3\,f^4-2208\,a^2\,b\,c^3\,d^{18}\,f^4-7296\,a^2\,b\,c^5\,d^{16}\,f^4-13440\,a^2\,b\,c^7\,d^{14}\,f^4-14784\,a^2\,b\,c^9\,d^{12}\,f^4-9408\,a^2\,b\,c^{11}\,d^{10}\,f^4-2688\,a^2\,b\,c^{13}\,d^8\,f^4+384\,a^2\,b\,c^{15}\,d^6\,f^4+480\,a^2\,b\,c^{17}\,d^4\,f^4+96\,a^2\,b\,c^{19}\,d^2\,f^4\right)+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(16\,a^6\,c^{16}\,d^2\,f^3-320\,a^6\,c^{12}\,d^6\,f^3-1024\,a^6\,c^{10}\,d^8\,f^3-1440\,a^6\,c^8\,d^{10}\,f^3-1024\,a^6\,c^6\,d^{12}\,f^3-320\,a^6\,c^4\,d^{14}\,f^3+16\,a^6\,d^{18}\,f^3+384\,a^5\,b\,c^{15}\,d^3\,f^3+1920\,a^5\,b\,c^{13}\,d^5\,f^3+3456\,a^5\,b\,c^{11}\,d^7\,f^3+1920\,a^5\,b\,c^9\,d^9\,f^3-1920\,a^5\,b\,c^7\,d^{11}\,f^3-3456\,a^5\,b\,c^5\,d^{13}\,f^3-1920\,a^5\,b\,c^3\,d^{15}\,f^3-384\,a^5\,b\,c\,d^{17}\,f^3-240\,a^4\,b^2\,c^{16}\,d^2\,f^3+4800\,a^4\,b^2\,c^{12}\,d^6\,f^3+15360\,a^4\,b^2\,c^{10}\,d^8\,f^3+21600\,a^4\,b^2\,c^8\,d^{10}\,f^3+15360\,a^4\,b^2\,c^6\,d^{12}\,f^3+4800\,a^4\,b^2\,c^4\,d^{14}\,f^3-240\,a^4\,b^2\,d^{18}\,f^3-1280\,a^3\,b^3\,c^{15}\,d^3\,f^3-6400\,a^3\,b^3\,c^{13}\,d^5\,f^3-11520\,a^3\,b^3\,c^{11}\,d^7\,f^3-6400\,a^3\,b^3\,c^9\,d^9\,f^3+6400\,a^3\,b^3\,c^7\,d^{11}\,f^3+11520\,a^3\,b^3\,c^5\,d^{13}\,f^3+6400\,a^3\,b^3\,c^3\,d^{15}\,f^3+1280\,a^3\,b^3\,c\,d^{17}\,f^3+240\,a^2\,b^4\,c^{16}\,d^2\,f^3-4800\,a^2\,b^4\,c^{12}\,d^6\,f^3-15360\,a^2\,b^4\,c^{10}\,d^8\,f^3-21600\,a^2\,b^4\,c^8\,d^{10}\,f^3-15360\,a^2\,b^4\,c^6\,d^{12}\,f^3-4800\,a^2\,b^4\,c^4\,d^{14}\,f^3+240\,a^2\,b^4\,d^{18}\,f^3+384\,a\,b^5\,c^{15}\,d^3\,f^3+1920\,a\,b^5\,c^{13}\,d^5\,f^3+3456\,a\,b^5\,c^{11}\,d^7\,f^3+1920\,a\,b^5\,c^9\,d^9\,f^3-1920\,a\,b^5\,c^7\,d^{11}\,f^3-3456\,a\,b^5\,c^5\,d^{13}\,f^3-1920\,a\,b^5\,c^3\,d^{15}\,f^3-384\,a\,b^5\,c\,d^{17}\,f^3-16\,b^6\,c^{16}\,d^2\,f^3+320\,b^6\,c^{12}\,d^6\,f^3+1024\,b^6\,c^{10}\,d^8\,f^3+1440\,b^6\,c^8\,d^{10}\,f^3+1024\,b^6\,c^6\,d^{12}\,f^3+320\,b^6\,c^4\,d^{14}\,f^3-16\,b^6\,d^{18}\,f^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}+16\,b^9\,d^{16}\,f^2-48\,a^8\,b\,d^{16}\,f^2-32\,a^9\,c\,d^{15}\,f^2-96\,a^4\,b^5\,d^{16}\,f^2-128\,a^6\,b^3\,d^{16}\,f^2-192\,a^9\,c^3\,d^{13}\,f^2-480\,a^9\,c^5\,d^{11}\,f^2-640\,a^9\,c^7\,d^9\,f^2-480\,a^9\,c^9\,d^7\,f^2-192\,a^9\,c^{11}\,d^5\,f^2-32\,a^9\,c^{13}\,d^3\,f^2+80\,b^9\,c^2\,d^{14}\,f^2+144\,b^9\,c^4\,d^{12}\,f^2+80\,b^9\,c^6\,d^{10}\,f^2-80\,b^9\,c^8\,d^8\,f^2-144\,b^9\,c^{10}\,d^6\,f^2-80\,b^9\,c^{12}\,d^4\,f^2-16\,b^9\,c^{14}\,d^2\,f^2+1536\,a^3\,b^6\,c^3\,d^{13}\,f^2+3840\,a^3\,b^6\,c^5\,d^{11}\,f^2+5120\,a^3\,b^6\,c^7\,d^9\,f^2+3840\,a^3\,b^6\,c^9\,d^7\,f^2+1536\,a^3\,b^6\,c^{11}\,d^5\,f^2+256\,a^3\,b^6\,c^{13}\,d^3\,f^2-480\,a^4\,b^5\,c^2\,d^{14}\,f^2-864\,a^4\,b^5\,c^4\,d^{12}\,f^2-480\,a^4\,b^5\,c^6\,d^{10}\,f^2+480\,a^4\,b^5\,c^8\,d^8\,f^2+864\,a^4\,b^5\,c^{10}\,d^6\,f^2+480\,a^4\,b^5\,c^{12}\,d^4\,f^2+96\,a^4\,b^5\,c^{14}\,d^2\,f^2+1152\,a^5\,b^4\,c^3\,d^{13}\,f^2+2880\,a^5\,b^4\,c^5\,d^{11}\,f^2+3840\,a^5\,b^4\,c^7\,d^9\,f^2+2880\,a^5\,b^4\,c^9\,d^7\,f^2+1152\,a^5\,b^4\,c^{11}\,d^5\,f^2+192\,a^5\,b^4\,c^{13}\,d^3\,f^2-640\,a^6\,b^3\,c^2\,d^{14}\,f^2-1152\,a^6\,b^3\,c^4\,d^{12}\,f^2-640\,a^6\,b^3\,c^6\,d^{10}\,f^2+640\,a^6\,b^3\,c^8\,d^8\,f^2+1152\,a^6\,b^3\,c^{10}\,d^6\,f^2+640\,a^6\,b^3\,c^{12}\,d^4\,f^2+128\,a^6\,b^3\,c^{14}\,d^2\,f^2+96\,a\,b^8\,c\,d^{15}\,f^2+576\,a\,b^8\,c^3\,d^{13}\,f^2+1440\,a\,b^8\,c^5\,d^{11}\,f^2+1920\,a\,b^8\,c^7\,d^9\,f^2+1440\,a\,b^8\,c^9\,d^7\,f^2+576\,a\,b^8\,c^{11}\,d^5\,f^2+96\,a\,b^8\,c^{13}\,d^3\,f^2+256\,a^3\,b^6\,c\,d^{15}\,f^2+192\,a^5\,b^4\,c\,d^{15}\,f^2-240\,a^8\,b\,c^2\,d^{14}\,f^2-432\,a^8\,b\,c^4\,d^{12}\,f^2-240\,a^8\,b\,c^6\,d^{10}\,f^2+240\,a^8\,b\,c^8\,d^8\,f^2+432\,a^8\,b\,c^{10}\,d^6\,f^2+240\,a^8\,b\,c^{12}\,d^4\,f^2+48\,a^8\,b\,c^{14}\,d^2\,f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^6\,c^5\,f^2-80\,a^6\,c^3\,d^2\,f^2+40\,a^6\,c\,d^4\,f^2+240\,a^5\,b\,c^4\,d\,f^2-480\,a^5\,b\,c^2\,d^3\,f^2+48\,a^5\,b\,d^5\,f^2-120\,a^4\,b^2\,c^5\,f^2+1200\,a^4\,b^2\,c^3\,d^2\,f^2-600\,a^4\,b^2\,c\,d^4\,f^2-800\,a^3\,b^3\,c^4\,d\,f^2+1600\,a^3\,b^3\,c^2\,d^3\,f^2-160\,a^3\,b^3\,d^5\,f^2+120\,a^2\,b^4\,c^5\,f^2-1200\,a^2\,b^4\,c^3\,d^2\,f^2+600\,a^2\,b^4\,c\,d^4\,f^2+240\,a\,b^5\,c^4\,d\,f^2-480\,a\,b^5\,c^2\,d^3\,f^2+48\,a\,b^5\,d^5\,f^2-8\,b^6\,c^5\,f^2+80\,b^6\,c^3\,d^2\,f^2-40\,b^6\,c\,d^4\,f^2\right)}^2}{4}-\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)\,\left(a^{12}+6\,a^{10}\,b^2+15\,a^8\,b^4+20\,a^6\,b^6+15\,a^4\,b^8+6\,a^2\,b^{10}+b^{12}\right)}+4\,a^6\,c^5\,f^2-4\,b^6\,c^5\,f^2+24\,a\,b^5\,d^5\,f^2+24\,a^5\,b\,d^5\,f^2+20\,a^6\,c\,d^4\,f^2-20\,b^6\,c\,d^4\,f^2+60\,a^2\,b^4\,c^5\,f^2-60\,a^4\,b^2\,c^5\,f^2-80\,a^3\,b^3\,d^5\,f^2-40\,a^6\,c^3\,d^2\,f^2+40\,b^6\,c^3\,d^2\,f^2-600\,a^2\,b^4\,c^3\,d^2\,f^2+800\,a^3\,b^3\,c^2\,d^3\,f^2+600\,a^4\,b^2\,c^3\,d^2\,f^2+120\,a\,b^5\,c^4\,d\,f^2+120\,a^5\,b\,c^4\,d\,f^2-240\,a\,b^5\,c^2\,d^3\,f^2+300\,a^2\,b^4\,c\,d^4\,f^2-400\,a^3\,b^3\,c^4\,d\,f^2-300\,a^4\,b^2\,c\,d^4\,f^2-240\,a^5\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,2{}\mathrm{i}-\frac{\frac{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{3\,\left(c^2+d^2\right)}+\frac{2\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(2\,a^3\,c\,d^3-3\,a^2\,b\,c^2\,d^2+3\,a^2\,b\,d^4-6\,a\,b^2\,c\,d^3+b^3\,c^4+3\,b^3\,c^2\,d^2\right)}{{\left(c^2+d^2\right)}^2}}{d^2\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"- atan(((((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^3*d^21*f^4 + 96*a*b^2*d^21*f^4 - 96*b^3*c*d^20*f^4 - 160*a^3*c^2*d^19*f^4 - 128*a^3*c^4*d^17*f^4 + 896*a^3*c^6*d^15*f^4 + 3136*a^3*c^8*d^13*f^4 + 4928*a^3*c^10*d^11*f^4 + 4480*a^3*c^12*d^9*f^4 + 2432*a^3*c^14*d^7*f^4 + 736*a^3*c^16*d^5*f^4 + 96*a^3*c^18*d^3*f^4 - 736*b^3*c^3*d^18*f^4 - 2432*b^3*c^5*d^16*f^4 - 4480*b^3*c^7*d^14*f^4 - 4928*b^3*c^9*d^12*f^4 - 3136*b^3*c^11*d^10*f^4 - 896*b^3*c^13*d^8*f^4 + 128*b^3*c^15*d^6*f^4 + 160*b^3*c^17*d^4*f^4 + 32*b^3*c^19*d^2*f^4 + 288*a^2*b*c*d^20*f^4 + 480*a*b^2*c^2*d^19*f^4 + 384*a*b^2*c^4*d^17*f^4 - 2688*a*b^2*c^6*d^15*f^4 - 9408*a*b^2*c^8*d^13*f^4 - 14784*a*b^2*c^10*d^11*f^4 - 13440*a*b^2*c^12*d^9*f^4 - 7296*a*b^2*c^14*d^7*f^4 - 2208*a*b^2*c^16*d^5*f^4 - 288*a*b^2*c^18*d^3*f^4 + 2208*a^2*b*c^3*d^18*f^4 + 7296*a^2*b*c^5*d^16*f^4 + 13440*a^2*b*c^7*d^14*f^4 + 14784*a^2*b*c^9*d^12*f^4 + 9408*a^2*b*c^11*d^10*f^4 + 2688*a^2*b*c^13*d^8*f^4 - 384*a^2*b*c^15*d^6*f^4 - 480*a^2*b*c^17*d^4*f^4 - 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i + (((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*a^3*d^21*f^4 + (c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 96*a*b^2*d^21*f^4 + 96*b^3*c*d^20*f^4 + 160*a^3*c^2*d^19*f^4 + 128*a^3*c^4*d^17*f^4 - 896*a^3*c^6*d^15*f^4 - 3136*a^3*c^8*d^13*f^4 - 4928*a^3*c^10*d^11*f^4 - 4480*a^3*c^12*d^9*f^4 - 2432*a^3*c^14*d^7*f^4 - 736*a^3*c^16*d^5*f^4 - 96*a^3*c^18*d^3*f^4 + 736*b^3*c^3*d^18*f^4 + 2432*b^3*c^5*d^16*f^4 + 4480*b^3*c^7*d^14*f^4 + 4928*b^3*c^9*d^12*f^4 + 3136*b^3*c^11*d^10*f^4 + 896*b^3*c^13*d^8*f^4 - 128*b^3*c^15*d^6*f^4 - 160*b^3*c^17*d^4*f^4 - 32*b^3*c^19*d^2*f^4 - 288*a^2*b*c*d^20*f^4 - 480*a*b^2*c^2*d^19*f^4 - 384*a*b^2*c^4*d^17*f^4 + 2688*a*b^2*c^6*d^15*f^4 + 9408*a*b^2*c^8*d^13*f^4 + 14784*a*b^2*c^10*d^11*f^4 + 13440*a*b^2*c^12*d^9*f^4 + 7296*a*b^2*c^14*d^7*f^4 + 2208*a*b^2*c^16*d^5*f^4 + 288*a*b^2*c^18*d^3*f^4 - 2208*a^2*b*c^3*d^18*f^4 - 7296*a^2*b*c^5*d^16*f^4 - 13440*a^2*b*c^7*d^14*f^4 - 14784*a^2*b*c^9*d^12*f^4 - 9408*a^2*b*c^11*d^10*f^4 - 2688*a^2*b*c^13*d^8*f^4 + 384*a^2*b*c^15*d^6*f^4 + 480*a^2*b*c^17*d^4*f^4 + 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/((((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^3*d^21*f^4 + 96*a*b^2*d^21*f^4 - 96*b^3*c*d^20*f^4 - 160*a^3*c^2*d^19*f^4 - 128*a^3*c^4*d^17*f^4 + 896*a^3*c^6*d^15*f^4 + 3136*a^3*c^8*d^13*f^4 + 4928*a^3*c^10*d^11*f^4 + 4480*a^3*c^12*d^9*f^4 + 2432*a^3*c^14*d^7*f^4 + 736*a^3*c^16*d^5*f^4 + 96*a^3*c^18*d^3*f^4 - 736*b^3*c^3*d^18*f^4 - 2432*b^3*c^5*d^16*f^4 - 4480*b^3*c^7*d^14*f^4 - 4928*b^3*c^9*d^12*f^4 - 3136*b^3*c^11*d^10*f^4 - 896*b^3*c^13*d^8*f^4 + 128*b^3*c^15*d^6*f^4 + 160*b^3*c^17*d^4*f^4 + 32*b^3*c^19*d^2*f^4 + 288*a^2*b*c*d^20*f^4 + 480*a*b^2*c^2*d^19*f^4 + 384*a*b^2*c^4*d^17*f^4 - 2688*a*b^2*c^6*d^15*f^4 - 9408*a*b^2*c^8*d^13*f^4 - 14784*a*b^2*c^10*d^11*f^4 - 13440*a*b^2*c^12*d^9*f^4 - 7296*a*b^2*c^14*d^7*f^4 - 2208*a*b^2*c^16*d^5*f^4 - 288*a*b^2*c^18*d^3*f^4 + 2208*a^2*b*c^3*d^18*f^4 + 7296*a^2*b*c^5*d^16*f^4 + 13440*a^2*b*c^7*d^14*f^4 + 14784*a^2*b*c^9*d^12*f^4 + 9408*a^2*b*c^11*d^10*f^4 + 2688*a^2*b*c^13*d^8*f^4 - 384*a^2*b*c^15*d^6*f^4 - 480*a^2*b*c^17*d^4*f^4 - 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - (((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*a^3*d^21*f^4 + (c + d*tan(e + f*x))^(1/2)*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 96*a*b^2*d^21*f^4 + 96*b^3*c*d^20*f^4 + 160*a^3*c^2*d^19*f^4 + 128*a^3*c^4*d^17*f^4 - 896*a^3*c^6*d^15*f^4 - 3136*a^3*c^8*d^13*f^4 - 4928*a^3*c^10*d^11*f^4 - 4480*a^3*c^12*d^9*f^4 - 2432*a^3*c^14*d^7*f^4 - 736*a^3*c^16*d^5*f^4 - 96*a^3*c^18*d^3*f^4 + 736*b^3*c^3*d^18*f^4 + 2432*b^3*c^5*d^16*f^4 + 4480*b^3*c^7*d^14*f^4 + 4928*b^3*c^9*d^12*f^4 + 3136*b^3*c^11*d^10*f^4 + 896*b^3*c^13*d^8*f^4 - 128*b^3*c^15*d^6*f^4 - 160*b^3*c^17*d^4*f^4 - 32*b^3*c^19*d^2*f^4 - 288*a^2*b*c*d^20*f^4 - 480*a*b^2*c^2*d^19*f^4 - 384*a*b^2*c^4*d^17*f^4 + 2688*a*b^2*c^6*d^15*f^4 + 9408*a*b^2*c^8*d^13*f^4 + 14784*a*b^2*c^10*d^11*f^4 + 13440*a*b^2*c^12*d^9*f^4 + 7296*a*b^2*c^14*d^7*f^4 + 2208*a*b^2*c^16*d^5*f^4 + 288*a*b^2*c^18*d^3*f^4 - 2208*a^2*b*c^3*d^18*f^4 - 7296*a^2*b*c^5*d^16*f^4 - 13440*a^2*b*c^7*d^14*f^4 - 14784*a^2*b*c^9*d^12*f^4 - 9408*a^2*b*c^11*d^10*f^4 - 2688*a^2*b*c^13*d^8*f^4 + 384*a^2*b*c^15*d^6*f^4 + 480*a^2*b*c^17*d^4*f^4 + 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) + 16*b^9*d^16*f^2 - 48*a^8*b*d^16*f^2 - 32*a^9*c*d^15*f^2 - 96*a^4*b^5*d^16*f^2 - 128*a^6*b^3*d^16*f^2 - 192*a^9*c^3*d^13*f^2 - 480*a^9*c^5*d^11*f^2 - 640*a^9*c^7*d^9*f^2 - 480*a^9*c^9*d^7*f^2 - 192*a^9*c^11*d^5*f^2 - 32*a^9*c^13*d^3*f^2 + 80*b^9*c^2*d^14*f^2 + 144*b^9*c^4*d^12*f^2 + 80*b^9*c^6*d^10*f^2 - 80*b^9*c^8*d^8*f^2 - 144*b^9*c^10*d^6*f^2 - 80*b^9*c^12*d^4*f^2 - 16*b^9*c^14*d^2*f^2 + 1536*a^3*b^6*c^3*d^13*f^2 + 3840*a^3*b^6*c^5*d^11*f^2 + 5120*a^3*b^6*c^7*d^9*f^2 + 3840*a^3*b^6*c^9*d^7*f^2 + 1536*a^3*b^6*c^11*d^5*f^2 + 256*a^3*b^6*c^13*d^3*f^2 - 480*a^4*b^5*c^2*d^14*f^2 - 864*a^4*b^5*c^4*d^12*f^2 - 480*a^4*b^5*c^6*d^10*f^2 + 480*a^4*b^5*c^8*d^8*f^2 + 864*a^4*b^5*c^10*d^6*f^2 + 480*a^4*b^5*c^12*d^4*f^2 + 96*a^4*b^5*c^14*d^2*f^2 + 1152*a^5*b^4*c^3*d^13*f^2 + 2880*a^5*b^4*c^5*d^11*f^2 + 3840*a^5*b^4*c^7*d^9*f^2 + 2880*a^5*b^4*c^9*d^7*f^2 + 1152*a^5*b^4*c^11*d^5*f^2 + 192*a^5*b^4*c^13*d^3*f^2 - 640*a^6*b^3*c^2*d^14*f^2 - 1152*a^6*b^3*c^4*d^12*f^2 - 640*a^6*b^3*c^6*d^10*f^2 + 640*a^6*b^3*c^8*d^8*f^2 + 1152*a^6*b^3*c^10*d^6*f^2 + 640*a^6*b^3*c^12*d^4*f^2 + 128*a^6*b^3*c^14*d^2*f^2 + 96*a*b^8*c*d^15*f^2 + 576*a*b^8*c^3*d^13*f^2 + 1440*a*b^8*c^5*d^11*f^2 + 1920*a*b^8*c^7*d^9*f^2 + 1440*a*b^8*c^9*d^7*f^2 + 576*a*b^8*c^11*d^5*f^2 + 96*a*b^8*c^13*d^3*f^2 + 256*a^3*b^6*c*d^15*f^2 + 192*a^5*b^4*c*d^15*f^2 - 240*a^8*b*c^2*d^14*f^2 - 432*a^8*b*c^4*d^12*f^2 - 240*a^8*b*c^6*d^10*f^2 + 240*a^8*b*c^8*d^8*f^2 + 432*a^8*b*c^10*d^6*f^2 + 240*a^8*b*c^12*d^4*f^2 + 48*a^8*b*c^14*d^2*f^2))*((((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) - 4*a^6*c^5*f^2 + 4*b^6*c^5*f^2 - 24*a*b^5*d^5*f^2 - 24*a^5*b*d^5*f^2 - 20*a^6*c*d^4*f^2 + 20*b^6*c*d^4*f^2 - 60*a^2*b^4*c^5*f^2 + 60*a^4*b^2*c^5*f^2 + 80*a^3*b^3*d^5*f^2 + 40*a^6*c^3*d^2*f^2 - 40*b^6*c^3*d^2*f^2 + 600*a^2*b^4*c^3*d^2*f^2 - 800*a^3*b^3*c^2*d^3*f^2 - 600*a^4*b^2*c^3*d^2*f^2 - 120*a*b^5*c^4*d*f^2 - 120*a^5*b*c^4*d*f^2 + 240*a*b^5*c^2*d^3*f^2 - 300*a^2*b^4*c*d^4*f^2 + 400*a^3*b^3*c^4*d*f^2 + 300*a^4*b^2*c*d^4*f^2 + 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - atan((((-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^3*d^21*f^4 + 96*a*b^2*d^21*f^4 - 96*b^3*c*d^20*f^4 - 160*a^3*c^2*d^19*f^4 - 128*a^3*c^4*d^17*f^4 + 896*a^3*c^6*d^15*f^4 + 3136*a^3*c^8*d^13*f^4 + 4928*a^3*c^10*d^11*f^4 + 4480*a^3*c^12*d^9*f^4 + 2432*a^3*c^14*d^7*f^4 + 736*a^3*c^16*d^5*f^4 + 96*a^3*c^18*d^3*f^4 - 736*b^3*c^3*d^18*f^4 - 2432*b^3*c^5*d^16*f^4 - 4480*b^3*c^7*d^14*f^4 - 4928*b^3*c^9*d^12*f^4 - 3136*b^3*c^11*d^10*f^4 - 896*b^3*c^13*d^8*f^4 + 128*b^3*c^15*d^6*f^4 + 160*b^3*c^17*d^4*f^4 + 32*b^3*c^19*d^2*f^4 + 288*a^2*b*c*d^20*f^4 + 480*a*b^2*c^2*d^19*f^4 + 384*a*b^2*c^4*d^17*f^4 - 2688*a*b^2*c^6*d^15*f^4 - 9408*a*b^2*c^8*d^13*f^4 - 14784*a*b^2*c^10*d^11*f^4 - 13440*a*b^2*c^12*d^9*f^4 - 7296*a*b^2*c^14*d^7*f^4 - 2208*a*b^2*c^16*d^5*f^4 - 288*a*b^2*c^18*d^3*f^4 + 2208*a^2*b*c^3*d^18*f^4 + 7296*a^2*b*c^5*d^16*f^4 + 13440*a^2*b*c^7*d^14*f^4 + 14784*a^2*b*c^9*d^12*f^4 + 9408*a^2*b*c^11*d^10*f^4 + 2688*a^2*b*c^13*d^8*f^4 - 384*a^2*b*c^15*d^6*f^4 - 480*a^2*b*c^17*d^4*f^4 - 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i + ((-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*a^3*d^21*f^4 + (c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 96*a*b^2*d^21*f^4 + 96*b^3*c*d^20*f^4 + 160*a^3*c^2*d^19*f^4 + 128*a^3*c^4*d^17*f^4 - 896*a^3*c^6*d^15*f^4 - 3136*a^3*c^8*d^13*f^4 - 4928*a^3*c^10*d^11*f^4 - 4480*a^3*c^12*d^9*f^4 - 2432*a^3*c^14*d^7*f^4 - 736*a^3*c^16*d^5*f^4 - 96*a^3*c^18*d^3*f^4 + 736*b^3*c^3*d^18*f^4 + 2432*b^3*c^5*d^16*f^4 + 4480*b^3*c^7*d^14*f^4 + 4928*b^3*c^9*d^12*f^4 + 3136*b^3*c^11*d^10*f^4 + 896*b^3*c^13*d^8*f^4 - 128*b^3*c^15*d^6*f^4 - 160*b^3*c^17*d^4*f^4 - 32*b^3*c^19*d^2*f^4 - 288*a^2*b*c*d^20*f^4 - 480*a*b^2*c^2*d^19*f^4 - 384*a*b^2*c^4*d^17*f^4 + 2688*a*b^2*c^6*d^15*f^4 + 9408*a*b^2*c^8*d^13*f^4 + 14784*a*b^2*c^10*d^11*f^4 + 13440*a*b^2*c^12*d^9*f^4 + 7296*a*b^2*c^14*d^7*f^4 + 2208*a*b^2*c^16*d^5*f^4 + 288*a*b^2*c^18*d^3*f^4 - 2208*a^2*b*c^3*d^18*f^4 - 7296*a^2*b*c^5*d^16*f^4 - 13440*a^2*b*c^7*d^14*f^4 - 14784*a^2*b*c^9*d^12*f^4 - 9408*a^2*b*c^11*d^10*f^4 - 2688*a^2*b*c^13*d^8*f^4 + 384*a^2*b*c^15*d^6*f^4 + 480*a^2*b*c^17*d^4*f^4 + 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/(((-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^3*d^21*f^4 + 96*a*b^2*d^21*f^4 - 96*b^3*c*d^20*f^4 - 160*a^3*c^2*d^19*f^4 - 128*a^3*c^4*d^17*f^4 + 896*a^3*c^6*d^15*f^4 + 3136*a^3*c^8*d^13*f^4 + 4928*a^3*c^10*d^11*f^4 + 4480*a^3*c^12*d^9*f^4 + 2432*a^3*c^14*d^7*f^4 + 736*a^3*c^16*d^5*f^4 + 96*a^3*c^18*d^3*f^4 - 736*b^3*c^3*d^18*f^4 - 2432*b^3*c^5*d^16*f^4 - 4480*b^3*c^7*d^14*f^4 - 4928*b^3*c^9*d^12*f^4 - 3136*b^3*c^11*d^10*f^4 - 896*b^3*c^13*d^8*f^4 + 128*b^3*c^15*d^6*f^4 + 160*b^3*c^17*d^4*f^4 + 32*b^3*c^19*d^2*f^4 + 288*a^2*b*c*d^20*f^4 + 480*a*b^2*c^2*d^19*f^4 + 384*a*b^2*c^4*d^17*f^4 - 2688*a*b^2*c^6*d^15*f^4 - 9408*a*b^2*c^8*d^13*f^4 - 14784*a*b^2*c^10*d^11*f^4 - 13440*a*b^2*c^12*d^9*f^4 - 7296*a*b^2*c^14*d^7*f^4 - 2208*a*b^2*c^16*d^5*f^4 - 288*a*b^2*c^18*d^3*f^4 + 2208*a^2*b*c^3*d^18*f^4 + 7296*a^2*b*c^5*d^16*f^4 + 13440*a^2*b*c^7*d^14*f^4 + 14784*a^2*b*c^9*d^12*f^4 + 9408*a^2*b*c^11*d^10*f^4 + 2688*a^2*b*c^13*d^8*f^4 - 384*a^2*b*c^15*d^6*f^4 - 480*a^2*b*c^17*d^4*f^4 - 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - ((-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*a^3*d^21*f^4 + (c + d*tan(e + f*x))^(1/2)*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 96*a*b^2*d^21*f^4 + 96*b^3*c*d^20*f^4 + 160*a^3*c^2*d^19*f^4 + 128*a^3*c^4*d^17*f^4 - 896*a^3*c^6*d^15*f^4 - 3136*a^3*c^8*d^13*f^4 - 4928*a^3*c^10*d^11*f^4 - 4480*a^3*c^12*d^9*f^4 - 2432*a^3*c^14*d^7*f^4 - 736*a^3*c^16*d^5*f^4 - 96*a^3*c^18*d^3*f^4 + 736*b^3*c^3*d^18*f^4 + 2432*b^3*c^5*d^16*f^4 + 4480*b^3*c^7*d^14*f^4 + 4928*b^3*c^9*d^12*f^4 + 3136*b^3*c^11*d^10*f^4 + 896*b^3*c^13*d^8*f^4 - 128*b^3*c^15*d^6*f^4 - 160*b^3*c^17*d^4*f^4 - 32*b^3*c^19*d^2*f^4 - 288*a^2*b*c*d^20*f^4 - 480*a*b^2*c^2*d^19*f^4 - 384*a*b^2*c^4*d^17*f^4 + 2688*a*b^2*c^6*d^15*f^4 + 9408*a*b^2*c^8*d^13*f^4 + 14784*a*b^2*c^10*d^11*f^4 + 13440*a*b^2*c^12*d^9*f^4 + 7296*a*b^2*c^14*d^7*f^4 + 2208*a*b^2*c^16*d^5*f^4 + 288*a*b^2*c^18*d^3*f^4 - 2208*a^2*b*c^3*d^18*f^4 - 7296*a^2*b*c^5*d^16*f^4 - 13440*a^2*b*c^7*d^14*f^4 - 14784*a^2*b*c^9*d^12*f^4 - 9408*a^2*b*c^11*d^10*f^4 - 2688*a^2*b*c^13*d^8*f^4 + 384*a^2*b*c^15*d^6*f^4 + 480*a^2*b*c^17*d^4*f^4 + 96*a^2*b*c^19*d^2*f^4) + (c + d*tan(e + f*x))^(1/2)*(16*a^6*d^18*f^3 - 16*b^6*d^18*f^3 + 240*a^2*b^4*d^18*f^3 - 240*a^4*b^2*d^18*f^3 - 320*a^6*c^4*d^14*f^3 - 1024*a^6*c^6*d^12*f^3 - 1440*a^6*c^8*d^10*f^3 - 1024*a^6*c^10*d^8*f^3 - 320*a^6*c^12*d^6*f^3 + 16*a^6*c^16*d^2*f^3 + 320*b^6*c^4*d^14*f^3 + 1024*b^6*c^6*d^12*f^3 + 1440*b^6*c^8*d^10*f^3 + 1024*b^6*c^10*d^8*f^3 + 320*b^6*c^12*d^6*f^3 - 16*b^6*c^16*d^2*f^3 - 4800*a^2*b^4*c^4*d^14*f^3 - 15360*a^2*b^4*c^6*d^12*f^3 - 21600*a^2*b^4*c^8*d^10*f^3 - 15360*a^2*b^4*c^10*d^8*f^3 - 4800*a^2*b^4*c^12*d^6*f^3 + 240*a^2*b^4*c^16*d^2*f^3 + 6400*a^3*b^3*c^3*d^15*f^3 + 11520*a^3*b^3*c^5*d^13*f^3 + 6400*a^3*b^3*c^7*d^11*f^3 - 6400*a^3*b^3*c^9*d^9*f^3 - 11520*a^3*b^3*c^11*d^7*f^3 - 6400*a^3*b^3*c^13*d^5*f^3 - 1280*a^3*b^3*c^15*d^3*f^3 + 4800*a^4*b^2*c^4*d^14*f^3 + 15360*a^4*b^2*c^6*d^12*f^3 + 21600*a^4*b^2*c^8*d^10*f^3 + 15360*a^4*b^2*c^10*d^8*f^3 + 4800*a^4*b^2*c^12*d^6*f^3 - 240*a^4*b^2*c^16*d^2*f^3 - 384*a*b^5*c*d^17*f^3 - 384*a^5*b*c*d^17*f^3 - 1920*a*b^5*c^3*d^15*f^3 - 3456*a*b^5*c^5*d^13*f^3 - 1920*a*b^5*c^7*d^11*f^3 + 1920*a*b^5*c^9*d^9*f^3 + 3456*a*b^5*c^11*d^7*f^3 + 1920*a*b^5*c^13*d^5*f^3 + 384*a*b^5*c^15*d^3*f^3 + 1280*a^3*b^3*c*d^17*f^3 - 1920*a^5*b*c^3*d^15*f^3 - 3456*a^5*b*c^5*d^13*f^3 - 1920*a^5*b*c^7*d^11*f^3 + 1920*a^5*b*c^9*d^9*f^3 + 3456*a^5*b*c^11*d^7*f^3 + 1920*a^5*b*c^13*d^5*f^3 + 384*a^5*b*c^15*d^3*f^3))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) + 16*b^9*d^16*f^2 - 48*a^8*b*d^16*f^2 - 32*a^9*c*d^15*f^2 - 96*a^4*b^5*d^16*f^2 - 128*a^6*b^3*d^16*f^2 - 192*a^9*c^3*d^13*f^2 - 480*a^9*c^5*d^11*f^2 - 640*a^9*c^7*d^9*f^2 - 480*a^9*c^9*d^7*f^2 - 192*a^9*c^11*d^5*f^2 - 32*a^9*c^13*d^3*f^2 + 80*b^9*c^2*d^14*f^2 + 144*b^9*c^4*d^12*f^2 + 80*b^9*c^6*d^10*f^2 - 80*b^9*c^8*d^8*f^2 - 144*b^9*c^10*d^6*f^2 - 80*b^9*c^12*d^4*f^2 - 16*b^9*c^14*d^2*f^2 + 1536*a^3*b^6*c^3*d^13*f^2 + 3840*a^3*b^6*c^5*d^11*f^2 + 5120*a^3*b^6*c^7*d^9*f^2 + 3840*a^3*b^6*c^9*d^7*f^2 + 1536*a^3*b^6*c^11*d^5*f^2 + 256*a^3*b^6*c^13*d^3*f^2 - 480*a^4*b^5*c^2*d^14*f^2 - 864*a^4*b^5*c^4*d^12*f^2 - 480*a^4*b^5*c^6*d^10*f^2 + 480*a^4*b^5*c^8*d^8*f^2 + 864*a^4*b^5*c^10*d^6*f^2 + 480*a^4*b^5*c^12*d^4*f^2 + 96*a^4*b^5*c^14*d^2*f^2 + 1152*a^5*b^4*c^3*d^13*f^2 + 2880*a^5*b^4*c^5*d^11*f^2 + 3840*a^5*b^4*c^7*d^9*f^2 + 2880*a^5*b^4*c^9*d^7*f^2 + 1152*a^5*b^4*c^11*d^5*f^2 + 192*a^5*b^4*c^13*d^3*f^2 - 640*a^6*b^3*c^2*d^14*f^2 - 1152*a^6*b^3*c^4*d^12*f^2 - 640*a^6*b^3*c^6*d^10*f^2 + 640*a^6*b^3*c^8*d^8*f^2 + 1152*a^6*b^3*c^10*d^6*f^2 + 640*a^6*b^3*c^12*d^4*f^2 + 128*a^6*b^3*c^14*d^2*f^2 + 96*a*b^8*c*d^15*f^2 + 576*a*b^8*c^3*d^13*f^2 + 1440*a*b^8*c^5*d^11*f^2 + 1920*a*b^8*c^7*d^9*f^2 + 1440*a*b^8*c^9*d^7*f^2 + 576*a*b^8*c^11*d^5*f^2 + 96*a*b^8*c^13*d^3*f^2 + 256*a^3*b^6*c*d^15*f^2 + 192*a^5*b^4*c*d^15*f^2 - 240*a^8*b*c^2*d^14*f^2 - 432*a^8*b*c^4*d^12*f^2 - 240*a^8*b*c^6*d^10*f^2 + 240*a^8*b*c^8*d^8*f^2 + 432*a^8*b*c^10*d^6*f^2 + 240*a^8*b*c^12*d^4*f^2 + 48*a^8*b*c^14*d^2*f^2))*(-(((8*a^6*c^5*f^2 - 8*b^6*c^5*f^2 + 48*a*b^5*d^5*f^2 + 48*a^5*b*d^5*f^2 + 40*a^6*c*d^4*f^2 - 40*b^6*c*d^4*f^2 + 120*a^2*b^4*c^5*f^2 - 120*a^4*b^2*c^5*f^2 - 160*a^3*b^3*d^5*f^2 - 80*a^6*c^3*d^2*f^2 + 80*b^6*c^3*d^2*f^2 - 1200*a^2*b^4*c^3*d^2*f^2 + 1600*a^3*b^3*c^2*d^3*f^2 + 1200*a^4*b^2*c^3*d^2*f^2 + 240*a*b^5*c^4*d*f^2 + 240*a^5*b*c^4*d*f^2 - 480*a*b^5*c^2*d^3*f^2 + 600*a^2*b^4*c*d^4*f^2 - 800*a^3*b^3*c^4*d*f^2 - 600*a^4*b^2*c*d^4*f^2 - 480*a^5*b*c^2*d^3*f^2)^2/4 - (16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4)*(a^12 + b^12 + 6*a^2*b^10 + 15*a^4*b^8 + 20*a^6*b^6 + 15*a^8*b^4 + 6*a^10*b^2))^(1/2) + 4*a^6*c^5*f^2 - 4*b^6*c^5*f^2 + 24*a*b^5*d^5*f^2 + 24*a^5*b*d^5*f^2 + 20*a^6*c*d^4*f^2 - 20*b^6*c*d^4*f^2 + 60*a^2*b^4*c^5*f^2 - 60*a^4*b^2*c^5*f^2 - 80*a^3*b^3*d^5*f^2 - 40*a^6*c^3*d^2*f^2 + 40*b^6*c^3*d^2*f^2 - 600*a^2*b^4*c^3*d^2*f^2 + 800*a^3*b^3*c^2*d^3*f^2 + 600*a^4*b^2*c^3*d^2*f^2 + 120*a*b^5*c^4*d*f^2 + 120*a^5*b*c^4*d*f^2 - 240*a*b^5*c^2*d^3*f^2 + 300*a^2*b^4*c*d^4*f^2 - 400*a^3*b^3*c^4*d*f^2 - 300*a^4*b^2*c*d^4*f^2 - 240*a^5*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - ((2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(3*(c^2 + d^2)) + (2*(c + d*tan(e + f*x))*(b^3*c^4 + 3*a^2*b*d^4 + 2*a^3*c*d^3 + 3*b^3*c^2*d^2 - 3*a^2*b*c^2*d^2 - 6*a*b^2*c*d^3))/(c^2 + d^2)^2)/(d^2*f*(c + d*tan(e + f*x))^(3/2))","B"
1261,1,25298,195,22.063010,"\text{Not used}","int((a + b*tan(e + f*x))^2/(c + d*tan(e + f*x))^(5/2),x)","-\frac{\frac{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{3\,\left(c^2+d^2\right)}-\frac{4\,d\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)\,\left(-a^2\,c\,d+a\,b\,c^2-a\,b\,d^2+b^2\,c\,d\right)}{{\left(c^2+d^2\right)}^2}}{d\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}-\mathrm{atan}\left(-\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,b^2\,d^{21}\,f^4-32\,a^2\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^2\,d^{21}\,f^4+32\,b^2\,d^{21}\,f^4-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,b^2\,d^{21}\,f^4-32\,a^2\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}-\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^2\,d^{21}\,f^4+32\,b^2\,d^{21}\,f^4-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}-32\,a\,b^5\,d^{16}\,f^2-32\,a^5\,b\,d^{16}\,f^2-32\,a^6\,c\,d^{15}\,f^2+32\,b^6\,c\,d^{15}\,f^2-64\,a^3\,b^3\,d^{16}\,f^2-192\,a^6\,c^3\,d^{13}\,f^2-480\,a^6\,c^5\,d^{11}\,f^2-640\,a^6\,c^7\,d^9\,f^2-480\,a^6\,c^9\,d^7\,f^2-192\,a^6\,c^{11}\,d^5\,f^2-32\,a^6\,c^{13}\,d^3\,f^2+192\,b^6\,c^3\,d^{13}\,f^2+480\,b^6\,c^5\,d^{11}\,f^2+640\,b^6\,c^7\,d^9\,f^2+480\,b^6\,c^9\,d^7\,f^2+192\,b^6\,c^{11}\,d^5\,f^2+32\,b^6\,c^{13}\,d^3\,f^2+192\,a^2\,b^4\,c^3\,d^{13}\,f^2+480\,a^2\,b^4\,c^5\,d^{11}\,f^2+640\,a^2\,b^4\,c^7\,d^9\,f^2+480\,a^2\,b^4\,c^9\,d^7\,f^2+192\,a^2\,b^4\,c^{11}\,d^5\,f^2+32\,a^2\,b^4\,c^{13}\,d^3\,f^2-320\,a^3\,b^3\,c^2\,d^{14}\,f^2-576\,a^3\,b^3\,c^4\,d^{12}\,f^2-320\,a^3\,b^3\,c^6\,d^{10}\,f^2+320\,a^3\,b^3\,c^8\,d^8\,f^2+576\,a^3\,b^3\,c^{10}\,d^6\,f^2+320\,a^3\,b^3\,c^{12}\,d^4\,f^2+64\,a^3\,b^3\,c^{14}\,d^2\,f^2-192\,a^4\,b^2\,c^3\,d^{13}\,f^2-480\,a^4\,b^2\,c^5\,d^{11}\,f^2-640\,a^4\,b^2\,c^7\,d^9\,f^2-480\,a^4\,b^2\,c^9\,d^7\,f^2-192\,a^4\,b^2\,c^{11}\,d^5\,f^2-32\,a^4\,b^2\,c^{13}\,d^3\,f^2-160\,a\,b^5\,c^2\,d^{14}\,f^2-288\,a\,b^5\,c^4\,d^{12}\,f^2-160\,a\,b^5\,c^6\,d^{10}\,f^2+160\,a\,b^5\,c^8\,d^8\,f^2+288\,a\,b^5\,c^{10}\,d^6\,f^2+160\,a\,b^5\,c^{12}\,d^4\,f^2+32\,a\,b^5\,c^{14}\,d^2\,f^2+32\,a^2\,b^4\,c\,d^{15}\,f^2-32\,a^4\,b^2\,c\,d^{15}\,f^2-160\,a^5\,b\,c^2\,d^{14}\,f^2-288\,a^5\,b\,c^4\,d^{12}\,f^2-160\,a^5\,b\,c^6\,d^{10}\,f^2+160\,a^5\,b\,c^8\,d^8\,f^2+288\,a^5\,b\,c^{10}\,d^6\,f^2+160\,a^5\,b\,c^{12}\,d^4\,f^2+32\,a^5\,b\,c^{14}\,d^2\,f^2}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}-4\,a^4\,c^5\,f^2-4\,b^4\,c^5\,f^2+16\,a\,b^3\,d^5\,f^2-16\,a^3\,b\,d^5\,f^2-20\,a^4\,c\,d^4\,f^2-20\,b^4\,c\,d^4\,f^2+24\,a^2\,b^2\,c^5\,f^2+40\,a^4\,c^3\,d^2\,f^2+40\,b^4\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c^3\,d^2\,f^2+80\,a\,b^3\,c^4\,d\,f^2-80\,a^3\,b\,c^4\,d\,f^2-160\,a\,b^3\,c^2\,d^3\,f^2+120\,a^2\,b^2\,c\,d^4\,f^2+160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,b^2\,d^{21}\,f^4-32\,a^2\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^2\,d^{21}\,f^4+32\,b^2\,d^{21}\,f^4-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(32\,b^2\,d^{21}\,f^4-32\,a^2\,d^{21}\,f^4-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}-\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^4\,c^{16}\,d^2\,f^3+320\,a^4\,c^{12}\,d^6\,f^3+1024\,a^4\,c^{10}\,d^8\,f^3+1440\,a^4\,c^8\,d^{10}\,f^3+1024\,a^4\,c^6\,d^{12}\,f^3+320\,a^4\,c^4\,d^{14}\,f^3-16\,a^4\,d^{18}\,f^3-256\,a^3\,b\,c^{15}\,d^3\,f^3-1280\,a^3\,b\,c^{13}\,d^5\,f^3-2304\,a^3\,b\,c^{11}\,d^7\,f^3-1280\,a^3\,b\,c^9\,d^9\,f^3+1280\,a^3\,b\,c^7\,d^{11}\,f^3+2304\,a^3\,b\,c^5\,d^{13}\,f^3+1280\,a^3\,b\,c^3\,d^{15}\,f^3+256\,a^3\,b\,c\,d^{17}\,f^3+96\,a^2\,b^2\,c^{16}\,d^2\,f^3-1920\,a^2\,b^2\,c^{12}\,d^6\,f^3-6144\,a^2\,b^2\,c^{10}\,d^8\,f^3-8640\,a^2\,b^2\,c^8\,d^{10}\,f^3-6144\,a^2\,b^2\,c^6\,d^{12}\,f^3-1920\,a^2\,b^2\,c^4\,d^{14}\,f^3+96\,a^2\,b^2\,d^{18}\,f^3+256\,a\,b^3\,c^{15}\,d^3\,f^3+1280\,a\,b^3\,c^{13}\,d^5\,f^3+2304\,a\,b^3\,c^{11}\,d^7\,f^3+1280\,a\,b^3\,c^9\,d^9\,f^3-1280\,a\,b^3\,c^7\,d^{11}\,f^3-2304\,a\,b^3\,c^5\,d^{13}\,f^3-1280\,a\,b^3\,c^3\,d^{15}\,f^3-256\,a\,b^3\,c\,d^{17}\,f^3-16\,b^4\,c^{16}\,d^2\,f^3+320\,b^4\,c^{12}\,d^6\,f^3+1024\,b^4\,c^{10}\,d^8\,f^3+1440\,b^4\,c^8\,d^{10}\,f^3+1024\,b^4\,c^6\,d^{12}\,f^3+320\,b^4\,c^4\,d^{14}\,f^3-16\,b^4\,d^{18}\,f^3\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-32\,a^2\,d^{21}\,f^4+32\,b^2\,d^{21}\,f^4-160\,a^2\,c^2\,d^{19}\,f^4-128\,a^2\,c^4\,d^{17}\,f^4+896\,a^2\,c^6\,d^{15}\,f^4+3136\,a^2\,c^8\,d^{13}\,f^4+4928\,a^2\,c^{10}\,d^{11}\,f^4+4480\,a^2\,c^{12}\,d^9\,f^4+2432\,a^2\,c^{14}\,d^7\,f^4+736\,a^2\,c^{16}\,d^5\,f^4+96\,a^2\,c^{18}\,d^3\,f^4+160\,b^2\,c^2\,d^{19}\,f^4+128\,b^2\,c^4\,d^{17}\,f^4-896\,b^2\,c^6\,d^{15}\,f^4-3136\,b^2\,c^8\,d^{13}\,f^4-4928\,b^2\,c^{10}\,d^{11}\,f^4-4480\,b^2\,c^{12}\,d^9\,f^4-2432\,b^2\,c^{14}\,d^7\,f^4-736\,b^2\,c^{16}\,d^5\,f^4-96\,b^2\,c^{18}\,d^3\,f^4+192\,a\,b\,c\,d^{20}\,f^4+1472\,a\,b\,c^3\,d^{18}\,f^4+4864\,a\,b\,c^5\,d^{16}\,f^4+8960\,a\,b\,c^7\,d^{14}\,f^4+9856\,a\,b\,c^9\,d^{12}\,f^4+6272\,a\,b\,c^{11}\,d^{10}\,f^4+1792\,a\,b\,c^{13}\,d^8\,f^4-256\,a\,b\,c^{15}\,d^6\,f^4-320\,a\,b\,c^{17}\,d^4\,f^4-64\,a\,b\,c^{19}\,d^2\,f^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}-32\,a\,b^5\,d^{16}\,f^2-32\,a^5\,b\,d^{16}\,f^2-32\,a^6\,c\,d^{15}\,f^2+32\,b^6\,c\,d^{15}\,f^2-64\,a^3\,b^3\,d^{16}\,f^2-192\,a^6\,c^3\,d^{13}\,f^2-480\,a^6\,c^5\,d^{11}\,f^2-640\,a^6\,c^7\,d^9\,f^2-480\,a^6\,c^9\,d^7\,f^2-192\,a^6\,c^{11}\,d^5\,f^2-32\,a^6\,c^{13}\,d^3\,f^2+192\,b^6\,c^3\,d^{13}\,f^2+480\,b^6\,c^5\,d^{11}\,f^2+640\,b^6\,c^7\,d^9\,f^2+480\,b^6\,c^9\,d^7\,f^2+192\,b^6\,c^{11}\,d^5\,f^2+32\,b^6\,c^{13}\,d^3\,f^2+192\,a^2\,b^4\,c^3\,d^{13}\,f^2+480\,a^2\,b^4\,c^5\,d^{11}\,f^2+640\,a^2\,b^4\,c^7\,d^9\,f^2+480\,a^2\,b^4\,c^9\,d^7\,f^2+192\,a^2\,b^4\,c^{11}\,d^5\,f^2+32\,a^2\,b^4\,c^{13}\,d^3\,f^2-320\,a^3\,b^3\,c^2\,d^{14}\,f^2-576\,a^3\,b^3\,c^4\,d^{12}\,f^2-320\,a^3\,b^3\,c^6\,d^{10}\,f^2+320\,a^3\,b^3\,c^8\,d^8\,f^2+576\,a^3\,b^3\,c^{10}\,d^6\,f^2+320\,a^3\,b^3\,c^{12}\,d^4\,f^2+64\,a^3\,b^3\,c^{14}\,d^2\,f^2-192\,a^4\,b^2\,c^3\,d^{13}\,f^2-480\,a^4\,b^2\,c^5\,d^{11}\,f^2-640\,a^4\,b^2\,c^7\,d^9\,f^2-480\,a^4\,b^2\,c^9\,d^7\,f^2-192\,a^4\,b^2\,c^{11}\,d^5\,f^2-32\,a^4\,b^2\,c^{13}\,d^3\,f^2-160\,a\,b^5\,c^2\,d^{14}\,f^2-288\,a\,b^5\,c^4\,d^{12}\,f^2-160\,a\,b^5\,c^6\,d^{10}\,f^2+160\,a\,b^5\,c^8\,d^8\,f^2+288\,a\,b^5\,c^{10}\,d^6\,f^2+160\,a\,b^5\,c^{12}\,d^4\,f^2+32\,a\,b^5\,c^{14}\,d^2\,f^2+32\,a^2\,b^4\,c\,d^{15}\,f^2-32\,a^4\,b^2\,c\,d^{15}\,f^2-160\,a^5\,b\,c^2\,d^{14}\,f^2-288\,a^5\,b\,c^4\,d^{12}\,f^2-160\,a^5\,b\,c^6\,d^{10}\,f^2+160\,a^5\,b\,c^8\,d^8\,f^2+288\,a^5\,b\,c^{10}\,d^6\,f^2+160\,a^5\,b\,c^{12}\,d^4\,f^2+32\,a^5\,b\,c^{14}\,d^2\,f^2}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a^4\,c^5\,f^2-80\,a^4\,c^3\,d^2\,f^2+40\,a^4\,c\,d^4\,f^2+160\,a^3\,b\,c^4\,d\,f^2-320\,a^3\,b\,c^2\,d^3\,f^2+32\,a^3\,b\,d^5\,f^2-48\,a^2\,b^2\,c^5\,f^2+480\,a^2\,b^2\,c^3\,d^2\,f^2-240\,a^2\,b^2\,c\,d^4\,f^2-160\,a\,b^3\,c^4\,d\,f^2+320\,a\,b^3\,c^2\,d^3\,f^2-32\,a\,b^3\,d^5\,f^2+8\,b^4\,c^5\,f^2-80\,b^4\,c^3\,d^2\,f^2+40\,b^4\,c\,d^4\,f^2\right)}^2}{4}-\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)\,\left(16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4\right)}+4\,a^4\,c^5\,f^2+4\,b^4\,c^5\,f^2-16\,a\,b^3\,d^5\,f^2+16\,a^3\,b\,d^5\,f^2+20\,a^4\,c\,d^4\,f^2+20\,b^4\,c\,d^4\,f^2-24\,a^2\,b^2\,c^5\,f^2-40\,a^4\,c^3\,d^2\,f^2-40\,b^4\,c^3\,d^2\,f^2+240\,a^2\,b^2\,c^3\,d^2\,f^2-80\,a\,b^3\,c^4\,d\,f^2+80\,a^3\,b\,c^4\,d\,f^2+160\,a\,b^3\,c^2\,d^3\,f^2-120\,a^2\,b^2\,c\,d^4\,f^2-160\,a^3\,b\,c^2\,d^3\,f^2}{16\,\left(c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(-(((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) + ((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*b^2*d^21*f^4 - 32*a^2*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i + ((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) - ((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^2*d^21*f^4 + 32*b^2*d^21*f^4 - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/(((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) + ((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*b^2*d^21*f^4 - 32*a^2*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) - ((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^2*d^21*f^4 + 32*b^2*d^21*f^4 - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - 32*a*b^5*d^16*f^2 - 32*a^5*b*d^16*f^2 - 32*a^6*c*d^15*f^2 + 32*b^6*c*d^15*f^2 - 64*a^3*b^3*d^16*f^2 - 192*a^6*c^3*d^13*f^2 - 480*a^6*c^5*d^11*f^2 - 640*a^6*c^7*d^9*f^2 - 480*a^6*c^9*d^7*f^2 - 192*a^6*c^11*d^5*f^2 - 32*a^6*c^13*d^3*f^2 + 192*b^6*c^3*d^13*f^2 + 480*b^6*c^5*d^11*f^2 + 640*b^6*c^7*d^9*f^2 + 480*b^6*c^9*d^7*f^2 + 192*b^6*c^11*d^5*f^2 + 32*b^6*c^13*d^3*f^2 + 192*a^2*b^4*c^3*d^13*f^2 + 480*a^2*b^4*c^5*d^11*f^2 + 640*a^2*b^4*c^7*d^9*f^2 + 480*a^2*b^4*c^9*d^7*f^2 + 192*a^2*b^4*c^11*d^5*f^2 + 32*a^2*b^4*c^13*d^3*f^2 - 320*a^3*b^3*c^2*d^14*f^2 - 576*a^3*b^3*c^4*d^12*f^2 - 320*a^3*b^3*c^6*d^10*f^2 + 320*a^3*b^3*c^8*d^8*f^2 + 576*a^3*b^3*c^10*d^6*f^2 + 320*a^3*b^3*c^12*d^4*f^2 + 64*a^3*b^3*c^14*d^2*f^2 - 192*a^4*b^2*c^3*d^13*f^2 - 480*a^4*b^2*c^5*d^11*f^2 - 640*a^4*b^2*c^7*d^9*f^2 - 480*a^4*b^2*c^9*d^7*f^2 - 192*a^4*b^2*c^11*d^5*f^2 - 32*a^4*b^2*c^13*d^3*f^2 - 160*a*b^5*c^2*d^14*f^2 - 288*a*b^5*c^4*d^12*f^2 - 160*a*b^5*c^6*d^10*f^2 + 160*a*b^5*c^8*d^8*f^2 + 288*a*b^5*c^10*d^6*f^2 + 160*a*b^5*c^12*d^4*f^2 + 32*a*b^5*c^14*d^2*f^2 + 32*a^2*b^4*c*d^15*f^2 - 32*a^4*b^2*c*d^15*f^2 - 160*a^5*b*c^2*d^14*f^2 - 288*a^5*b*c^4*d^12*f^2 - 160*a^5*b*c^6*d^10*f^2 + 160*a^5*b*c^8*d^8*f^2 + 288*a^5*b*c^10*d^6*f^2 + 160*a^5*b*c^12*d^4*f^2 + 32*a^5*b*c^14*d^2*f^2))*((((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - 4*a^4*c^5*f^2 - 4*b^4*c^5*f^2 + 16*a*b^3*d^5*f^2 - 16*a^3*b*d^5*f^2 - 20*a^4*c*d^4*f^2 - 20*b^4*c*d^4*f^2 + 24*a^2*b^2*c^5*f^2 + 40*a^4*c^3*d^2*f^2 + 40*b^4*c^3*d^2*f^2 - 240*a^2*b^2*c^3*d^2*f^2 + 80*a*b^3*c^4*d*f^2 - 80*a^3*b*c^4*d*f^2 - 160*a*b^3*c^2*d^3*f^2 + 120*a^2*b^2*c*d^4*f^2 + 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - atan(-(((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) + (-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*b^2*d^21*f^4 - 32*a^2*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i + ((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) - (-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^2*d^21*f^4 + 32*b^2*d^21*f^4 - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*1i)/(((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) + (-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(32*b^2*d^21*f^4 - 32*a^2*d^21*f^4 - (c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - ((c + d*tan(e + f*x))^(1/2)*(96*a^2*b^2*d^18*f^3 - 16*b^4*d^18*f^3 - 16*a^4*d^18*f^3 + 320*a^4*c^4*d^14*f^3 + 1024*a^4*c^6*d^12*f^3 + 1440*a^4*c^8*d^10*f^3 + 1024*a^4*c^10*d^8*f^3 + 320*a^4*c^12*d^6*f^3 - 16*a^4*c^16*d^2*f^3 + 320*b^4*c^4*d^14*f^3 + 1024*b^4*c^6*d^12*f^3 + 1440*b^4*c^8*d^10*f^3 + 1024*b^4*c^10*d^8*f^3 + 320*b^4*c^12*d^6*f^3 - 16*b^4*c^16*d^2*f^3 - 1920*a^2*b^2*c^4*d^14*f^3 - 6144*a^2*b^2*c^6*d^12*f^3 - 8640*a^2*b^2*c^8*d^10*f^3 - 6144*a^2*b^2*c^10*d^8*f^3 - 1920*a^2*b^2*c^12*d^6*f^3 + 96*a^2*b^2*c^16*d^2*f^3 - 256*a*b^3*c*d^17*f^3 + 256*a^3*b*c*d^17*f^3 - 1280*a*b^3*c^3*d^15*f^3 - 2304*a*b^3*c^5*d^13*f^3 - 1280*a*b^3*c^7*d^11*f^3 + 1280*a*b^3*c^9*d^9*f^3 + 2304*a*b^3*c^11*d^7*f^3 + 1280*a*b^3*c^13*d^5*f^3 + 256*a*b^3*c^15*d^3*f^3 + 1280*a^3*b*c^3*d^15*f^3 + 2304*a^3*b*c^5*d^13*f^3 + 1280*a^3*b*c^7*d^11*f^3 - 1280*a^3*b*c^9*d^9*f^3 - 2304*a^3*b*c^11*d^7*f^3 - 1280*a^3*b*c^13*d^5*f^3 - 256*a^3*b*c^15*d^3*f^3) - (-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 32*a^2*d^21*f^4 + 32*b^2*d^21*f^4 - 160*a^2*c^2*d^19*f^4 - 128*a^2*c^4*d^17*f^4 + 896*a^2*c^6*d^15*f^4 + 3136*a^2*c^8*d^13*f^4 + 4928*a^2*c^10*d^11*f^4 + 4480*a^2*c^12*d^9*f^4 + 2432*a^2*c^14*d^7*f^4 + 736*a^2*c^16*d^5*f^4 + 96*a^2*c^18*d^3*f^4 + 160*b^2*c^2*d^19*f^4 + 128*b^2*c^4*d^17*f^4 - 896*b^2*c^6*d^15*f^4 - 3136*b^2*c^8*d^13*f^4 - 4928*b^2*c^10*d^11*f^4 - 4480*b^2*c^12*d^9*f^4 - 2432*b^2*c^14*d^7*f^4 - 736*b^2*c^16*d^5*f^4 - 96*b^2*c^18*d^3*f^4 + 192*a*b*c*d^20*f^4 + 1472*a*b*c^3*d^18*f^4 + 4864*a*b*c^5*d^16*f^4 + 8960*a*b*c^7*d^14*f^4 + 9856*a*b*c^9*d^12*f^4 + 6272*a*b*c^11*d^10*f^4 + 1792*a*b*c^13*d^8*f^4 - 256*a*b*c^15*d^6*f^4 - 320*a*b*c^17*d^4*f^4 - 64*a*b*c^19*d^2*f^4))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2) - 32*a*b^5*d^16*f^2 - 32*a^5*b*d^16*f^2 - 32*a^6*c*d^15*f^2 + 32*b^6*c*d^15*f^2 - 64*a^3*b^3*d^16*f^2 - 192*a^6*c^3*d^13*f^2 - 480*a^6*c^5*d^11*f^2 - 640*a^6*c^7*d^9*f^2 - 480*a^6*c^9*d^7*f^2 - 192*a^6*c^11*d^5*f^2 - 32*a^6*c^13*d^3*f^2 + 192*b^6*c^3*d^13*f^2 + 480*b^6*c^5*d^11*f^2 + 640*b^6*c^7*d^9*f^2 + 480*b^6*c^9*d^7*f^2 + 192*b^6*c^11*d^5*f^2 + 32*b^6*c^13*d^3*f^2 + 192*a^2*b^4*c^3*d^13*f^2 + 480*a^2*b^4*c^5*d^11*f^2 + 640*a^2*b^4*c^7*d^9*f^2 + 480*a^2*b^4*c^9*d^7*f^2 + 192*a^2*b^4*c^11*d^5*f^2 + 32*a^2*b^4*c^13*d^3*f^2 - 320*a^3*b^3*c^2*d^14*f^2 - 576*a^3*b^3*c^4*d^12*f^2 - 320*a^3*b^3*c^6*d^10*f^2 + 320*a^3*b^3*c^8*d^8*f^2 + 576*a^3*b^3*c^10*d^6*f^2 + 320*a^3*b^3*c^12*d^4*f^2 + 64*a^3*b^3*c^14*d^2*f^2 - 192*a^4*b^2*c^3*d^13*f^2 - 480*a^4*b^2*c^5*d^11*f^2 - 640*a^4*b^2*c^7*d^9*f^2 - 480*a^4*b^2*c^9*d^7*f^2 - 192*a^4*b^2*c^11*d^5*f^2 - 32*a^4*b^2*c^13*d^3*f^2 - 160*a*b^5*c^2*d^14*f^2 - 288*a*b^5*c^4*d^12*f^2 - 160*a*b^5*c^6*d^10*f^2 + 160*a*b^5*c^8*d^8*f^2 + 288*a*b^5*c^10*d^6*f^2 + 160*a*b^5*c^12*d^4*f^2 + 32*a*b^5*c^14*d^2*f^2 + 32*a^2*b^4*c*d^15*f^2 - 32*a^4*b^2*c*d^15*f^2 - 160*a^5*b*c^2*d^14*f^2 - 288*a^5*b*c^4*d^12*f^2 - 160*a^5*b*c^6*d^10*f^2 + 160*a^5*b*c^8*d^8*f^2 + 288*a^5*b*c^10*d^6*f^2 + 160*a^5*b*c^12*d^4*f^2 + 32*a^5*b*c^14*d^2*f^2))*(-(((8*a^4*c^5*f^2 + 8*b^4*c^5*f^2 - 32*a*b^3*d^5*f^2 + 32*a^3*b*d^5*f^2 + 40*a^4*c*d^4*f^2 + 40*b^4*c*d^4*f^2 - 48*a^2*b^2*c^5*f^2 - 80*a^4*c^3*d^2*f^2 - 80*b^4*c^3*d^2*f^2 + 480*a^2*b^2*c^3*d^2*f^2 - 160*a*b^3*c^4*d*f^2 + 160*a^3*b*c^4*d*f^2 + 320*a*b^3*c^2*d^3*f^2 - 240*a^2*b^2*c*d^4*f^2 - 320*a^3*b*c^2*d^3*f^2)^2/4 - (a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)*(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + 4*a^4*c^5*f^2 + 4*b^4*c^5*f^2 - 16*a*b^3*d^5*f^2 + 16*a^3*b*d^5*f^2 + 20*a^4*c*d^4*f^2 + 20*b^4*c*d^4*f^2 - 24*a^2*b^2*c^5*f^2 - 40*a^4*c^3*d^2*f^2 - 40*b^4*c^3*d^2*f^2 + 240*a^2*b^2*c^3*d^2*f^2 - 80*a*b^3*c^4*d*f^2 + 80*a^3*b*c^4*d*f^2 + 160*a*b^3*c^2*d^3*f^2 - 120*a^2*b^2*c*d^4*f^2 - 160*a^3*b*c^2*d^3*f^2)/(16*(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4)))^(1/2)*2i - ((2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(3*(c^2 + d^2)) - (4*d*(c + d*tan(e + f*x))*(a*b*c^2 - a*b*d^2 - a^2*c*d + b^2*c*d))/(c^2 + d^2)^2)/(d*f*(c + d*tan(e + f*x))^(3/2))","B"
1262,1,9459,186,22.925902,"\text{Not used}","int((a + b*tan(e + f*x))/(c + d*tan(e + f*x))^(5/2),x)","\frac{\ln\left(8\,b^3\,d^{16}\,f^2-\frac{\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)}{4}+736\,b\,c^3\,d^{18}\,f^4+2432\,b\,c^5\,d^{16}\,f^4+4480\,b\,c^7\,d^{14}\,f^4+4928\,b\,c^9\,d^{12}\,f^4+3136\,b\,c^{11}\,d^{10}\,f^4+896\,b\,c^{13}\,d^8\,f^4-128\,b\,c^{15}\,d^6\,f^4-160\,b\,c^{17}\,d^4\,f^4-32\,b\,c^{19}\,d^2\,f^4+96\,b\,c\,d^{20}\,f^4\right)}{4}+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^{16}\,d^2\,f^3+320\,b^2\,c^{12}\,d^6\,f^3+1024\,b^2\,c^{10}\,d^8\,f^3+1440\,b^2\,c^8\,d^{10}\,f^3+1024\,b^2\,c^6\,d^{12}\,f^3+320\,b^2\,c^4\,d^{14}\,f^3-16\,b^2\,d^{18}\,f^3\right)\right)}{4}+40\,b^3\,c^2\,d^{14}\,f^2+72\,b^3\,c^4\,d^{12}\,f^2+40\,b^3\,c^6\,d^{10}\,f^2-40\,b^3\,c^8\,d^8\,f^2-72\,b^3\,c^{10}\,d^6\,f^2-40\,b^3\,c^{12}\,d^4\,f^2-8\,b^3\,c^{14}\,d^2\,f^2\right)\,\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}+\frac{\ln\left(8\,b^3\,d^{16}\,f^2-\frac{\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)}{4}+736\,b\,c^3\,d^{18}\,f^4+2432\,b\,c^5\,d^{16}\,f^4+4480\,b\,c^7\,d^{14}\,f^4+4928\,b\,c^9\,d^{12}\,f^4+3136\,b\,c^{11}\,d^{10}\,f^4+896\,b\,c^{13}\,d^8\,f^4-128\,b\,c^{15}\,d^6\,f^4-160\,b\,c^{17}\,d^4\,f^4-32\,b\,c^{19}\,d^2\,f^4+96\,b\,c\,d^{20}\,f^4\right)}{4}+\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^{16}\,d^2\,f^3+320\,b^2\,c^{12}\,d^6\,f^3+1024\,b^2\,c^{10}\,d^8\,f^3+1440\,b^2\,c^8\,d^{10}\,f^3+1024\,b^2\,c^6\,d^{12}\,f^3+320\,b^2\,c^4\,d^{14}\,f^3-16\,b^2\,d^{18}\,f^3\right)\right)}{4}+40\,b^3\,c^2\,d^{14}\,f^2+72\,b^3\,c^4\,d^{12}\,f^2+40\,b^3\,c^6\,d^{10}\,f^2-40\,b^3\,c^8\,d^8\,f^2-72\,b^3\,c^{10}\,d^6\,f^2-40\,b^3\,c^{12}\,d^4\,f^2-8\,b^3\,c^{14}\,d^2\,f^2\right)\,\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}-\ln\left(8\,b^3\,d^{16}\,f^2-\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(736\,b\,c^3\,d^{18}\,f^4-\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)+2432\,b\,c^5\,d^{16}\,f^4+4480\,b\,c^7\,d^{14}\,f^4+4928\,b\,c^9\,d^{12}\,f^4+3136\,b\,c^{11}\,d^{10}\,f^4+896\,b\,c^{13}\,d^8\,f^4-128\,b\,c^{15}\,d^6\,f^4-160\,b\,c^{17}\,d^4\,f^4-32\,b\,c^{19}\,d^2\,f^4+96\,b\,c\,d^{20}\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^{16}\,d^2\,f^3+320\,b^2\,c^{12}\,d^6\,f^3+1024\,b^2\,c^{10}\,d^8\,f^3+1440\,b^2\,c^8\,d^{10}\,f^3+1024\,b^2\,c^6\,d^{12}\,f^3+320\,b^2\,c^4\,d^{14}\,f^3-16\,b^2\,d^{18}\,f^3\right)\right)+40\,b^3\,c^2\,d^{14}\,f^2+72\,b^3\,c^4\,d^{12}\,f^2+40\,b^3\,c^6\,d^{10}\,f^2-40\,b^3\,c^8\,d^8\,f^2-72\,b^3\,c^{10}\,d^6\,f^2-40\,b^3\,c^{12}\,d^4\,f^2-8\,b^3\,c^{14}\,d^2\,f^2\right)\,\sqrt{\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}+4\,b^2\,c^5\,f^2+20\,b^2\,c\,d^4\,f^2-40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}-\ln\left(8\,b^3\,d^{16}\,f^2-\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(736\,b\,c^3\,d^{18}\,f^4-\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)+2432\,b\,c^5\,d^{16}\,f^4+4480\,b\,c^7\,d^{14}\,f^4+4928\,b\,c^9\,d^{12}\,f^4+3136\,b\,c^{11}\,d^{10}\,f^4+896\,b\,c^{13}\,d^8\,f^4-128\,b\,c^{15}\,d^6\,f^4-160\,b\,c^{17}\,d^4\,f^4-32\,b\,c^{19}\,d^2\,f^4+96\,b\,c\,d^{20}\,f^4\right)-\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,b^2\,c^{16}\,d^2\,f^3+320\,b^2\,c^{12}\,d^6\,f^3+1024\,b^2\,c^{10}\,d^8\,f^3+1440\,b^2\,c^8\,d^{10}\,f^3+1024\,b^2\,c^6\,d^{12}\,f^3+320\,b^2\,c^4\,d^{14}\,f^3-16\,b^2\,d^{18}\,f^3\right)\right)+40\,b^3\,c^2\,d^{14}\,f^2+72\,b^3\,c^4\,d^{12}\,f^2+40\,b^3\,c^6\,d^{10}\,f^2-40\,b^3\,c^8\,d^8\,f^2-72\,b^3\,c^{10}\,d^6\,f^2-40\,b^3\,c^{12}\,d^4\,f^2-8\,b^3\,c^{14}\,d^2\,f^2\right)\,\sqrt{-\frac{\sqrt{-400\,b^4\,c^8\,d^2\,f^4+1600\,b^4\,c^6\,d^4\,f^4-1760\,b^4\,c^4\,d^6\,f^4+320\,b^4\,c^2\,d^8\,f^4-16\,b^4\,d^{10}\,f^4}-4\,b^2\,c^5\,f^2-20\,b^2\,c\,d^4\,f^2+40\,b^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}+\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)-\frac{\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)}{4}-32\,a\,d^{21}\,f^4-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4+896\,a\,c^6\,d^{15}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)}{4}\right)}{4}+16\,a^3\,c\,d^{15}\,f^2+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)-\frac{\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)}{4}-32\,a\,d^{21}\,f^4-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4+896\,a\,c^6\,d^{15}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)}{4}\right)}{4}+16\,a^3\,c\,d^{15}\,f^2+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{c^{10}\,f^4+5\,c^8\,d^2\,f^4+10\,c^6\,d^4\,f^4+10\,c^4\,d^6\,f^4+5\,c^2\,d^8\,f^4+d^{10}\,f^4}}}{4}-\ln\left(16\,a^3\,c\,d^{15}\,f^2-\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)+\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(896\,a\,c^6\,d^{15}\,f^4-\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4-32\,a\,d^{21}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)\right)+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}-4\,a^2\,c^5\,f^2-20\,a^2\,c\,d^4\,f^2+40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}-\ln\left(16\,a^3\,c\,d^{15}\,f^2-\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(-16\,a^2\,c^{16}\,d^2\,f^3+320\,a^2\,c^{12}\,d^6\,f^3+1024\,a^2\,c^{10}\,d^8\,f^3+1440\,a^2\,c^8\,d^{10}\,f^3+1024\,a^2\,c^6\,d^{12}\,f^3+320\,a^2\,c^4\,d^{14}\,f^3-16\,a^2\,d^{18}\,f^3\right)+\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\left(896\,a\,c^6\,d^{15}\,f^4-\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}\,\left(64\,c^{21}\,d^2\,f^5+640\,c^{19}\,d^4\,f^5+2880\,c^{17}\,d^6\,f^5+7680\,c^{15}\,d^8\,f^5+13440\,c^{13}\,d^{10}\,f^5+16128\,c^{11}\,d^{12}\,f^5+13440\,c^9\,d^{14}\,f^5+7680\,c^7\,d^{16}\,f^5+2880\,c^5\,d^{18}\,f^5+640\,c^3\,d^{20}\,f^5+64\,c\,d^{22}\,f^5\right)-160\,a\,c^2\,d^{19}\,f^4-128\,a\,c^4\,d^{17}\,f^4-32\,a\,d^{21}\,f^4+3136\,a\,c^8\,d^{13}\,f^4+4928\,a\,c^{10}\,d^{11}\,f^4+4480\,a\,c^{12}\,d^9\,f^4+2432\,a\,c^{14}\,d^7\,f^4+736\,a\,c^{16}\,d^5\,f^4+96\,a\,c^{18}\,d^3\,f^4\right)\right)+96\,a^3\,c^3\,d^{13}\,f^2+240\,a^3\,c^5\,d^{11}\,f^2+320\,a^3\,c^7\,d^9\,f^2+240\,a^3\,c^9\,d^7\,f^2+96\,a^3\,c^{11}\,d^5\,f^2+16\,a^3\,c^{13}\,d^3\,f^2\right)\,\sqrt{-\frac{\sqrt{-400\,a^4\,c^8\,d^2\,f^4+1600\,a^4\,c^6\,d^4\,f^4-1760\,a^4\,c^4\,d^6\,f^4+320\,a^4\,c^2\,d^8\,f^4-16\,a^4\,d^{10}\,f^4}+4\,a^2\,c^5\,f^2+20\,a^2\,c\,d^4\,f^2-40\,a^2\,c^3\,d^2\,f^2}{16\,c^{10}\,f^4+80\,c^8\,d^2\,f^4+160\,c^6\,d^4\,f^4+160\,c^4\,d^6\,f^4+80\,c^2\,d^8\,f^4+16\,d^{10}\,f^4}}-\frac{\frac{2\,a\,d}{3\,\left(c^2+d^2\right)}+\frac{4\,a\,c\,d\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}{{\left(c^2+d^2\right)}^2}}{f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}+\frac{\frac{2\,b\,c}{3\,\left(c^2+d^2\right)}+\frac{2\,b\,\left(c^2-d^2\right)\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}{{\left(c^2+d^2\right)}^2}}{f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}","Not used",1,"(log(8*b^3*d^16*f^2 - ((((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5))/4 + 736*b*c^3*d^18*f^4 + 2432*b*c^5*d^16*f^4 + 4480*b*c^7*d^14*f^4 + 4928*b*c^9*d^12*f^4 + 3136*b*c^11*d^10*f^4 + 896*b*c^13*d^8*f^4 - 128*b*c^15*d^6*f^4 - 160*b*c^17*d^4*f^4 - 32*b*c^19*d^2*f^4 + 96*b*c*d^20*f^4))/4 + (c + d*tan(e + f*x))^(1/2)*(320*b^2*c^4*d^14*f^3 - 16*b^2*d^18*f^3 + 1024*b^2*c^6*d^12*f^3 + 1440*b^2*c^8*d^10*f^3 + 1024*b^2*c^10*d^8*f^3 + 320*b^2*c^12*d^6*f^3 - 16*b^2*c^16*d^2*f^3)))/4 + 40*b^3*c^2*d^14*f^2 + 72*b^3*c^4*d^12*f^2 + 40*b^3*c^6*d^10*f^2 - 40*b^3*c^8*d^8*f^2 - 72*b^3*c^10*d^6*f^2 - 40*b^3*c^12*d^4*f^2 - 8*b^3*c^14*d^2*f^2)*(((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 + (log(8*b^3*d^16*f^2 - ((-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5))/4 + 736*b*c^3*d^18*f^4 + 2432*b*c^5*d^16*f^4 + 4480*b*c^7*d^14*f^4 + 4928*b*c^9*d^12*f^4 + 3136*b*c^11*d^10*f^4 + 896*b*c^13*d^8*f^4 - 128*b*c^15*d^6*f^4 - 160*b*c^17*d^4*f^4 - 32*b*c^19*d^2*f^4 + 96*b*c*d^20*f^4))/4 + (c + d*tan(e + f*x))^(1/2)*(320*b^2*c^4*d^14*f^3 - 16*b^2*d^18*f^3 + 1024*b^2*c^6*d^12*f^3 + 1440*b^2*c^8*d^10*f^3 + 1024*b^2*c^10*d^8*f^3 + 320*b^2*c^12*d^6*f^3 - 16*b^2*c^16*d^2*f^3)))/4 + 40*b^3*c^2*d^14*f^2 + 72*b^3*c^4*d^12*f^2 + 40*b^3*c^6*d^10*f^2 - 40*b^3*c^8*d^8*f^2 - 72*b^3*c^10*d^6*f^2 - 40*b^3*c^12*d^4*f^2 - 8*b^3*c^14*d^2*f^2)*(-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 - log(8*b^3*d^16*f^2 - (((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*((((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(736*b*c^3*d^18*f^4 - (((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) + 2432*b*c^5*d^16*f^4 + 4480*b*c^7*d^14*f^4 + 4928*b*c^9*d^12*f^4 + 3136*b*c^11*d^10*f^4 + 896*b*c^13*d^8*f^4 - 128*b*c^15*d^6*f^4 - 160*b*c^17*d^4*f^4 - 32*b*c^19*d^2*f^4 + 96*b*c*d^20*f^4) - (c + d*tan(e + f*x))^(1/2)*(320*b^2*c^4*d^14*f^3 - 16*b^2*d^18*f^3 + 1024*b^2*c^6*d^12*f^3 + 1440*b^2*c^8*d^10*f^3 + 1024*b^2*c^10*d^8*f^3 + 320*b^2*c^12*d^6*f^3 - 16*b^2*c^16*d^2*f^3)) + 40*b^3*c^2*d^14*f^2 + 72*b^3*c^4*d^12*f^2 + 40*b^3*c^6*d^10*f^2 - 40*b^3*c^8*d^8*f^2 - 72*b^3*c^10*d^6*f^2 - 40*b^3*c^12*d^4*f^2 - 8*b^3*c^14*d^2*f^2)*(((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) + 4*b^2*c^5*f^2 + 20*b^2*c*d^4*f^2 - 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - log(8*b^3*d^16*f^2 - (-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*((-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(736*b*c^3*d^18*f^4 - (-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) + 2432*b*c^5*d^16*f^4 + 4480*b*c^7*d^14*f^4 + 4928*b*c^9*d^12*f^4 + 3136*b*c^11*d^10*f^4 + 896*b*c^13*d^8*f^4 - 128*b*c^15*d^6*f^4 - 160*b*c^17*d^4*f^4 - 32*b*c^19*d^2*f^4 + 96*b*c*d^20*f^4) - (c + d*tan(e + f*x))^(1/2)*(320*b^2*c^4*d^14*f^3 - 16*b^2*d^18*f^3 + 1024*b^2*c^6*d^12*f^3 + 1440*b^2*c^8*d^10*f^3 + 1024*b^2*c^10*d^8*f^3 + 320*b^2*c^12*d^6*f^3 - 16*b^2*c^16*d^2*f^3)) + 40*b^3*c^2*d^14*f^2 + 72*b^3*c^4*d^12*f^2 + 40*b^3*c^6*d^10*f^2 - 40*b^3*c^8*d^8*f^2 - 72*b^3*c^10*d^6*f^2 - 40*b^3*c^12*d^4*f^2 - 8*b^3*c^14*d^2*f^2)*(-((320*b^4*c^2*d^8*f^4 - 16*b^4*d^10*f^4 - 1760*b^4*c^4*d^6*f^4 + 1600*b^4*c^6*d^4*f^4 - 400*b^4*c^8*d^2*f^4)^(1/2) - 4*b^2*c^5*f^2 - 20*b^2*c*d^4*f^2 + 40*b^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) + (log(((((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) - ((((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5))/4 - 32*a*d^21*f^4 - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 + 896*a*c^6*d^15*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4))/4))/4 + 16*a^3*c*d^15*f^2 + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 + (log(((-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) - ((-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(((-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5))/4 - 32*a*d^21*f^4 - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 + 896*a*c^6*d^15*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4))/4))/4 + 16*a^3*c*d^15*f^2 + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(c^10*f^4 + d^10*f^4 + 5*c^2*d^8*f^4 + 10*c^4*d^6*f^4 + 10*c^6*d^4*f^4 + 5*c^8*d^2*f^4))^(1/2))/4 - log(16*a^3*c*d^15*f^2 - (((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) + (((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(896*a*c^6*d^15*f^4 - (((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 - 32*a*d^21*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4)) + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) - 4*a^2*c^5*f^2 - 20*a^2*c*d^4*f^2 + 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - log(16*a^3*c*d^15*f^2 - (-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*((c + d*tan(e + f*x))^(1/2)*(320*a^2*c^4*d^14*f^3 - 16*a^2*d^18*f^3 + 1024*a^2*c^6*d^12*f^3 + 1440*a^2*c^8*d^10*f^3 + 1024*a^2*c^10*d^8*f^3 + 320*a^2*c^12*d^6*f^3 - 16*a^2*c^16*d^2*f^3) + (-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(896*a*c^6*d^15*f^4 - (-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2)*(c + d*tan(e + f*x))^(1/2)*(64*c*d^22*f^5 + 640*c^3*d^20*f^5 + 2880*c^5*d^18*f^5 + 7680*c^7*d^16*f^5 + 13440*c^9*d^14*f^5 + 16128*c^11*d^12*f^5 + 13440*c^13*d^10*f^5 + 7680*c^15*d^8*f^5 + 2880*c^17*d^6*f^5 + 640*c^19*d^4*f^5 + 64*c^21*d^2*f^5) - 160*a*c^2*d^19*f^4 - 128*a*c^4*d^17*f^4 - 32*a*d^21*f^4 + 3136*a*c^8*d^13*f^4 + 4928*a*c^10*d^11*f^4 + 4480*a*c^12*d^9*f^4 + 2432*a*c^14*d^7*f^4 + 736*a*c^16*d^5*f^4 + 96*a*c^18*d^3*f^4)) + 96*a^3*c^3*d^13*f^2 + 240*a^3*c^5*d^11*f^2 + 320*a^3*c^7*d^9*f^2 + 240*a^3*c^9*d^7*f^2 + 96*a^3*c^11*d^5*f^2 + 16*a^3*c^13*d^3*f^2)*(-((320*a^4*c^2*d^8*f^4 - 16*a^4*d^10*f^4 - 1760*a^4*c^4*d^6*f^4 + 1600*a^4*c^6*d^4*f^4 - 400*a^4*c^8*d^2*f^4)^(1/2) + 4*a^2*c^5*f^2 + 20*a^2*c*d^4*f^2 - 40*a^2*c^3*d^2*f^2)/(16*c^10*f^4 + 16*d^10*f^4 + 80*c^2*d^8*f^4 + 160*c^4*d^6*f^4 + 160*c^6*d^4*f^4 + 80*c^8*d^2*f^4))^(1/2) - ((2*a*d)/(3*(c^2 + d^2)) + (4*a*c*d*(c + d*tan(e + f*x)))/(c^2 + d^2)^2)/(f*(c + d*tan(e + f*x))^(3/2)) + ((2*b*c)/(3*(c^2 + d^2)) + (2*b*(c^2 - d^2)*(c + d*tan(e + f*x)))/(c^2 + d^2)^2)/(f*(c + d*tan(e + f*x))^(3/2))","B"
1263,-1,-1,272,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))*(c + d*tan(e + f*x))^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1264,-1,-1,425,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^2*(c + d*tan(e + f*x))^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1265,0,-1,337,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(5/2)*(c + d*tan(e + f*x))^(1/2),x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(5/2)*(c + d*tan(e + f*x))^(1/2), x)","F"
1266,0,-1,258,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(1/2),x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(1/2), x)","F"
1267,-1,-1,218,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1268,-1,-1,163,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x))^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1269,0,-1,206,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x))^(3/2),x)","\int \frac{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x))^(3/2), x)","F"
1270,-1,-1,280,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(1/2)/(a + b*tan(e + f*x))^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1271,0,-1,330,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(3/2),x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(3/2), x)","F"
1272,0,-1,258,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(3/2),x)","\int \sqrt{a+b\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(3/2), x)","F"
1273,0,-1,218,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{\sqrt{a+b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^(1/2), x)","F"
1274,0,-1,213,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^(3/2), x)","F"
1275,0,-1,277,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^(5/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^(5/2), x)","F"
1276,-1,-1,391,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(3/2)/(a + b*tan(e + f*x))^(7/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1277,0,-1,429,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(5/2),x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(5/2), x)","F"
1278,0,-1,339,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(5/2),x)","\int \sqrt{a+b\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(5/2), x)","F"
1279,0,-1,264,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{\sqrt{a+b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(1/2), x)","F"
1280,0,-1,273,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(3/2), x)","F"
1281,0,-1,292,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(5/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(5/2), x)","F"
1282,0,-1,398,0.000000,"\text{Not used}","int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(7/2),x)","\int \frac{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((c + d*tan(e + f*x))^(5/2)/(a + b*tan(e + f*x))^(7/2), x)","F"
1283,0,-1,264,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(5/2)/(c + d*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(5/2)/(c + d*tan(e + f*x))^(1/2), x)","F"
1284,0,-1,218,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(3/2)/(c + d*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(3/2)/(c + d*tan(e + f*x))^(1/2), x)","F"
1285,-1,-1,163,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(1/2)/(c + d*tan(e + f*x))^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1286,-1,-1,163,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1287,-1,-1,218,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1288,0,-1,295,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(5/2)*(c + d*tan(e + f*x))^(1/2)),x)","\int \frac{1}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/((a + b*tan(e + f*x))^(5/2)*(c + d*tan(e + f*x))^(1/2)), x)","F"
1289,0,-1,356,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(7/2)/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(7/2)/(c + d*tan(e + f*x))^(3/2), x)","F"
1290,0,-1,273,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(5/2)/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(5/2)/(c + d*tan(e + f*x))^(3/2), x)","F"
1291,0,-1,213,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(3/2)/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(3/2)/(c + d*tan(e + f*x))^(3/2), x)","F"
1292,0,-1,206,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(1/2)/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{\sqrt{a+b\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(1/2)/(c + d*tan(e + f*x))^(3/2), x)","F"
1293,-1,-1,218,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(3/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1294,0,-1,301,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(3/2)), x)","F"
1295,0,-1,417,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(5/2)*(c + d*tan(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + b*tan(e + f*x))^(5/2)*(c + d*tan(e + f*x))^(3/2)), x)","F"
1296,0,-1,470,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(9/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{9/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(9/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1297,0,-1,347,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(7/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{7/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(7/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1298,0,-1,292,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(5/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(5/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1299,0,-1,276,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(3/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(3/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1300,0,-1,283,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^(1/2)/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{\sqrt{a+b\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^(1/2)/(c + d*tan(e + f*x))^(5/2), x)","F"
1301,-1,-1,295,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(1/2)*(c + d*tan(e + f*x))^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1302,0,-1,433,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(5/2)),x)","\int \frac{1}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/((a + b*tan(e + f*x))^(3/2)*(c + d*tan(e + f*x))^(5/2)), x)","F"
1303,-1,-1,596,0.000000,"\text{Not used}","int(1/((a + b*tan(e + f*x))^(5/2)*(c + d*tan(e + f*x))^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1304,0,-1,257,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^n,x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^n, x)","F"
1305,0,-1,214,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^3,x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^3, x)","F"
1306,0,-1,176,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^2,x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^2, x)","F"
1307,0,-1,143,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x)),x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x)), x)","F"
1308,0,-1,167,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m,x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int((a + b*tan(e + f*x))^m, x)","F"
1309,0,-1,223,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x)),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m}{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x)), x)","F"
1310,0,-1,301,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^2,x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^2, x)","F"
1311,0,-1,455,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^3,x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^3, x)","F"
1312,0,-1,283,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^(3/2),x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^(3/2), x)","F"
1313,0,-1,261,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^(1/2),x)","\int {\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m*(c + d*tan(e + f*x))^(1/2), x)","F"
1314,0,-1,261,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m}{\sqrt{c+d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^(1/2), x)","F"
1315,0,-1,283,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^(3/2), x)","F"
1316,0,-1,287,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m}{{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^m/(c + d*tan(e + f*x))^(5/2), x)","F"
1317,0,-1,99,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i)^m,x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^m \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i)^m, x)","F"
1318,0,-1,132,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i)^3,x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i)^3, x)","F"
1319,0,-1,93,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i)^2,x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i)^2, x)","F"
1320,0,-1,54,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i),x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + a*tan(e + f*x)*1i), x)","F"
1321,0,-1,134,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n/(a + a*tan(e + f*x)*1i),x)","\int \frac{{\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n}{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n/(a + a*tan(e + f*x)*1i), x)","F"
1322,0,-1,227,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n/(a + a*tan(e + f*x)*1i)^2, x)","F"
1323,0,-1,201,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x))^m,x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x))^m, x)","F"
1324,0,-1,219,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x))^3,x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x))^3, x)","F"
1325,0,-1,171,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x))^2,x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x))^2, x)","F"
1326,0,-1,127,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x)),x)","\int {\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n*(a + b*tan(e + f*x)), x)","F"
1327,0,-1,216,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n/(a + b*tan(e + f*x)),x)","\int \frac{{\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n/(a + b*tan(e + f*x)), x)","F"
1328,0,-1,293,0.000000,"\text{Not used}","int((c*(d*tan(e + f*x))^p)^n/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(c\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^p\right)}^n}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((c*(d*tan(e + f*x))^p)^n/(a + b*tan(e + f*x))^2, x)","F"